LIBRARY UNIVERSITY OF CALIFORNIA. Deceived -SfSl^L . . Accessions No. U?//} 74^ - Class No. ELECTRIC MOTIVE POWER: THE TRANSMISSION AND DISTRIBUTION OF ELECTRIC POWER BY CONTINUOUS AND ALTERNATE CURRENTS. WITH A SECTION ON THE APPLICATIONS OF ELECTRICITY TO MINING WORK. BY ALBION T. SNELL, it ASSOCIATE MEMBER OF THE INSTITUTION OF CIVIL ENGINEERS ; MEMBER OF THE INSTITUTION OF ELECTRICAL ENGINEERS; MEMBER OF THE FEDERATED INSTITUTES OF MINING ENGINEERS. LONDON : "THE ELECTRICIAN" PRINTING AND PUBLISHING COMPANY, LIMITED, SALISBURY COURT, FLEET STRKKT, E.C. 1894. [All Rights Reserved.] Printed and Published by THE ELECTRICIAN " PRINTING AND PUBLISHING CO., LIMITKI), 1, 2, and 3, Salisbury Court, Fleet Street, London, E.C. PREFACE "ELECTRIC MOTIVE POWER" is designed to be a practical treatise for Mechanical and Mining Engineers and other Students of Applied Electricity. Taking for granted an elementary knowledge of the theory of Electricity and Magnetism, I have endeavoured to give a clear exposition of the principles governing Electric Transmission of Power, and to develop them in accor- dance with the best practice of the present time. In doing this I have deemed it advisable to discuss the design of Dynamos, Alternate and Continuous Current Motors, Alternators and Transformers, as well as the various systems in vogue for transmitting and dis- tributing power. A large part of the book is devoted to a careful con- sideration of the alternate current systems, both single and polyphase. This is necessitated by their growing importance, as it is now well recognised by the leading electrical engineers of Europe and America that for power transmission they are superior to continuous -current systems. In a short Appendix are given some figures with reference to the prime cost of plants for long-distance transmission. The last two Chapters deal exhaustively with the applications of electricity to mining work, particularly with reference to collieries and coal-getting. It is hoped they will prove to be of interest to the large number of Mining Engineers who are now using or are advising the use of electric plants for lighting and power purposes. iv. PREFACE. The contents are arranged in ten chapters, each of which is, as far as possible, a monograph on one portion of the subject. Cross references enable the engineer or student to find required information with the greatest possible facility. The mathematics employed are of the simplest kind, entirely practical in character, and inch-pound-minute units are used throughout. Most of the tables of data and tests are new, and all have been compiled from recent and trustworthy informa- tion. The illustrations, about 250 in number, are chiefly diagrams rather than perspective drawings, as the former are more useful in practice, and the majority have been prepared specially for this work. In endeavouring to treat the subject as comprehen- sively as possible, I have necessarily drawn on the ex- perience of my confreres on both sides of the Atlantic, and have to some extent availed myself of the store of information contained in the columns of the Technical Press and in the Proceedings of the Technical Societies. I am much indebted to Dr. W. E. SUMPNER for many instructive hints with reference to the alternate current sections ; and my thanks are also due to many firms and companies who have kindly supplied me with information referring to special features in their manufactures. Although written primarily for Engineers and Students, I hope the book will be found of value to users of electric plant generally. ALBION T. SNELL. November, 1894.. CONTENTS. {A Complete Synopsis of the Contents of each Chapter appears under each Chapter Heading.) PAGE PEE PACE ... iii. INTRODUCTION CHAPTER I. THE GENERAL PLAN OF ELECTRICAL TRANSMISSION OF POWER 5 CHAPTER II. THE DYNAMO AND MOTOR 13 CHAPTER III. THE LINE AND THE DISTRIBUTING MAINS 69 CHAPTER IV. DIRECT-CURRENT SYSTEMS OF TRANSMITTING AND DISTRI- BUTING ELECTRICAL POWER 115 CHAPTER V. SINGLE-PHASE ALTERNATORS AND ALTERNATE-CURRENT MOTORS 149 CHAPTER VI. TRANSFORMERS 187 B2 vi. CONTENTS. PAGE CHAPTER VII. SINGLE-PHASE ALTERNATE-CURRENT TRANSMISSION AND DISTRIBUTION 211 CHAPTER VIII. POLYPHASE ALTERNATE-CURRENT WORKING 251 CHAPTER IX. ELECTRIC TRANSMISSION OF POWER IN MINING OPERATIONS 301 CHAPTER X. COAL CUTTING AND ROCK DRILLING BY ELECTRIC POWER... 345 APPENDIX 381 INDEX TO CONTENTS 385 INDEX TO ILLUSTRATIONS 399 LIST OF TABLES OF DATA AND TESTS 405 LIST OF FORMULA , 407 'BRSITY' INTRODUCTION. CIVIL ENGINEERING has been defined as " the art of directing the great sources of power in Nature for the use and conveni- ence of man." This definition was apt in the days which saw the incorporation of the Institution of Civil Engineers; it is doubly so now. Then gravitation, the expansion of vapours and gases, and the pressure of wind, formed the sum total of forces at the disposal of man for engineering purposes. The study of Electricity and Magnetism was in its infancy, and neither physicist nor engineer dreamed of the possibilities of the new force. It was not until nearly half a century later that the principles of electro-dynamics were developed, giving a fresh meaning to the old definition of Civil Engineer- ing by the inclusion of another force, all-pervading as gravitation, and powerful and manageable in a measure suggesting boundless possibilities of application. As yet we do not know what Electricity is, but its utilisation is by no means limited by our want of insight into its nature. We do not know what Gravity is, but we have a clear conception of weight, and we measure horse-power in gravitation units, estimating the effects of gravity, though its real nature is still a mystery. In like manner the electrician defines electricity in terms of the magnetic effects produced by it, having no exact knowledge of the causes, 2 ELECTRIC MOTIVE POWEK. although empirical suggestions, which fit the phenomena more or less completely, may give "educated guesses" as to their nature. Thus the utilisation of electricity demands no closer acquaintance with its nature than does that of gravity, which is made use of without direct reflection in almost every contrivance devised by man. At any rate, the laws governing the production and regula- tion of electricity have been very completely investigated, and in most practical cases are capable of treatment by the simplest mathematics. Electric Power is measured in definite units bearing an easily defined ratio to the mechanical expressions for horse-power and work. In fact, electric quantities are gauged with a degree of readiness and accuracy impossible with the corresponding quantities in steam, compressed air, or any system involving the transference of matter as well as of power. It is to this transmission of power without the conveyance of matter that electricity owes its superiority to all other means of transmitting power where distance is a factor in the problem. Since neither gravity nor material friction enters into the question, power is transmitted equally well horizontally or vertically, round the sharpest curves and by the most devious routes. The advantages of electricity from this point of view are at once apparent, and have already been widely recognised, both at home and abroad ; more especially where natural water power is available, and the distance between the source of the prime power and the point of application is considerable. On the Continent, water power is largely used for generating electricity; and at home, although less abundant, is steadily gaining favour. As might be expected, Electricity has found ready favour with mining engineers, and in more than one case the application of Electricity to Mining has resulted in profit where previously such a result was unattainable. But the importance of electric INTRODUCTION. 3 power in this connection has not yet been fully appreciated. So far back as the year 1889, the author pointed out in the Engineer that in districts where coal pits are in close proximity to each other considerable economy of power might be obtained by the establishing of central power stations on a basis- similar to that used for electric lighting. The idea has not commended itself to mine owners as yet, but it is certain to- do so as the conditions for economic working become better understood. At present it is not customary to keep so close an account of the cost of power at mines as is done at electric supply stations, and therefore it is not generally recognised how much waste may be involved in this item. Experience in lighting stations shows that the cost of power per unit is- largely reduced when the load curve is kept fairly constant during the night and day. Now the conditions of many collieries are such as to permit of a nearly straight line load curve ; for pumping, &c., can often be done at times when coal is not being drawn, and hence the one load can, in great measure, be made to balance the other. At the central power station alternators could be kept run- ning day and night. The power could be transmitted by duplicate mains at high pressure to transformers at each colliery, where the current could be transformed to a working pressure of, say, 500 volts. The power consumed by each colliery could be measured by recording wattmeters, or by ordinary current meters if the pressure were kept approxi- mately constant. The mains between the central station and the collieries could generally be carried on poles, but in a few cases it would pay to lay them underground. Such an arrangement would have the great advantage of localising all the generating plant under one roof, and in the charge of a special staff, whose only duty would be to supply power at all times at the lowest possible cost. It is evident 4 ELEGTEIG MOTIVE POWEE. that the cost of a unit of power would be much less under such conditions than when it is produced by a number of small plants, and that the cost of upkeep would be less because of more efficient supervision, while the reserve plant could be reduced very much below that absolutely necessary with independent plants. When a number of adjacent pits belong to the same pro- prietors, the introduction of a central power station would be simple. If the pits belong to different owners it would be easy to arrange an equitable system of charging on the basis of actual power consumed. The station might be financed by a single proprietor, or by an independent company, whose function would be to supply power exclusively. In the future developments of coal working some modification of this scheme will, no doubt, find a place. An electric power plant is more easily erected and controlled, and is generally more flexible, than any other. It is no more experimental than the steam engine and boiler, and, if built and erected by competent men, is cheap and trustworthy. CHAPTER L THE GENERAL PLAN OF ELECTRICAL TRANSMISSION OF POWER. 1. Electricity not a Prime Power. Steam and Water Power. The Dynamo. The Line. The Motor. The Machines Driven. BEFORE entering on the general subject of the Electrical Transmission of Power it will be well to define what is understood by the phrase, and also to note at this early stage that electricity is not a prime power (see foot-note on page 2). The problem will be at once understood by con- sidering a hypothetical case. On a hillside there is a water- fall, with its power running to waste. A few miles from this is a mine, where power is urgently required to drive the winding engines, pump the dips, and work the fans. A turbine or waterwheel is so arranged as to rotate by means of the falling water, and a dynamo is coupled to it. The electrical power generated by the dynamo is led by two copper conductors to the mine, and there runs the motors which reconvert the electrical into mechanical power and drive the mining machinery. Now, it is clear that electricity is simply the medium by which the power of the water is carried to the mine, and, therefore, is not a prime, but a secondary power. Natural water power is not often available, and, therefore, in the majority of cases, a steam engine is employed to drive the dynamo ; but the function of electricity remains the same. 6 ELECTRIC MOTIVE POWER. The essential factors of an electrical power plant may be summarised as follows : '. f Boilers. Steam - 1 Engines. (a) Prime Motors -j Water... Turbine or waterwheel. f Gas Producers. Gas -{ Engines. (b) Dynamos to convert the mechanical power of the prime motors into electrical power. (c) Copper conductors to transmit the power from the dynamos to the motors. (d) Motors* to reconvert the electrical into mechanical power. (e) Machines to absorb the work given out by the motors. We will now briefly examine these before developing the main scheme of the book. (a) Prime Source of Power. The consideration of this part of the working plant belongs more properly to a treatise on prime motors ; but the requirements of electrical work have introduced quite a revolution into the building of both steam engines and turbines, and probably a few hints as to the class of plant most suitable will not be unacceptable or out of place. The dynamo is essentially a high-speed machine, one of the fundamental factors of both output and efficiency being a high peripheral speed of the armature. Practical considerations con- fine this to about 3,000ft. per minute ; and hence, for a given output, economy of material and labour will limit the diameter and length of the armature so as to make the speed a maximum. Now the stationary engine of 15 or 20 years ago was, on the contrary, a slow-speed machine, i.e., the flywheel made rela- tively few revolutions per minute, although the piston velocity may have been in some cases as high as 300 or even 400ft. * Probably most installations will be used for lighting as well as power purposes. By suitable arrangements, either the line or the distributing mains can be tapped at any part, and lamps of the proper voltage can be coupled across them. The power absorbed by the lamps, however, will not be available for use at the motors, and so a margin must be made in the output of the dynamos to allow for the lighting work, PEIME MOTORS. 7 per minute. The cylinders were of large diameter and long stroke, being designed to work with low boiler pressures. Therefore, when it became necessary to drive dynamos by this type of engine, difficulties arose in belting the dynamo pulley to the flywheel ; and it soon became evident that the engine was in many ways unsuitable. Firstly, it was in- efficient for the class of work ; secondly, it governed badly ; thirdly, it was costly in relation to its output ; and, fourthly, it required foundations of a strength out of all proportion to the load. These weak points in steam-engine design were gradually forced on the notice of mechanical engineers by the introduction of the efficient and high-speed dynamo. But im- provements were made before long. Boilers were built for higher pressures, enabling engines to be designed with smaller cylinders and to rotate at higher speeds. Next, governors were improved, and soon the tell-tale pilot lamp scarcely showed the variations of speed, and now it is by no means un- common to find engines governing to within 2 per cent, or even less. Compound and triple expansion engines have now become general. The vertical type of engine, with inverted cylinders, finds most favour for driving dynamos. It is used either single, compound, or triple, with or without condensers, ac- cording to output and circumstances. It is coupled direct or by belting, requires small foundations, gives a minimum of trouble, and is cheap and efficient. Compared with the beam or horizontal engines of from 20 to 30 years ago, it is as David to Goliath. The change in boiler design has been equally remarkable. Fifty pounds to the square inch used to be considered a fair working pressure with boilers of the Lancashire type ; now from SOlbs. to 1201bs. is not uncommon; and with multitubular and watertube designs 1401bs. or even a greater pressure fre- quently occurs ; and water-heaters, economisers, and mechanical stokers are now thoroughly appreciated. All these improve- ments, it is needless to say, tend to raise efficiency and decrease the running charges. In choosing steam plant for an electrical transmission instal- lation, therefore, the rules and precautions adopted in laying c2 8 ELECTRIC MOTIVE POWER. down a central station for lighting should be followed. First choose a convenient unit of power, i.e., select the best size of dynamo to give the minimum work required during the twenty- four hours, and then if this be of convenient size keep to it as the standard, and simply multiply the unit as the work increases. If the minimum output be very small, it will probably be best to have a separate plant to deal with this part of the work, and to select a larger unit for the main installation. Having fixed the output of the dynamo, the size of the engine which has to run it, either direct or by belting, is easily determined, and the boiler power is also known. The boiler unit may be sufficient to run one or two engines ; this will depend on their size, and cannot be definitely fixed without a knowledge of each case. The boilers should each be coupled with a stop-valve to the steam main, so that any boiler can have the fires banked or be shut down separately. One boiler and an engine and dynamo should be held in reserve in all large installations. If water-power be used, the turbine or water-wheel can ad- vantageously drive the dynamo direct, or belting may be used. The general considerations for determining the size of dynamo unit will hold just the same as with the steam plant; and, indeed, the whole station arrangements will be similar, except that the turbine will replace the boiler and engine. It is unnecessary to point out the simplicity of such a power station, or to refer to the advantages of the utilisation of waste water power by electricity they are self-evident. It is not surprising that magnificent transmission plants have sprung into existence during the past few years ; the wonder is that the number of such plants is not tenfold greater. Surprise may be felt that the author includes gas engines among the prime motors for electric transmission plants, but experience most decidedly points to them as a feature of future installations for small outputs, especially if the load be intermittent, and the load factor consequently low. It has been thoroughly demonstrated that it is more economic as regards the quantity of light obtainable to consume coal gas in an engine, and to utilise the energy for driving a lighting dynamo, than to burn the gas direct in the ordinary way ; THE DYNAMO. 9 and the cost of power may be still farther reduced if producer gas be employed. The gas-making apparatus is to the gas engine what the boiler is to the steam engine, and the cost of wages and repairs in each case is about the same. As regards the cost of producing this gas, the Dowson Economic Gas and Power Company state that, on a moderate scale, with coke cost- ing 12s. per ton, the average cost of the volume of Dowson gas required to give the same heat as 1,000 cubic feet of ordinary town gas is only 10d., while in large plants the cost falls as low as 6|d. Allowing for the variations of price of coal gas and fuel, it may be fairly assumed that producer gas will be about one-quarter as costly. Considerable improvements have of late years been introduced in the design of gas engines ; and double-cylinder engines of 100 B.H.P. are now running successfully, and prove more economic for intermittent and varying loads than steam plant of similar capacity. It may be assumed, therefore, that gas engines will find a field for transmission of power work in certain cases. At Schwabing, a suburb of Munich, a lighting plant with gas engines and Dowson gas runs ten arc lamps and 270 glow lamps of 16 c.p. each, and 30 of 32 c.p. each, at a cost for fuel of Id. per brake horse-power per hour, the fuel consumption being 2Jlb. of mixed coke and anthracite per brake horse- power hour. This result compares favourably with the per- formance of good steam plant. And in England the Morecambe Electric Light Company use gas engines, with Dowson gas, indicating 110 H P. each. (b) The Dynamo. The function of the dynamo is to convert mechanical into electrical power, and the machine, if well made, accomplishes this end in a most satisfactory manner. The ratio of conversion of a good dynamo at full load varies between 90 and 94 per cent., and this high efficiency is main- tained through a considerable range of output ; at half load it is about 85 to 90 per cent., and at one quarter load will not fall below 75 per cent. ; while running on open circuit the power absorbed is only sufficient to overcome friction. If the plant be divided into suitable units, it will always be possible to run at nearly the full output of the dynamo, 10 ELECTRIC MOTIVE POWEll. and so secure a high working efficiency. In addition to the high-speed dynamo already referred to, there is a slow-speed type, which is used when it is desired to couple dynamos directly to the engine shaft. The output of a dynamo is roughly proportional to the length of the armature into the square of its diameter = say I D 2 . Let the surface velocity be fixed. If D be large then I will be small, and vice versa. In order to design a slow-speed dynamo it is necessary, then, to take a large diameter and a short length for the armature proportions. This type of machine is heavy and costly, in consequence of the large field-magnets, yokes, and extended beds, and the increased cost of machining and labour ; but these disadvantages arc, in the opinion of some designers, more than counterbalanced by the decreased speed. American practice favours dynamos running at from 800 to 1,000 revolutions per minute, coupled with belts to high- pressure engines making from 200 to 350 revolutions. Con- tinental engineers are leaning to the slow-speed steam dynamos, and recently huge plants, with units of 500 H.P. and upwards, and triple expansion condensing engines, have been laid down for town lighting. English engineers are very much divided in opinion upon the subject ; but there certainly seems to be a tendency to use steam dynamos of about 100 unit capacity running at from 175 to 250 revolutions per minute. Viewing the question of the electrical power station from all sides, and laying particular stress on the high pressure that will be required, it appears that the dynamo will generally be belt- driven, and therefore it will be permissible to use high-speed dynamos. A convenient size for a high-pressure transmission dynamo for use in mines is 50 or 100 H.P. ; the speed may be from 450 to 600 revolutions per minute. (c) The Line. The success of an installation will very largely depend on the care and forethought shown in the selection of the gauge of copper and the erection of the line. As the general conditions to be observed will be discussed hereafter THE MOTOR. 11 seriatim, it need only be noted here that the power wasted in the conductor may be made as small as desired, for the loss varies directly as the length and inversely as the area of cross-section. There are, of course, limits both to gauge and length of conductor ; but these are determined as much by financial as by practical considerations. The essential con- ditions of a successful line are : Firstly, a continuous metallic circuit between the dynamo and the motor ; and, secondly, high insulation resistance, so that the current does not leak to earth ; for defective insulation means not only a direct loss of power but may also entail a risk of fire. (d) The Motor. The motor is similar in appearance to the dynamo, though its function is the converse, viz., to convert electrical into mechanical energy. It is, in fact, a reversed dynamo, is governed by precisely the same laws, and its action is accompanied by similar phenomena ; and, moreover, it is quite as efficient. The reversibility of the dynamo is said to have been discovered by an accident, though more probably it was the result of the steady and laborious study of early inven- tors. Be this as it may, the fact has been thoroughly recog- nised, and full advantage has been taken of the opportunities afforded by it. The motor is as varied in the details of construction as the dynamo, the design being modified to suit the work expected from it. It is made to give either high or low speeds, and for high or low pressures. (c) The Machines Driven. The machines to be driven need no special reference, but care must be taken to couple them to the motors in a suitable manner. High-speed machines may often be connected directly to the motor-shaft ; or they may be coupled by gearing or belts ; and countershafts, friction clutches, and other devices may be used. But whatever arrangement be adopted, care must be taken that the motor speed, pressure, and current be approximately those designed by the makers. If any of these points be neglected, the motor will not be working under the best conditions, and there will be a loss in efficiency. ^^^flR**^****, 12 ELECTRIC MOTIVE POWER. The importance of this will be made clear in the sequel. Attention will be drawn to the different types of electric motors and the kind of work for which they are specially adapted. And an electric plant will be shown to be more flexible and suitable for a greater variety of conditions of working than any other means of transmitting and distributing power now in vogue. The general idea involved in the expression " an electrical transmission plant" has now been explained, and the way is cleared for a more minute study of the electrical part of the subject, which is the main theme under consideration. CHAPTER II. THE DYNAMO AND MOTOR. 2. Introductory. 3. Units and Symbols. 4. First approximation to the Size of Armature for a given Output and Speed. 5. Funda- mental Equation connecting the total E.M.F. with the Armature Constants. 6. The Ratio between Radial Depth of Core and Diameter of Armature. 7. Determination of the Number of Conductors on the Armature. 8. Design of Field - Magnets. 9. Calculation of the Magnet Details. 10. Calculations of the Field Excitation. 11. Special Points to be observed in Designing Motors. 12. Practical Example of preceding Methods of Design. 13. Tabulated Form for use in Designing Dynamos and Motors. 14. Series, Shunt, Compound, and Separate Excitation. 2. INTRODUCTORY. THE author has not thought it advisable to enter into an elementary discussion of the principles underlying the con- struction of dynamo-electric machines. This is the province of text-books on electricity and magnetism. Here the object aimed at is rather to develop the lines on which these princi- ples are applied in practice, and to give useful information to those using electric plant. Although machines suitable for the transmission of power are chiefly considered, yet the method advanced is equally applicable to dynamos intended for lighting and other purposes. First, it is necessary to distinguish between the dynamo and the motor. In the introductory remarks it was mentioned that the dynamo was a reversible machine, the motor being the converse of the dynamo. The functions of the two machines must now be compared. The chief conditions of working in the two cases are widely different, and these distinctions must be duly considered in the design. The dynamo will usually be driven at a speed as nearly constant as possible, and will be required to give a variable output at a constant pressure. The motor will usually be run at a fairly constant pressure of supply, and will be required to give a variable torque at a 14 ELEGTEIC MOTIVE POWER. constant speed. The dynamo in most cases will be placed in a dry engine-room, and will meet with at least as much attention and care as ordinary steam plant. The motor, on the other hand, must be in close proximity to the machine driven, and will frequently be in a dusty, dirty, and more or less exposed position ; and the attendance will be most likely a few visits daily at the most. The dynamo will probably run with fairly steady loads, and not be subjected to large sudden variations of output. The motor must, in the nature of things, meet with rougher usage. If the work be intermittent, the stoppages frequent, or overloading common, the motor must meet the demand, no matter how great the strain. It follows, therefore, that the motor should be built with a larger factor of safety than is usually necessary with a dynamo ; and that extra care should be given to the insulation and general details. To ensure due prominence being given to these conditions, it is the author's practice to base the design of the dynamo on the total armature E.M.F., and to give special attention in the building of the motor both to the maximum and the average torque. 3. UNITS AND SYMBOLS. To make the equations suitable for the drawing office, inch- pound-minute units will be used. The author has for some time endeavoured to use the C.G.S. system in dynamo design; but he has invariably found it necessary to convert the measurements into English quantities before the drawings could be used in the shops, because the workman uses a foot-rule and thinks in eighths and quarters of an inch. The decimal system has not met with much favour in this country ; and until it is in more general use there is nothing to be gained by making the duplicate measurements. To the pure physicist the C.G.S. system of units offers a real advantage, for it simplifies his work ; but to the construction engineer, at present at any rate, it only means an increased number of figures with a cor- responding chance of error from clerical slips. The symbols will be as nearly as possible those used in Prof. Silvanus Thomp- son's "Dynamo-Electric Machinery," because these are, no doubt, already widely used, and so will be readily followed by the majority of men interested in the subject. UNITS AND SYMBOLS. 15 SYMBOLS USED IN THE FOLLOWING CALCULATIONS AND EQUATIONS. A = area in square inches. ATs = ampere turns with armature on open circuit. "iBoth refer to field- OTs compensating ampere turns for full load. / magnets. B" a = magnetic induction per square inch of armature cross section. B"f = magnetic induction per square inch of field-magnet cores. B" g = magnetic induction per square inch of area of air gap. N a , Nf , N K = total magnetic fluxes severally in armature, field-magnet, and air gap. C d = total number of conductors in armature, counted all round the external periphery, and therefore applicable to either drum or Gramme winding. C m , C 8 = total number of turns of wire on series and shunt coils respec- tively of field-magnets. D = outer diameter of armature, > d = inner diameter of armature, T- radial depth of iron of armature, J in 1 = length of armature reckoned over iron, ) E = total electromotive force generated in armature, either "| dynamo or motor, J-in volts. e = difference of potential from terminal to terminal, i = current in external circuit, t a = current in armature, i 8 = current in shunt coils, in amperes. ? m = current in series or main coils, n number of revolutions per minute. p number of pairs of poles. K resistance of external circuit, r a = resistance of armature coils, ^ . r s -resistance of shunt coils, ( iu olun3> r m resistance of series or main coils, ) T torque or turning moment. v coefficient of magnetic leakage. 5 = length of air gap on one side only, 10 = width of polar cavity, Lg length of polar cavity, J> in , a , 7Hf , mfi = mean length of magnetic paths, respectively, in armature, cores and pole pieces, and yoke, FOR ALTERNATE CURRENTS. ' nip = total impressed electromotive force of armature, \ 'imp = impressed difference of potential from terminal to terminal, in effective volts. = resultant electromotive force, =self induction electromotive force, impressed current, = dynamic or working current, [-in effective amperes. = wattless or condenser current, = coefficient of self-induction in lieuries. 16 ELECTRIC MOTIVE POWER. 4. FIRST APPROXIMATION TO THE SIZE OF ARMA- TURE FOR A GIVEN OUTPUT AND SPEED. The first point to determine in designing a dynamo is the size of armature that is best suited to meet all the require- ments of the problem. Usually the volts, amperes and speed are fixed, and frequently the selling price too. The latter item cannot be specially discussed, but a few hints gathered from practice will be given when possible. We know, then, e, i and n. The size of machine can generally be selected by reference to a price list, and by making a few rough calculations. But, if the type be new to the shop, no data are available, and it is necessary to resort to a few figures and to solve a few simple equations. The output of any dynamo is proportional to the volume of the armature, the number of revolutions per minute, and the magnetic flux. Hence output oc ZD 2 ?iN a &, where k is a dimen- sional constant to reduce the product to watts or horse-power. The author first published empirical equations of this form in 1888, and coupling N a and k, he based the resultant value on an average magnetic density and radial depth of core. Such assumptions are found to be fairly correct for the greater number of bipolar machines with outputs of from 10 to 100 H.P. ; but below and above these limits the equations are not so nearly in accord with actual results. Small machines realise smaller outputs than this theory indicates, owing to the disproportionate resistance of the air gap ; while in large machines the output is so largely affected by the design of the field-magnets and the arrangement of the poles that separate calculations are needed for every type. Nevertheless, similar equations can easily be determined for any size and type, but the constant must be adjusted to suit the conditions. For Gramme armature dynamos the author finds the coefficient O'Ol to give fair results between the limits stated ; and for drum machines 0-015, the output in each case being in watts. Thus for dynamos : Watts = ID 2 n 0-01 (Gramme) . . . (1) Watts = lD 2 n 0'015 (drum) ... (2) EQUATIONS FOE OUTPUT. 17 and for motors, estimating the output in brake horse- power : B.H.P. = / D 2 n 0-00001 (Gramme) . , (3) B.H.P. = ZD 2 n 0-000015 (drum). . . (4) It should be rioted that a drum armature is capable of giving an output which is 50 per cent, in excess of a Gramme ring of the same over-all dimensions. This enormous advan- tage in the weight efficiency of drum armature machines is well recognised, and where the conditions of running admit of the design it should be invariably used. Indeed, if it were not for the difficulties in the winding and insulation of drums, Gramme armatures would soon be obsolete. The superiority of the drum lies chiefly in the following points : (a) it has no inside wires to cause an internal field, as well as to increase the dead resistance of the winding ; (5) there is less in- equality of E.M.F. in the coils, since each turn of wire embraces the whole armature field ; and (c) the iron can be carried right to the shaft, and therefore the magnetic induction per unit of area may be made low, though the total flux be very large. The Gramme winding, although causing an internal field and a more irregular distribution of the lines of force, is better adapted for rough work, since coils of very different potentials are not in close contact, as occurs with ordinary drum wind- ings. There are arrangements of drum bar windings with spiral or crank-shaped end connections which obviate this objection to some extent ; but experience has all along pointed to the Gramme type of winding as the safer for hard work. The author has tried both methods, and has no hesitation in advising the Gramme winding for high-tension transmission dynamos and motors. For lighting dynamos of, say, from 100 to 200 volts, the drum type, with bar windings, and spiral strip connections, is the better, and is generally adopted now when other considerations do not prevent its use. The rough dimensions of the armature for dynamo or motor may now be assumed to be known, and the calculation of the winding may be proceeded with. 18 ELECTRIC MOTIVE POWER. 5. FUNDAMENTAL EQUATION CONNECTING THE TOTAL E.M.F. WITH THE ARMATURE CONSTANTS. The factor of prime importance in armature design is E, the total E.M.F. The value of E is determined by the relationship E = e4r a ....... (5) The positive sign must be used for the armature of a generator, and the negative for that of a motor. The armature current i a is known from the conditions of the problem ; but r a has to be determined, as the winding is not yet chosen. An assumed value must be substituted in (5), which can be amended when the gauge and number of turns of wire are definitely fixed. The numerical value of * a r a cannot yet be fixed, but it can be conveniently expressed as a percentage of E. The follow- ing table of approximate values will be of use at this stage : Table A. Output of dynamo or motor in H.P. 2-5 a ?*a expresse percentage o 6 per d as a EE. cent. I 9 j 9 j 5 5-5 10 5 15 4 20 3 25 ... . 2-75 30 2-5 50 2-25 100 , , 2 The total armature E.M.F. is given by (G) C a , the number of turns of wire counted all round the periphery, is the most important variable ; n is the number of revolutions per minute, and is given by the conditions of running. N a is the total magnetic flux, and is numerically equal to the product of the number of square inches in the cross section of the armature iron and the magnetic density per square inch, or N a =B/2r/0-85 ...... (7) The coefficient 0'85 is introduced to allow for the insulation between the plates of the armature. DEPTH OF ARMATURE CORE. 19 The value of I was fixed when the over-all dimensions of the armature were chosen ; and so in practice would be that of r ; for the radial depth of core has presumably a fixed ratio to the diameter of armature for a given type of field- magnet. Various considerations determined by experience fix the mag- netic flux per unit area at from 90,000 to 110,000 lines of force. Therefore N a can readily be determined as soon as the size of armature is selected. $6. THE RATIO BETWEEN RADIAL DEPTH OF CORE AND DIAMETER OF ARMATURE. The following ratios between radial depth of core and diame- ter in Gramme armatures have been taken from practice, and illustrate the difference of opinion on the subject. They all refer to bipolar machines. It will be noted that they vary from i to y. Table B. Diameter of core = D. Radial depth of core = r. 7 inch 1-0 inch. 8 : 1-25 8-875,, 1-125 10 1-5 10 2-0 12 1-875 12 2-25 13 2-0 M 2-5 15 2-25 15 3-0 16-875,, 3-0 18 4-0 24 4-5 In multipolar design the radial depth will be given approximately by -, where r is the depth for a bipolar machine and p is the number of P pairs of poles. 7. DETERMINATION OF THE NUMBER OF CON- DUCTORS ON THE ARMATURE. The factor neither known nor approximated to as yet is the number of conductors. This is found by putting E GO 20 ELECTRIC MOTIVE POWER. which determines the trial value of C a . Dividing the necessary number of turns into the space for winding on the periphery gives the width over the insulation of one turn. Deducting the insulation thickness, say, from 7 to 8 mils on each side of the wire, the remainder gives the net width of copper. C a may be a number that will conveniently form one or two complete layers on the armature ; if such be the case, a round wire may be generally chosen ; but if the number will not fit into one or two layers, it will be advisable to use a wire of rectangular section, the width being such as to fill up com- pactly the winding space, and the depth such as to give a suitable air gap. The current density has been thus far purposely neglected, as the determination of a suitable number of turns is of the first importance ; and therefore special stress has been laid upon it. The relation of cross-section of copper to the current must now be carefully considered, since the heating of the armature (i & 2 r & ), as well as the fall of potential (* a r a ), and the efficiency of the machine depend on this. No current density can be said to be the best in all cases j it is a question of size of machine, cooling surface of armature, character of output, peripheral velocity, ventilation, and time of duration of maximum load. The practical limits are between 1,500 amperes per square inch in large machines, and 3,000 with outputs as small as 5 H.P. The permissible total heat waste for a given rise of temperature in degrees Fahrenheit may be roughly estimated for any ordinary armature by the following empirical equation, which is based on a surface velocity of about 3,000 feet per minute : Rise of temp. Fahr. deg. = Watts 64 . . (8 A ) Surtace in sq. in. The constant is determined for the exterior surfaces only ; hence, for Grammes, the surface is given by the perimeter x the length + the area of the two end winding spaces ; and for drums the length may be measured from the commu- tator along the extreme length of the winding in order to allow for the two ends which are usually covered up if ARMATURE CURRENT DENSITY. 21 they are open their areas should be included in the cooling surface. The usual rise of temperature arranged for by designers is about 70F., and then the equation allows an area of rather more than one square inch per watt. This is an ample allowance for most small and medium size armatures, but it is not nearly sufficient with very large machines having massive iron cores. Internal ventilation and, perhaps, a " forced draught" have then to be resorted to as is seen in the case of the modern bar wound drum armatures. The watts must be understood to comprise the heat from all sources, hysteresis, eddies, and 4 2 r a loss in the copper. If the number of volts to be lost over the armature resistance be determined from Table A, then r a is known, and the cross-section of copper to give this value with the calculated number of turns can be found. It is advisable also with Gramme armatures to consider the depth of copper in relation to the radial depth of armature core, since the output of the machine will vary as the depth of the copper up to a certain practical limit. This point is reached where the air gap becomes so deep that the resistance is too high for the field excitation to give the necessary magnetic density; or else when the circumflux,* -, on the armature causes a cross and back fields of such magnitude that sparking ensues. It should be remarked, however, that the output of the arma- ture is not greatly affected by even considerable differences in the length of the gap. For, with the standard sizes of fields the excitation is practically fixed, and so a large gap with deep copper implies a weak magnetic density ; and a small gap with less copper means a corresponding gain in the number of lines of force. Two empirical equations, due to Mr. W. B. Esson, connecting the circumflux and the armature diameter, are important, for they give at once the permissible value of C a . * This expression for the circumflux of an armature is applicable to machines with any number of poles, and must not be confounded with the ampere turns. The numeral occurs simply because the symbol i & is chosen to represent the total armature current and not that in each conductor. 22 ELECTRIC MOTIVE POWER. For Gramme armatures Circumflux = ^ = D 1000; . . ^ . (9)* for drum armatures Circumnux = ^l a = D 1500, . . . (10) 2i D in each case being the diameter measured over the winding in inches. Practically, with Gramme ring armatures, it is found that the best all-round results are obtained with a ratio of radial depth of, copper to iron of from J- to -f%. With drums some 50 per cent, more copper may be allowed, as is evident from the empirical equations (1), (2), (9), and (10). This ratio is important in Gramme armatures, because the narrow section of iron must be magnetised to at least B a " = 1 00,000. In drums this ratio has no meaning, since the iron is made as deep as possible, reaching even to the shaft itself, and the depth of copper is determined simply from the heating limits and the possible length of gap, having regard to an economical field-magnet and excitation. The thickness of the copper being known, the length of the air gap can be determined approximately. It may have to be adjusted when the field-magnet excitation is calculated from the trial equations. 8. DESIGN OF FIELD-MAGNETS. The function of the field-magnets is simply to supply the necessary magnetic flux, with due regard to an economical dis- tribution of iron and copper. The shape does not directly enter into the question, and is really a matter of convenience, and perhaps fancy. Broadly speaking, field-magnets may be divided into the bipolar and multipolar types, each of which is subdivided into a number of forms, sometimes pos- * In (9) and (10) the diameter is expressed in inches instead of centi- metres, and so the coefficients have different values from those given by Mr. Esson. TYPES OF FIELD-MAGNETS. 23 sessing real advantages, but often only expressing individual taste. Some of the more general designs are shown in Figs. 1 to 9. (a) The Single Magnetic Circuit Bipolar Field-Magnet. This popular shape of magnet is simply a development of FIG. 1. Wrought Cores, Cast Yoke, Upright Type. FIG. 2. Cast Iron. FIG. 3. Wrought Iron Inverted Type. FIG. 3A. Wrought Iron Cores and Yoke, Cast Iron Pole Pieces. the primitive horseshoe magnet, and is largely used in both the upright and inverted forms (Figs. 1 to SA). The former arrangement has a lower leakage coefficient than the latter, and D2 24 ELECTRIC MOTIVR POWER. is generally adopted for small armatures ; but since the centre of gravity of the rotating part is high there is a tendency to instability, and, consequently, with large diameter armatures the latter is more generally adopted. The single magnetic circuit field-magnet is cheap to build, and is excited with a relatively small quantity of wire. Its principal disadvantage lies in the unequal distribution of the magnetic flux in the polar space, and hence inequality of in- duction in the armature wire. For this reason drum arma- tures are most frequently used in these fields. Large Gramme rings are practically impossible with the single magnetic cir- cuit. The largest size, in the author's opinion, that is advisable is a diameter of about 12in.; if this be exceeded there is a tendency to spark with large outputs, so that the armature cannot be loaded to its proper limit. Larger sizes should be run in double magnetic circuit bipolar fields, or, if very large, in multipolar fields. (b) The Double Magnetic Circuit Bipolar Field-Magnet. Figs. 4, 5, and 6 illustrate this well-known form of field- magnet, and show the variety of ways in which it is built. Fia. 4. " Snell " Type of Double Magnetic Circuit Magnet. Wrought Iron Cores and Cast Iron Pole Pieces. The resulting distribution of magnetism is symmetrical, though the "field" as a whole may be rotated considerably (see Fig. 14 A, page 51). Therefore a Gramme armature as large as, say, 15in. in diameter may be profitably excited in this type. The chief objection is that the number of ampere-turns in the exciting TYPES OF FIELD-MAGNETS. 25 coils has to be about twice as great as in the single-circuit type for a given induction in the armature. This type has also a larger coefficient of leakage than the single magnetic circuit. If the armature be 18in. or more in diameter, it will be advisable to increase the number of pairs of poles, although by doing so the exciting turns will be somewhat more numerous. FIG. 5. Wrought Iron Cores and Cast Iron Pole Pieces. FIG. 6. Wrought Iron. (c) Multipolar Field-Magnets. The two types most in vogue are shown in Figs. 7 and 8. It is not easy to state exactly at what diameter of armature it is commercially pro- fitable to depart from the bipolar type. But there seems to be some connection between the angular width of the polar cavity and the diameter of the armature. The ratio of interpolar space to the width of the poles, with Gramme rings, is usually about 1:3; and the width of the pole, w, may be expressed in terms of the diameter, as 26 ELECTRIC MOTIVE POWER. If the maximum economic diameter with a single magnetic circuit field be 12in. the width of pole will be ^_ = 12*5 o inches approximately. With a double magnetic circuit the diameter may be as large as, say, 15in. ; and the polar width will be - =15'75. The limiting width of the polar 3 FIG. 7. Wrought Iron. Four Poles. cavities therefore varies between 12-5in. and 15'75in. These limits accord well with practice, poles seldom being found shorter than the former or longer than the latter in multi- polar designs. Continental engineers have lately developed large Gramme rings with multipolar field-magnets, and have attained considerable success. Recently this design has been FIG. 8. Multipolar Design in Cast Iron. appreciated in England and America. Some four years ago the author selected it for large transmission-of-power machines, and also for central-station dynamos ; Mr. Kapp has developed the same idea, using, however, drum armatures ; and the Thom- son-Houston Company have also adopted the device for their traction dynamos. TYPES OF FIELD-MAGNETS. 27 (d) Armour-clad fields, as in Fig. 9, are coming into use for certain purposes, particularly for motors which have to work in very exposed positions. For tramcars, they are often built with only one exciting coil, one pole piece being made very short. FIQ. 9. Made in Wrought or Cast Iron or with Wrought Poles and Cast Yokes. Armour-clad Type. This type (see Fig. 10) offers no special advantages other than the excellent protection it affords to the armature and field winding. (e) General Conclusions with reference to Field-Magnet Design. A point to be specially observed before discussing the proportions of iron and copper is that no one design of field is equally well adapted for every size of armature. If cost of production be the ruling factor the single-magnetic circuit type is preferable for armatures up to, say, 12in. in diameter; from this to 15in. the double circuit may be used ; but from 18in. and upwards one of the multipolar forms should always be employed. This feature of dynamo design has received little attention outside of the workshop. The author has been led to investi- gate it when designing large machines ; and he some time ago discussed at length the relation of weight to cost, with varying 23 ELECT HIC MOTIVE POWER. types of machines.* He finds that the curves connecting weight and output, and cost per kilowatt with output, follow very different laws with distinct types of machines. The FIG. 10. Thomson-Houston Tramcar Motor. subject is interesting, but rather outside the scheme of this book, and therefore only two diagrams will be given, which show the genera] shape and order of the curves. It will be seen that the weight - output curve follows practically a * Electrical Review, July, 1892. MAGNETIC INDUCTION IN IRON, ETC. 29 straight line law, and that the output of a dynamo or motor is proportional to the cube of the linear dimensions of the machine, practically of the armature diameter (see Figs. 11 and HA). The question of material has not yet been mentioned, because this is rather a matter of cost and convenience. The necessary sections and corresponding inductions with wrought and cast iron are given in the following Table C, and the student can estimate for himself the relative advantages. Practically, with bipolar machines at the inductions usually employed, viz., B" f = from 77,000 to 100,000 in wrought iron and from 45,000 to 50,000 in cast iron, the relative magnet cross- sections should be in the ratio of 1 6 : 3, the effective armature section being taken as unity. Of late, cast steel magnets have been used with some success. The induction curve for cast steel lies nearer to that of wrought than to that of cast iron, and so there seems a probability of its use becoming more frequent. Table C. TABLE giving Area of Wrought and Cast Iron to correspond to given inductions in air, assuming all the lines to pass through the iron and none to leak. Wrought Iron. Cast Iron. Air. Area. B" a . Area. Bn a. B. 1 70,750 2-2 36,500 100 1 90,750 217 42,000 200 1 100,250 2-17 46,000 300 1 100,575 2-07 48,500 400 1 100,650 1-9 52,500 500 1 100,770 1-9 54,500 600 1 110,050 1-93 57,250 700 1 110,150 1-83 59,750 800 1 110,250 1-8 61,750 900 1 110,265 1-74 63,500 1,000 1 110,500 1-7 65,250 1,100 1 110,650 1-7 66,500 1,200 1 110,750 1-6 67,750 1,300 1 110,800 1-6 69,250 1,400 1 110,900 1-57 70,250 1,500 1 120,000 1-4 71,250 1,600 From George Halliday's " Notes on Designs of Small Dynamos," p. 33. 30 ELECTRIC MOTIVE POWER. tt e 3 ' a |; 2 1 C 8000 7000 / & n s ""*>..,_ Watts ^ \ ? bUUU z i / ^"^ '""^ ^,- 5000 I ^ 7 ED y / 20001 g / ^ X s* 35, 15 20 25 30 35 40 4 KILOWATTS. FIG. 11. Curve I. connects total weight with output. Curve II. connects watts per pound with output. COST PER KILOWATT IN POUNDS. "'-'_. K> 10 K> CO C O*CJoo>o-^CDK}fl 320 280 240 i / 1 l 1 l / y i i ^ 0;^ 1 / 120 80 40 Q r\ / s 8\ ^-V / Com _i L- / ..... KilovH 'att. r 6 10 15 20 26 30 3& 40 4 KILOWATTS. FIG. HA. Curve I. connects total cost with output. Curve II. connects cost per kilowatt with output. CALCULATION OF MAGNET DETAILS. 31 Annealed mild steel has met with some favour, but is not likely to supersede wrought iron at present. Good samples show a permeability equal to that of Swedish iron, and there- fore better than that of ordinary magnet forgings, which are simply heavy machine scrap, and often of doubtful quality. The shape of the magnet cores is of importance, because the length of the mean turn of the winding is affected thereby. The circle has the minimum perimeter for a maximum area en- closed, and therefore possesses the ideal section ; and the square gives, from this point of view, better results than any other rectangular form. Structural considerations, however, carry great weight, and it is found in many designs that a rectangular core, with length equal to twice or three times the depth, most nearly meets all the conditions, in spite of the extra expense in copper. 9. CALCULATION OF THE MAGNET DETAILS. (a) Winding Space. In the preceding section the usual areas of cross-section of armature and field-core were shown to be in the ratio of 1 ; 1 *6 for wrought-iron magnets, and 1 ; 3 for cast- iron. These ratios are not absolutely the best in all circum- stances, but in practice they give economical results. It may be assumed, then, that a type of field is chosen, and that the material has been decided on. The area of the field-magnet cores will also be known from its relation to the area of the armature iron. The open factor at present is the length of core to carry the exciting coils. This cannot be settled without calculation ; but a few trial-and-error determinations will show the minimum length required to carry the necessary turns of wire, allowing at the same time the proper area of surface for the watts spent. For bipolar single magnetic circuit machines 0-75 D, for double circuit 0'9 D, and for multipolar fields from 0-4 D to 0-5 D will be very nearly correct for all ordinary designs. And when the other quantities are properly balanced, the number of square inches in the surface of the winding, not including the ends, will be equal to about twice the number of watts wasted in heat ; or each watt of energy wasted in the magnet windings will be dissipated through a superficial area 32 ELECTRIC MOTIVE POWER. of two square inches. This is found to be sufficient in machines with windings not exceeding 2'5in. in depth ; but for large machines a greater margin is preferable if it can be obtained. A useful equation for determining the probable rise in tem- perature in degrees Fahrenheit is Rise of temp. Fahr. deg. = Here, the cooling surface does not include the ends of the shapes, but is expressed by the perimeter of the coils x their height. The permissible rise of temperature is generally about 60F. ; under these conditions the empirical equation allows a radiating surface of nearly 17 sq. in. per watt. This is suffi- cient for small coils with shallow winding ; but if the depth be more than 2 'Sin., the margin must be increased. (6) Poles and Polar Extensions. The next point to determine is the length of the polar cavity. This has already been referred to in 8, division (c), and the practical limits have been given. It may be further noted here that since the magnetic resistance is lowered by increasing the width of the polar cavity, it appears advisable to make the arc embraced as large as possible. But this is limited by the strength of the cross field, which is directly proportional to the extent of the pole pieces. With drum windings the lead of the brushes is comparatively little, as the field disturbance is small, and so the polar angle may be somewhat larger than is permissible if a gramme ring be used. A safe rule is to make the angle 135deg. for drums and 125deg. for Grammes; but both of these figures may require to be slightly modified by the peculiar conditions of the design.* In a well-proportioned dynamo, when the arma- ture is carrying the maximum circumflux for its diameter,! the brushes will require a lead just sufficient to bring them under the tips of the pole piece, so that the lead and the width of the polar cavity roughly depend on each other. The ratio of area of polar cavity to the cross-section of the magnet core is determined mainly by the induction B" g in the gap. It is not found economical to push the flux beyond B% = 33,000 ; and, there- fore, neglecting leakage, the ratio of area of core section to polar * See 8, division (e). t Sec equations (9) and (10), p. 22. LEAKAGE COEFFICIENT. 33 cavity will be, approximately, 1;2'75 if wrought iron be used, and 1 ; 1 6 for cast iron. But there is always a certain loss of magnetism from leakage, and it is necessary to allow for this in estimating the total field core flux. Calling the leakage co- efficient v, the relation between the field lines and the armature lines is expressed by N f = ^N a or v N g . The assumption that the armature induction is equal to the induction in the gap will not introduce a large error for ordinary designs, and it simplifies matters. The stray field is not constant for every type of magnet, but varies with the armature induction, increasing in value as B" a approaches its maximum. The practical values of v in the types of machines most in vogue are given in Table D. Table D. TABLE giving Approximate Values of v, the leakage coefficient ^ for various types of Field- Magnets. Type of Magnet. Open Circuit. Full Load. Single magnetic circuit, ) upright type,Figs. Iand2j v=r5 ^ = 1-32 Single magnetic circuit, in- } ' ver ted f orm,Figs. 3 and 3 A J v=l'31 ^=1-33 Double magnetic circuit,) Figs. 4, 5 and 6 J 0=1-4 1=142 Four-pole machines, Fig. 7 v = from 1*4 to 1'45 V! = from 1'42 to 1'47 Fig. 8 v = from 1'45 to 1'5 i^from 1'47 to 1'6 Armour-clad field, Fig. 9 v=l'2 ^=1-22 (c) The Yoke. The yoke is that part of the magnet which connects the cores. It is not usually covered with windings, and is made either in wrought or cast iron so as to suit the design. Generally cast iron is preferred, since the bed and yoke can, in many cases, be combined in the same pattern. If this device be adopted, as in Fig. 1, p. 23, care must be taken that the path through which the magnetic flux will principally nass is at least as wide as the area of cross-section of the 34 ELECTRIC MOTIVE POWER. cores, and usually it is found advisable to make it about 1'2 times larger, if the cores and yoke are of the same material. If the cores be made in wrought and the yoke in cast iron, the area of the cross-section at right angles to the lines of force should be about 1'6 to 2*0 times as great for the latter as for the former. Attention must be given to the joints between the cores and the yoke, that they be truly machined and be in close contact over the entire face. In machines of the double-magnet circuit type there is no yoke, since the pole pieces are connected directly to the magnet cores ; these joints must be carefully made. In some designs the polar cavity can be bored from the solid iron (see Figs. 2, 3, and 6) ; but in others it is necessary to attach extension pieces, so as to increase the polar cavity (see Figs. 1, 4, and 5). But the dimensions of the pole-pieces will in all cases be governed by the rules already given. 10. CALCULATION OF THE FIELD EXCITATION. (a) The following points have now been determined : The size of armature, the gauge of wire, and the number of turns for its winding ; the shape of field-magnets, and length of the winding space ; the bore of polar cavity and the width of the poles ; the magnetic flux, and the densities in armature, gap, field cores and yokes. The excitation necessary to give these fluxes and the corre- sponding winding have now to be calculated. The method adopted by the author does not take into direct consideration the permeability of the iron, this being understood in the proposed limiting values of B. It is based on curves (see Fig. 12) connecting induction per square inch of core with ampere-turns per linear inch of distance through which the induction has to be maintained. (The principle of these curves was first suggested by Drs. J.and E. Hopkinson in 188G.) The co- ordinates are the mean values of the ascending and descending curves of the magnetisation. The variation of induction due to hysteresis is most marked with cast iron, and is of little import- MAGNETIC INDUCTION CURVES. 35 ance with well annealed Swedish plates, such as are used for armature cores, especially if the induction be about B" = 100,000. Therefore in practice no trouble is caused by hysteresis other than the loss of energy due to the cyclic change of magnetism, which is rendered evident by a development of heat. The calculation for this is given in Table L and footnote on page 173. 1 4* H~ o rx ^ ^ ***~ ^ 1Z=* ,* , ^ ^ ^ ' ^^- - i ^*~ *m " ITT ^ s=: - ' i.^ ^T" "TT a^2 ' MMe= ^ ^^ ntz / x" 1 10 14-A f t " ***** .- 7\T ^ / / ^ ^^ ^****' ^^ 4\\r ^^ ^- -" M , *^ -^ V m HI / ^-- ^^ -^ / ^ ' . ^** r/U^ ^^ 50 100 150 200 250 300 350 400 450 500 550 600 650 700 750 800 850 Magnetising Force in Ampere-Turns per lineal inch. FIG. 12. Curves of Magnetic Induction in Iron and Air. Scale of Ampere-Turns lor Iron : One division =50 Ampere-Turns per inch. I. Annealed Swedish Charcoal Plates, as used for Armatures. II. Wrought Iron Forcings, as used for Field-Magnets. III. Cast Steel, as used for Field -Magnets. IV. Cast Iron, as used for Field-Magnets. V. Air To read Ampere-Turns multiply abscissa by 20. All the Headings have been determined iron* the Mean ot the Ascending and Descending Curves of Magnetisation. In Fig. 12, Curve I. refers to annealed charcoal iron plates, from 22 to 24 B.W.G. The data are taken from experiments made by Mr. George Halliday. 36 ELEGTEIC MOTIVE POWER. Curve II. relates to magnet iron, large scrap, hammered and allowed to cool slowly after forging. The values of the co-ordinates were originally taken from Drs. J. and E. Hopkin- sons' Paper on the characteristics of the dynamo ; but they have been altered to suit the samples of iron used by the author, most of which have been supplied from Yorkshire forges. Curve III. is taken from the recent experiments of Mr. Stein- metz with annealed cast steel, which is likely to be largely used for magnets. Curve IV. is for the class of grey cast-iron generally supplied in London for magnets. The samples which have recently come under the author's notice have perhaps a slightly higher permeability than that implied in this curve. However, it is best to be on the safe side with cast iron, as the cooling so largely affects the results, and with these values there will be no doubt about the output of the machine. Curve V. shows the number of ampere-turns required to send the induction through the gap. Its abscissae are cal- culated from the equation ATs 1 B ~ 0-31328 ' 8 where <5 = lin., and 0-31328 is a dimensional coefficient to con- vert the absolute measures into practical units. To use this curve find the ampere-turns corresponding to the density, and multiply by the length of the gap expressed in decimals of an inch. (b) Excitation for Open Circuit. The data must now fee collected in order to make the calculations for the number of ampere-turns. It is necessary to know for the armature : B" a = the induction per unit area. A a O'85= the area of cross section, less 15 per cent., which will be occupied by the insulating material between the plates. m & mean length of magnetic path in armature core. EXCITATION FOE OPEN CIRCUIT. 37 For the gap : B" g = the induction per unit area. 8 = length of the air gap on one side. A g = area of one of the polar cavities. For the field-magnets : B" f = the induction per unit area in the cores. B" fl the induction per unit area in the yoke. A f = area of core in square inches. A fl = area of yoke in square inches. m { = mean length of magnetic path in cores and pole-pieces. m n = mean length of magnetic path in yoke. Since the design is symmetrical about the perpendicular line a b (see Figs. 1 and 4), it is only necessary to measure the path of the lines of force around one-half of the circuit. The excitation thus determined refers to one limb only, and must be doubled to give the full number of ampere-turns. This method is usually adopted because it both saves time and gives smaller figures. The excitation for the several parts of the circuit is : Armature: ^a/(B" a ). Field cores : m f f(B" { ). Field yoke: n/(B" a ). Gap:- S/(B" g ). And, summing up- . . (12) (c) Excitation to be added at Full Load. In the preceding equation the demagnetising effect of the armature is neglected, and no allowance is made for the fall of pressure over the internal resistance of the armature and series coils. The demagnetising and cross-magnetising fields due to the armature have been already referred to, and it has been shown that these effects are most pronounced with the Gramme type of armature. The subject has been exhaustively treated during the past two years, and need not be discussed in detail here. Suffice it to say, that the band of conductors 38 ELECTEIC MOTIVE POWER. lying between the pole tips will, as a whole, tend to produce a field in the opposite direction to that due to the main excita- tion ; while the coils lying under the pole-pieces, i.e., in the polar cavity, will tend to cause a cross magnetism. The latter is not of serious importance if the pole-pieces be very thin near the centre, as at a and b in Figs. 4 and 6. If, however, the pole-pieces be very massive in the region of the centre line there will be a cross field, which will have a tendency to twist the main field by crowding out some of the forward induction. But this can be almost entirely obviated with the relative propor- tions and shapes of magnets given in 8. The demagnetising or back ampere-turns are of more im- portance, and must be allowed for by an equal forward induc- tion. The disturbance is, with Gramme rings, proportional to the armature current multiplied into the number of turns included in the angle of lead ; and this product must be multiplied by the coefficient of leakage between the field and armature at full load, since a certain quantity of the field induo tion is lost in space. Therefore the compensating turns are BTs = C a *>! = C a - L v, . (13) 360 180 where 6 = the angle of lead in degrees. With drum armatures the disturbance is about one-half as great, and so the compensating turns are To find the turns to compensate for the fall of potential, it is necessary to make two calculations for the ATs, see (12), one with no current flowing in the main circuit, and hence no arma- ture reactions, and one at full load. The former will determine the strength of the shunt coils if the machine be compound wound ; and the latter will give the shunt excitation plus extra turns to be added for the fall of potential due to the internal resistance. The total excitation is : ATs for open circuit + BTs for demagnetising effects + CTe for fall of potential. W. B. SAYEBS' COMMUTATOR COILS. 39 Practically, with large Gramme rings the two latter quan- tities will be about one-third of the first. If the machine be shunt wound the winding must be deter- mined for full load, and the BTs must be added before calcu- lating the gauge of wire. The same remark also applies to a series machine. A few trial windings will soon illustrate the point, and facility will come with experience. Mr. W. B. Sayers' device* for the " prevention and control of sparking " is likely to introduce important modifications in dynamo and motor design. It is well recognised that the limits of output of a given machine are determined simply by the heating and the sparking effects. The former is controlled by the current density, the eddies in the conductors, and hysteresis ; the latter depends mainly on the circumflux and the relative proportions of the machine, or, briefly, on the armature reactions. It is well known that a dynamo requires a forward lead and a motor a backward lead to prevent sparking, and it is also recognised that the amount of the lead is proportionate to the load. The effect of the angular displacement of the diameter of commutation is to cause the convolutions, included in the angle of lead to be traversed by currents in an opposite direction to the E.M.F. induced in them, and in a direction such as to tend to demagnetise the field-magnets. The demag- netising effect of this belt of back-ampere turns is merely an accidental condition, and is compensated for by extra excitation as already shown; but the reversed E.M.F. is an absolute necessity in order to check the self-induction of the current in the coils short-circuited beneath the brushes at the moment of current reversal. The explanation is simple. If the current in these coils is acted upon by an E.M.F. in the same direction as itself, or even if the coils are in a neutral field, it is clear that the current cannot be stopped and reversed without a self- induction spark ; but if the coils, at the moment of reversal, are in a magnetic field of such direction and intensity as to induce an E.M.F. just sufficient to counter-balance the self- induction of the current, then the reversal may be made without a spark, and the collection of the current will be * Proceedings of Institution of Electrical Engineers, Vol. XXII., Part 107. E2 40 ELEGTEIG MOTIVE POWER. sparkless. This apparently complicated action is easily accom- plished hi practice by simply giving the brushes sufficient lead ; and it is obvious that since the armature reactions are proportionate to the lead that the best designed machines will have the least lead. The converse of the problem is also suggested for consideration, for if a forward lead tends to demagnetise the field-magnets of a dynamo it may be reason- ably inferred that a backward lead would tend to strengthen them. This is found to be so in practice, and many attempts FIG. 12A. P, Trailing Horn of Pole-piece. B, Positive Brush, a, I, c, d, Commutator Coils to furnish the E.M.F. necessary for Sparkless Reversal. S, S, S, S, Segments of Commutator. The current in main coil C has to be reversed in passing under the brush ; this is effected by the E.M.F. in the coil b, which is actively cutting Magnetic Lines in the Dense Field under the Pole Horn, and hence can overcome the Self- Inductive E.M.F. of the current in C. P, the Axis of Poles, and N the Neutral Axis at right angles to P. The large arrow shows the direction of armature robation, and the small ones the direction of the E.M.F. acting in the several coils. The current is flowing round both sides of the armature to the positive brush, B. have been made to assist the field excitation by the armature reactions, but without success, until Mr. Sayers invented his Commutator Coils, as he calls them. Their application will be W. B. SAYE&S' COMMUTATOR COILS. 41 seen at once by reference to Fig. 12A, and a little study will make clear the theory of their action. In the diagram, which represents a Gramme ring dynamo, the commutator bars, S, are drawn, for convenience, outside the armature, the main windings are seen to be continuous, and each coil to be coupled to a segment of the commutator through a commutator coil, a, I, c, d, the order of connecting up being one main coil back- wards. It is of special importance to mark that these coils only carry current when touching the brushes, and then the whole armature current passes through them momentarily ; also the brush, B, is made sufficiently wide to always bridge over two segments. The direction of motion of the armature is clockwise, as indicated by the large arrow, the brush has, therefore, a backward lead, and the active commutator coil, b, is, practically, just beneath the edge of the trailing pole piece, while the main current in C is commutated at a diameter not far removed from a line at right angles to the axis of the pole pieces. In this position the field due to the armature magne- tism is partly added to that of the field-magnets, and sparking is prevented by the E.M.F. induced in the commutator coils, which are cutting lines of force in the dense magnetic field at the trailing horn of the pole piece. These effects will obviously increase in intensity as the brush is brought nearer to the pole piece. The importance of this device lies not so much in the application, just illustrated, as in the new line of investigation suggested by it. In the first place, it permits a much smaller air gap, and, therefore, less excitation in the field coils, which means smaller magnets ; secondly, since sparking can be obviated, or its magnitude restricted, a greater output may be expected from a given armature, heating being the only limiting condition. A host of applications at once present themselves for immediate consideration, amongst which may be instanced : /Series-wound motors for traction purposes, to which light compact machines are essential; and regulators, for compensating the fall of potential on feeders, which, carrying widely different loads, are always subject to sparking troubles (see 25, page 137). The winding details present some difficulties in practice, especially as regards insulation ; and generally the device 42 ELECTRIC MOTIVE POWER. lends itself most readily to slotted cores in which the main winding can be wound underneath and the commutator coils on the top, so as to be all but flush with the surface. In one form Mr. Sayers has used the commutator coils as keys to hold the main winding in position, as shown in Fig. 12B, which refers to a slotted drum. In drum windings the ends of the main windings are brought to the back end of the armature away from the commutator, and the commutator coils are simply lengths of wire sufficiently long to couple up to the bars. In Gramme rings the commutator coils are wound in a FIG. 12B. Sayers' Winding as applied to Drums. a, Commutator Coils, c, Main Coils. plane at right angles to the main coils, and may therefore lie on the outside of the armature. Various methods of carrying out the device will suggest themselves to different designers, but it is too soon to predict the probable results. MOTOIi DESIGN. 43 11. SPECIAL POINTS TO BE OBSERVED IN DESIGNING MOTORS. So far the author has considered the design of either dynamo or motor simply from the point of view of the total E.M.F. of the armature, and has given no special attention to the torque. But it was mentioned in 2 that in designing motors it was essential to give due weight to both the maximum and average couples likely to obtain. The importance of this will be best seen from an inspection of the equation for the torque in terms of the armature constants : Torque = T = Ga * aNa , .... (15) /c or the torque is directly proportional to the product of the number of turns of wire, the magnetic flux, and the arma- ture current; k being simply a dimensional coefficient. The numerical value of fr is 852'3 x 10, if T be in pound feet, so that, adopting the practical unit, Now, in all ordinary motors the number of turns of wire in the armature, C a , is constant, and only the current 4, and the magnetic flux N a vary. There are two simple cases for con- sideration in practice. First, when both i & and N a vary. This occurs with a series-wound motor, and it should be noticed that a relatively small increment of current may cause a con- siderable increase in the value of the torque, for the magnetism will be greatly varied at the straight part of the characteristic with low values of B, and therefore N a will at this point increase much more rapidly than i A ; whilst after the knee of the curve is passed the rate of increase of N a for increments of * a will slowly decrease, until a point is reached where the torque varies simply as the current. The second case is where N a is constant, and i A alone varies. This condition is given with a shunt-wound motor, if it be as- sumed that the armature reactions are negligible. The torque, therefore, will simply vary as the armature current ; it will be a minimum with small loads, but will finally attain the same 44 ELECTRIC MOTIVE POWER. maximum value as it would if the motor were series wound. Both of these windings give special advantages to a motor, and hence they are severally selected for particular work. The compound-wound motor is a combination of the two methods, and has not met with much favour as yet. The uses of the three types of winding are more fully discussed in 14. It remains now to investigate the best lines upon which to build armatures for special turning moments. If the desired brake horse-power and the speed of the motor be known, the work per revolution and the torque can be easily determined. The work per revolution in foot pounds B.H.P. 33000 , = -footpounds. , . (17) n and the torque T^= RH R 3300 pound feet, . . . (18) 2 TT n where n = revolutions per minute. It should be noticed that T is independent of the diameter of the armature. The peripheral pull exerted by the armature _ RHJ>.SSOOO 1 l pounds 2 TT n g where g = the radius of the armature in feet. This force will act tangentially on the winding, practically at two parts diametrically opposite each other, and just under- neath the leading horns of the pole-pieces. If the value repre- sented by B.H.P. be the average load, we can thus determine the average strain on the wire ; and if it equal the maximum output the maximum running torque is known. But suppose the current to fluctuate largely, and at times to exceed that corresponding to the maximum output at starting, for example, the momentary rush of current may easily be twice or even three times as great. Then, from what has been EXAMPLE OF DYNAMO AND MOTOR DESIGN. 45 said, it is clear that the torque will be increased also, and it may be so sufficiently to endanger the stability of the winding, or even to bend the shaft. Therefore, in motors it is usual to allow a very large factor of safety by supporting the winding with specially-devised driving horns, and by the use of much stiffer shafts than are necessary for dynamos of the same average output. In designing motors, then, it is advisable first to examine the limits of the turning couple, and then* to take precautions to ensure sufficient mechanical strength. For tramcar and coal-cutting motors it is usual to provide shafts from 2in. to Sin. in diameter for outputs of from 15 to 20 H.P. 15. PRACTICAL EXAMPLE OF PRECEDING METHOD OF DESIGN. The application of the principles of dynamo and motor design, described in the preceding sections, is fairly illustrative of the ordinary methods followed in most drawing offices, but the details are varied to suit the fancy or necessities of each engineer. The design has been treated in a general way, so as to include as many cases as possible, and hence appears to be complicated. In practice, however, owing to fixed types of field magnets, definite sizes of armature plates, and data from machines already built, it is very simple. A machine can be designed for a given output at the required speed in a very short time ; indeed, nearly all of the calculations will be in simple pro- portions that can be seen at a glance on a slide rule. However, to illustrate the use of the equations, the following calculations for a 25-unit dynamo and a 25'5-B.H.P. motor are appended. It is assumed that the problem is to build a pair of machines to transmit 25'5 B.H.P. a distance of one mile from the dynamo. Since there is only one motor, the series winding will be most suitable for both machines,* this arrangement giving fairly good *. See Chap. IV., 23. 46 ELECTRIC MOTIVE POWER. speed regulation of the motor for variable load if the generator speed be kept constant. The efficiency of the motor may be safely taken at 90 per cent., and, therefore, the watts absorbed by it at full load will be OFJ.K 1^1 = 28-32 EH.P. 0-9 If the line loss be fixed at 5 E.H.P., the output of the dynamo will be 33-32 E.H.P. = 24,857 watts. On referring to Fig. 13, which gives the volts and horse-power lost per mile of cable, with different currents and areas, it is seen that a wire of sectional area corresponding to No. 6 S.W.G. will carry 35'75 amperes with a drop of 52 volts and a loss of 2'5 E.H.P. per mile. This is a convenient size of wire,* as small as it is prac- tically safe to erect for a permanent line and is not too costly ; it weighs 5891b. per mile, and has a resistance of 1'4694 ohms for the same length. The two miles of line wire will therefore have a resistance of nearly 3 ohms and the fall of potential will be 104 volts, and the watts lost in it 3,720. Dividing the dynamo output by the current (35 -75 amperes), the potential difference is seen to be approximately 695 volts. Since the pressure is high the armature winding will be of the Gramme type, and the double magnetic circuit two-pole field (Fig. 4) will be selected for both machines. The armatures will be made interchangeable in order that one " spare " may cover the two machines ; and the field carcases will also be identical save in respect of the number of ampere-turns, and perhaps the area of the magnet cores. Determination of Armature Dimensions : From ZD 2 7*0-01 (1) 15 x!5 2 x 800x0-01 = 27,000, where 1=15, D = 15, w = 800. This will give a safe margin in output. Now, E = c + t ft (r. + rj (5) and, also E = 695 + (0-06 x 695) = 736. . From Table A. (Take one and a-half times the percentage, since the field resistance must be included.) * The economic area is purposely neglected in this case, as the subject has not yet been referred to in the present work. CURVES OF DROP OF PRESSURE. 47 6 7 H.P. LOST PER MILE. 600 476 460 10 CO 30 40 60 60 70 80 90 100 FIG. 13. Curves showing Volts lost per Mile and per 100 Yards with different Currents and usual Sizes of Cable. Calculated from the formula E = (0'0427/area) C. Ako H.P. lost per Mile. 48 ELECTRIC MOTIVE POWER. N a = B" a 2 rJO-85 ........... (7) (See Table B.) 1=15, let r = 2-5, and B' a = 110,000. .'. N a = 110,000 x 5 x 15 x 0-85 = 7-0 x 10 6 . Put this trial value of N a in (8) 6C 736 x 60 7-0 x!0x 800x10^ C = a The circumference of armature = ird = 47", deduct a space of 2" for the driving horns, leaving 45" for the winding. No, 11 S.W.G. will carry 17 875 amperes at a density of 1,800 amperes per square inch : it is O 1 11 6" in diameter when bare, and with 16 mils of insulation = 0-1 32". Therefore, with No. 11 wire 45 the turns per layer will be - - = 340. Two layers will = 680 turns, i e., say 68 coils of 10 turns each. The resistance when cold will be about 0'37, and when hot about 0'4 ohm. Ampere-turns per coil = 10 x 17-875 = 179 say Permissible circumflux = D 1000^=15,000 ... (9) A J - *a C a 3575x680 -.ooAH Arranged crrcumflux = - * = -- = 12,200. Two layers of this wire give fewer turns than the value of C a determined from (8\ and three layers give too many, besides increasing the air gap unduly and raising the circumflux above the safe limits given by (9). This is a common case in practice ; the remedy is to raise the speed, or to increase the armature induction : or to do both, 780 making n = 800 x _ = 920, say ; 680 or, making N a = 7'0 x 10 6 x = 8'00 x 10 6 ; 680 or, by varying both n and N a . To illustrate these points the combined method is chosen. Since B" a is already 110,000, in order to increase N a it is necessary to make the cross section of the armature larger, and to alter the radial depth of core, r, from 2 -5" to, say, 2-75". Therefore 2lr will = 82-5 sq. in., and the effective armature section will be 82'5 x 0'85 = 70 sq. in. EXAMPLES OF DYNAMO AND MOTOR DESLGN. 49 The new value of N a is therefore 7-Oxl0 6 x^I5 = 7-7xl0 6 . 2-5 The speed must be raised to give the required conditions. Substitute these new values in (8), and solve for n E 60 736 x 60 n C a N a 10- 680 x 7 -7 x lO" 2 = 835. Fia. 14. Cross Section of Dynamo, showing Method of Design. The bore of the poles must next be determined. Allowing for two layers of No. 11 S.W.G., suitable insulation, bands, and clearance of, say, 0-0937 (3/32") of an inch all round, the required bore is 15-75, and .*. 8 = 0-375. And let the angular width of the pole pieces be 120 at the edges, and 125 in the centre ; i.e., let the " horns" be curved in a direction parallel to the winding (see Fig. 14). This tends to destroy the abruptness of the magnetic flux, and to distribute it more gradually on the 50 ELECTRIC MOTIVE POWER. leading horns. The average width of the pole pieces, w, is 122-5, or, say, 17". The length of the poles should be a little less than that of the armature core, say, in this case, 14 -5 ; therefore the area of each cavity is 17 x 14'5 = 247 sq. in., and B" g , the density in the gaps, is found by dividing N a by 247, or, 7 ' 7xlQb = 31,000. 247 This is a convenient density. Next, to determine the field induction : N f = ^ N a = l-42x7-7xlO G . (^ = 1-42) = 10-95 xlO 6 , and half of this flux, 5 -47 5 x 10, must be supplied by each limb of the magnet. Let the cores be wrought iron, and B" f = 85,000 say, and 5*475 x 10 fi the area of each core = _ =65 sq. in. nearly. Now the length of the pole pieces has been fixed at 14'5"; let the magnet cores be the same, then the width of each core is 65 . - = 4'5 . 14-5 The dimensions of the machine are now sufficiently deve- loped to enable a drawing to be made showing a cross-section of the field and armature cores ; let this be to, say, an inch and a-half scale, as in Fig. 14. The length of the magnetic paths can be estimated, and the field winding calculations made. m t = 23"; m tl = 16"; w a = 7"; A a = 2 lrO'S5 = 70; A f = 14-5 x 4-5 = 65-0; A fl = 110; B" a = 110,000; B" f = 85,000; B" n = 50,000; and B" g == 31,000. The path of the induction in the armature can only be averaged, since the density is not constant (see Fig. 14A, which has been drawn specially to show the probable distribution of the lines of force). It is noticeable that the maximum induction RULES FOR FIELD-MAGNET EXCITATION. 51 only takes place in the areas bounded by the lines a a v and b b r Averaging the path to the density chosen, B" a = 110,000, it is seen that the mean distance between the pole tips is a fair approximation to the value of m & * FIG. 14A. The excitation per limb for full load is from (12) ATs for armature = wi a /(B" a ) = 7x 280 = 1,960 cores = m f /(B" f ) = 23 x 77 = 1,771 pole pieces = m fl /(B" n ) = 16 x 130 = 2,080 gap = 2 S/(B" g ) = 0-75x9,750 = 7,300 13,111 The various " functions " for the determined values of the inductions are read direct from the proper curves in Fig. 12 (p. 35). Let the value of the ampere-turns be taken at 13,100. To find the back ampere-turns : Let the maximum angular lead be 27, i.e., nearly to the tip of the leading " horn." Then, by (13), the back turns are a1( = 680 x x 35-75x1 -42, = 5, 1 50 nearly. (For value of " vf see Table D, p. 33.) * It is also interesting to mark how the direction of the lines is altered after leaving iron and entering air. This is to be expected from the very different permeabilities of the two media, a subject which is engaging the attention of experts. 52 ELECTRIC MOTIVE POWER. And 2,575 ampere-tarns must be added to the excitation of each limb, since (13) estimates the total demagnetising effect. Therefore the total excitation per limb is ATs + BTs = 13,100 + 2,575 = 15,675. With a series machine no calculation can be made for " open circuit," since it will not excite unless the main circuit be closed. If the dynamo be compound wound, this calculation is necessary in order to determine the shunt winding ; and for a simple shunt machine it is usually sufficient to determine the excitation at full load only. It now remains to find the gauge of wire for the field wind- ings. This can be done in several ways, according to the result aimed at. In a series machine* the current is fixed, and thus the gauge of wire is given by the heating effect, see 9 (a) ; and the number of turns must be selected .to give the proper excitation. In the design under consideration the convolu- tions required = 15675 = 440 per limb, 37-75 * If the field coils were in shunt, then the potential difference would be fixed, and the current and turns be variable, the efficiency increasing with the number of turns for a given value of the excitation. Now there is one gauge of wire, and one only, which will give a particular excitation, for the given section of core, at a fixed potential difference. This wire being used, the number of convolutions affects the efficiency and not the value of the excitation. Therefore, it is necessary to find the proper area of cross section of wire, and usually as it is not a stock size the next size larger is chosen. This increases the number of ampere-turns ; but an external resistance is easily put in series with the coils, and hence the potential difference can be adjusted for any required excitation. The method followed is to first find the length of a mean turn of the coil, say it = / 1 inches ; then, the resistance of a mean turn I = l ATs' where e x = the potential difference available ; and the gauge of wire can be found by reference to a table of wire resistances. RULES FOR FIELD-MAGNET EXCITATION. 53 and No. 5 B.W.G. will carry 38 amperes at a density of 1,000 per square inch of section ; and this will give an ample margin. The resistance when hot is 440 x L x 0-00064 440 x 34 x 0-00064 n - 1 - = - Q - = 0-258 ohm, 36 36 where l^ = length of a mean turn in inches, and 0'00064 = resistance of one yard of the wire. The winding space is 14in. long; allowing 0'75in. for the two flanges of the " shape," and for insulation, there is left a net length of 13'25in. Now 4-25 turns of No. 5 B.W.G. (with 16 mil insulation) will occupy lin., and so the convolu- tions per layer will be 56. The turns per coil are 440 ; hence, 8 layers are required. The depth of the winding is approxi- mately 2 in. The resistance of the two coils is about 0*516 ohm, and the total resistance of the dynamo 0*916 ohm. The pressure lost over this is 35-75 x 0-916 = 33 volts nearly. Now, in fixing the value of E, a fall of 6 per cent., or 41 volts, was allowed. The winding is thus within the required conditions. If desirable, the value for the total E.M.F. can now be readjusted and the calculations amended accordingly. Practically, however, it is sufficient to decrease the speed in the ratio of _ = _ = 695 + 40 735 and speed = 835 x 0-99 = 830 revolutions per minute. The design of the dynamo is now complete. That of the motor is substantially the same ; but special care must be given to the driving horns and general details of the armature. The speed of the motor is proportional to the counter E.M.F., i.e., to 54 ELECTRIC MOTIVE POWER. and the torque is Now gj, the volts at motor terminals, =e 104 = 591 volts. t a =3575. r a =0-4. and let r m =0*3, say (trial value with six layers on field cores, C =680 turns in all). And n and N a are the two unknown variables. If there be any particular speed, then n is also fixed. Let 720 be the required number of revolutions per minute, then n = 720, and the torque is given by (18) 25-5 x 33.000 ^gy^ft 2?r720 The peripheral pull on the armature at full working load is given by (19), and -B.H.P. 33.000. l_ 9pnb , 2irn g where g = radius of armature in feet, =0'G25. The maximum stress at starting may possibly be twice as great, or even more, so it is necessary to allow for a pull of, say, from 800 Ibs. to 1000 Ibs. Equating to (16), the value of the torque found from (18), and taking out N a , the required value of the armature induction* is found, thus 1 87 x 852-3 xlO 6 680 x 35-75 = 6-55xl0 6 , * The value of N a cannot be determined frpm equation (6) with sufficient accuracy, as the exact value of the counter E.M.F. is not known until the field- winding is settled and its exact resistance, r m , arrived at. and, DESIGN OF MOTOR. 55 R ,, 6-55 xlO 6 Q - 7ft D a = - - = yj,570, N, =1-4N. =9-17xlO, 4-585 x 10. B ,, The excitation is by (12) : ATs for armature = w a /(B" a )= 7 x 53 =371 cores = *f/(B" f ) = 23x35 = 805 pole pieces = ??i fl /(B" fl ) = 16x66 =1,056 gap = 25y(B" g ) = 0-75x8,280 = 6,210 8,442 The back ampere-turns* are practically the same as with the dynamo, and, therefore, the full excitation per limb is ATs + BTs = 8,442 + 2,575 = 11,017. Dividing this by the number of amperes, the number of turns per coil is 310, or six layers, as was assumed in the approximation. This finishes the calculation for the motor. The figures have been estimated by means of a slide rule, and so are not always quite exact ; but they illustrate the use of the equations, and show the general method of designing dynamos and motors. It is interesting to notice that the motor is rather large for the output, and that the inductions in the field cores and gap are consequently much less than those required in the dynamo. This can be obviated to some extent in practice, by reducing the section of the motor cores, making them, say, 4in., instead of 4-5in., in depth. Such alterations will readily suggest them- selves. * Probably the lead at full load will be from 5deg. to lOdeg. less than that required with the dynamo. If this be so, the extra turns will be correspondingly less. F2 56 ELECTRIC MOTIVE POWER. 13. TABULATED FORM FOR USE IN DESIGNING DYNAMOS AND MOTORS. In practice, the difficulties attending the designing of machines are very much lessened if the constants and variables are classified under their proper heads and in the order in which they come under the notice of the designer. The author has found the following tables of great utility; they can, of course, be modified to suit special requirements. One of the great advantages possessed by such a regular system is that the details of different machines can be readily compared, and hence fresh designs can be got out with the minimum of trouble and figuring. To derive the greatest possible benefit from this arrangement the printed sheets should be bound together into a volume of suitable size, with an index. Table E. DYNAMO OR MOTOE. Pules. Output K.W. I Volts Magnetic Circuits I Kevs. per min. Type Amps Length in. Diameter in. Dimensions over iron .... in. x in. Effective area (. .a&. 0-85) . . . .sq. in. Size of hole in. No. of coils , TT d in. No. of convolutions per coil. . . C a . . Area of bare wire : in.x in.=: sq. in. Dimensions over insulation : ..in.x in. AEMATUEE. Weight of copper .Ibs. Weight of iron Ibs. Current density per eq. in. Length of mean turn ft. Eesistance of copper (hot) from brush to brush ohms Bore in. Circumflux Permissible ditto COMMUTATOE. Over- all dimensions I Metal No. of segments Size of ditto . Insulation, mica in thick TABLE FOR DYNAMO AND MOTOR DESIGN. 57 COKES Iron. YOKK Iron. FIELD MAGNETS. Area sq. in. Weight Ibs. Area sq. in. Weight Ibs. AREA OF POL AR CAVITY sq. in. Arc of poles cleg. LENGTHS OF MAGNETIC PATHS, TAKEN AS FOLLOWS : LEAKAGE COEFFICIENT, open cii E a = .-. N a OPEN CIRCUIT EXC .. ..=C a N tt 10- , B" a , ITATION PER COIL. cap . B" K . N f = V Na field -{ B E a i FULL LOAD EXCITATION PER COIL. .'.B" a N f =r x N a d// D f Rap . . B"fi ,, field -! wt a a Total . . .... 'Turns per coil to compensate for fall of pressure over internal resistance = CTs = minus . . . . = . . Total back ampere- turns = BTs = C a *a ^10/360 = {/a = armature current) (6 = , and is the angle of lead in degree ? ; take 2 for Grammes) .Total excitation per coil: ATs + CTs + BTs . . (11 = number of coils) SHUNT COIL WINDING. Mean turn . . feet Res. (Hot) mean turn ohms. Res. (Cold) mean turn ( hms. Gauge of wire S.W.G. Shunt current Convolutions . layers of turns each. Depth inches. Weight per coil Ibs. Total weight Ibs. Res. per coil ohms. Total resistance . , , ohms. 58 ELECTRIC MOTIVE POWEE. MAIN COIL WINDING. How wound Area of bare wire in. x in. = sq. in. Dimensions over insulation in. x in. Convolutions Weight per coil Ibs. Total weight Ibs. Resistance per coil oams. Total resistance ohms. HEAT WASTE IN COPPER, Watts in armature , . ,, shunt coils main coils .Total watts Pressure lost over internal resistance volts Electrical Efficiency % PROBABLE EISE OF TEMPERATURE. FIELD : area of surface of each coil sq. in. BHaottemp.-"* 100 - V Surface ARMATURE : area of surface sq. in. (3,000ft P er| Riseof Watts 64 = FO mia.) / Surface These Tables show at a glance the most important details of continuous-current dynamos or motors, and can be easily adapted for alternate-current machines. They should be used in conjunction with cross-sectional diagrams, similar to that shown in Fig. 14, page 49. Special requirements for indi- vidual designers can be incorporated without difficulty, and small modifications will readily suggest themselves. PROPERTIES OF THE VARIOUS WINDINGS. 59 14. SERIES, SHUNT, COMPOUND, AND SEPARATE EXCITATION. It is of the utmost importance to appreciate fully the differ- ences between the various methods of exciting the field-mag- nets, as all are not equally well adapted for all kinds of work,, some being specially suitable for one class, and worse than useless for others. It is probable that the connections of the- several windings are well known to most readers ; yet it will serve to fix ideas and to give a firm grip of the various pur- poses to which each type of machine may be most profitably applied if the following sets of diagrams are carefully examined* In each set the first figure shows simply the diagram of con- nections, irrespective of the arrangement and number of the field coils and poles. The second figure refers to a dynamo wound as indicated in the first figure, and shows the order of the curve connecting the terminal, or omnibus bar pressure, with the main current. The third figure refers to a motor wound in the same style, and indicates roughly the shape of the curve connecting the number of revolutions per minute with the main or armature current. In each case the dynamo speed is assumed to be constant, and so also is the pressure at which current is supplied to the motor except in the case of series winding* These conditions are usually essential, and are conformed to, as nearly as possible, in all central stations. The diagrams are so explicit as to need little comment, but a few suggestions may be useful. The pressure in series- wound dynamos varies with the current, and these machines are chiefly suitable for working on a fairly constant resist- ance, such as a definite number of arc lamps or a fixed number of incandescent ones ; they are more especially adapted for the former work. They present one very ap- parent advantage in the fact that, since the main current passes through the field winding, the number of turns of 60 CURVES OF SEBIES-WOUND MACHINES. u oc / MAIN CURRENT 15c. Mechanical Characteristic Curve of Series Motor. Ab cissrc Proportional to Torque. b CO (0 Ul C 5 / CL H z ^ SUPP / I- (0 z o u. o / / o __ ^^ 3 O O O c 1 8 S S 2 NIIAI ^> => I i o O fn<:^t;n Pnv-tro /-.f Slmnf Dynamo. Motor. Abscissa) propot tional to Torque. 5 w CO Ul x Q. H Z Q. 0. 3 (0 ONST/ u o O ? 3 />>* CO OJ "NIW 3d '9A3H c S s 3 3 S CVJ /^~ > x^ / \ I/ \ \ \ / \ _J \ !< " CO CM SJ.1OA NI 3nsS3Ud bva sneiNwo 62 ELECTEIC MOTIVE POWER. wire on the magnets is comparatively small, and the wire is- large, and therefore strong. High insulation resistance is thus easily obtained without mechanical difficulty or the use of costly material. For power purposes this winding possesses special value. Consider Fig. 15c, which refers to a series motor running at constant pressure. It will be seen that as the current in the motor is increased the speed decreases ; and, since the torque is proportional to a function of the current, it follows that the torque varies inversely with the speed. Now, look at the series dynamo curve, Fig. 15B. The pressure increases with the current, which is exactly the condition of supply to make the series motor run at a uniform rate of speed. Therefore, if a series-wound dynamo be coupled to a series-wound motor, and be driven at a constant speed, it will supply current at a pressure varying directly as the current, and the motor will tend to run at a constant speed. This is such an important problem in the electric transmission of power that it is referred to again,* and the conditions for success are examined more closely. Series motors are suitable for a variety of purposes, and are generally used where a large torque is required at starting and a fairly constant load obtains afterwards. When run off constant-pressure circuits, they are regulated by a variable resistance placed in series with them, which may be altered by hand as occasion requires. The feature of a series motor to be specially remembered is that the torque is greatest at starting, when the current is a maximum : this is so because the main current passing through both field and armature coils then magnetises them to the greatest possible degree. Shunt-wound dynamos give variable current at fairly con- stant pressure. They are, therefore, suitable for running loads, such as banks of lamps, which require varying power ; and also for running series-wound motors with constant loads, or shunt- wound motors with varying loads. This is seen to be the case by * See 23, especially pages 121 and 122. CURVES OF SHUNT-WOUND MACHINES. 63 comparing the shunt motor mechanical curve (Fig. 16c) with the shunt dynamo curve (Fig. 16B). The shunt motor when supplied at constant pressure maintains a fairly uniform rate of rotation with varying load : the shunt dynamo approximately conforms to the supply conditions. The shunt motor is not so well adapted for starting against a heavy torque as the series motor. For the shunt field excitation cannot exceed that determined by the supply pressure ; and a sudden rush of current through the armature at starting tends to weaken the field magnetism unless the brushes have a forward lead, when there will be considerable sparking. When starting a shunt motor the field circuit should be first closed, and time be allowed for the magnets to become fully excited before the armature circuit is closed. A starting resistance is always used in the arma- ture circuit of these motors. After the armature has com- menced to revolve the resistance may be gradually cut out and the speed raised to its normal value. The feature of a shunt motor to be specially recollected is that it will run at nearly constant speed, with varying load, when supplied with current at constant pressure. This is the supply condition of nearly all central power stations, and hence shunt motors have a special field in this connection. As will be gathered from Fig. 17 A, compound winding i& a combination of the shunt and series methods of excita- tion. The shunt coils may be coupled across the brushes in " short shunt," or across the mains in " long shunt " as in Fig. 17A. The theory is as follows : The shunt coils give an excitation proportional to the terminal pressure, and the series coils an excitation varying with the armature or the main current, according as the long or short shunt is adopted. It is evident that, by suitably proportioning the two windings, the external characteristic, Fig. 17B, can be made to slope at any angle to the current line ; or briefly, the pressure may be made to increase with the current, and by compensating for the fall in the feeders, maintain a constant pressure at the centre of distribution. The chief difficulty with high-pressure compound dynamos is the 64 CURVES OF COMPOUND-WOUND MACHINES. / UJ ARMATURE CURRENT G. 17c. Mechanical Characteristic Curve of Com pound Motor. Abscissa) proportional to Torque. (O u cc UJ /I S (O t/3 U cc lj Q_ to 1 / * a. h- z Q. CO i (0 /I ONST/ u. / o 3 O O O O O C ^ j "5 * co eu NIIAI W3d 'SA3d 10 20 30 40 50 60 7 MAIN CURRENT G. 173. Extrrnal Cliaract eristic Curve of Over Compounded Dynamo. 300 o o c 000 CO CM SIIOA NI ava snaiwwo ^ PROPERTIES OF COMPOUND-WOUND MACHINES. 65 shunt windings, which consist necessarily of many turns of fine wire, and give trouble from a variety of causes, besides being costly. The mechanical characteristic of the compound-wound motor is shown in Fig. 17c. It will be seen that there are two methods- of coupling up the coils, as illustrated in curves 1 and 2. In the top curve the shunt and series excitations are differential,, i.e., the series coils demagnetise the field-magnets ; in the lower curve they are cumulative, and both act in the same direction. The differential coupling is theoretically the better arrange- ment, and gives a more constant speed than even a shunt motor, as is apparent from equation (6)*E m = C a N a 10 ~ 8 ,, 60 where E m is the motor armature counter-electromotive force, C a the number of armature conductors, N a the lines of force,, and n the revolutions per minute. Since C a is constant, and N a may also be regarded as such when a constant pressure acts on the shunt coils, it is clear that the speed, n t varies directly as the counter electromotive force, E m . And the armature reactions do not affect the problem if we assume the armature- current to have no effect on the value of N a . Now, E m = e-*> a , where r a is the armature resistance, and ^' a the current in the- armature, and e the pressure of supply which is assumed to be constant. It is clear that E ra varies inversely with i v and, therefore, the shunt motor tends to slow as the current increases (for the speed is proportional to E m ). Referring again to equation (6), it is seen that to prevent this falling off in speed it is necessary to decrease the lines of force,, N a , in the same proportion as the fall of counter-electro- motive force. This is most readily accomplished by decreasing the excitation, either by intercalating resistance in series with the shunt circuit, or by adding compound series coils wound in an inverse sense to the shunt turns. It should be noticed that the armature reactions always weaken the main magnetic field, and therefore tend to make a shunt-motor run at a. constant speed. It is thus possible to obtain nearly a straight line speed regulation with a well-designed shunt motor. It is- * >SVe page 18. 36 ELECTRIC MOTIVE POWER. also evident that a motor armature should have a very low internal resistance, the lower the better. The cumulative method of winding is more frequently used than the differential, for although it obviously does not regulate so well as a simple shunt motor, yet it combines to some extent the starting power of the series winding with the speed regulation of the shunt. Sometimes a few series turns are wound on large shunt motors, and are used only at starting, being short-circuited as soon as the armature is fairly under weigh. Broadly speaking, differentially-wound compound motors do not seem to be a success, and, except for the few cases where absolute regularity of speed is required, they certainly have not found favour. One great objection to them is a liability to start in the wrong direction owing to the reversed series winding. This difficulty is met to some extent by short- circuiting the series coils at starting. Cumulative compound motors have also a very limited field of usefulness, well-designed *hunt machines being more efficient, and giving better speed regulation. Yet there are some few applications where this winding will meet the conditions better than any other. The feature of compound winding to be specially noted is that, by applying it to the generator, the pressure at a distant point can be maintained (within limits) automatically constant with varying current. The idea of separate excitation is so easily grasped that there is no need to do more than refer to Fig. 1 SA, which is a diagram of the connections, the top scrolls representing the field-magnet coils. It is obvious that the number of turns on the field-magnets and the gauge of wire can be varied to suit the exciting current so long as the necessary ampere-turns are pro- Tided. In Fig. 18s the external characteristic of a separately- excited dynamo is shown at curve 3. It will be noticed that the pressure falls as the output is increased, owing to the volts lost over the internal resistance of the armature. To obviate this the excitation must be proportionately augmented, so as to give urve 2. And if it be desired to compensate for the fall of CURVES OF SEPARATELY-EXCITED MACHINES. 67 8 'SA3H *., -2 a 'a .55 S110A Nl 3tiHSS3b!d dV9 SHQINWO -2 j? 68 ELECTRIC MOTIVE POWER. pressure in feeders, then the exciting current must be still further increased until the slope of curve 1 suits the required conditions. The regulation can be accomplished automatically by some mechanical device controlled electrically ; but it is- usual in central stations, where this type of machine is most frequently used, to alter the excitation by hand. The separately excited motor is not yet much in use, but it will steadily grow in favour as transmission of power by elec- tricity becomes more general. The mechanical characteristic of this type of motor, supplied at constant pressure, is shown in Fig. ISc. The fall of speed with increase of load can be com- pensated by decreasing the excitation either by hand regulation or reversed series coils. These motors are specially adapted for large powers, because, since the main current only passes through the armature, a high pressure can be safely used ; and moreover, the speed regulation is much superior to that obtainable with the series-winding. The objection is the independent source of power for the exciting current, which will probably have to- be supplied in most cases from accumulators. Yet it must be recollected that a small shunt-dynamo, driven by the large motor, will not only charge the cells, but also excite the motor field-magnets after the proper speed is once attained ; and, further, this dynamo is available for lighting during the period the motor is at work. The advantages of separate excitation are : firstly, the dynamo fields can be excited at a low-pressure, and hence are free from insulation troubles ; secondly, lightning discharges are less likely to affect the magnet coils, since they are not connected with the line circuit (unless reversed series coils be used) ; and, thirdly, the pressure at any distant point can be easily varied at will. With motors a high-pressure service is permissible, and the speed can be regulated either by the dynamo or motor exciting current. CHAPTER III. THE LINE AND THE DISTRIBUTING MAINS. 15. Definition of the " Line." 16. The Theoretical Considerations affecting the Loss in the Conductor. 17. The Conductor in Practice: Aerial Lines. 18. Insulated Cables. 19. Insulators and Details of Aerial Lines. 20. Underground Lines ; Conduits ; Built-in and Drawing-in Systems. 21. Lightning Discharges ; Lightning Con- ductors ; and Lightning Arresters. 15. DEFINITION OF THE " LINE." BY the "line" is here understood not only the conductor, but also the posts or culverts, insulators and protective devices. Treated in this way, the subject may be regarded from two distinct points of view : one relating only to the method of erecting and protecting the conductor, and the other having reference to the kind of material, to the area of cross section of the wire, and to the conditions which limit the distance through which a definite quantity of power can be profitably transmitted. Practice usually precedes theory, and the first attempts at electrical transmission of power were made without any definite conception of the governing laws. An ordinary galvanised iron telegraph wire was the handiest conductor when Marcel Deprez made his memorable experiments between Munich and Miesbach in 1882. And even to-day considerations of convenience or necessity often invite, or compel, the use of material which is not exactly what would be chosen if the engineer had a free choice, and cost were no object. It will be more in keeping with the fitness of things, how- ever, if the theoretical conditions are first discussed. 70 ELECTRIC MOTIVE POWER. 16. THE THEORETICAL CONSIDERATIONS AFFECT- ING THE LOSS IN THE CONDUCTOR. The two conditions absolutely essential in the line circuit are continuity and insulation, i.e., the line must consist of a conducting substance or several conducting materials carefully joined together, and must be so arranged that at least one of the circuits between the dynamo and motor is insulated. The earth, under certain conditions, may be used as part of the circuit if sufficiently good " earth-plates " are provided at each end of the metallic conductor. This is the case with sub- marine cables and land telegraphs, and is oftentimes so with telephone circuits. An "earth return," as it is generally called, presents serious objections with relatively large currents at high pressures ; and hence, with but few exceptions, existing power plants are designed with insulated return circuits. A compromise between the two methods is found in a continuous metallic uninsulated "return," as used with electric street railways, in which the metals are coupled by copper connections, and so form a continuous conductor. In this case, the action of the current is not confined to the iron rails, but considerably affects the adjacent earth ; so that telegraph and telephone lines, using the " earth " in the immediate neighbourhood, may suffer con- siderable disturbance. A purely practical objection to the use of the earth as part of the circuit, or to an uninsulated wire for any portion of the line, is that the leakage may be largely increased and the difficulties of handling the line and plant intensified. Street railway practice has hitherto been limited to a maximum pressure of 500 volts, and it is probable that 300 volts will be more generally used in the future. At any rate, in Great Britain the Board of Trade regulations restrict the pressure to this limit. In mining work the author has selected 500 volts as the most convenient pressure for general purposes, as it permits the transmission of considerable power without an excessive outlay in copper, and yet is not dangerous in the event of accidental " shocks." The use of an uninsulated separate return is particularly unsafe in mining, owing to the serious risk of fire which is inevitable with such a circuit.* Even * This remark does not refer to a concentric cable with the outer con- ductor earthed, as used in the Andrews or Fowler-Waring systems. LOSS IN THE LINE. 71 with pressures as low as 100 volts, both mains should be care- fully insulated. It may be granted, then, that the practice of the future, excepting in tramways and railways, will demand an insulated lead and return, and that the whole of the circuit, including dynamos, motors and switches, will be insulated in the most careful and thorough manner. The simplest case of transmitting power, and one that often occurs, is where there are only two machines, a dynamo and a motor. The circuit in this case is obviously a lead and return of the same diameter throughout, since the current is the same at all points (neglecting the small loss from leakage). The line may be an insulated cable buried in a culvert ; or a bare copper wire carried by insulators on poles a so-called aerial line or it may combine the two methods, being partly buried, or cased-in, and partly in the open air. Yet since the diameter is the same throughout the circuit, the resistance of the copper per unit length will be constant. Now, for this simple case what is the best area of conductor to carry a given current or to transmit a given quantity of power if the pres- sure be not fixed 1 It is oftentimes not easy to give a definite answer to this apparently simple query, as so much depends upon the result desired. Is the prime power at disposal practic- ally unlimited 1 If so, the line loss may be large. What is the cost of power at the generator 1 If it be cheap, then the line loss may be high ; but if it be dear (although, perhaps, plenti- ful), the waste in the line must be restricted. But this limita- tion of loss will mean a corresponding increase in the weight of the copper, and copper is costly. So the answer is practically a compromise, and each case must be settled on its own merits. Lord Kelvin as early as 1881 pointed out that a general solution is obtained by equating the annual cost of the horse-power lost in the cable to the interest on the capital invested in the line and supports, including the cost of erection, plus the annual cost of maintenance. But this condition does not always meet all the practical requirements. Indeed, the size of the con- ductor is often fixed between narrow limits by the simple conditions of permissible fall of pressure and mechanical con- siderations. Theoretically, the higher the supply pressure the G2 72 ELECTEIC MOTIVE POWER. smaller the conductor ; but prudence, to say nothing of Board of Trade regulations, limits the pressure, and copper circuits are not often used smaller than, say, No. 10 or No. 12 S.W.G., or equivalent cross section in stranded wires, from considerations of strength and durability. And an excessive outlay in copper is prevented not only by the price of the cable, but by the increased expense in the erection of the line. The latter objec- tion has less weight when the conductor is laid in the ground, for it is practically as cheap to lay a large cable as a small one ; and large mains are invariably run underground. Prof. G. Forbes, in his Cantor Lectures, 1885,* showed that Lord Kelvin's law is most accurately expressed in the following form : The most economical area of conductor is that for which the annual value of the energy lost in the copper is equal to the annual charges on the total cost of the line (includ- ing erection, &c.), minus that part of the capital outlay which is independent of the area of the conductor. Or, in other words, the annual value of the i^R loss must be made equal to the annual interest on that portion of the total capital which may be considered proportionate to the sectional area or weight of the copper. Symbolically, this may be written where p = the annual cost of one E.H.P. at the dynamo terminals, R = the resistance of the line, i m = the equivalent or average current in the conductor, Cj = the total cost of line, C 2 = part of capital proportionate to area of conductor, C 3 = part not proportionate to area, k = the rate per cent, of annual interest to cover total charges in the several capital sums, C 15 C 2 , C 3 . The equivalent current, i m , must be calculated from the estimated load curve, and it is by no means easy to predict * The student should carefully peruse these Lectures, especially the tables formulated to facilitate the calculations. They appeared iu The Electrician, Vols. XV. and XVI., and are published iu pamphlet form by the Society of Arts. LOSS IN THE LINE. 73 its value. The annual heat waste in the mains may be written i^ KT, where T is the number of hours in a year (8,760 hours, say), and i m the equivalent current. And suppose it is esti- mated that in one year a current of value i l will be required for, say, t l hours, a current of i^ for t 2 hours, &c.; then the total waste is equal to the summation of the quantity of energy spent severally in the periods t lt t v 3 , &c. Whence T It is thus evident that there is likely to be a difficulty in find- ing the value of the equivalent current, and yet on the accurate determination of this quantity depend the estimate of annual heat waste and the selection of the economic ratio between current and area of conductor. The equation for determining the section of the copper for the predetermined current is usually given in some such form as the following : . Iwpl a=lm j~cnc \/ where a the area of conductor in square inches, t m , k, p t T, and C 2 have the values already given to them here, and w is a constant depending on the energy wasted in the conductors. If the current be constant (or nearly so, as in a pumping plant), the economic area is most readily determined from a modification of (21), which takes into direct consideration the load factor. This equation, (21 A), is due to Mr. E. Tremlett Carter. It may be written 1-168 C / (2lA) The new symbols are : W = the watts spent in one yard of copper, one square inch in cross section, at a density of one ampere per square inch. This is a constant for commercial samples of copper, and equals 2'56 x lO^ 8 . 74 ELECTRIC MOTIVE POWEE. F = the load factor expressed as a rate per cent. c = the cost of additional copper per square inch per yard length in sterling. The values of c used by the author are given in Table El. Table El. Values of "c" for different costs of laying one yard of additional copper one square inch in section. Copper, including additional cost of laying, at Corresponding values of c in sterling. d. 6 per Ib. = 56'0 per ton. 0-2900 7 = 65-3 0-3383 8 , - 74-6 0-5866 9 = 84-0 0-4349 10 = 93-3 0-4837 11 -102-7 0-5316 12 -112-0 0-5800 13 = 121-3 0-6287 14 -130-6 0-6766 15 = 139-9 0-7249 16 = 149-2 0-7732 17 = 158-5 0-8215 18 = 168-0 0-8700 19 = 177-3 0-9187 20 = 196-6 0-9666 It should be noticed that (21 A) is applicable to constant pressure circuits with variable currents if F be taken as 100 and i m be determined from (20). When the pressure and current vary approximately in the same ratio, (21 A) is applicable, if the equivalent current be determined from (20) ; and is specially useful when only two machines, both series wound, are used. There are three separate difficulties to be overcome before the above conditions can be fulfilled, even assuming that prac- tical and financial requirements necessitate no modifications. In the first place, what is the annual cost of an electrical horse- power? This is by no means easy to predetermine, judging from the wide limits of figures recently published in the reports of Central Lighting Stations. Secondly, it is not easy to esti- mate with certainty how much of the total capital outlay is LOSS IN THE LINE. 75 independent of the area of the conductor. And, thirdly, the determination of the equivalent current presents such difficulties as to make this quantity indeterminate in many cases. Further- more, the question of fall of pressure in the conductor is not taken into consideration in the equation. The cogency of the above reasoning will be more easily appreciated after studying some of the theoretical considerations which affect the problem. Transmission of power may usually be classed under one of the following heads : (a) Definite loss in line and fixed quantity of power at motor terminals. This usually implies that the power at the gene- rating station is either costly or limited, or sometimes that only a definite horse-power can be profitably spent at the motor. (b) Unrestricted loss in the line and fixed quantity of power at motor terminals. Here the prime energy is cheap and un- limited, and only a portion is required for use. (c) Fixed quantity of power at the generating station and as much at the motor as possible. In this case the line loss must be made a minimum, and the weight of copper as great as the capital at disposal will permit. The limiting conditions of pressure, current, weight, cross section and length of conductor, are determined by relatively simple laws. In (a) the loss in the line, i^R, and the energy at the motor terminals, i m e 1? are fixed. Therefore the sum of these two quantities that is, the output of the dynamo is also fixed. Let this be i m e. Now, the resistance of the line, R, will vary directly as the length and inversely as the area of cross section of the cable ; and therefore where d is the diameter, w the weight of the copper wire, and k a constant. And by the assumed conditions of transmission, 70 ELECTRIC MOTIVE POWER. i* Ik i m e = i m e l -{- =a constant. It is evident that the value d 2 of this quantity may be kept the same with considerable variations of i, e, I, and d that is, with alterations of current and pressure, and with different lengths and gauges of wire. In (b) the line loss is assumed to be unlimited, and therefore the dynamo output may be made as large as convenient. The size of conductor may be determined simply by the maximum pressure deemed advisable and the condition of a definite quantity of power at the motor terminals. In (c) the power of the generator is fixed, and that of the motor is to be as large as possible ; therefore, the line loss must be as small as consistent with an economic outlay in copper for the conductor. Practically the pressure selected should be as high as the peculiar circumstances permit, and then as much money should be spent in copper as can be spared for this part of the plant. If the generating station be situated in the middle of the line and power be distributed equally along each branch of the circuit, the weight of copper will be one-fourth what it would be if the station were at one end. With several supply stations, the weight of copper will vary inversely as the square of the number of stations, assuming they are properly placed, i.e., at equal intervals with reference to the load distribution. And the pressure required will vary inversely as the number of stations. These few general statements of the laws governing power transmission and distribution by electricity show distinctly two facts : firstly, that a high pressure is necessary for econo- mical transmission ; and secondly, that for distribution a number of stations is advisable to minimise weight of copper and line loss. But it must also be recollected that every additional power station involves increased outlay for land and buildings and an additional staff for the control and working ; therefore it will not be expedient to lay down a new station from considerations which simply refer to copper and line loss. But it is evident that the first station should be LOSS IN THE LINE. 77 placed as near the centre of the district as convenient, and that the subsequent erection of inter-dependent or independent stations will have to be determined by the load factor* and the centre of gravity of the load with reference to the station and mains. It has already been stated that the most simple case of transmission of power is where the circuit simply joins up a pair of machines. But no practical difficulty, as far as the line is concerned, is involved if a number of motors, in close proximity, be supplied from one distant power station ; for the whole of the current will be carried by the main conductors. Yet, it is evident that there must be one particular gauge of wire which will give the most economic results for the average current ; and this will be the case when Lord Kelvin's rule in a modified form is adhered to. Various attempts have been made to give a general expression for the current in terms of area of wire, cost of horse-power at generator, &c., and it is noteworthy that the term for the length of the line cancels out of the final equation. This implies that the length of the circuit does not affect the problem a state- ment only true when the economic law is adhered to. The length of the line does not affect the economic area of a conductor for the given current, but it obviously affects the power lost in the line. The length of the line is always understood in the terms expressing the resistance of the circuit and the area of the conductor for, mathematically, the line may be defined, both as regards its length and weight, by the resistance of the circuit and the gauge of the wire. This is done in the usual equations, and hence the difficulty. Profs. Ayrton and Perry, in March, 1886, read an important Paper on "Economy in Electrical Conductors,"! showing that Lord Kelvin's law holds good only when the current is fixed, and is not taken as an independent variable in the equation for determining the area of conductor. * The load factor is the ratio of the average output to the maximum output of the plant, and is usually expressed as a percentage. For central lighting stations the load factor is found to vary from about 10 per cent, to 15 per cent. With power plants it will generally be much higher, and in collieries, &c., may reach as high as from 80 to 90 per cent. t Jour. Proc. Institution Electrical Engineers, Vol. XV., p. 120. 78 ELECTRIC MOTIVE POWER. Mr. Kapp, in his Cantor Lectures,* gives the subject close attention from the transmission of power point of view, and takes as a basis the elementary case of one generator and one motor. (The case of several generators at one power station feeding into a single pair of mains and delivering energy to a group of motors lying near to each other at the end of the line is practically the same.) He shows that a complete solution requires the following conditions to be taken into account : Annual value of brake horse-power at generating station. Pressure of supply at generator terminals. Brake horse-power required at motor. Length of line. Capital outlay per ton of copper erected. Cost per electrical horse-power at dynamo terminals. Interest and depreciation of the whole plant. It is important to note that Mr. Kapp takes into considera- tion the pressure of supply ; in fact, he fixes the pressure and finds the best current for the given conditions. And he shows that in no case will it be economical to lose more than half the total power in the line, and that for every transmission problem there is one pressure for which the annual cost of a brake horse-power at the motor is a minimum. This conclusion was foreshadowed in one of the questions asked a few pages back, " What is the best area of conductor to carry a given current if the pressure be not fixed?" But, as already suggested, the limitations of the Board of Trade or other con- siderations practically fix the pressure of supply in most cases, and the problem consequently narrows itself to the relative weight of copper for the predetermined current, and the real variable quantity is the amount of energy to be wasted in the line. Under these assumptions, by a few trial-and-error calculations, a gauge of conductor may be selected to permit such an average heat waste that the approximate annual cost of the energy lost shall be as nearly as possible equal to the interest on the capital outlay in the copper (including erection) and maintenance of the line. * Cantor Lectures delivered before the Society of Arts, February, 1891. AERIAL LINES. 79 Exception may be taken to this treatment of the subject; yet it accords with practice. Local circumstances have such weight that no hard-and-fast rule can possibly meet the requirements of every case. And the indeterminate character of some of the quantities of the problem, such as the equivalent current and the cost of an electrical horse- power, on the constancy of which the truth of the equations depends, renders a general mathematical solution inferior to a determination based on a practical knowledge of the require- ments of the particular case, and a simple application of Kelvin's law to select the gauge of wire and heat waste for a given current. This method does not necessarily give a minimum cost per brake horse-power of the motor ; but if the steam (or turbine) plant and the electrical machines be of good make and properly proportioned for the average load, the best results will be very nearly realised. In concluding this section on the theoretical conditions affecting the line loss, it is noteworthy that the simple condition of fall of pressure may be of paramount importance, and hence may alone determine the gauge of wire and consequent copper loss. This is specially likely to be the case in the distri- buting network when the current and pressure are fixed. Yet the author wishes to emphasise the importance of the economic law, and to state that whenever circumstances admit of its application its requirements should be carefully satis- fied, A competent engineer will attend to this in a thorough manner. 17. THE CONDUCTOR IN PRACTICE AERIAL LINES. Proceeding to practical requirements, the first consideration is the metal for the conductor. In selecting this, the main consideration is all-round cost i.e., which metal will be the cheapest, taking into account the predetermined heat waste and conditions of erection and insulation. To guide the choice it is necessary, first of all, to know the specific resistance of the metals usually sold in the form of solid or stranded wire. Copper, or its alloys, and iron and steel are practically the only materials at present available for the purpose. 80 ELECTRIC MOTIVE POWER. The resistance to the passage of an electric current in a wire of unit length and of unit area of cross section is denned as the specific resistance of the substance. The quantity thus designated gives a ready means of comparing the relative electrical suitability of the different metals. Table F. Metal. Sp. resistance in microhms. Specific gravity. Breaking strain in Ibs. per sq. inch. Price per Ib. in pence. Copper, annealed 1-615 8-8 8-5 Copper, hard-drawn .. 1-642 8-9 56,000 8-5 Bronze (tin and copper) *Silicium bronze Phosphor bronze Aluminium bronze 4-42 1-7 } 3-0 to 60 I 8-4 to 8-7 84,000 ( 65,000 10-0 ) 8-5 \ to ) 12-0 Iron, ordinary, soft ... Iron, galvanised, killed. 9-827 10-0 to 11-0 } 7-6 to 7-8 / 47,000 to \ 85,000 } i-o Steel, ordinary, soft ... 14-5 to 15-0 7-8 to 7-9 135,000 1-5 Steel pianoforte wire... 16-0 to 16-5 7-75 335,000 2-0 Manganese steel 73-0 7-8 110,000 3-0 The above figures are necessarily only approximate. The specific resist- ance determinations have been made at 32F. In Table F. are arranged the copper alloys and various other metals in the order of their specific resistances ; the specific gravity, breaking strain in Ibs. per square inch, and the ap- proximate price per Ib. of the several metals are also given for rough comparison. It will be seen that iron has nearly seven times the specific resistance of copper, and so for a given resist- ance of line, the area of an iron wire will have to be, say, seven times that of a copper one. The specific weights are in the ratio of 8-9 : 7 '8, and the weight of the iron line, relative to that of the copper line, will be expressed by 7 W ?, or 6-18 W, O * / where W is the weight of the copper in Ibs. And the costs will be respectively 8 '5 W for the copper, and 6 '18 W x 1 for Per sq. in. * Class A, 97% conductivity of pure copper, tensile strength ... 65,0001b. Class B, 80% ... 90,0001b. Class C, 45% ... HO.OOOlb. IRON VERSUS COPPER. 81 the iron. A bare copper line will, therefore, cost about 27 per cent, more than an electrically-equivalent iron wire. From the simple consideration of first cost of conductor, then, it appears that iron is superior to copper. In relation to the total line cost, however, the reverse of this is the case. For the weight and breaking strain have to be taken into considera- tion. The breaking strain of hard-drawn copper of 98 per cent, conductivity is about 56,0001b. per square inch ; whereas that of well-killed galvanised iron is about 85,0001b., so the spans may be made longer with iron wire in the proportion of 85 to 56; or, say, 50 per cent. Yet, since the iron wire is 6'18 times as heavy as the copper, the supporting devices must be correspondingly stronger. The figure of merit of a metal per se may be expressed as the product of the reciprocals of the specific resistance, the specific weight and price multiplied by the break- ing strain the best metal giving the largest figure of merit. Thus, for copper o ^ x o x x breaking strain . . . (22) Sp. R Sp. W Price x^xA-x 56,000 = 450. 1-642 8-9 8-5 For iron -^ x ^ xj x 85,000 =1,040. From these general considerations, galvanised iron appears to be, roughly, about twice as well adapted for overhead lines as hard-drawn c6pper. But this proportion is not maintained when all the conditions of the problem are taken into considera- tion. In the first place, the greater bulk of the iron is objec- tionable on account of the expensive posts and attachments necessary to carry the weight ; and secondly, iron, although galvanised,* rusts, and has a shorter life than copper ; and so the cost of maintenance is far greater than with copper or its alloys. Again, old iron wire has practically no marketable value, whereas copper is always saleable. As regards total prime cost of line it is not easy to say which metal is the cheaper for all cases ; but generally for light work, such as telegraph and telephone * Galvanised iron wire is usually served with linseed oil before erection. 82 ELECTEIC MOTIVE POWER. lines, there is very little to choose between the two. With heavy power lines, however, copper will always work out the cheaper (unless the relative costs be very different from those assumed here), for the weight of the iron becomes practically prohibitive. And even with large copper cables of, say, 19 strands each of No. 16 S.W.G. (and larger) the supports have to be so frequent as to form a very important item in the cost of the whole line. In such cases it is usual to suspend the copper conductor from a small steel wire carried on insulators (see Fig. 19) ; by this means the spans can be materially lengthened, and the total cost largely decreased. If, however, the conductor is insulated, copper is by far the cheaper metal, since the necessary bulk of insulation material is FIG. 19. Cable Hanger and Bearer Wire. much less. The areas of the two metals are for equal resistance as 1 I 7, say, and the diameters will be as Ji I ^7, or 1 ; 2 '6 3 ; and for an equal thickness, t, of insulation, the volumes of insu- lation material will be as (1 + 2 ) 2 - 1 2 1(2-63 + 2 *) 2 -2'63 2 . But since to maintain the insulation resistance constant per unit length of conductor it is necessary that the depth of the dielectric vary as the diameter of the conductor, the diameter of the iron cable over the insulation will have to be 2-63 + 2 t ?^? = 2-63 + 5-26 t. To illustrate the meaning of these ratios let the copper conductor be No. 10 S.W.G., and let = 0-lin. Then the diameter of copper conductor = 0'128in., and the diameter over the insulation = 0'328in. The diameter of iron conductor = 0'336in., and the diameter over the SILICIUM BRONZE. 83 insulation = 0'862in. Now the insulating materials generally used, such as pure rubber, vulcanised rubber, &c., are costly, and, therefore, the iron conductor is commercially impossible. These comparisons have been made between iron and copper, because they are the metals most likely to be used for power circuits. The copper alloys, however, present many advantages and combine the high conductivity of copper with the tensile strength of the best iron. Bronze wires are in general use for telephones and telegraphs, and will inevitably come into favour for transmitting power. Silicium bronze has a conductivity about the same as that of hard-drawn copper and a breaking strain of at least 90,0001b. to the square inch. Bearing in mind the relative weights for a given resistance, it is evident that the spans can be made longer with the bronze than with galvanised iron ; in practice, it is found that they may be made about 50 per cent, longer, and less bulky and costly insulators are necessary. One reason why the copper alloys have not been used much as yet is a real or fancied difficulty in pro- curing a wire of a specified resistance and tensile strength, it being found that one of these qualities is frequently gained at the expense of the other. This difficulty is merely a detail of manufacture, and will, no doubt, soon be overcome. The cost, from about 8'5 to 12 pence per lb., is high, but will be reduced as the demand increases. The figure of merit of silicium bronze (Class A), as previously estimated for hard-drawn copper and iron, is ^x^x 65,000 = 517. It is better than copper by about 12 per cent.* It should be noticed that the atmosphere has practically no effect upon copper or its alloys, and that the alloys are not so liable to crystallise as hard-drawn copper. These qualities largely reduce the cost of line maintenance, and in conjunction with the other points already discussed render silicium bronze perhaps the best all-round metal for power lines. * For the comparative data of Classes B and C, see foot-note, p. 80. 84 ELECTRIC MOTIVE POWEE. 18. INSULATED CABLES. The materials used for insulating electric wires are not very numerous, being chiefly pure or vulcanised rubber, rubber compounds, resins, and hydrocarbons, such as the paraffins, bitu- mens, &c. ; vulcanised heavy hydrocarbon oils have also been tried with some success. The covering on the cables has usually two functions of entirely different characters. That part nearest the wire is strictly the electric insulator or dielectric ; while the outside portion simply serves as a mechanical protection to the real insulator, and is not neces- sarily a non-conductor of electricity. It follows then that the insulating properties depend not on the total thickness of the covering, but only on the nature and depth of the dielectric. The insulation resistance varies with the character and quality of the material used, with the temperature, and even with the pressure at which the test is made. It is usual to define the insulation resistance of cables and wires in megohms per mile of cable at 60F., but the pressure at which the test is made is not often given. This, however, is important, and a pressure bearing a suitable proportion to that at which the cable will be worked should always be used in the test. Thus, for a cable to be used in a colliery at 500 volts the testing pressure should be not less than 1,000 volts, which gives a factor of safety of four, assuming the insulation resistance to be inversely proportional to the squares of the two pressures. It is also usual to immerse the cables in water at 60F. for 48 hours before making the test. These precautions are sufficient for the short lengths of conductors used for most power plants, but if the cable be many miles long it is necessary to make capacity tests, espe- cially if it be armoured by a continuous metal sheathing of lead or steel ribbon. This is most important with alternating currents, since then the condenser effects may cause very unexpected results. But this will not be a serious question in general power work, and may be neglected if continuous currents be used. It is difficult to place the various dielectrics in order 01 absolute merit, but their specific resistances have been deter- mined with close accuracy, and form a rough guide. SPECIFIC RESISTANCES OF DIELECTRICS. 85 The specific resistance of some of the dielectrics in common use are given in the following table, being compared with that of mica : Table G. Specific Resistances of various Dielectrics compared with that of Mica. Insulator. Specific resistance compared with mica. Temperature at which the determi- nation was made. Mica ro 68 F Callender's cable, bitite Callender's cable, bitumen Gutta-percha Vulcanised india-rubber Ozokerited india-rubber 1-8 5-33 5-33 18-0 77-0 59 J F. 59 D F. 75F. 59F. f-9F Fowler- Waring cable Shellac 86-0 107-0 59F. 82 F India-rubber (untreated) Siemens' fibre cables Hooper's submarine cable India-rubber, Siemens' special.. Ebonite 130-0 141-0 ]78-0 200-0 333-0 75 F. 59 3 F. 75 C F. 59 F. 115F Paraffin 405-0 115F. It will be seen that prepared para rubber has the highest resistance (with the exception of ebonite and paraffin), and from its dense, hard texture it is peculiarly adapted for in- sulating cables. But it is very expensive, and becomes hard and cracks when exposed to the atmosphere, if great care has not been taken in the manufacture. Vulcanised rubber, i.e., rubber mixed with a certain proportion of sulphur and subjected to a dry heat of about 360F. for a certain time, has a lower insulation resistance, but is practically acid-proof, and is not so liable to become hard and brittle as pure rubber. It is specially adapted for use in water, and hence is largely used for under- ground mains. In applying it to conductors there are usually three servings : the first of pure rubber, the second a separator containing chloride of zinc (to absorb the sulphur and prevent the centre rubber from vulcanising), and the third a mixture of rubber and sulphur; the whole being vulcanised together. In some cases the rubber is vulcanised right through, but there is then a probability of uncombined sulphur damaging the copper. The sulphur blackens the copper, and appears to permeate its substance and to make it brittle. To obviate 86 ELECTRIC MOTIVE POWER. these difficulties the copper should always be tinned before being coated with rubber : this also assists the soldering of joints. Paraffin, although having a very high resistance, is not stable and soon shrinks, becoming pierced with small holes. This appears to be the result of the different melting points of the various waxes composing the whole. Paraffin is largely used for electrical instruments, and the melting point is care- fully specified when it is purchased ; a good sample has a melting point of not less than from 180F. to 200F., or even higher. Several forms of resins have been used for insulators, but they all require to be carefully protected from excessive heat or cold, or they will melt or crack. The Berthoud-Borel lead- covered cable is the best example of this class. It is not much used, however, now, as various heavy hydrocarbons have an equally high insulation resistance, and are not so liable to crack. One of the best examples of yarn fibre saturated with heavy hydrocarbon compounds is found in the Fowler- Waring lead- covered cables. The copper is first covered with a braiding of hemp, or jute, and then thoroughly soaked with the wax at a high temperature, so as to remove all traces of moisture. Lead* is then squirted, under hydraulic pressure, in a fluid state around the core, and so forms a continuous metallic coating. Since lead is a soft metal and is easily damaged by friction, kinking, or blows, it is usual to cover it with hemp braiding, or servings of tape or yarn. With tape there should always be two servings, one right-handed and one left-handed, and the whole should then be coated with a preservative compound, such as ozokerite, Stockholm tar, or pitch. Preparations from bitumen are largely used for insulating cables, but have much lower specific resistances than the pre- viously-mentioned dielectrics. If used in a solid form without any fibrous material they are practically impervious to water; but being viscous, the conductor may become decentralised * The best Spanish lead, guaranteed to contain less than 3 per cent, of tin or other alloys. BITUMEN INSULATED CABLES 87 in course of time. To obviate this, Calender's Bitumen, Tele- graph and Waterproof Company (Limited), who are the makers of this class of cable, vulcanise the bitumen by adding just enough sulphur to combine with the hydrocarbon. This form of insulation, known as Bitite, is firm, and yet flexible, and appears to be unaffected by water* ; but its insulation re- sistance is very low compared with that of vulcanised rubber, and, hitherto, it has been chiefly used for the distributing and service mains on low-pressure systems. When used for high- pressure mains, the makers recommend laying the cables in solid bitumen in iron or wood troughing (see 20, pp. 91 102). J.B. c: FIG. 20. Armoured Cable. FIQ. 21. Concentric Armoured Cable. J.B., jute braiding; S.T., steel tape; J., jute; L.S., lead sheathing; I., insulation ; C., conductor. The bituminised fibre cables are usually laid in special bitumen culverts, which form a watertight envelope. Both classes of these cables are frequently covered with lead and served with jute ; and when culverts are not used it is cus- tomary to armour the outer serving of jute by one or two spiral windings of galvanised iron wire. Steel tape, braided steel, or spirally-wound galvanised iron- wire is now frequently used to armour all the classes of cable referred to (see Fig. 20) ; but it is most generally applied to lead-covered cables, to protect them from mechanical injury, and it is especially useful when they have to be buried in earth the chemical reactions of which are unknown. * It is stated by some that the sulphur works out of the bitumen in course of time. H2 88 ELECTRIC MOTIVE POWER. Armouring is also largely used for concentric feeders (see Fig. 21). The use of a concentric distributing network is open to criticism, but the difficulty of making sound joints is practi- cally overcome by the use of iron service boxes. After the wires have been properly soldered the box is filled with insu- lating material, which can be vulcanised if desired. Fig. 22 shows a service box adapted for use with single mains ; and Figs. 23 and 24 two views of one suitable for concentric cables. These illustrations refer to the Callender Company's system of armoured mains. In all cases, however, the iron or steel armour must be well covered with jute yarn, thoroughly soaked FIG. 22. Junction Box for Single Cables. Plan. S.T., Steel Tape, covered with jute ; L.C., Lead Coating ; B.I., Bitumen Insulation ; C.C., Copper Conductor. in a preservative compound, and the cable should be laid in pitched wood troughing, or in fresh-water sand, or in puddled clay, and thoroughly protected from the atmosphere. Neglect of these precautions is sure to end in breakdowns in course of time. The chief source of trouble with lead-covered cables seems to be corroding agents, and if they be found in even very small quan- tities the lead will be attacked at one or more places, and holes will soon be eaten through to the dielectric ; the erosion then rapidly increases from the inside as well as the outside, being JUNCTION BOXES. 89 assisted by leakage of electricity, which is sure to take place at about the same time. Again, lead- covered cables should FIG. 23. Junction Box for Concentric Cables. Plan. I., Inner Conductor ; 0., Outer Conductor. never be laid in contact with iron pipes, as the slight leakage of electricity, which nearly always exists in damp weather, will FIG. 24. Junction Box for Concentric Cables. Sectional Elevation. rapidly cause the iron to corrode, iron being electro-negative to lead. 19. INSULATORS AND DETAILS OF AERIAL LINES. The various considerations affecting the choice of metal for the conductor having now been discussed, it remains to investigate the methods of erecting the line. There are two conditions which cannot be neglected, viz., the mechanical 90 ELECTRIC MOTIVE POWER. FIG 29. FIG. 30. Iron Stalls, Shackles and Solid Insulators used for Low-Tension Aerial Lines. DETAILS FOR AERIAL LINES. 91 strength of supporting devices and high insulation resistance of the conductor. The general plan of carrying wires on insu- lators is familiar to us all, by reason of the large number of telegraph and telephone wires in use everywhere, and there is thus no need for a detailed description. The most frequent forms of iron stalks, shackles and solid insulators, suitable for low-tension bare wire lines, or insulated cable circuits run overhead, are shown in Figs. 25 to 30. The uses of the various types of support will be apparent on inspection. The stalks are usually of galvanised iron, either with coach screw threads, or screwed for tapping into metal ; for very heavy power lines, in which copper cables of about 19/16 S.W.G. are used, the stalks are forged or cast steel, sometimes galvanised. The insulators are made of glazed white or brown ware, the latter being the stronger and more durable. The line wire is laid in the groove at the top or on the sides of the insulators, and is lashed securely in position by binding wire. If the line pressure be high, and the dielectric covering around the cable of a low quality, it is usual to use an insulator, with a recess moulded in the inside of a bell-shaped bottom, which is filled with a resinous oil of high specific resistance. This plan is illustrated in Figs. 31 to 34, p. 92. Figs. 33 and 34 are adapted for straight lines ; Fig. 31 for curves and straining posts, or for attachments at the end of a line; and Fig. 32 shows a form used for carrying a bare steel wire to which the copper cable is suspended by leather loops (see Fig. 35), or by a metal hook as shown in Fig. 36, p. 93. The function of the oil is, primarily, to prevent surface leakage of current, especially during wet weather, when it necessarily occurs with the solid type of insulator. To maintain the oil in an efficient state, it is important to prevent an accumulation of dust or water on its surface. The arrangement shown in Fig. 33 is the Indian Government pattern, and is, perhaps, superior to any of the other devices ; but the types of insulators shown in Figs. 31 and 34 have given excellent results in most of the plants installed by the author. In very dusty places, or where the insulators are difficult of access, it is better to use the form illustrated in Fig. 33. ELEOTEIC MOTIVE POWER FIG. 33 FIG. 34. Oil Insulators used for High-Pressure Aerial Lines. DETAILS FOR AERIAL LINES. 93 With regard to posts, it is clear that these will only be employed where there are no buildings or other convenient objects to which the insulators may be attached. For cross- country lines wood posts are usually found to answer all the requirements; but along roadways, and in other special cases hollow steel posts will be found to be nearly as cheap, and certainly more durable and ornamental. It is probable, however, that in the class of work to be carried out in the near future, wood posts will be more generally preferred. They should be of well-seasoned larch or pitch pine, and be firmly embedded in the ground to a depth of from four to six feet, according to their FIG. 35. FIG. 36. Hangers for Suspending Cables from a Bearer Wire. height and the strain they are designed to carry. It is not easy to give definite rules for sizes of posts, lengths of spans, and strain in conductor; but an examination of a few trunk telegraph lines will exemplify the principles involved. Some idea of the length of spans and dip of the cable with and without a bearer wire may be gathered from Table H, p. 94, which has been compiled by the Silvertown Company. These figures agree fairly well with the author's own experi- ence. In connection with this part of the subject, it should be noticed that the Board of Trade Regulations fix the maximum length of span at 200ft. where the direction of the conductor 94 ELECTEIG MOTIVE POWER. is straight, and at 150ft. where it is curved, or when the conductor makes an angle with the support. These regulations also require a factor of safety of at least 6 in the conductors and suspending wires, and of at least 12 in the posts, standards, and fixed attachments, taking the maximum wind pressure to be 501b. to the square foot. The accumulation of snow may be neglected, since the slight heat generated in the conductors is sufficient to melt the snow in this climate. Table H. Span. Copper conductor strands of Dip. Without steel bear- With 7/16 steel ing wire. bearing wire. 7/20 5 feet 64 feet 238 feet 7/18 5 80 ??0 7/16 5 102 220 19/18 5 118 210 20. UNDERGROUND LINES, CONDUITS, BUILT-IN AND DRAWING-IN SYSTEMS. It is becoming generally recognised that aerial lines, whether of bare copper or insulated cable, though permissible in open country where they are free from wilful or accidental damage, are a source of possible danger in towns, &c. And it is also apparent that such lines are especially subject to interference from lightning. (The aesthetic view of the question is irrelevant to the purely engineering aspect, and need not be discussed.) It is evident, however, that if a line has to be made permanent,, and be required to work continuously at a minimum cost of maintenance and depreciation, it must be protected from both atmospheric influences and accidental injury. These ends are best attained by laying the cables in the earth. Experience gained with gas and water mains points to two methods : in one, the cables are simply buried in the soil at a safe depth ; in the other, they are run in conduits or pipes. If the first system be adopted, it is evident that the insula- tion of the cable must be protected from mechanical injury during laying, and afterwards from a possible erosive action of UNDERGROUND CIRCUITS. 95 the soil, and, perhaps, from the effects of water. This suggests the use of a metallic sheathing of lead if the Water Company's practice be followed, or iron if the Gas Company's experience be accepted. Both kinds of armouring have been used with success here and failure there. The causes determining the result are often obscure, but electrolytic decomposition, assisted more or less by the peculiar constituents of the soil and water, can always be shown to have taken place. In fact, the problem is complicated by the inevitable leakage of at least one main, usually the negative, and sometimes by weak points on both. The passage of an electric current through water breaks up the chemical combination into its component gases, oxygen and hydrogen. The liberated oxygen immediately attacks any oxidisable material in contact with it the lead sheathing, for example and soon changes its nature. Other more obscure chemical changes, resulting in the formation of free chlorine, hydrochloric, and sulphuric acids, and other corrosive agents, may also occur if the soil be impregnated with suitable salts. Hence, wherever there is a leakage of electricity, there is a tendency to destroy the metallic sheathing, the insulation, and, finally, the copper conductor itself. It is, therefore, necessary to protect the metallic armouring by servings of jute soaked in tar, ozokerite, or some preservative compound. And in all cases it is wise to lay the cables in clean soil, clay, or fresh- water gravel, and to protect them by boards from mechanical injury such as an inadvertent blow from a pickaxe. The armoured concentric mains laid at Bradford for the lighting ser- vice are a good example of this class of work. They have been in continual use for about four years, and the author is assured by the engineer that the insulation resistance has increased since they were laid in the ground, and that no trouble is expe- rienced with the coupling-up of consumers through the iron junction boxes already referred to.* The second method may be considered under two heads: (a) the "built-in" systems, in which the cables, usually strips of bare copper, are laid in conduits, and covered-in permanently, so that they cannot be reached without taking up the top soil ; * See pages 88 and 89. 96 ELECTEIC MOTIVE POWER. and (6) the " drawing-in " systems, in which continuous lines of waterproof conduits, or pipes, or troughing are laid, with drawing-in boxes at intervals of from 80 to 100 yards in the straight, and at all sharp bends. A complete discussion of these systems of laying cables is not .suitable here, since this properly belongs to a treatise on central ^\^ ^^ Fia. 37. Callender Solid Bitumen System. Cross Section of Trough. stations for distributing light (and perhaps power) over a large area to a number of points in close contiguity ; whereas this book treats, primarily, of the transmission of power between FIG. 38. Callender Solid Bitumen Svst< m Sectional Elevation of Trough. places relatively far apart, and, secondarily, of its distribution to a comparatively few points in a limited area. And should it be deemed advisable to run the cables underground, some modification of the first method (cables simply buried) is sure CALLENDEKS SOLID BITUMEN SYSTEM. 97 to be selected from the mere consideration of first cost. If, however, the cables are likely to be frequently disturbed for coupling-up supply mains to new points, or if they are likely to be increased in number within a reasonable time from the first installation, then one of the second systems may prove to be the cheaper in the long run, but this contingency is improb- FIG. 39. Callender Solid Bitumen System. Cross Section of Service Box. able on the supposition laid down in the preface and introduc- tion. It will be, therefore, sufficient to illustrate the methods by a few characteristic drawings. (a) One of the best "built-in" systems is the Callender Solid Bitumen system (illustrated in Figs. 37 and 38). The troughs are made in cast iron, in lengths of 6ft., with sockets at one FIG. 40. Callender Solid Bitumen System. Plan of Service Box. end, so that when fitted together there is a free " run " inside. The lengths are coupled together by counter-sunk bolts and nuts. Bends and circular pieces are used to carry the mains round corners and for changing the levels at crossings, but considerable deviation from the straight line is possible with the standard type. The method of laying is as follows : The 98 ELEGTEIG MOTIVE POWER. troughs are first connected in position and then a small quantity of molten bitumen is run in, and before it sets bridges of bituminised wood are placed in it at intervals of 18in. The insulated cables are next laid in position and held in place by .these bridges so as to be clear of the sides and bottom of the FIG. 41. Callender-Webber Drawing-in System. Section of Manhole. trough and of each other. The interior space is then carefully filled up with bitumen to within half an inch of the top, and the whole is finished off with a covering of Portland cement or cast iron lids. It is obvious that cables laid in this manner FIG. 42. Callender-Webber Conduit. are completely protected from the action of damp, water, or gases, and yet repairs can be easily and rapidly made. The method of coupling up the service mains is illustrated in Figs. 39 and 40, p. 97. CALLENDEE-EAWOETH CONDUIT. 99 (I) The drawing-in systems are illustrated by Fig. 41, which refers to the Callender-Webber system and shows the conduit, a brick pit, and the method of coupling the feeders or service mains without junction boxes. The conduit consists of bitumen concrete formed in blocks 6ft. in length and pierced by "ways" (see Fig. 42). The standard sizes of these cases are for 2, 3, 4, and 6 ways of either 1 Jin., 2in., 2f in. or Sin. in diameter. To join the lengths, the cases are brought together and an iron mandrel placed in each of the ways. Melted bituminous concrete is then run between the two cases and rammed home. When the bitumen is cold the mandrels are withdrawn, leaving a perfect joint as strong as the main case itself. The u ways " are quite smooth throughout their entire length. It is said that the cables occasionally sink into the bitumen in course FIG. 43. Callender-Ra worth Drawing-in System. Cross Section of Trough. of time and cannot, therefore, be withdrawn. The Callender- Raworth system (Fig. 43), however, entirely obviates this difficulty, and combines the mechanical strength of the solid bitumen system with the facilities of a drawing-in system. It consists of cast iron troughs with flanges. The spaced wooden bridges are fixed at short intervals, and on these are laid tubes of specially-made paper impregnated with bitumen. The tubes are joined together by sleeve pieces and are then buried in solid bitumen. The conduit is closed on the top by a cast-iron lid with flanges fitting over the sides of the trough. The high- pressure lighting mains at Huddersfield are thus laid, and are, in the author's opinion, a first-rate example of conduit work. 100 ELECTRIC MOTIVE POWER. Messrs. Doulton and Co. make a variety of designs in vitrified stoneware casing, suitable either for built-in or drawing-in systems. They are made both with solid and removable tops, and in every respect are suited to the various requirements of conduit work. The stoneware is acid proof,, .mpervious to water and gas, and is made in convenient lengths, easily jointed in position by cement or bitumen. The lengths of casing are laid, with a small space between them, in cast-iron or stoneware jointing-collars. Mandrels with india-rubber heads are then introduced into the " wavs " and STONEWARE CONDUITS. 101 expanded opposite the joints by a screw. Molten cement is next poured in to fill up the space between the lengths. The cement sets in a few minutes and then the mandrel is removed, leaving a smooth joint in the inside, and insulated cables may be safely drawn into the u ways." Solid casing with two " ways " is shown in Figs. 44 and 44^, in vertical and horizon- tal section at a joint ; while the method of using the mandrel is made clear in Figs. 45 and 45A, (a) showing the mandrel as introduced into the " way," and (b) showing it expanded and closing the duct. This ware can be made in almost any shape, and will probably be largely used in the future instead of cement for conduits with removable tops. In price it competes favourably with most of the methods now in use, and its great strength, combined with its insulating qualities, commend it for a number of purposes incidental to electrical work. The same firm make round spigot and socket pipes in stone- ware with Standford's patent watertight joint. The principle will be at once seen on reference to Fig. 46. The black part FIG. 46. Standford's Watertight Joint. Section of Joint as Laid. in the joint refers to a special preparation of bitumen fitted around the spigot and inside the socket. That in the spigot is curved, while that in the socket tapers gently inwards from the mouth. To joint the pipes it is only necessary to place the ends in line and push them together a little thick grease being first put on the surface of the bitumen. It is obvious that an exact alignment of the pipes is not necessary, and that the joints will remain watertight with even a considerable settlement or displacement of the line of pipes. This method of jointing will, no doubt, find favour for electrical purposes, as it already has for water works. i 102 ELECTRIC MOTIVE POWEE. Iron pipes have not been referred to because their use is sufficiently obvious. It may be mentioned, however, that cast pipes are more durable than wrought ones. They form the cheapest kind of conduit and are most frequently used for high-pressure feeders, which, of course, are heavily insulated. Generally, iron pipes are not so well adapted for the dis- tributors as the Callender or kindred systems. 21. LIGHTNING DISCHARGES, LIGHTNING CON- DUCTORS, AND LIGHTNING ARRESTERS. It has already been mentioned that aerial lines are specially liable to trouble from lightning. It is, therefore, important to study the conditions under which lightning discharges take place, and also to examine the various methods in vogue for protecting the line and plant from damage. It is well known that trees, tall buildings, and elevated structures in general, are more likely to be damaged by lightning than low-lying parts ; and it has also been observed that a certain area around a tall building, such as a church spire, is comparatively safe, and rarely receives damage from this cause. It is therefore customary to erect lightning conductors with barbed platinum points on the summits of tall or isolated buildings, and to con- nect the rods with the earth by means of suitable earth-plates buried in moist ground. The theory of lightning conductors has been elaborated by Prof. Oliver Lodge, to whose excellent work* the reader is referred for more complete information. It will now serve practical purposes to make a few generalisa- tions with reference to the subject. The function of a lightning conductor is to prevent disruptive discharges by rendering the accumulation of a dangerous charge an impossibility. To attain this end experience shows that the discharging rods should be of stranded wire or ribbon so as to offer a low resist- ance to the high periodic current of the discharge. The metal may be copper or galvanised iron according to the view taken of the relative values of electro-magnetic induction and ohmic resistance. Prof. Lodge inclines to an iron conductor, but usage certainly points to copper. The conductor should form * " Lightning Conductors and Lightning Guards," by Prof. Oliver J. Lodge, D.Sc. LIGHTNING DISCHARGES. 103 a network, completely surrounding the structure of the building, and discharging points should be placed at every prominent place, or semi-detached part. Insulators should be used to carry the rods, in order to lessen the liability of lateral discharges to metallic things inside the building, and all external metal-work, such as water-pipes and iron ornaments, should be connected to each other and to earth, but not to the lightning conductor. The conductor is usually composed of seven strands each of No. 9 S.W.G., or of a ribbon lin. wide by -Jin. thick. The earth-plate (or plates) should not be of less area than, say, 20 sq. ft., counting both sides, and should be buried about 20 ft. below the surface, so as to ensure contact with moist soil, even during times of drought. Sometimes an iron pipe is used, in which case the area must be reckoned from the outside only. Lightning conductors as ordinarily understood, however, are not the only protection required for aerial lines, which, as a rule, lie much nearer to the earth than adjacent trees and buildings. Indeed, the difficulties in connection with atmo- spheric electricity which have to be encountered are of a varied character and demand special precautions. Lightning discharges may be conveniently divided into four classes. (a) The most dangerous of all is a stroke falling on the line from clouds directly overhead, which raises the potential to a dangerously high point. (6) If discharges of electricity occur between clouds in a direc- tion parallel to or approximately parallel to that of the line, they tend to induce charges in the line and cause a disturbance in the line pressure, which may, or may not be compensated for by the effect being in the same direction in the lead and return. (c) If part of the line be earthed at two or more places, disturbances in the surface potential of the earth may cause relatively large currents to pass through the copper line before equilibrium is restored. And (d) The electrostatic induction of banks of clouds may cause rapid and violent changes of pressure in the line. These, i2 104 ELECTRIC MOTIVE POWEIi. in a modified degree, are probably of frequent occurrence, but fortunately, the pressure can be rapidly adjusted through lighting arresters. From an examination of the preceding divisions it may be assumed that time is an important factor in the effects of the discharge. Indeed, it seems probable that even a well-designed lightning conductor is insufficient to carry off the enormous- discharges which sometimes fall directly on the line from low- lying clouds. Yet the true function of a lightning conductor, in the author's opinion, is not to form a safe path for the surg- ing current of the discharge, but to prevent the accumulation of a dangerous potential by a continuous silent discharge. Viewed in this light, lightning conductors are useful in power work and may be placed at intervals on the posts, as indicated in Fig. 30, p. 90 ; but to be effective they must be efficiently earthed to plates, preferably of copper, of not less than 6 or 8 sq. ft. in surface on each side. The wire connecting the dis- charger and the earth-plate may be of galvanised iron wire,, say, seven strands of No. 12 S.W.G. not solid wire. Inductional disturbances produced either by discharges between clouds or by the electrostatic effects of heavily-charged layers of clouds can be generally guarded against by means of devices known as lightning arresters. (These are referred to later.) Or, the line wires may be almost certainly protected from these troubles if a bare grounded wire be run on the tops of the poles, a foot or so higher than the insulated circuit. This is usually of bare stranded iron wires, and is earthed at either end and at intervals along the lines, and is, therefore, at the same pressure as the earth. As soon as there is a tendency to produce a disturbance of pressure in the system, it is annulled by a discharge between the earth and the grounded wire, and there can be no great difference of pressure between the earth and the insulated copper mains from this cause. The safety grounded line is shown in Fig. 47. The iron wire might with advantage be connected to dis- charging rods placed on the tops of posts on high ground or exposed positions. Although the use of an earthed wire GROUNDED DISCHARGING WIRE. 105 parallel to the insulated ones is fully appreciated in the telephone and telegraph services, it seems to present several difficulties with high-tension circuits. Since the " live " cir- cuits, i.e., the wires carrying the high-pressure current, are close to the " grounded " wire there is a chance of linesmen receiving shocks, especially if an earth return be used as in street railway work. This risk is obviously increased if the " live " wires be bare, and there is also the chance of short-circuiting the " live " and " ground " wires by accidental contact with telegraph and telephone wires. If both lead and return be covered with insulation, these objections have less weight, but FIG. 47. Grounded Discharging Wire. ven slight leaks may give serious shocks, when the working pressure is high. However, this method is so efficient and so generally avail- able that the author strongly recommends it for power lines running across open country, where the previously mentioned difficulties are not of so much importance. But the cheapest and in many respects the most practical way of securing com- parative immunity from lightning discharges with an overhead line is to use a concentric cable in which the outer metallic sheath forms the return and is grounded. This arrangement only requires one conductor in place of two and the earthed 106 ELECTRIC MOTIVE POWER. wire, and as the positive wire is protected by the insulation between it and the negative wire and also by the grounded wire itself, it is absolutely impossible for a linesman to get a shock. And in the event of a short circuit the worst that can happen is the blowing of one of the cut-outs. A concentric cable used in this manner must not be confounded with a To Line J Spark "X3ap. To Earth 1 ? FIG. 48. Lightning Arrester. simple earth return or an insulated bare wire return, in both of which cases there is always the chance of severe shocks to men working on the line. Lightning arresters have already been referred to, and two elementary types are illustrated dia grammatically in Figs. 48 and 49. The theory underlying the use of these devices is To Lm< wwwwwvwvwv /wwvwvwwwvvv To Earth FIG. 49. Lightning Arrester. found in the power possessed by high pressure and high fre- quency currents to leap across air-gaps of high ohmic resistance rather than traverse the line and dynamo circuits which have large self-induction but small ohmic resistance. In Fig. 48 there are two plain-faced discs of metal insulated from each other by an adjustable air-gap. The "live" wire LIGHTNING ARRESTERS. 107 is coupled to one disc, and the other is " grounded." The action is as stated above. In Fig. 49 another property of an electric charge is utilised to render the device more sensitive and certain in its action. It is found that an electric charge does not distribute itself equally over the surface of a body but tends to accumulate at points, from which it is also most readily discharged. This type of arrester has therefore a dual purpose. In the first place it acts as a discharger, and tends to prevent a slow accumulation of electricity ; and, secondly, the spark-gap forms a path of low resistance, compared with that of the line, dynamos and motors, in the event of a large disturbance of pressure in the system. Referring to Fig. 49, a is a plate connected to the line, b a plate of similar size connected to the earth, the two serrated edges being placed opposite to each other. It is evident that a will be at the pressure of that part of the line it is in contact with, whilst b will be at the same pressure as the earth The distance of the spark-gap can be regulated to suit the ivorking pressure of the line. If this pressure be exceeded by a predetermined amount dependent on the distance between the teeth, a discharge will take place from one plate to the other, thus preventing an excessive difference of pressure. Since the inductive disturbances due to lightning are of a periodic character, it follows that there will not be the same tendency for disruptive discharges all over the area of the system at any moment. In fact, there will be a series of nodes continually shifting their position. To ensure efficient protection, then, the arresters should be placed at intervals, and also at the entrance to the power station, and across the terminals of all dynamos and motors coupled to the circuit. The method of applying them will be clear, after a perusal of the preceding statements. Owing to the fact that a much lower pressure is required to maintain an arc than to initiate it, the simple forms of arrester (shown in Figs. 48 and 49), although affording efficient protec- tion to telegraph and telephone circuits, are not satisfactory on lines which are worked at a high pressure. For there is a risk of short circuiting the dynamo through one of the arresters. In fact, it is necessary to provide some means for extinguishing 108 ELECTRIC MOTIVE POWER. the arc as soon as it is formed. This can be accomplished in various ways, the most apparent being to move the plates apart sufficiently to break the circuit after each discharge, and then immediately to return them to the original position. Another plan is to blow out the arc by means of the heated air resulting from the energy of the spark. Or the spark-gap may be sub- divided into a series of very short intervals, which effectually prevent the formation of an arc by the lower pressure of the line, but across which the high pressure discharge readily leaps in a series of small sparks. Or the short-circuiting current TO EARTH. FIG. 50. Keystone Pattern Lightning Arrester. may be passed through a few turns of thick wire on a powerful electro-magnet, and so break the arc by electromagnetic repul- sion. All of these devices have been tried with more or less success, and a number of patents embodying the principles have been taken out at various dates. It is proposed only to illustrate a few of the most recent or best tried forms, since these are sufficiently characteristic of the whole. The air-blast arc-breaking and self-adjusting type of light- ning arrester is illustrated in Fig. 50, which shows the so-called LIGHTNING ARRESTERS. 109 "keystone" pattern, made by the Westinghouse Company. It is largely used in the United States on power circuits. The action will be clear on reference to the diagram. The black lines show the normal position of the discharging points, the dotted lines refer to the movement which takes place immediately after a disruptive discharge, when the heated air has driven the dischargers out of the box. This action takes place on either pole, and so the arc is effectually broken. The swinging arms, after striking against the mallet-shaped stop at the top, rebound again into their normal position, and the arrester is again ready for action. In theory this device is admirable, and practically, perhaps, the only objection is the moving arms which are likely at times to stick. The apparatus as actually FIG. 51. The Power Circuit Lightning Arrester. installed is shown in Fig. 51 ; the box is opened in order to show the interior arrangements. The magnetic " blow-out " type is generally not so satisfac- tory as the cc air-blast," it being found that there is a tendency for the spark-gap to fuse across before the magnet has time to act. To obviate this, the strength of the magnet must be carefully adjusted, and in some designs carbon buttons are used on the dischargers. The carbon gradually disintegrates by the heat, and the length of the gap, therefore, requires adjustment from time to time. Fig. 51 A illustrates the Thomson-Houston arc line protector. The spark is formed at the base of the curved metallic horn 110 ELECTRIC MOTIVE POWER. plates, but is instantly repelled by the strong magnetic field produced by the electro -magnet in the air-space, the lines of which are perpendicular to the path of the discharge. The arc is thus pushed along the horns and increasing in length is finally broken. One of the most successful of the devices depending on the bringing into action of new points after each discharge is the TO EARTH FIG. 5lA. Thomson-Houston Magnetic Blow-Out Lightning Arrester. Wasson arrester. In this the arc is formed between carbon' buttons, and the current melts a fuse, causing a lever to drop and thereby bringing into position a fresh couple of carbon points. The arrangement contains, say, four or five sets of carbons, and therefore is able to deal with as many discharges, after which fresh fuses are required, and also a readjustment 'of the buttons. It has therefore a more limited scope than the Westinghouse air-blast type. LIGHTNING ARIiESTEES. Ill The " Wurts" lightning arrester depends on the subdivision of the arc into a number of minute sparks, and practically assumes that an arc is never formed. In its most usual form, and as largely used on tramcars by the Thomson -Houston Company and others, it consists of a number of thin iron washers threaded on an insulated column and separated from each other by thin discs of mica. The top sheet of iron is coupled to the " line," and the bottom to " earth." In order to form a circuit between the two end plates it is necessary for the current to leap from the periphery of one plate to that of the next, and so on through the series. Occasionally, beading takes place, finally resulting in a short circuit ; but generally, FIG. 52. The "Wurts Lightning Arrester for Continuous Current Circuits. after properly experimenting with the particular line pressure, it is possible to select such a size and number of plates that excellent results are obtained. The portability and automatic action of the arrester commend it specially for tramcar work. The action seems to be due to the large number of gaps, the length of which is short compared with the breadth, which is equal to the length of the periphery of the plates. The general appearance is given in Fig. 52. The preceding remarks refer chiefly to direct- current systems ; with alternate currents a much simpler device is sufficient. It 112 ELECTRIC MOTIVE POWER. has been demonstrated by Mr. Wurts that zinc, antimony, bismuth, cadmium, and mercury have the properties of breaking an alternate-current circuit without sparking, and hence are called by him non-sparking metals. This gentle- man has availed himself of this peculiar fact to design a very interesting and effective form of lightning arrester which will .permit a 1,000-volt alternator to be short-circuited through it as often as desired, without even affecting the lamps on the circuit, so rapidly is the high-pressure arc destroyed. It is MAIN. MAIN. FIG. 53. The " Wurts TO EARTH. Double-Pole Alternate Current Lightning Arrester. shown in Fig. 53, which is of the double-pole type. The seven pillars, each Sin. long by lin. in diameter, are solid and cast from an alloy of zinc and copper, and have knurl td surfaces. The spark-gaps are each ^ths of an inch in length, and as the earth wire is joined to the middle column, there are three spaces on each side equal to a total gap of /^ths of an inch. Incidental to non-sparking metals it may be mentioned that the inventor says they only show these remarkable properties LIGHTNING ARRESTERS. 113 where the spark-gaps are very small ; and if the gap be increased to half an inch the short circuit will be maintained with a vicious arc. The author has had no actual experience with these interesting arresters, but Mr. Wurts has given the subject much attention, and his investigations in this field are undoubtedly of importance. Some thousands of these non- arcing arresters are already being used in the United States with success.* Fortunately, owing to our climate, there is not the same need for lightning arresters in Great Britain as in some other parts of the world. This happy circumstance explains to a large extent why the power circuit and station devices are chiefly of American origin. And due allowance must also be made in the relatively small number of overhead power circuits in the United Kingdom. All telegraph and telephone lines are, of course, protected by arresters, but, as already stated, the overhead grounded line and the devices shown in Figs. 48 and 49 prove amply sufficient. The author has had, however, in the course of his professional work, to erect a number of overhead circuits for power purposes, and accordingly he designed some years ago the double-pole lightning arrester, shown in Fig. 54, p. 114. The base is of metal, and is grounded ; the faces of the discs are serrated in straight lines, placed at right angles to each other when in the- position for action. The two discs are severally coupled to the positive and negative pole mains outside the main fuses, so that in the event of a disruptive arc forming across the plates and short-circuiting the dynamos, the cut-outs shall at once open the circuit. Although the author has used a number of these lightning arresters in some of the most open and mountainous parts of Great Britain and the Continent, he has never known a case where an arc has been formed. This does not prove that (under suitable conditions) an arc cannot form, but seems to suggest that the device acts as a silent discharger within the limits of the tests to which it has been subjected. It should also be marked that it is the author's invariable practice to use * Vide The Electrician, December 2, 3892, and Paper read by Mr. Wurts before the American Institute of Electrical Engineers on March 15, 1892, entitled i! Lightning Arresters and Non-arcing Metals." 114 ELECTRIC MOTIVE POWER. toothed arresters at various parts of the line, mounting them on the posts in water-tight metal boxes, and also to use dis- charging rods or lightning conductors at the most exposed parts I of the circuit. And he has always used the overhead grounded line as well as these arresters in mountainous districts, which are subject to heavy thunderstorms. CHAPTER IV. DIRECT CURRENT SYSTEMS OF TRANSMITTING AND DISTRIBUTING ELECTRICAL POWER. 22. Introduction and Definitions. 23. Series Working : Constant Cur- rent System ; Single Dynamo and Motor in Series. 24. Parallel Working : Simple Parallel ; Reverse Parallel ; Feeder System ; Three- Wire System ; Multiple- Wire Feeder System with Regulators. 25. Continuous Current Transformers or Dynamotors. 26. Methods of Compensating for Fall of Pressure on Feeders and Mains. 22. INTRODUCTION AND DEFINITIONS. IN the previous chapter the line and its details were discussed in theory and practice, but the electrical systems of transmit- ting power were not differentiated. As it is of the utmost importance to understand the essential differences between them, and to notice the cases to which they are severally applicable, these branches of the subject will be treated in separate chapters. The electrical systems of transmitting and distributing power may be classified, according to the direction of the current, as continuous or alternate ; or, according to its division, as series or parallel. The former classification will be adopted here. A continuous current is one producing electromagnetic effects which are continuous in direction. An alternate current is one producing electromagnetic effects which regularly and rapidly alternate in direction. One complete alternation is called a period, and the number of periods per second the frequency of the current. This varies in ordinary practice from about 40 to 130. 116 ELECTRIC MOTIVE POWEE. A series system is one in which the current is used in a single circuit ; a parallel system, one in which the current is divided into two or more circuits. Both continuous and alter- nate systems are capable of parallel working, but only the continuous is suitable for series running. 23. SERIES WORKING. The simplest case of transmission is that in which the current is of the same value at all parts of the circuit, and in which therefore the dynamos and motors are all coupled in series with each other (see Fig. 55). The current is usually con- stant, the system being denned as series or constant current, and its application is limited by considerations of pressure of dynamos and speed regulation of motors. It is not likely to FIG. 55. Series System. be largely used, and is worthy of consideration chiefly on account of the particular case in which there are only two machines one generator and one receiver. (This, although a true series system, is not necessarily a constant current one, and indeed is generally worked with both pressure and current varying with the load ; it is specially discussed at the end of this section.) The constant-current series system, as its name implies, requires the current to be maintained approxi- mately of the same intensity; and alterations of load are brought about by changes of pressure. Since all electrical work can be expressed by the product of the numbers of volts and amperes in the circuit, or symbolically e x i m} it is clear that for a given value of i m , the output of the dynamo (or dynamos) is limited merely by the pressure, e, at which it is found practicable to work. The insulation CONSTANT CURRENT SYSTEM. 117 of the circuit and machines presents difficulty, and the collection or commutation of the current is influenced by the pressure. It is found that a pressure of about 3,000 volts is as high as can be conveniently dealt with in machines of the open coil type, such as the Thomson-Houston and the Brush arc dynamos ; while with closed-coil drum, disc, or Gramme armatures, one of 2,000 volts is, perhaps, all that can be safely handled. (The difficulty will be increased if the current exceed the 6*8 or 10 amperes required for arc circuits.) The pressure difficulty can be met to some extent by coupling two or more dynamos in series with each other, and this plan has been tried with success. It is a common practice to couple mechanically two dynamos in line with the prime motor say, a turbine and to connect the armatures electrically. But in order to maintain the current constant, it is necessary to vary the pressure to suit the work. This may be done in several ways. For instance, the speed of the prime motor, and, consequently, that of the dynamo, may be varied ; or a governor may be used to alter the excitation, or to change the position of the brushes, and so cause the armature to have a greater or less demagnetising effect on the field-magnets. The controlling power for either of these governors is the main current which energises the soft iron core of a solenoid, and connection is made by suitable link motion to variable resistance coils, or to the brush rocking frame. The effect of altering the excitation is sufficiently obvious; but that of shifting the brushes is not so clear. It may be roughly stated thus : When the external resistance of the circuit is lowered, by cutting out one of the motors or arc lamps, or by a reduction of the motor speed, more current tends to flow in the circuit. This increase of current energises the solenoid, causing it to shift the brushes to a fresh position where the pressure is lower, and thereby the current is decreased. When the current falls below the designed value, the governor also shifts the brushes, but in the opposite sense, and increases the pressure so as to tend to raise the current to its normal value. However, in the nature of things, with such a method of control, it is clear that the current cannot be maintained constant, for the governing depends on a departure 118 ELECTEIG MOTIVE POWER. from the designed value. In fact, it is found that the current varies between certain limits for full load and no load, the full- load current being less than the no-load current by an appreci- able amount. The result of this variation is, that there is always a tendency to stop any motor which is temporarily loaded beyond the torque corresponding to the particular current. The constant-current dynamo has hitherto been chiefly used for arc lighting, and as many as 60 lamps, each of 2,000 c.p., and requiring about 50 volts and 10 amperes, have been run in series off a single machine. As a rule, it is not necessary to vary the number of lamps on an arc circuit either all lamps or no lamps being required to be in use and, there- fore, the fluctuation of the current is not of much moment, and, in any case, would only increase or diminish the illuminat ing power. But with motors it is a very different matter. The torque of a given motor [see equation (16), T = a l& " a , K p. 43], depends simply on the current in the armature, if the field excitation be kept constant. In considering the action of motors in series on a constant current circuit, first let it be assumed that there is only one motor in the circuit, and that its field excitation is constant. The motor will run at a -stable speed, determined by the relative values of the torque, excitation, and current. Next suppose that the main current is decreased by the interpolation in the circuit of another motor, also with a constant field excitation. As soon as the current passes through the second machine its armature will start into motion, if the current be large enough to overcome the static resistance, and will steadily increase in speed until the counter pressure is just sufficient to permit the particular value of current to flow under the forward pressure ; or when where i m the main current, e = the forward pressure, E = counter pressure of the motor, and r = the resistance of the motor. CONSTANT CURRENT SYSTEM. 119 But if the torque be too large for the particular current and the excitation, the armature cannot move ; and the introduction of the second motor will increase the resistance of the circuit, and so lower the current, the immediate effect of which will be to stop the first motor, unless the dynamo is governed so as to keep the current constant. These effects are intensified by the fact that a constant cur- Tent dynamo or motor is usually series wound, and that con- sequently the field coils are traversed by the main current ; therefore, a variation of current affects the torque not only by virtue of its effect on the armature, but also by altering the -excitation. Thus the constant current motor (as well as the dynamo) requires a governor, controlled by the current or the speed, which will strengthen the excitation as the speed ^diminishes, and vice versd. The problem of running each motor independently of all others in series with it has been attempted by means of centrifugal governors, which, essentially, move a short-circuiting piece so as to cut in or out of circuit more or less of the winding, or else vary the resist- ance of a circuit placed as a shunt to the main exciting coils. The same end might be attained by means of a solenoid actuated by the main current, if only one motor were used ; but there do not appear to be any published accounts of prac- tical devices embodying this idea. The author has built a number of motors with centrifugal governors, which have worked satisfactorily enough on power circuits ; and in the United States similar motors are used on arc lamp circuits, but probably the number is not large. The power plant at Genoa is, at present, the most interesting illustration of con- stant-current working. It is noteworthy that the designers have found it convenient to control the pressure by vary- ing the speed of some of the generators, and by altering the excitation of others. But the motors are all controlled by governors which vary the field excitation. This plant is most successful. Evident objections to constant current working are the heavy field-magnets necessary to prevent stoppages with tem- porary overloading, and the difficulties of maintaining the K2 120 ELECTRIC MOTIVE POWEH. current constant. In cases where the load is constant, sucb as in driving ventilating-fans, for example, no governor is re- quired, and series motors are more convenient than parallel ones, since no starting resistance is necessary. And in cases where the excitation can be controlled by hand, as on tramcars, there is an apparent field for series motors on. constant current circuits. In practice, however, it is found that if more than three or four cars are worked in series the one with the heaviest load is likely to stop, and cannot be re-started until the load on the others is decreased. In fact,, the possible output of the dynamo is fixed by its speed and the arrangement of the brush-rocking governors, and there is only a limited number of volts free at any particular moment to deal with sudden temporary demands. As is well known, the load diagrams of tramcars show large variations occurring far too suddenly for the steam governors to control ;. and therefore, just when the dynamo should increase rather than decrease its speed, the engine is checked and an increase of pressure is impossible for the moment. The series traction system was tried between Gravesend and Northfleet from 1888 to 1891. There were two trams with, series motors regulated by hand, and a self-regulating constant current dynamo. No special difficulty was met with from the reasons just discussed ; but if there had been five or six trams the experience would have been similar to that of the Short Company and others in America. At the present moment there seems to be no probability of series traction competing with parallel. Some stress has been laid on constant current trans- mission because the system presents such favourable conditions for the conductor. Since the current is only fixed by the limits of pressure deemed advisable for the given work, it follows that in cases where the distances are considerable a current of few amperes can be chosen, and the copper wire be as small as mechanical considerations will' permit. And further, assuming the governors to work properly, two or more motors far apart from each other may be run in series without variations of load affecting the speed of either SERIES DYNAMO AND MOTOR. 121 through changes in the fall of pressure in the line. The con- stancy of loss in the line, i m 2 R, whilst advantageous as regards speed regulation, is objectionable from economic considera- tions, for the same quantity of energy is lost under all conditions of load. With parallel working, the line loss is roughly proportional to the load ; but the speed of the motors falls off as the load increases, owing to the loss or drop of pressure. Some means of compensating for this drop L.UU 450 400 350 .300 til o: 3 250 2 cc a- 200 ^ / ^ / ^ ^ *~ **' / X / 77 / 2 , // 100 5C 1 / I .*-- -" L ^.e** *"~* IO 20 30 40 50 60 7 MAIN CURRENT FIG. 56. Curve 1 is the internal characteristic of a series dynamo running at a constant speed. Curve 2 is the internal characteristic of a series motor designed to be driven by the dynamo. Curve 3 represents geometrically the summation of the resistances of dynamo, motor, and cables. Note that with series machines the field and main currents are the same. is necessary. The usual methods are referred to in 26, p. 142. A compromise between these two systems is found in a particular case of the series system in which high pressure, Small current, light conductor, line loss proportionate to load, 122 ELECTRIC MOTIVE POWER. and good speed regulation, can be obtained ; but it is only applicable to one dynamo and one motor. The necessary conditions are : Both machines must be series wound and designed for the same maximum current ; the dynamo must be run at a con- stant speed ; and the characteristics of the two machines must be such that the difference in pressure between the total E.M.F., E d> of the dynamo and the counter E.M.F. of the motor, E m (at least on the working part of the curve), is always equal to the pressure lost over the entire circuit, viz., line and internal resistance of the two machines. The idea will be readily grasped on reference to Fig. 56, in which the top curve connects the total dynamo pressure with the current, and the dotted curve shows the motor counter-pressure for cor- responding values of the same current. The difference between the heights of the ordinates is suggested by the dotted line at an angle to the abscissae, the slope of which is proportional to the total resistance of the circuit. It is not easy to fulfil exactly the conditions necessary to give a perfectly constant speed through a long range of the curve ; but there is no difficulty in a close approximation through, say, a current variation of about 60 per cent., and this is really all that is required in most cases, and no attempt is made to get a better regulation. When the load is taken off the motor the speed will increase by perhaps 15 per cent., but this is of little importance in general work. Fortunately, many power problems are capable of solution by this method, and no doubt its simplicity has done much to commend the use of electrical transmission of power. Further reference is made to it in the chapter describing actual plants, in which some figures taken from practice illus- trate the usual limits of speed regulation. 24. PARALLEL WORKING. The term " parallel " is applicable to a number of systems of distribution, in all of which the current is divided into- branch circuits, and the power is supplied to the distributing. PAEALLEL SYSTEMS. 123 mains at approximately constant pressure. The conducting circuit may be complex, and as it will be necessary to make frequent reference to its various parts, it will simplify matters to define the terms used. The feeding mains, or simply the feeders, are the large con- ductors which carry (high or low pressure) current to a central point of distribution, or to the nearest motor, in a simple parallel case. They may be long or short, according to circum- stances, but since their function is that of carriers only, they relate to the transmission part of the problem, and are distinct from the distributing network of mains. Feeders, therefore, are never tapped by branch connections. The distributing mains, or briefly the distributors, are designed to carry the current from a centre of distribution, i.e., the end of a feeder, to the service mains which supply each consumer. They vary in section and length according to the area to be served, and may form simple radial lines from the distributing station, or in some cases a complicated network looped at the extremities by ring mains. Distributors may be tapped at any point to supply current to consumers. The Service mains are the pairs of conductors connecting a motor or bank of motors (or lamps) to a distributor. The parallel systems suitable for power work are : (a) Simple parallel, reverse parallel. (b) Feeder system. (c) Three-wire system. (d) Multiple-wire feeder system with regulators. Inspecting Figs. 57 to 64,* which illustrate diagrammatically the several arrangements, it will be seen that the condition of constant pressure between the distributors is common to all, and that since the energy at any point is equal to the product ei m , it follows that variations of load have to be made by changing the current of the particular motor (or lamps). * Pages 124 to 136. 124 ELECTRIC MOTIVE POWER. This is exactly the converse of the series system of supply. The immediate effect of the variable current is to cause the loss in the mains (feeders and distributors) to vary with the load. This is an advantage, since the line loss is then roughly proportionate to the useful effect ; but it also causes the pres- sure at different parts of the line to vary inversely as the load, which is exactly the opposite of what is required. The line loss is expressed in watts by : I + i 2 . . . +4 2 R n , where i, i^ i 2 . . . i n are the several currents in different parts of the circuit, of which the respective resistances are R, RJ, R 2 . . . R n . And the fall of pressure in volts on the several sections is given by i R, i R I} i 2 R 2 . . . i n R n . FIG. 57. Incandescent Lamps in Series on High- Pressure Motor Circuit. The aim, then, in a parallel system is to compensate for the drop in the feeders, and to keep the pressure constant at the centre of distribution. There will remain a slight fall of pressure uncompensated for between this centre and the points of supply, i.e., the motor terminals. But this is practically unavoidable, and in most cases can be made so small as to give no trouble if sufficient copper be put into the service mains ; for then the product iR becomes so small, even at full load, as to be insignificant. The weak point in simple parallel working is that the pressure is limited by the voltage of the smallest motor, or that of the lamps run in parallel with the motors. In lighting circuits, where incandescent lamps requiring about 100 volts are mainly used, the pressure at the centre of distribution is necessarily about 100 volts, although at the station it must be higher by an amount determined by WEIGHT OF COPPER IN LINE. 125 the resistance of the conductors. In power circuits where lighting is of secondary importance the pressure on the distri- butors may be, say, from 300 to 500 volts ; and lamps may be coupled in series to make up the required voltage. Thus three incandescent lamps of 100 volts each may be coupled in series across a pair of mains having a pressure between them of 300 volts ; and, similarly, five 100- volt lamps may be placed across a 500-volt circuit (see Fig. 57). Raising the pressure of distribution permits a reduction in the weight of the copper, but at the same time introduces complications which require careful attention. In the first place, consider a constant length of conductor, with constant power at supply station, and let the pressure of supply be varied. As before : a = area of conductor. R = resistance of conductor = - k, where I = the length of a conductor and k is a constant. e = pressure of distribution. Then we have i 2 R = line loss ; - = the current density. a i R = drop of pressure in volts. e i = the power transmitted = a constant. Now, assume that the pressure is doubled, so that it may be presented by 2 e, then the is to be the same as before. represented by 2 e, then the current will be -, since the power The line loss will now be (-) R= , i.e., only one-fourth \2/ 4 i as great ; and the drop of pressure will be - R, or one-half. The section of the conductor may, therefore, be safely reduced. There are two cases of importance in practice. 126 ELECTRIC MOTIVE POWER. Firstly, when it is essential to keep the line loss, i 2 R, constant, In this case the new conductor need have only one-fourth of the area of the old one, but will have four times the resistance;. (" \ 2 - J 4 R = i 2 R, the same as before ; and the line drop will be ~ 4 R = 2 i R, or the same percentage drop as before, which is equivalent to saying that the line loss remains constant when the percentage of the line drop is kept the same for variations of supply pressure. It must be noticed that the current density has been doubled, for it is now equal to 1 _._ a _ i 2 ' 4 a Secondly, when it is necessary to keep the line drop,, i R, constant. This can be accomplished by using a conductor of half the area and twice the resistance, for then the drop = ^ 2R = ^R. And the line loss will be f~\ 2 R = z -^, or only one-half as great as before. The economic current ratio, -, is constant, for both current and a area of conductors are halved. Or, generally, when the line drop is kept constant for variations of supply pressure, the current density is also constant. The latter of these two cases is, perhaps, the more important with respect to the feeders, for in relation to them the economic current density is the chief consideration. And the ratio - should have the same value in both long and short a feeders, the drop of pressure in each being compensated for at the supply station. Strictly speaking, on the score of economy, the same considerations should determine the gauges of the distributors, but frequently the fall of pressure will be the only criterion, and then the conditions suggested in the first case will obtain, viz., a constant percentage of drop. If the current density, -, be settled, as it should be, in< a accordance with the economic law, the current varies as the DEOP OF PRESSURE. 127 area of the conductor, and the drop, i R, is simply proportional to the length of the conductor. For each pressure of supply and current density, then, there will be a definite distance through which the power can be transmitted for a given drop. This distance includes the feeders, the distributors, and the service mains, if the drop be measured from the dynamo to the. motor terminals ; but in most cases it will be convenient to consider the three drops separately. The fall of pressure for any section may be determined in the following manner if the current density, -, be fixed : a (23) And if / be expressed in yards and a in square inches (the most convenient and practical units for these calculations), then K will be the numerical value of the resistance of one yard of copper of one square inch in cross section, and will be approxi- 95-6 mately equal to - for ordinarv commercial samples. There- fore (24) From this equation, if we know the drop, we can find the possible length of conductor ; and if I be given, then the corresponding drop can be estimated. It will sometimes be more convenient to estimate the drop- in terms of the length of the section (measured along the conductors) rather than in terms of the length of conductor. To do this it is only necessary to put I equal to the length of the section, and multiply the right hand member by 2 ; thus 9 9Pvft iR, = 2L-. _ ...... (25) l a 10 6 If i'R = l, then J x will give the number of yards per volt drop for the particular value of the economic ratio -. a 128 ELECTRIC MOTIVE POWER. The following table shows the relation between drop and distance for various pressures and current densities : Table I. Tivo Wire Mains. Drop of 1 per cent. Current density in amperes Di.-tance in yards from the power station for a drop of 1 per cent, at the following pressures of supply. per square inch. 100 v. 200 v. 500 v. 1,000 v. 1,000 19-5 39-0 97-5 195-0 900 21-75 43-5 108-75 218-0 800 24-5 49-0 122-5 245-0 700 27-75 55-5 138-75 278-0 600 32-5 65-0 162-5 325-0 500 39-0 78-0 175-0 390-0 4 49-0 98-0 245-0 490-0 300 65-25 130-5 316-0 653-0 To find the distance for a drop of n per cent., multiply the distance in the columns against the given pressure and current density by n. In the above table the percentage of drop in the line and the current density are kept constant for pressure variations, both current and area of the copper varying inversely as the pressure of supply. The line loss, i m 2 R, will remain constant under these conditions. It is thus sufficiently clear that a parallel system requires conductors of larger section than is necessary for a series one ; and a compromise involving a series transmission and a parallel distribution is at once suggested. Let us examine the various methods a little more in detail. The simple parallel system is shown in Fig. 58. In this the whole of the current necessary for motors 6, c, and d has to traverse the two conductors included in the section of the line a b, and that required for motors c and d has to pass through section b c, while c d only carries the current for motor d. Now, the areas of the conductors in the several sections of the line will be suited to the maximum, or more probably the average, current required to pass through them. There will, therefore, be SIMPLE PARALLEL. a different pressure of supply at each of the points 6, c, and d. This in itself would not matter if the actual values remained- constant, but since the pressure of the line varies inversely as the current, it follows that the pressure will be lowest when the three motors are each absorbing their greatest current, and that it will vary at the several points of supply according to the current at each. Now, the speed of a motor is proportional to the pressure of supply for given currents, and therefore the speed will decrease as the load increases, from this cause, as well as from the drop over the internal resistance of the motor, which is necessarily greater with large than with small loads. This difficulty is enhanced if the distance from the dynamo to the first motor, from thence to the second motor, and from thence to the third motor, &c., be considerable. Indeed, in this FIG. 58. Simple Parallel System^ case a limit is very soon reached where the system hopelessly breaks down from the difficulties of regulation already re- ferred to, and from the cost of the copper required to keep the line drop and loss within practicable bounds. To fix ideas, suppose the maximum current to be carried in the feeders a b to be 100 amperes, and the current density in them to be selected such that one square inch of area of cross section of copper is allowed to every 500 amperes. Then, since the maximum current is 100 amperes, the area of the conducting wire will be x 1 = 0'2 sq. in. The resistance of this wire is 500 '2 2 of an ohm per mile, and if we assume t&e feeders a b to be one mile a very fair assumption for a transmission of power problem the fall in pressure from the dynamo to motor b will be 100x0-44 = 44 volts. Now, if the pressure at b be 100 volts, it is clear that that at the dynamo- mus-t be 144, and the 130 ELECTEIC MOTIVE POWER. line efficiency, assuming all the power to be absorbed at point 6, is only =-jT"*- or ^ P er cent> * fc * s nee ^ ess to sa J tnat a l ss i n the line of 30 per cent, is prohibitive in most cases. If the points c and d bo severally far removed from b and from each other the line loss h still further increased, and ultimately may become so large as to absorb the greater part of the total power. The apparent remedy is to raise the pressure. Let it be doubled (say, 200 volts), and the current consequently halved (50 amperes), and let the same section of conductor be used. The current being halved, the line loss will be one quarter as great, the fall of pressure will be halved, and the line efficiency becomes - or 91 per cent, at the point 6, and is correspondingly raised at points c and d. But the current FIG. 59. Reverse Parallel System. density in the conductors will be at the rate of only 250 amperes to the square inch, for the current is now only 50 amperes. This implies an extremely costly conductor for the current. Practically, a current density of from 500 to 800 amperes will usually be found to be about correct. If it be required to cause the pressure at different parts of the circuit to vary approximately equally, the arrangement shown in Fig. 59, which is sometimes useful in lighting circuits, may be adopted ; but the weight of copper in one of the feeders is evidently increased, and if the distance a b be at all consider- able compared with be and cd, the variation of pressure in the feeders may still be so great as to practically outweigh the better regulation gained over the distributors by the looped wire. The scheme at best is but an approximation, and only likely to be used in cases where the motors are not grouped FEEDER SYSTEMS. 131 but lie conveniently in a line. In practice, they are much more likely to lie in a group, and some point fairly equidistant from the majority of them will be selected as the centre of distribution. The pressure there will be maintained as nearly constant as possible ; and each motor or group of motors will be run on separate distributors, the areas of which will be so calculated with reference to their length and to the maximum or average current, that the maximum or average fall of pressure will be fixed between reasonable limits. This brings us to the feeder system (b) shown in Fig. 60' As before, D represents the dynamo, and a the power station if there be a number of dynamos in parallel; a b represents the 153 FIG. 60. Feeder System. transmission mains or feeders, b the centre of distribution and the point at which the pressure is to be maintained constant ; and c, d, e, f and g severally represent motors at the ends of distributors be, bd, be, bf, and bg. Let the pressure of dis- tribution be fixed at 300 volts at sub-station b, and let the feeder efficiency at full load be 90 per cent., a drop of, say, 30 volts being permitted along ab. The pressure at the power station will be 330 volts at full load, and will fall as the load is decreased until the smallest output is reached, when the pressures at the station a and the distributing centre b will be approximately the same. The fall of pressure in each of the distributors may be regulated according to the class of work and regularity of speed required an average drop of about 132 ELECTRIC MOTIVE POWER. five per cent, will usually be permissible for power work. The efficiency of the entire line will be, say, 85 per cent, under these assumptions ; but it must be remembered that the conditions selected are entirely arbitrary, and the economic limitations discussed in Chapter III. have not been taken into consideration in any way whatever. The next practical point bears on the limiting distances through which power can be efficiently transmitted. The two- wire feeder and distributor system (Fig. 60) has already been examined, and it is clear that the distance of transmission is practically fixed by the station pressure. Now, the pressure of the distributors cannot be greater than that permitted by the conditions of supply to the consumers 500 volts will Middle Wire. FIG. 61. Three-wire System. probably be the maximum. But there is no restriction to the pressure between the feeders, other than that of con- venience. The three-wire feeder system, shown in its simplest form in Fig. 61, meets this difficulty to some extent, for by its use the feeder-pressure may be doubled without raising that of the distributors. In this, essentially, two dynamos are coupled in series across the feeders, each giving, say, 500 volts and 50 amperes, and thus making a line pressure of 1,000 volts. At the end of the feeders two suitable motors are also coupled in series, and a third wire is coupled to the junction of the dynamos and also of the motors as is indicated in the diagram. The path of the current, when the motors are equally loaded, is shown by the arrow heads, and it is seen to be entirely con- fined to the machines and the two outer conductors, the middle THREE-WIRE SYSTEMS. 133 or third wire carrying no current. But if one motor absorbs more current than the other, the difference between the two currents will pass through the middle wire. Let i be the cur- rent in the circuit D 1 M x ; i 2 that in the circuit D 2 M 2 ; and i z that in the middle wire. Now when ^ = i^ then i.^ = ; and also when 1 >i' 2 , then i l -i^ = i y When i 2 is zero, i.e., when M 2 is not running, then ^ 1 = ^' 3 , and the middle wire has to carry the whole current in the circuit Dj M r In this case it is not advisable to make the middle wire of less section than the outer ones ; but if M : and M 2 each represent a group of motors, it is reasonable to assume that full load on one circuit and no load on the other will be unlikely to occur at the same time, and, therefore, the middle wire will have to carry only the difference between the two currents. In practice, with a load of lamps, it is found to be sufficient if the area of the middle wire be half that of one of the outer wires. And it should be recollected that if the distributing centre be a large one it will be provided with suitable switching arrangements for transferring part of the load on the distribu- tors from one circuit to the other, as may be necessary to secure a proper balance, and to keep the current in the middle wire as small as possible. Assuming the load to be so arranged that it will be generally divided nearly equally between the two circuits, it will be safe to follow the practice usual in lighting and to make the middle wire of one-half the area of the outer ones. This will permit a sufficiently wide difference of load in the two circuits to meet the requirements of practice. Now it is seen that for the same output from the power station the three-wire system requires twice the pressure and half the current necessary in the simple parallel systems shown in Figs. 58 to 60. And, if the same gauge of wire be used in the outer mains, the weight of copper in the three feeders will be 25 per cent, greater than that in the two, being in the ratio of 5:4. But since the middle wire is nominally idle, and the outer feeders carry a current which is equal to only half of that in the two-wire mains, it is clear that the power lost with the three wires will be only one- quarter of that with the two wires, and that the fall 134 ELECTRIC MOTIVE POWER. of pressure will be only half as great. For equal conductors and the same drop of pressure, the three-wire may be there- fore twice as long as the two-wire system ; and for equal line loss or feeder efficiency and the same percentage of drop, four times as long. And if the relative weight of copper for equal lengths and line drop be considered, since the area of each outside conductor is one-half, and of the middle conductor one- fourth, of the area of either conductor in the two- wire system, the ratio of total weights will be as 5 : 8, showing a net saving of 37 J per cent, in favour of the three-wire system. FIG. 62. Three-wire System in Feeders and Distributors. This system is evidently capable of extension. For if four wires be used and coupled to three dynamos and three motors, the pressure may be 1,500 volts over the outer feeders and the current only 33-3 amperes ; and if the outer mains have the same section as before, the distance through which the power may be transmitted with the same drop is again increased by 50 per cent., or is three times as great as that with the parallel system. And the weights of copper for equal lengths and line drop are as 5 : 1 2, when compared with the two-wire system. At Manchester a five-wire system has been erected for lighting, to the specifications of Dr. J. Hopkinson. The outer mains are at 420 volts, approximately, and between each pair there is & pressure of 105 volts. THEEE-WIRE SYSTEMS. 135 The three-wire system is applicable to the distributors as well as to the feeders, and is an important means of limiting the fall of pressure in the distributing network (see Fig. 62, which represents the disposition of feeders, distributors, and motors). It is apparent, however, that the three-wire feeder system, as well as the two-wire, ultimately reaches a limit beyond which it does not pay to transmit power ; for though the pressure may be raised almost indefinitely as regards the feeders, it is not so with the distributors 500 volts being probably a maximum for the supply service even in power work. rO M R) 500 t ) 1 o v Q M OM i Y Y 500 V 5 500 V -4 500 V M_ ONI M AM M o- FIG. 63. Feeder System with Regulator. A convenient combination of the feeder and multiple- wire systems consists of a pair of high-pressure feeders coupled to a regulator, which may be a motor having as many armatures as there are sub-circuits, and feeding each pair of distributors at the desired pressure. The general idea is represented in Fig. 63. In this diagram the armatures are sketched as if they were independent of each other. But in practice they are rigidly coupled or built on one shaft, and essentially run in magnetic fields of the same strength and direction or in a common field. The armatures are of identical con- struction, and their internal resistance is made as low as possible. The field excitation is preferably supplied from an independent source, such as accumulators, which may be L2 136 ELECTEIC MOTIVE POWER. charged in parallel across one of the sub-circuits at suitable times. Normally, when the load is equally divided between the sub-circuits, the four armatures absorb just sufficient current to overcome friction. But when one of the circuits takes more current than the others the armature in shunt to it will tend to lag. And the armatures in parallel with the other circuits will resist this alteration, and being coupled to the lagging armature will spend power in keeping the speed constant. Thus the lagging armature will be driven as a generator and supply the increase of current to its circuit, and the necessary power for the increase of torque will be supplied from the generating station. The degree of regu- lation attainable with this device depends on the internal resistance of the armatures ; and it can only be efficient when 3 1=1 ioo volts (M) (M) > -=r- i V V Volts.(M) 100 Volts FIG. 64. Feeder System with Accumulators. the pressure lost over the armatures is negligible. The regu- lator principle is capable of considerable modification, and is Jikely to be used, in various forms, for lighting in cases where the feeders are of great length. Secondary batteries have already been used with undoubted success in connection with feeder systems with sub-stations, by Mr. Crompton and others. The method is illustrated in Fig. 64. It will be apparent that the secondary battery acts as an accumulator as well as a regulator, and can be arranged to store up, during periods of light load, energy which will be available for temporary outputs exceeding the rated engine and dynamo power. In many cases also the accumulators can deal with the small loads during parts of the early morn- ing, and the steam plant may be shut down for that period. DYNAMOTOES. 137 It is probable that secondary batteries will be found profit- able for simple power work in some cases ; and for combined light and power they certainly are always worth serious con- sideration. The author believes strongly in the future of the storage battery, and insists upon its importance in all direct current installations when the output is intermittent, or the load factor small. 25. CONTINUOUS CURRENT TRANSFORMERS OR DYNAMOTORS. The continuous current transformer, motor generator, or dynamotor (Fig. 65, p. 138) presents some points of interest ior long-distance transmissions; for, when used in parallel, ^ach dynamotor forms an independent sub-station. The principle of the dynamotor has already been mentioned when considering regulators. The essential difference between the two machines is, that in the dynamotor the primary and secondary circuits are separate, whereas in the regulator they are connected. In its simplest form the dynamotor consists of a motor coupled to a dynamo, the motor being connected to the primary circuit, usually a high-pressure one, and the dynamo feeding the secondary circuit with a low-pressure current. Of various feasible arrangements the most common consists of two armatures mounted on one shaft and run in common field magnets excited in shunt from the low-pressure secondary mains. The magnets have a few series turns which are tem- porarily coupled to the primary circuit at starting. Or, the motor and dynamo windings may be placed on the same armature, and the commutators arranged one at each end, the field magnet details being as before (see Fig. 65, p. 138). These machines are adapted for parallel working, and have been used by the Electric Construction Company at the Crystal Palace and Oxford Central Stations and elsewhere. They are placed at the distributor end of high-pressure feeders, and feed the distributing network with current at a pressure of about 100 volts. Each dynamotor forms a sub-station. The general arrangement is illustrated in Fig. 66. It will be seen that the transformers feed into different parts of a network of 138 ELECTRIC MOTIVE POWER. DYNAMOTOE SUB-STATIONS. 139 distributing mains. The proportion of the total current given out by any one transformer depends simply upon its pressure, and since voltmeter wires are taken from each point to the central station it is easy to alter the pressure of the feeders, and consequently that of the distributors. By this simple means the load can be divided as desired between the dynamotors, the number of which in use at any time can also be readily controlled. Thus supposing it is necessary to start a fresh dynamotor at, say, Volts Volts. A A (M) (M) X X A gfl/j , V ?> Sr ) p (M) (M) ; $ -vl O-,>J- FIG. 66. Dynamotor Parallel Sub-Station System. sub-station b v the field of the machine is first excited, then the armature is started and the pressure adjusted approximately to that between the distributors to which it is to be coupled. The circuit between the dynamotor and the distributors is next closed, and finally the pressure is raised at the station end of the feeder until the dynamotor has its proper share of the load as gauged by the feeder current. A dynamotor is removed from the circuit in a similar way, the feeder pressure 140 ELECTRIC MOTIVE POWER. being lowered until the feeder ammeter shows only the exciting and friction current; the distributor circuit can then be opened without sparking or disturbing the pressure of the distributing network. The whole of the necessary switching and regulating can be done from the power station. It may, however, fairly be questioned whether parallel dynamotors present any real advantages for power work, or for installations in which power work is of more importance than lighting. For it is evident that the feeders can be brought close to the motors in most cases by means of one of the multiple-wire and feeder systems already described. Yet the author has found dynamotors to be of use as a detail in certain cases, especially where the pressure of the main distri- butors (500 volts) is too high for the small motors, or where from any other cause it is deemed to be unsafe to carry the high-pressure mains into certain parts of the area of supply. A dynamotor may then be driven off a pair of distributors to deliver power at a suitable pressure, as at the Greenside Lead Mines. The author drew attention to this field for continuous-current transformers as far back as 1889, and he has already installed several for running rock drills, and also for working electric locomotives inside mines with bare overhead conductors. Dynamotors with the primary circuits in series and fed with a constant current are not, in the author's opinion, likely to prove of much use in practice ; for the arrangement requires the secondary circuits also to be in series, and governors would probably be required to control the field excitation. But there are a few cases, perhaps, where series dynamotors might prove commercially profitable. The general scheme for series coupling is illustrated in Fig. 67, which is sufficiently explanatory to show the chief features. It will be seen that the system has all the drawbacks of a simple series transmission, and although some economy may be obtained in the weight of the conductors, yet, since the loss in both primary and secondary conductors is necessarily constant and independent of the useful load, the system can- not be economical unless the load factor is very high. The difficulties attending its use are further increased by the fact that the dynamotors are necessarily designed for the DYNAMOTORS. 141 maximum power of the motors, while the average output is not likely, except in special cases, to exceed, say, 50 per cent. of this. If it were possible to run the primary circuits in series at constant current, and to feed the various secondary circuits at constant pressure, dynamotors would combine the advantages of the series system as regards the transmission mains and that FIG. 67. Dynamotor Series Sub- Station System. of the parallel as regards proportionality of line loss to load in the distributing circuits. But the solution is too complicated for practical consideration. And, moreover, the author is strongly of opinion that, assuming such a scheme to be practicable, it would not be so economical, all things being considered, as a two-wire feeder and multiple-wire distributor system, with or without regulators, unless the load factor were very high a rare thing indeed, even in power work. 142 ELECTRIC MOTIVE POWER. 38. COMPENSATING FOR FALL OF PRESSURE ON FEEDERS AND MAINS. In the preceding description of continuous current systems of transmitting power, it has been assumed that the pressure at the distributing centre the sub-station or sub-stations can be maintained practically constant. This is evidently a necessary condition of satisfactory distribution either of power or light. In order to secure it the pressure of supply at the 500 1 . a . -i ... .. " b - j - ' 1 400 1 2 350 P ^ 300 CO CO e 2 D 260 CO h e, < 200 UJ cc CO Ul Q. 100 50 | i 1 2 3 4 5 O 6 7 j CURRENT IN FEEDER. FIG. 68. liising Characteristic for Compensating for Fall of Pressure in Feeders. power station must vary in some definite ratio to the output. (It has already been shown that the rise of station pressure is simply proportional to the resistance of the transmission feeders and to the current in them.) The easiest way of accomplishing this end in a small installation with one dynamo is to over- compound the dynamo so that it gives a rising characteristic. See Fig. 68, where a b shows the characteristic for constant DYNAMOS IN PARALLEL. 143 pressure, and ac that required to compensate for the loss in the feeders. The number of volts lost over the feeder resistance is given by the heights of the ordinates between ac and ab; e l being the pressure at the sub-station, and e 2 that at the power station. Shunt excitation is only practicable with moderate pressures, and, speaking broadly, is not advisable with terminal pressures of more than about 350 volts, although the author has found it convenient to run compound dynamos at even 600 volts. In such cases it is necessary to subdivide the shunt winding as much as possible, and to use extra precautions in insulating FIG. 69. Compound Dynamos Coupled in Parallel. the coils ; and further, to guard against lightning discharges, which are a frequent source of injury to shunt wound dynamos coupled to power circuits (see 21, page 102). If two or more compound dynamos be run in parallel, it will be necessary to connect the machines at three points, i e., at the positive and negative brushes, and also at the extremities of the series coils, as shown in Fig. 69. This coupling will tend to divide the load between the dynamos according to their designed out- put, and help to ensure that all the machines give the same pressure at any load. Yet, since compounded dynamos, even 144 ELECTRIC MOTIVE POWEE. if of similar design, fail to give characteristics of exactly the same slope, it follows that the output may not be properly divided between them. To obviate these difficulties central station dynamos are generally separately excited by small dynamos specially arranged for the work. The plan which is the most flexible and allows most scope for regulation of load and pressure is to excite all the dynamos in parallel through separate variable resistances for each set of field coils, as represented in Fig. 70. By these means the pressure of any dynamo can be varied, and its output altered, at will. Fuse. Feeder. FIG. 70. FIG. 70. Diagram showing three separately excited dynamos coupled in parallel and supplying current to one pair of feeders. Dj, Do, D 3 , dynamos. F.M.J, F.M. 2 , F.M.3, Field Magnets. E, Exciting dynamo. E^, R.,, R 3 , Regu- lating resistances in series with field magnets. A], A 2 , A 3 , Ammeters for reading current given out by each dynamo. Vi, A^oltmeter for reading the separate pressure of the dynamos. V 2 , Voltmeter for reading pressure at sub-station. If the load varies slowly the regulation for fall of pressure on the feeders can be adjusted by hand, as occasion requires, by simply altering the resistances. But if the work necessitates rapid fluctuations of load, and consequent changes of pressure, then a few series turns may be wound round each of the MOTOR REGULATORS. 145 field magnets and the main current of the particular dynamo caused to pass through it. By this simple means the pressure can be regulated sufficiently well for most purposes. Another method rapidly coming into favour involves the use of a series dynamo, both the field and armature of which are placed in series with the feeder whose pressure is to be regulated, the dynamo being driven at a constant speed. Since a series dynamo running at uniform speed gives a pressure proportionate to the current, it follows that when it is to be used as a regu- lator it must be designed so that with the minimum current in the feeder (and consequently through its windings) it will generate pressure just sufficient to drive the current. Then as the feeder current increases it must give a terminal pressure equal to the drop due to the feeder resistance. These conditions require a straight line characteristic, and therefore the weight- output efficiency is small. Machines used for regulating may be placed either at the dynamo station or at the distributing end of the feeder ; and they are frequently driven by shunt- wound motors. Mr. W. B. Sayers' self-exciting dynamos are specially suited for this purpose, as in them the field excitation is provided by the armature reactions; and the difficulty of controlling sparking with the weak field is entirely obviated by the use of commu- tator coils. One of these regulators is in use at the Bradford Station Hotel, and is found to compensate for the drop in the mains with great exactitude. The relation between the current and the terminal pressure of the regulator, in this case, is shown in Fig. 71, p. 146, which is taken from a Paper by Mr. W. B. Sayers, entitled " The Prevention and Control of Sparking and Self Exciting Dynamos."* It will be observed that at 10 amperes the pressure is about 0'4 volt, which is just sufficient to drive this current through the armature coils. And at the maximum load of 350 amperes the regulator adds 13 volts to the pressure of the mains. A modification of this idea has been successfully applied to a three-wire system. In the case in point two armatures are * Proceedings of Institution of Electrical Engineers, Vol. XXII., Part 107. 146 ELECTEIC MOTIVE PoWEE. coupled on the same shaft and fitted with separate keepers or fields, the current in one of each of the outer mains passing through one of the armatures, and that in the middle conductor through a few turns of wire wound around the keepers. By this means the pressure between the middle conductor and each of the outer mains is kept practically constant. An objection to the dynamotor regulator is the Initial cost, which will be sufficient in many cases to prohibit its use. Automatic regulators, depending on variations of pres- sure or current, have been tried from time to time, but 12 10 Y 40 80 120 160 200 240 280 320 360 Amperes. PIG. 71. Curve showing Relation between Volts and Amperes with a Savers' Regulator. their use has not been attended with much success, and in most of the present central lighting stations hand regulation is found to be preferable. The objection to mechanical devices which depend on minute changes of pressure or current to work them is the delicate construction of the mechanism. Since they work by reason of the very error which they are designed to correct it is obvious that makers will arrange things so that the smallest possible variation will cause a maximum MO TOE EEGULATORS. 14? effect on the moving parts, which are necessarily light and delicate. From very slight causes, such as dust, thickening of oil in bearings, &c., a large increase of power may be required to move the governor, and the pressure or current may vary by a dangerous quantity before it comes into action. The author is in favour of separately excited dynamos with hand regulation for most transmission of power cases ; and of compensating series excitation by the main current when the load variation is too irregular for hand adjustment. Motor regulators will generally be found to be unnecessary and too costly for trans- mission of power plants. CHAPTER V. SINGLE-PHASE ALTERNATORS AND ALTERNATE CURRENT MOTORS. 27. General Features ; Classification of Types of Machines. 28. Maxi- mum, Instantaneous, Average, and Effective Values of Harmonic Functions ; Ratio between Effective and Average Values ; Equa- tions for Electromotive Force ; Pitch of Poles and Coils ; Diagrams of Typical Alternators ; Self-induction of Armature Coils ; Equation for Self -Induction. 29. Impressed, Dynamic or Working, and Condenser or Wattless Currents ; Relation between Phases and Magnitudes of Pressures and Currents; Power Measurements; Effects of Current Lag. 30. Effect of Iron Cores ; Power Wasted by Hysteresis ; Effect of Frequency. 31. Design of Alterna- tors ; Magnetic Density ; Effect of different Shapes of Pressure and Current Curves ; Peripheral Speed. 32. Excitation ; Parallel Working ; Critical Field Current of Alternators and Alternate-Cur- rent Motors. 33. Self-Starting Single-Phase Current Asynchronous Motors. 27. GENERAL FEATURES ; CLASSIFICATION OF TYPES OF MACHINES. IN Chapter II. the general principles of dynamo design were discussed with special reference to continuous currents, because these are at present in more general use for power transmission than alternate currents. The reasons for this preference are made clear in the sequel, and practical deductions drawn from experience are used to suggest the probable systems of the future. Now, it is necessary to examine the alternator, both as a dynamo and as a motor. This chapter is confined to the consideration of single current machines, because these have already established a justly wide reputation for lighting, and also for certain cases of power transmission, while the multiple current systems are not so well known, although 150 ELECTRIC MOTIVE POWEE. they possess many features that render them especially suitable for the distribution of power. An alternator may be defined as a machine giving periodic electric currents which are reversed in direction many times per second, the number of complete changes per second being called the frequency of the current. Most types of the modern alternator have a series of salient pole pieces arranged symmetrically around the axis of the shaft and excited by a continuous current derived from an independent source, or else by a redressed current. The armatures have also a series of coils, with or without iron cores, the number of which is either equal to, half as great, or twice as great, as that of the pairs of field poles. The current induced in them is of course alternating in direction, with a period depending simply on the number of pairs of poles (i.e., pairs of N and S poles) in the field coils and the number of revolutions per second. Thus the frequency, usually expressed by the symbol ^u , is equal to p , where p is the number of pairs of field poles and n is 60 the number of revolutions per minute. This cyclic change in the armature currents is produced by causing the magnetic in- duction through the coils either to alternate rapidly in direction, or else alternately to increase and decrease in density. These distinctions divide alternators into two classes (a) Alternators in which the magnetism changes in direction, and consequently passes through all values of density between a positive and a negative maximum ; (b) Alternators in which the magnetism is of constant direc- tion, but alternately increases and decreases in density, vary- ing between the maximum and a lower limit depending on the design, and which is always nearly zero. The first class is the older, having been devised by Wilde in 1867. Frequently the field-magnets consist of two opposing crowns of poles of alternate sign, between which the armature coils revolve, as in the old Siemens alternator and the modern Ferranti machines; or the cores are spaced radially around the FIELD MAGNETS OF ALTERNATORS. 151 inside of a cast-iron ring, forming the yoke of the field-magnets, with the faces of the poles pointing to the axis of the shaft ; a nd the armature coils are laid flat on the periphery of a drum- shaped core, and so face the field-poles, as in the Westinghouse and Giilcher machines. In the two examples just referred to the field-magnets are stationary, but in some designs they revolve inside the arma- ture coils, which are then fixed radially so as to form an outer ring, with the faces of the coils opposite to the field-poles. A FIG. 72. Field Magnet of Mordey Alternator. recent development of this type of field-magnet is C. E. L. Brown's multiphase alternator, in which the armature is stationary and the field-magnets are excited by a single coil. The Lowrie-Hall alternator also has revolving field-magnets, but each of the poles has a separate exciting coil. The second class (6) is of comparatively modern development, and is most familiar to us in the Brush alternator, the field- magnet of which is shown in Fig. 72 and the armature in M2 152 ELECTRIC MOTIVE POWER. Fig. 73. In this case the armature is stationary. This arrange- ment, although not typical of the particular class, is very common with the alternators of many makers, as it offers facilities for coupling up the armature coila in different groups FIG. 73. Armature of Mordey Alternator. without the complication of brushes. The field-magnets con- sist of two crowns of pole-pieces, but all the poles on one side are N poles, and on the other all are S poles, not alternately N and S, as in type (a). VALUES OF HAEMONIC FUNCTIONS. 153 28. MAXIMUM, INSTANTANEOUS, AVERAGE, AND EFFECTIVE VALUES OF HARMONIC FUNC- TIONS ; RATIO BETWEEN EFFECTIVE AND AVERAGE VALUES ; EQUATIONS FOR ELEC- TROMOTIVE FORCE ; PITCH OF POLES AND COILS; DIAGRAMS OF TYPICAL ALTERNATORS; SELF-INDUCTION OF ARMATURE COILS; EQUA- TION FOR SELF-INDUCTION. It will be apparent that the laws which govern the deter- mination of the excitation for a given magnetic flux in continuous-current machines are equally applicable to the alternate-current designs, it being necessary, however, to modify the equation for the total electromotive force of the armature, and to arrange suitable current densities in the copper and magnetic densities in the iron. These modifications are of importance, and require elucidation. The total armature im- pressed electromotive force, V imp , may be expressed in terms of the number of turns, the number of lines of force per pair of poles, and the number of revolutions per minute, as in the con- tinuous-current machine in equation (6), p. 18. But since the pressure is periodic, and therefore changes in value through each cycle, there will be a maximum pressure considerably greater than either the effective or average value. It is evident that both the pressure and current have all values between zero and a maximum (one positive and one negative) twice in every period, and it is, therefore, necessary to define what is understood by the terms alternating pressure and current. In practice we require to know the effective* values, and not the maximum or instantaneous values. The readiest means of comparing the effective values of an alternating and direct current is afforded by the several heating effects produced in a wire of known resistance having no self-induction. When the heat caused by the current is the same in either case, then the effective pressure of the alternate current is equivalent to the continuous pressure. * Prof. Silvanus P. Thompson prefers to use the older term, " virtual " value. 154 ELECTRIC MOTIVE POWEE. Instruments which depend on the heat waste, i 2 R, are cali- brated by continuous currents, the effective values of which are proportional to the squares of the uniform currents, and therefore the readings of the instruments are proportional to the square root of the mean square of the currents (usually written \/niean square). For example, the heat produced by a continuous current of 10 amperes is proportional to 10 2 , and the readings of an ammeter of the dynamometer type placed in the circuit are proportional to \/i0 2 . If the same instrument were placed in an alternate-current circuit and gave the same deflection, the ^mean square value of the current would be as before, 10 amperes, and this is called the effective strength of the alternate current. This /s/mean square value is independent of the shape of the curve, which, however, determines its ratio to the maximum value. FIG. 74 Sine Curve of Pressure or Current. If it be assumed that the pressure and current are harmonic functions of the periodic time, the curves of either will be sinusoidal, and may be expressed by an equation of the order y = a sin t, where y is the instantaneous value of the pressure or current, t is the time of one period (it is most conveniently reckoned in angular measure), and a is a constant numerically equal to the maximum value of y, which occurs when 7T , 7T -. * = -, for sin -=1. Fig. 74 shows a sine curve of wave length t. The ordinates y l and y. 2 may represent either values of pressure or current, at the corresponding instants ^ and t 2 . The arithmetical mean value of the ordinates y v y^ y, &c., n for the first half of the curve in Fig. 74 is times that of the 7T VALUES OF HARMONIC FUNCTIONS. 155 maximum ordinate ; or the average value = 0'637 times the maximum value. But the total heat generated per second in the wire is a numerical measure of half the square of the maximum ordinate of a simple periodic current ; for the mean of the squares of the sine, either for one quadrant or a whole circle, is one-half of the square of the maximum value, or ~ a - . And therefore 2 instruments depending on the estimation of the heat waste will measure- = - 707 of the maximum value of a N/2 periodic current or pressure.* And the continuous current which will give the same deflection on the instrument, that is, the same heating effect, is equal to j= times the maximum value v2 of the alternate current. Therefore, an alternating current, if it follow the sine law, will cause a heating effect greater than that of a continuous current of the same average strength by the ratio of 0'707 to 0'637, that is, about 1*1 times greater. In these pages when an alternate current or pressure is referred to, unless otherwise stated, it is assumed that effective values are understood, and that pressure measurements are made by hot wire or electro- static voltmeters, and currents are read by dynamometers. The effective value of the total armature electromotive force may be written V e = &N a C a ^10-s . . , . (26) if all the coils are in two parallels, or V e = 2&N a C aP ^10-3 .... (27) if they are in one series. * For a more complete explanation of the interesting phenomena of alternate currents reference should be made to " The Alternate Cur- rent Transformer, in Theory and Practice," by Dr. J. A. Fleming, F.R.S. 156 ELECTRIC MOTIVE POWEE. The symbol V e = the effective pressure in volts, p = the number of pairs of poles, n = the number of revolutions per minute, N a = the magnetic flux from one pair of poles, C a = 2pw, where w = ihe number of active conductors on one side of one coil; or, briefly, C a = the number of turns counted all round. The symbol k requires special explanation. The quantity expressed by Jc is a constant for the particular arrangement of pole-pieces and armature coils ; it is the ratio between the effective and the average pressures. If the pressure curve obeys a sine law (it does very nearly in many types of alternators), k = I'l, and this value may be taken in most rough approximations. The equations for the electromotive forces of alternators, assuming a sine laiv to be followed, may be written thus : Two parallels : average total volts = N a C a p 10~ 8 . . (28) 60 One series: ,. = 2N a C a 10~s . (29) Two parallels: maximum = 7 L N a C a /? 10~ 8 . . (30) One series: =TT N tt C a /> ^ IQ-s. . (31) Two parallels : effective =_^ N a C a ^ - 10~ s (32) 2 x/2 One series: = ^ N a C a/? ^ 10~s (33) The numerical value of the constant in equation (32) is approximately 1*1. In equation (33) for series coupling the coefficient must be twice as great as that in equation (32), if the same value of C a be retained, and it is therefore equal to 2x1-1 = 2-2. In practice it is found to vary between 2*2 and 2-3 when the coils are all in series. SHAPES OF PRESSURE CURVES. 157 The pitch of the pole-pieces and the width of the armature oores are of great importance in designing alternators, for they affect the shape of the pressure curve, and consequently the effective pressure and the output. Four of the more frequent Aperture. immiHmm fs/ /// isi m% - Coil -- FIG. 75. Diagram of Typical Alternator giving a Triangular Pressure Curve. arrangements are illustrated in Figs. 75, 76, 77 and 78, which it will be necessary to examine carefully before proceeding with the calculation of the output. In these diagrams the field poles are Pitch hi of Coil. *\ Core. FIG. 76. Diagram of Typical Alternator giving a Flat-Topped Triangular Pressure Curve. developed horizontally, and the polarity is indicated by capital letters. The winding and bare spaces on the armatures and the apertures of the coils are clearly marked. The pitch of the field poles is equal to half a wave length, and, therefore, in 158 ELECTRIC MOTIVE POWER. Figs. 75, 76 and 78, it is equal to the angular width of one pole and one space ; whilst in Fig. 77 (which refers to the Brush alternator) it is equal to that of one pole only, for there the spaces, strictly speaking, act as if they were poles of opposite sign to those hatched in the diagram. It will be noticed in this case that the armature coils are twice as numerous as the pairs of field poles. _ Pitch ^ ^poie-.* Aperture. FIG. 77. Diagram of Typical Alternator giving a nearly Kectangular Pressure Curve. Below each figure is the theoretical shape of the pressure curve in full lines, determined on the assumption that there Armature Core. M Ooil. - 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Agerture FIG. 78. Diagram of Typical Alternator giving a Triangular Pressure Curve. is no magnetic leakage between the poles, and, therefore, no magnetic fringe at the corners of the pole-pieces. This is not the case in practice, and the actual curve will therefore be less angular, and approximate more or less closely to sine curves, as shown in dotted lines. This is easily seen to be SHAPES OF PRESSURE CURVES, 159 the case with Figs. 75 and 76, and practically it is found that the design in Fig. 77 gives an almost perfect sine surve. In tracing the pressure curve for any arrangement of pitch and angular width of poles and coils the zero points may be first determined and marked off on the line a b, which shows the angular position of the coils. Having found these points the wave-length is known, and the positions of maximum pressure should lie midway between the zero points. . If the winding spaces are exactly equal to the width of the poles, then, assuming no magnetic fringe, the intermediate values lie in straight lines, joining the maximum and zero points as in Figs. 75 and 78. The height of the maximum ordinate depends on the scale selected, but its numerical value can be found from the known magnetic flux and the linear speed of the coils. In these diagrams an arbitrary height has been selected. If the coils be in one series, and a simple zigzag curve be assumed, then V max = 4 C a N a , ID-* volts, . . . (34) where the maximum pressure is assumed to be twice the aver- age pressure. If the winding space be shorter than the polar width, then the maximum pressure will be maintained for that period of time during which the coil as a whole is passing under the pole piece. Thus, if the polar arc be lOin. in width and the winding space only Sin., then for the fraction of time required for the coil to move through the angular dis- tance of 10-8 = 2in., the pressure will have the same value, and hence the top of the crest will be flat, as in Fig. 76, which refers approximately to the design of the Kapp alternator. In some designs the coils are made to exceed the poles in width by a small percentage, the arrangement being found to give a very close approximation to a sine curve. Prof. Elihu Thomson is in favour of such proportions. The Giilcher alternator, designed by Mr. W. B. Esson, also embodies this idea, but the armature coils are only half as 160 ELECTRIC MOTIVE POWEE. numerous as the field poles, and are equal to the width of three and a-half poles. There is a distance piece between the FIG. 79. Dia^ian of Typical Alternator showing a Stepped Pressure Curve. V s j? ma> FIG. 80. Diagram showing Effective Pressure Sine Curve. coils equal to half a pole, the pole being of the same width as the space (see Fig. 79). The theoretical curve of pressure is SHAPES OF PRESSURE CURVES. 161 here shown in full lines, and a sine curve is indicated by dotted lines. It is evident that this arrangement approximates very closely indeed to the necessary conditions for obtaining a sine function. The curve of pressure for any arrangement of pole pieces and armature coils can be traced approximately, and then it is easy V 7 max O X FIG. 81. Diagram show n? Effective Pressure Triangular Curve. to determine the effective pressure with sufficient accuracy for practical purposes. Consider the sine curve in Fig. 80. The half wave length is equal to, say, OX, and V max equals the maximum ordinate. Now, bearing in mind that the instruments used for measuring alternate currents give readings proportional to the ^/mean square, it is necessary to square the ordinates of OVX and plot a new curve on the same base, and then to find the mean ordinate, say V e 2 , of the squares. The 162 ELECTEIC MOTIVE POWER. square root V e will be the effective pressure. This can be readily found for most symmetrical figures by integration ; but many engineers prefer the graphical method, which is as follows : Plot the curve to any convenient scale on squared paper and divide the base line X into any number of equal parts the more the better. Measure the heights of the ordinates at the middle of each and divide the sum of their values by the number of parts : the result is the numerical Talue of the mean square, V e 2 , in the selected units. Next V ? max FIG. 82. Diagram showing Effective Pressure Semicircular Curve. extract the square root, and then the effective pressure, V e , js known. It will be seen that for a sine curve V, = 0707 V max . The same operation has been performed in Fig. 81, for the triangular pressure curve OV max X, and the value of V e is found to be 0'58 of the maximum pressure ; or Thus equation (34), which gives the value of the maximum pressure with a simple zigzag curve, must be multiplied by EATIO OF EFFECTIVE TO AVERAGE PRESSURE. 163 0'5S to equal the effective pressure. Therefore, if the coils be in one series, since 2-320.^^10-8 (35) And if the coils be coupled in two parallels, then the effective pressure is half as great as the value given by (35). In Fig. 82 the same operation has been performed for a semi-circular curve, and it is found that V e - 0-835 V The relation between the effective and average values, for the more common curves, and the theoretical values of k are shown in Table J : Table J. Order of curve. Average value as a decimal of the max. ordinate. Effective value as a decimal of the max. ordinate. & = llatio of effective to average value. Sine 0-637 0-707 1-1 Semicircle 0-7854 0-855 1-063 Triangle 0'5 0-58 1-16 Rectangle ro ro ro The above values will not all be realised in practice, since the magnetic fringe will cause the angles to be rounded. The slope of the curves will also be largely affected by the pitch ratio of the poles and coils. The shape of the coils is also important in determining the pressure curve. For example, a rectangular coil will tend to give a very rapid increase and decrease of pressure, because it will become instantly active or inactive; while a coil of rounded form will cut the lines of force in steadily increasing or diminishing numbers. 164 ELECTRIC MOTIVE POWER. There is some difficulty in finding the actual value of fe in practice, since the exact magnetic density B" a is not easily found without special experimenting. The designer, of course, knows the calculated value of N a , and consequently B" a , and then from the measured pressure may calculate k with a fair degree of approximation to the truth. But if a small test eoil be arranged so as to explore the gap at various places, then the average value of B" a may be readily found ; this, however, is not an easy thing to do in an ordinary shop with workshop instruments. Mr. Kapp has made a special study of the coefficient Jc, and the following table is based on his researches. The windings are assumed to be in one series, and the width of the poles and coils is expressed in decimals of the pitch. Table K. Proportions of Field-Poles and Armature Coils in Terms of the Pitch, and Consequent Values of k. Kef. No. Pitch. Pole. Total breadth of copper in each coil. 2Jc. 1 1 1 1 (covering whole surface) 116 2 1 1 0'5 (covering half surface) 1-635 3 1 0-5 1 (covering whole surface) 1-635 4 1 0-62 0'5 (covering half surface) 2-06 5 1 0-5 0"5 (covering half surface) 2-30 6 1 033 0'33 (covering third of surface) 2-832 7 Sine Function 2-22 Nos. 4 and 5 approach most nearly to designs found in practical machines. Having thus determined the total effective pressure of the alternator, it is easy to find the terminal effective pressure. This will be given as for continuous currents by equation (5), page 18. Thus, if arbitrarily chosen in this case and the dynamic current leads the impressed FIG. 87. "Work Diagram Current lagging 45deg. in Phase behind Pressure. current by the same angle <, while the wattless current lags behind it by the angle 6. It is also apparent that the greater the difference in phase between the impressed pressure and impressed current the greater the magnitude of the wattless current. The import of this will be more readily appreciated by reference to Figs 86 and 87, which show respectively curves of instantaneous values of pressure and current coinciding in phase in Fig. 86, and the same curves differing by 45deg. in Fig. 87. The work performed in each cycle, corresponding to products of V&', is shown in the shaded areas bounded by dotted lines, the ordinates of which are simply proportional to the pro- MEAN POWER. 171 duct of the corresponding ordinates of V and i, with due regard to the algebraic signs. The curves beneath the time line are considered as of negative value ; and, since the product of two negative quantities is algebraically positive, the work areas are chiefly positive or useful. In Fig. 87 the small negative areas denoted by negative signs must be subtracted from the positive areas when estimating the total or mean power, We are now in a position to deduce the equation for the mean power. It has just been shown that the mean power is simply the product of the impressed effective pressure and current, as measured by a hot wire voltmeter and a dynamometer, if there be no difference of phase. If there be a phase difference, then the expression must be multiplied by some function of the angle of phase. Referring to Fig. 85, p. 168, it is clear that the mean power is proportional to AO. FO, or to BO. CO ; or to the product of V imp i& or ^ imp V d) all being effective values. Now AO.FO = AO.COcosAOB. = V imp i imp cos <, and B . C = A . C cos A B. = V imp 4np COS <. And if we consider the maximum values, since V - /*> V max v v e ) mean power = Vm " >""> l^jw C os . = Y Vmax imp Vax imp COS . The effective values are practically the only directly measur- able ones, and therefore it may be stated finally that Mean power = V imp i imp cos <. . . . (41) It is evident that if the angle < be large the power may be relatively small, although the product of impressed pressure and current be considerable. And it is also seen that a large angle of lag is detrimental in two ways : 172 ELECTEIG MOTIVE POWER. Firstly, it decreases the output for a given plant, i.e., lowers the plant efficiency, and Secondly, it increases the heat waste in the copper of mains and machines. 30. EFFECT OF IRON CORES ; POWER WASTED BY HYSTERESIS ; EFFECT OF FREQUENCY. There is considerable difference of opinion as to whether an alternate-current armature should have iron cores or not. In the thin disc type there is no doubt that iron is inadmissible, as the armature would inevitably be drawn out of flat and jammed against the pole-pieces ; but in drum and Gramme-wound machines there is no mechanical reason why the magnetic re- sistance should not be decreased by a liberal use of thin iron plates. But the magnetic density must be kept low or the losses from hysteresis will be serious : B" a must not exceed from 40,000 to 65,000. And iron cores are said to have the effect of reducing the loss from eddy currents in the copper. Re- garded from a purely mechanical standing, the author is of opinion that the iron-cored drum-wound type of alternators, such as those built by the Westinghouse and the Giilcher com- panies, are the better adapted for power purposes. The Brush and Ferranti armatures, compared with these, are fragile in make, and appear to be much more likely to give trouble. The experience of Continental and American engineers seems to confirm this, and the gradual development of multiphase alter- nators with iron cores undoubtedly points in the same direction. From a purely electrical point of view the Mordey alternator is almost perfect, and certainly possesses the important feature of a high efficiency of conversion at light loads a most impor- tant consideration with some kinds of work. On the other hand, it is an undoubted fact that the light-load efficiency of many of the iron core alternators is extremely low. In designing alternators with iron in the armatures it is always important to estimate the power which will be wasted in simply magnetising and demagnetising the cores, as this will be suffi- HYSTEEETIG LOSS. 173 ciontly large to be comparable with the copper loss. Table L, which is calculated for 50, 83, 100, and 130 periods per second, gives the data necessary for most practical cases. Table L. Power Wasted by Hysteresis. B" Watts Watts Watts Watts B C.G.S. per square wasted per cubic inch. wasted per cubic inch. wasted per cubic inch. wasted per cubic inch. men. ^=50. r^=83. r\,=100. <\> = 130. 4,000 25,800 0-116 0-192 0-232 0310 5,000 3;,250 01665 0-277 0-333 0434 6.000 38.700 0-2165 0-360 0-433 0-564 7,COO 45,lfiO 0-2575 0-444 0-555 0-695 8,000 51,600 0-3 '05 0-532 0-641 0'832 10,000 64,500 C-450 0-743 0-900 1-170 12,000 77.400 0-597 0-995 1-194 1-550 14,0-0 90,300 0-7tO 1-260 1-520 1-970 16.000 103.200 0-910 1-510 1-820 2-360 17,000 109,550 1-1375 1-890 2-275 2-950 18,000 116,100 1-4075 2-340 2-815 3-660 It will be noticed that for a fixed induction the waste of power increases in direct proportion to the frequency ; and that for a given frequency the loss varies as the induction raised to the 1'6 power. A further loss may also arise from eddy currents unless the iron plates are very thin, but with the usual gauges the waste of power is unimportant.* (See also 37, p. 207.) The effect of the frequency on the size of an alternator for a given output demands careful attention. It was shown in 27 * Mr. Steinmetz's law gives the expression for the loss in core thus : Watts a f ~^ l B ltf3 + b <"\_, 2 B 2 , the first term referring to hysteresis and the second to eddy currents. The constants a and b have to be determined for each sample. The second term decreases in value as the temperature of the core is raised. Generally, eddy current loss will not exceed about five per cent, of that due to hysteresis. See The Electrician, February 12, 19, and 26, 1892 ; also Journal of the American Institute of Electrical Engineers, January 19, 1892. 174 ELECTEIC MOTIVE POWEll. that the frequency is proportional to p^-' } that is, it varies directly as the number of pairs of poles in the field magnets and the number of revolutions. If the speed be fixed, the frequency determines the number of poles, and, consequently, to a large extent, the size and cost of the machine. The bearing of this point in the design of alternators will be readily appreciated on inspecting Table M, which shows the necessary revolutions per minute at the frequencies customary in this country, with various numbers of pairs of field poles. It is seen that for a given number of pairs of poles the revo- lutions vary directly as the frequency, which on this account should be low. But the output of a given alternator, other things being equal, is proportional to the frequency, and there- fore a low frequency means a heavy machine for the output. This disadvantage is, however, counterbalanced to a large extent by the higher induction which is permissible as the frequency is diminished. Table M.* lumber of pairs of field poles. t revs. per niin.= "V =80 revs. per min. = no =100 revs, per min. = revs, per min.= 2 1,500 2,400 3,000 3,9CO 4 750 1,200 1,500 1,950 6 500 800 1,000 1,300 8 375 600 750 975 10 300 480 600 780 12 250 400 500 650 14 215 343 432 557 16 187 300 375 487 18 166 266 332 433 20 150 240 300 390 The ordinary values of B" a are given in Table X, and are practically the same as those found advisable in the design of transformers. * See also Table T, p. 184. t The number of pole pieces in a machine is equal to 2 p. DESIGN OF ALTERNATORS. 17& Table N. Frequencies C\j = Induction B" a = from 50 52,000 to 40,000 60 30,000 to 32,000 70 28,000 to 30,000 80 26,000 to 28,000 90 24,000 to 26,000 100 22,500 to 24,000 110 21,000 to 22,500 120 19,500 to 21,000 130 18,000 to 19,500 If the magnetic field vary in strength the induction must be the ^/mean square value. 31. DESIGN OF ALTEENATOES ; MAGNETIC DEN- SITY; EFFECT OF SHAPE OF PEESSUEE AND CURRENT CUEYES ; PEEIPHEEAL SPEED ; EXCITATION. The preceding investigation of alternate-current working will be sufficient to show the modifications necessary to apply the method of designing dynamos and motors described in Chapter II. But special attention must be given to the mag- netic induction, and the current density must be chosen accord- ing to the ventilation provided. For example, in an iron-cored armature having a large heat waste from hysteresis, the loss in the copper must be kept relatively small, whereas in a coreless armature of the Brush or Ferranti type, the current density may be as high as 4,000 amperes per square inch, or even more. The effective pressure and current will in all cases be of chief importance, since the output, heat waste, and average torque are proportional to these values. But the maximum pressure will determine the limiting stress on the insulation, and must be considered accordingly. From this point of view the Kapp and Giilcher alternators appear to be excellent, for they give a flat top to the theoretical curve of pressure (see Figs. 76 and 79, pp. 157 and 159). Also the maximum torque will be proportional 170 ELECTRIC MOTIVE POWER. to the maximum value of the current, and the stresses must be calculated with reference to this value. In cases likely to be met with in practice, both pressure and currents closely approxi- mate to a sine law in the outer circuit, and it is probably safe to assume that the armature pressure curve also does so ; at any rate, judging from the illustrations given in Figs. 75, 76, 77, 78 and 79, the probable error is not sufficiently large to seriously affect the results. The peripheral velocity of alternators is generally greater than that of continuous-current machines, and is a question of mechanical construction. Generally, with non-magnetic core armatures of the Ferranti type, the moving parts are so light that the centrifugal stresses are easily dealt with at even from 5,000 to 8,000ft. per minute. And in revolving field machines of the Brush and Brown type it is clear that the speed is only restricted by the tensile strength of soft cast iron. In revolv- ing fields, of the Electric Construction Company's type, since the magnets are mainly built up of wrought iron, the chief factor is the ultimate strength of the bolts and screws holding the parts together, &c. 32. EXCITATION; PARALLEL WORKING; CRITICAL FIELD CURRENT OF ALTERNATORS AND ALTERNATE-CURRENT MOTORS. The estimate of the excitation presents some difficulty, but since the current is almost invariably provided by a separate direct-current dvnamo, often coupled to the shaft of the alter- nator, a limited adjustment can be made by a variable resistance placed in series with the coils. However, it is important to notice that for every driving power there is one value of exciting current which will make the output, and, consequently, the efficiency, a maximum (see Fig. 88). In fact, the output does not vary directly as the field strength, as is the case with continuous-current machines ; and it follows that a proper regulation cannot be made by the exciting current alone, but requires as well an adjustment of the driving power for each load. This is of special importance when alternators are coupled in parallel. If the exciting current be either above or below this critical value, the BEST EXCITATION OF ALTERNATORS. 177 efficiency will be lowered and the output reduced (for the given driving power). In the first case, the armature current will be increased, and the terminal pressure also; but the efficiency will be diminished, owing to the increased loss over the armature resistance. In the second, the current will also be increased, and the terminal pressure will be lowered. This effect is not very marked with many alternators, and in most cases the best excitation is nearly the same through the working range of output. Perhaps it is of more importance in the case of alternate-current motors, for then the increase of eo 'JO 20 O O 600 1,000 1,600 2.000 2,600 3,000 3,600 4.0OO Volts. FIG. 88. * Curves connecting Terminal Volts and Amperes in Alternators sup- plied with Constant Power, the excitation being increased continuously from zero at O to a maximum at E. Curve 1 refers to a 10 k.w. alter- nator ; curve 2 refers to a 60 k.w. alternator ; and curve 3 refers to the larger machine when the armature reactions are taken into account. The Volts and Amperes are in phase at the apex of each curve. main current may cause a serious loss in the line, as well as in the armature circuits. With motors it is found that for every load there is one excitation which will give a minimum armature (main) current. This important fact was apparently first discovered in 1890, at a lighting plant in Cassel, where the generating station, comprising turbines and alternators, lies several miles from the town. The electric power is transmitted through a concentric cable to two sub-stations, each of which coh- tains a large alternate-current motor driving dynamos. The *See " Dynamos, Alternators and Transformers," by G. Kapp, page 409. 178 ELECTRIC MOTIVE POWER. men in charge of these machines found that the main current could be varied for the same load by altering the motor excitation. A similar effect is illustrated in Fig. 88A, which refers to experiments made by Mr. Mordey with two Brush alternate motors running light. The terminal pressure was maintained constant at 2,000 volts and 100 r\^, the speed also being constant throughout the range of observation. The 20 18 16 |14 5 < 12 i_ o |io c 'I 8 & E <.6 4 2 y \ \ \ "A10" Z; \ \ \ V \ < / 1 \ \ \ / / - \ \J ;- I / X Z J "V Amperes in Motor Field. FIG. 88A. Curves Connecting Exciting and Armature Currents. tests were continued with various loads, and it was found that for every output there was one value of exciting current corresponding to minimum armature current, and that the critical excitation was approximately the same for all loads. Professor S. P. Thompson has shown that minimum current in a motor armature occurs when the pressure and current are in phase, that under-excitation causes the current to lag, and over- excitation causes it to lead. SINGLE-PHASE ASYNCHRONOUS MOTORS. 179 Dr. Sumpner, Mr. G. Kapp, Mr. Swinburne, Mr. Mordey, and others have investigated the theory of exciting alternate- current machines. And it appears that the output of an alter- nator depends on the steam admission, or simply the driving power ; while the lag, and, consequently, the wattless current, is controlled by the excitation. And for a given brake horse-power of an alternate-current motor, the excitation deter- mines the lag and wattless current. The problem is complicated by armature reactions, self-induc- tion, and capacity effects in the circuit.* Armature self-induction tends to weaken the field, and therefore to necessitate more than the calculated excitation, while capacity in the armature tends to strengthen the field, and hence to reduce the value of the necessary excitation. The actual number of ampere-turns for any load will, therefore, depend on the balancing of these two effects, and no general rule can be stated. When alterna- tors are running in parallel, with separate engines, the steam admission should be controlled by a common single governor, and not by separate governors to each engine. And the real output of each dynamo, after the throttle valve is properly set for the full output of the machine, should be measured by a wattmeter, and controlled (in accordance with its readings) through the field excitation. An ammeter is of no use for this purpose, as it gives no indication of the lag between current and pressure ; and the omnibus pressure, being the same for all the machines, is no criterion of the actual total electromotive force of any of the alternators. It may therefore happen that two alternators in parallel may be giving pressures differing as widely as 2,500 and 1,500 volts, and yet the omnibus pressure will show 2,000 volts, the proper station pressure, say. 33. SINGLE-PHASE ASYNCHRONOUS MOTORS SELF- EXCITING AND SELF-STARTING. This type of motor is not yet in general use in England, but it is steadily gaining favour on the Continent, and is worth some attention in connection with the present subject. * For further information and experiments with synchronous motors on long-distance lines, see Proceedings of the Institution of Electrical Engineers, Vol. XXIII. 180 ELECTEIG MOTIVE POWER. Messrs. Hutin and Leblanc, Mr. C. E. L. Brown and others, have devised various forms which run with single-phase currents, asynchronously and with good efficiency. By the combination of an additional rotary magnetic field, they can be made to start against a considerable torque, and the auxiliary field can be stopped after the proper speed is attained. Various devices to secure such a field are suggested by Mr. C. E. L. Brown, the most feasible being two parallel windings on the field magnets one with small self-induction (or even capacity), and the other with larger self-induction. These two circuits when supplied with a single-phase current will produce a rotary field, and so cause the armature to revolve.* The construction and general appearance of these motors is similar to that of multiphase machines (see 58, page 284). It may be noted now, however, that the armatures have no collectors or brushes, and that the windings consist simply of straight conductors laid in grooves or tunnels, and connected at either end to solid metal rings (see Figs. 169 to 171, and page 292) ; or are laid on the periphery of the core so as to look not unlike a squirrel cage. The general principle will be readily grasped from diagram Fig. 89, which refers to the ordinary method of coupling the Brown motors. The winding of the motor is in two parallels, each of as many coils as there are poles in the field magnets, the coils of each series being wound in the spaces between the coils of the other. The starting set 'is in series with a voltameter or condenser and serves to lead the phase of the current passing through it, while the main coil, having considerable self-induction, retards the phase of its current. To start the motor, the paths a 1) and c d are closed by their respective switches. Current from the transformer T then passes from the terminal m to the field magnet coils of the motor M. On dividing between the two coils, one portion of * Other forms of this ingenious motor have been suggested by Mr. Brown, for which rference should be made to the technical journals of January and March, 1893. SINGLE-PHASE ASYNCHRONOUS MOTORS. 181 the current passes through a b and through the regulating handle J and the inductive resistance R, and returns to the other terminal n of the transformer through the ammeter A. The second current, in parallel with the first, goes through the voltameter V, and passes direct to the other terminal of the transformer. Thus it will be seen that the phase of the current passing through the main coils and the resistance R will lag, while the other will be advanced by means of the volt- ameter V. By a suitable adjustment of the condensers to the wwwwvw MMAAA Jf n FIG. 89. Diagram of Connections of C. E. L. Brown's Single-Phase Asynchronous Motor. periodicity, a phase difference of a quarter of a period is obtained between the two currents. A steady deflection of the ammeter A shows the motor has arrived at synchronism. Then the connection a b is broken by the commutator switch, and that through a f is made, the motor then running by means of the main coils only. By a suitable coupling of the switches, the making of the contact a f and the breaking of c d can be accomplished at one operation. The resistance R is always in circuit across the transformer- terminals, absorbing a current which, however, is very small o 182 ELECTRIC MOTIVE POWER. owing to its large self-induction. This arrangement is used to eliminate the induced current on opening and closing the circuit, and is the subject of a special patent by Mr. Brown. The condenser is built up of layers of V-shaped iron plates, in- sulated from one another, and immersed in a solution of caustic soda contained in an iron jar. It is to be noted that the auimeter, the resistance and the condenser, may be made to serve all the motors of a given installation. For very small motors of from -^ to J H.P. a few spirals of German silver or iron wire put in the starting circuit are sufficient to give the requisite lag. This resistance is con- veniently arranged on a hand frame, and can be used con- secutively for a number of machines. By the courtesy of the Directors of the Giilcher Company, the author was enabled, in November, 1893, to make, in conjunction with Mr. W. B. Esson, a series of tests with Brown motors of various sizes. The results obtained are given in Tables 0, P, Q, and R, and may be of interest as showing the commercial efficiency and general performance of this type of motor. Table 0.100 volts, SO r^, 4 poles, J H.P. Absorbed. Eevolu- tions. Watts given out. Actual efficiency % Apparent efficiency % Amperes. Watts actual. Watts apparent. Power factor. 3 .128 300 0-43 2,330 Empty. 5-5 343 550 0-62 2,280 245 71-4 44-6 36-5 2,188 3,285 0-666 At starting. Table P. 100 volts, 80 ^, 6 poles, 1 H.P. Absorbed. Revolu- tions. Watts given out. Actual efficiency 7 ' Apparent efficiency % " Amperes. Watts actual. Watts apparent. Power factor. 8-48 176-4 848 0-21 1,560 Empty. 10-0 364-0 1.000 ! 0-364 1,540 213 58-5 21-3 12-45 706 1,245 0-567 1,520 500 70-8 40-18 16-7 1,109 1,670 (0-663 1,490 800 72-1 48-0 22-0 1,125 2,200 0-511 At starting. SINGLE-PHASE ASYNCHRONOUS MOTORS. 183 Table Q.1CO volts, 80^,6 poles, 2 H.P. Revolu- tions. Watts given out. Actual efficiency Apparent efficiency /o Amperes. Watts actual. Watts ' Power apparent. |f actor. 12-7 252 1,270 0-2 1,570 Empty. 14-5 520 1,450 0-38 1,550 290 55-8 20-0 18-0 1,C40 1,800 0-557 1,520 637 66-0 38-1 24-5 1,630 2,450 0-665 1,500 1,100 67-5 44-9 30-5 2,050 3,050 0-672 1,490 1,400 68-3 45-9 31-2 2,150 3,120 0-69 1,480 1,520 70-7 48-6 30-0 1,848 3,000 0-616 At starting. Table E.100 volts, 60^,6 poles, 2 H.P. ( Absorbed Revolu- tions. Watts given out. Actual efficiency % Apparent efficiency % Amperes. Watts actual. Watts apparent. Power factor. 16-5 320 1,650 0-194 1,185 Empty. 17-5 500 1750 0-286 1,170 210 42-0 12-0 19-6 1,040 1,960 0-53 1,160 690 66-3 35-7 23-4 1,320 2,340 0-564 1,150 980 74-2 42-0 27-0 1,710 2,700 0-631 1,140 1,270 74-3 47-0 44-5 2,850 4,450 0-64 At starting. Mr. Banti has made some tests with larger Brown machines of this class, the figures of which are given in Table S. It will be seen that the efficiency is high at from half to full load. Table S. 106-3 volts, 45 <^, 6 poles, 5 H.P. Absorbed. Revolu- tions. Watts given out. Actual efficiency Apparent efficiency Amperes. Watts actual. Watts apparent. Power factor. 15-0 343-0 1594-5 0-215 902 Empty. 17-5 967-7 1860-25 0-521 890 588-8 61-0 31-6 21-0 1421-0 2232-0 0-638 870 1015-0 72-0 46-2 24-0 1911-0 2551-0 0-751 884 1479-0 77-4 57-1 27-5 2401-0 2923-0 0-820 872 1869-0 77-9 64-0 32-3 2976-7 3433-0 0-859 872 2325-0 78-9 67-6 37-0 ! 3503-5 3933-0 0-894 860 2699-0 77-0 68-2 43-0 4189-5 4570-0 0-917 868 3083-0 73-6 67-4 48-5 4806-9 5155-0 0-934 848 3383-0 70-3 65-6 55-0 5439-9 5846-0 0-934 860 3731-0 68-0 67-0 o2 184 ELECTRIC MOTIVE POWER. ws I g -I " o O3 Ji} ijslj CO T-l rH CO rH CO O LO O LO O CO i-Ti-f~" io" o 10 o CO CO CO o / \ ^- z:. r4W- of rH 1- Of s ? rHr4' o o^ of r-T 03 03 ^r of of gg SINGLE-PHASE ASYNCHRONOUS MOTORS. 185 Mr. Banti conducted his tests in the following manner : The motor was started by sending the single-phase current from the transformer through the auxiliary and main windings. As soon as synchronism was attained, the ammeter inserted in the principal circuit assumed a definite deflection. The condenser circuit was then opened and the belt applied to the motor. Readings were then taken of the watts and amperes supplied, the speed, and the torque on the motor shaft ; the volts being kept at constant pressure. The watts were measured by a Ganz wattmeter, a Cardew voltmeter was used for observing the pressure, whilst a previously standardised tachometer indicated the speed. The output was measured by an absorption brake. The effect of frequency on the outputs, weight, and speed is of great importance, and has been made the subject of in- vestigation by some of the leading firms. It is illustrated in Table T, which is compiled from a series of tests made by the Oerlikon Company with their stock machine?, designed for frequencies varying from 42 to 100 *\> per second, at a uniform pressure of 110 volts. The figures are only approxi- mate. The weights bear no particular ratio, te the outputs, because the same patterns have to be used for machines working under different conditions. It will be clearly seen, however, that the weight for a given speed and output and the same number of poles varies, roughly, inversely as the frequency. The actual watts and the efficiency are practically the same at each frequency within the limits of the Tables. In connection with this, reference should be made to Table M, page 174, which shows the alteration of speed caused by varying the number of poles for various frequencies. CHAPTER VI. TRANSFORMERS. 34. Introduction; Types of Transformers. 35. Transformers in Parallel ; Primary and Secondary Drop of Pressure ; Magnetic Leakage ; Constant Current Transformers. 36. Curves of Closed Magnetic Circuit Transformers. 37. Design of Transformers. 38. Step-up and Step-down Transformers. 34. INTRODUCTION ; TYPES OF TRANSFORMERS. REFERENCE has already been made to the function of the con- tinuous-current transformer or dynamotor ( 25, p. 138). That of the alternate-current transformer or converter, generally denoted simply by transformer, is essentially the same ; it converts power, ^ V lf at one pressure into a corresponding power at another pressure and current, i. 2 V 2 (say). Assuming no loss in the transforming, The left-hand product represents the power in the primary circuit at the high-pressure terminals of the transformer ; ij and Vj severally expressing the primary current and pressure. The right-hand product gives the power in the secondary circuit at the terminals of the consumer's circuit, V 2 being the pressure of supply. It is clear that the primary pressure will be selected as high as possible in order to keep the current small, and thereby to economise in copper. A usual value for V l is 1,000 volts. Let the horse-power be 100 (i.e. =74,600 watts) and the secondary pressure, V 2 , be 100 volts, then Primary circuit, ^ Vj = 74'6 x 1,000, Secondary circuit, ^' 2 V 2 = 746 x 100, or the currents are in inverse ratio to the pressures. 188 ELECTRIC MOTIVE POWER. In practice, owing to the loss in conversion, the secondary output will be less than the primary by an appreciable quan. tity, varying with the design, size and load of the transformer It will fix ideas to examine the following results obtained by Dr. J. A. Fleming from some of the best known transformers. Table U shows that with an output of one tenth of the full load a well-designed transformer has an efficiency of rather more than 86 per cent., and with one-twentieth about 76 per cent. It will be seen also that the efficiency is highest at from three- quarters to full load, and that the efficiency decreases as the load is diminished. It is thus of the highest importance to secure a high-load diagram for each transformer, and to ensure, if possible, that the all-day load shall not be less than 50 per cent, of the maximum. Then the efficiency will average about 95 per cent. This is a very important consideration in dis- tributing power, and will be referred to again when discussing power problems. Another point is the poiver-factor, or ratio of true watts (effective volts x effective amperes x cos ) to appa- rent watts (effective volts x amperes). This is a variable quantity, being from 0'77 to 0'80 at no load, and attain- ing unity at about one-tenth of the maximum output in the best modern designs, such as Mordey, Ferranti, Kapp, Westinghouse, and Thomson-Houston transformers. With the " Hedgehog " type it does not exceed 0'07 at no load, and never exceeds about 0'8 even at full load. This ratio does not give the efficiency of the transformer, but, since it is dependent on the conductivity of the magnetic circuit, it forms a rough guide to the suitability of transformers for given work, and also is a useful figure of merit for determining the probable line and plant efficiency at light loads, especially when the secondary circuits are open.* * It is now well recognised that a recording wattmeter is the most satis- factory instrument for measuring the true watts given out from a central station. The integration of the resulting diagram will give the total energy supplied in any given time, and the meter-readings will give a fair idea of the quantity of energy received by the various consumers during the same period (assuming the line to be non-inductive) ; hence it is possible to estimate the plant efficiency with considerable accuracy. EFFICIENCIES OF TRANSFORMERS. 189 O5O3O3 CT5 o^rbooro O5 SDC5O3O5O5 O3io 00 O5 iHOI^05^00C<3 O5O5O5O5COCJ)O> - cNiihihoaoibto C35OG3OO500O5 OrHOOr-lpCDCpv td-iHlhlbi^COTH^HC- ooooooooo ptioii 11 - W - f - y-t n3 O 01 ^ W d s 11 ^2 ^^ ^^ ^^ ^5 I a w 190 ELECTRIC MOTIVE POWER. The types of transformers in general use are not very nume- erous ; indeed, there is not room for much variation, although, of course, the details differ widely. Broadly speaking, transformers may be divided into two classes, which differ fundamentally, viz., the closed magnetic circuit and the open magnetic circuit. The first includes the majority of designs, and has been demon- strated to be generally superior to the second, which is prac- tically only represented by the " Hedgehog " transformer. The specific claim for the open-circuit converter is an assumed higher average efficiency. But Dr. J. A. Fleming, after an exhaustive series of trials,* finds that the closed type is the better, even FIG. 90. " Hedgehog " Transformer. The vertical lines in the centre with spiked ends represent the soft iron wire core. on this count. With respect to light-load efficiency there is no doubt that the closed circuit is preferable. For the power- factor of the open-circuit type is so low that the wattless current is always large, and the " magnetising current," or primary current with secondary circuit open, appears to be practically prohibitive. The "Hedgehog" transformer (Fig. 90) is, however, of com- mercial interest. * See Journal of the Institution of Electrical Engineers, Vol. XXL, Parts 101 and 102. TYPES OF TRANSFORMERS. 191 It will be seen that the iron core is surrounded by the copper winding, and the soft wires of which it is built are turned over at the ends into hemispheres. It is a very cheap design, and finds favour from considerations of first cost. It is fair to state that Mr. Swinburne explains the indifferent results obtained with the particular "Hedgehog" transformer FIG. 91. Westinghouse Transformer. tested by Dr. Fleming by the fact that its winding compressed the soft iron wire core so tightly that the films of insulating oxide were partially broken, and the whole core acted as a more or less solid mass. This no doubt militated largely against the efficiency, and it may be that the open-type transformer in FIG. 92. Ferrauti Transformer. Mr. Swinburne's hands will ultimately attain to as high a power, factor and all-round efficiency as the closed type ; but this is not the case at present. The better-known closed-circuit transformers are illustrated diagrammatically in Figs. 91 to 100. The primary windings 192 ELECTRIC MOTIVE POWER. are suggested by fine cross lines, and the secondary by coarser ones. Various methods of disposing of the windings some separate and some interplaced are also indicated, but they are not peculiar to any of the types, being practised as found convenient. With the exception of the Ferranti FIG. 93. Mordey Transformer. transformer, Fig. 92, which is built up of thin iron strips, all the types illustrated are made from thin stampings of soft iron, the gauges most in use being from No. 24 to No. 30 B.W.G. Generally the design aims at reducing the external magnetic leakage to a minimum, thereby causing the whole of FIG. 94.- Kapp Transformer. the lines of force induced by the primary current to pass through the secondary circuit, and vice versa. The methods of putting the windings in position will be easily understood. The primary and secondary coils are first wound on " formers," and then thoroughly insulated both from each other and from the iron TYPES OF TRANSFORMERS. 193 core. In Fig. 91 the pieces marked p p are bent back, and the coils are passed over the core; when as many stampings as are required are threaded, the plates are distanced with mica and firmly secured in position by the external casing. In Figs. 94, FIG. 95. Glibber (Esson) Transformer. 95, 96, 97 and 98, the coils are simply laid around the centre core pieces before the ends are placed in position. In Fig. 93 the coils are first placed in the centre of the larger plates, and the small punchings are put between consecutive plates, and thus, FIG. 96. Snell and Kapp Transformer. passing through the coils, form the core. In the Ferranti type the coils are slipped over the iron strips, which are then bent into shape and secured by the outer casing. In Fig. 99 the coils are dropped over the core, and then the plug pieces, k &, are put in 194 ELEGTEIG MOTIVE POWER. position. In Fig. 100, which is the latest Thomson-Houston design, the coils and the core are placed together in the centre of the rectangular stampings. The insulation spaces permit a free circulation of air or of oil if the whole be immersed in a resinous oil, as is frequently done in modern designs for very high pressures. FIG. 97. Rankin Kennedy Transformer. By means of oil insulation converters have been built with a transformation ratio as high as 1 \ 140, viz., from 50 to 20,000 volts ; and even this is not necessarily the limit if FIG. 98. Brown Transformer. special precautions are taken as regards the disposition of the high pressure coils, and especially of the leading-in and out wires, which are usually encased in glass tubes widely separated in order to prevent arcing. It must be recollected that the normal maximum pressure, which in this case should TYPES OF TRANSFORMERS. 195 be about 20,000 x ^j or, say, 28,200 volts, determines the limit of disruptive discharge, and that if there be a resonant effect in the circuit, it is quite possible for this value to be considerably exceeded. No doubt the cumulation of the FIG. 99. Thomson-Houston Transformer. several harmonic pressures in a circuit explains the otherwise apparently inexplicable puncturing of insulation. Oil insula- tion is especially valuable in such cases, for the puncture closes as soon as the spark has passed, and the insulation is as strong as before. Extra high pressure transformers are at present 1 FIG. 100. Latest Form of Thomson-Houston Transformer. only in use for long-distance transmission, and are used as step- up converters at the power station, and as step-down converters at the distributing end of the line. By their use the main current is made as small as desired, and the extra high 196 ELECTRIC MOTIVE POWER. pressure is reduced to a safer limit before serving the dis- tributing system (see 38, p. 208). The performance of a transformer is affected by size, relative quantities of iron and copper, magnetic density, copper loss, stray magnetic field, and resistance of the joints at right angles to the path of the lines of force. Speaking generally, high efficiency at low loads may be attained if the total copper loss be kept small and the magnetic induction be made relatively low i.e., if there be a large quantity of both copper and iron; but this design is necessarily expensive owing to the large mass of metal. If a high efficiency be required only at nearly full load, then the copper loss may be larger and the cross- section 100 02 Oo -04 05 0-6 07 Fractions cf Full Secondary Load. 09 10 FIG. 101. Efficiency Curves of Various Transformers. Top Curve, 6, 500- watt Westinghouse Transformer. Middle Curve, 6,000-watt Mordey Transformer. Bottom Curve. 4,500-watt Thomson-Houston Transformer. NOTE. If the Transformers were of the same power, the curves would probably be nearly identical. of the iron less, the design being lighter and cheaper. If high average efficiency with cheap design be aimed at, a com- promise must be made between these two extreme proportions. These remarks are applicable to any of the designs mentioned, and the results actually obtained in practice may be gathered from Table U, p. 189. The efficiency curves of some of the standard transformers are shown in Fig. 101. TRANSFORMERS IN PARALLEL. 197 35. TRANSFORMERS IN PARALLEL; PRIMARY AND SECONDARY DROP OF PRESSURE ; MAGNETIC LEAKAGE. If a transformer be designed for parallel working and this is the more frequent practice then the aim is to make the mutual induction of the primary and secondary circuits a maximum, and to restrict the drop of volts to as small limits as possible good practice being within 2 per cent, of the open-circuit secondary pressure. The " total secondary drop " at full load is affected not only by the secondary resistance, but also by the primary resistance and the stray magnetic field. The leakage effect increases with the output, for the dis- turbing effect due to the secondary ampere-turns is, of course, proportional to the secondary current, i y The total drop is also affected by the increase of value of the primary drop, *! Rjj for, if the pressure at the primary terminals be kept con- stant, the primary counter pressure decreases as the primary current increases. And as the secondary pressure is propor- tional to the primary counter pressure (not to the primary terminal pressure) the secondary drop Is increased in pro. portion as this diminishes. The number of volts in the secondary drop due to the primary drop is given by the expression i x primary drop, or ^R! ..... (42) 1 i *i In the transformer equations the suffixes o and / are severally used here to distinguish current or pressure at no load and full load ; T 1? T 2 = the respective number of turns in the primary and secondary coils; and R p R 2 = the primary and secondary resistances. The relative importance of these three causes of drop in the pressure varies with different designs. In the Westinghouse type the magnetic leakage accounts for about one-half of the drop ; whilst in the Kapp transformer, which has interplaced windings, the leakage is very small (see Fig. 102). Dr. J. A. Flem- ing gives the following rule for estimating the number of volts 198 ELECTRIC MOTIVE POWEE. lost by magnetic leakage with a closed-circuit transformer. Add together the product of secondary resistance and maximum T secondary current and 2 times the product of primary resist- T i ance and current, after deducting the " magnetising current " from the primary current at full load; subtract this sum from the total observed drop, and the remainder is the number of secondary volts lost by magnetic leakage. Thus : Secondary volts lost by magnetic leakage = ( V 2 fV 2 ) - {R$> f*2 + ^ -^i(f*i ~~ T i (43) 102 650 1300 1950 2600 3250 3900 4550 5200 5850 6500 Output in Secondary Watts. FIG. 102. 6,500-watt Westinghouse Transformer. a b, Line of Maximum Pressure, b c, Drop due to Secondary Resist- ance, c d, Drop due to Primary Resistance, d e, Drop due to Leakage. The order of the "drop" curves is illustrated in Fig. 102, which is taken from observations made with a 6,500-watt Westinghouse transformer. These curves indicate the lowering of the secondary pressure for each of the three causes. The top line, a b, shows the open circuit secondary pressure of 101 volts ; line a c marks the loss due to secondary resistance ; a d that caused by primary resistance ; and a e that by magnetic leakage. The maximum drop is about 2*4 volts, or a mean variation of 1'2 per cent. TRANSFORMERS IN SERIES. 199 If the primary and secondary currents be nearly in opposition to each other, i.e., separated by a phase difference of ISOdeg. approximately, the resultant ampere-turns at any load are simply ij_ T x - ^' 2 T 2 , where T x and T 2 are severally the number of primary and secondary turns. And with the secondary circuit open the excitation is simply due to \ T r This par- ticular value of the primary current is called the magnetising current. It has been determined by Profs. Ryan and Fleming and others that the resultant excitation is constant for all loads ; hence the primary current at no load is a criterion of the merit of a given transformer if the above-mentioned phase difference be preserved. The following figures from a 3,000- watt Giilcher transformer will give some idea of the value of the effective or magnetising ampere-turns. The primary turns are 1,000 in number, and ^^ = 1,570 at full load; the secondary turns are 50, and ^ 2 T 2 = 1,500; therefore the magnetising ampere-turns ^ 1 T 1 -^ 2 T 2 = 70 (approx.), and the magnetising current = 0'07 ampere. This law, however, is not true for open circuit transformers, or for those closed circuit types which have defective joints, for then there is a varying lag between the two currents, and the value of the expression ^ T T - ^' 2 T 2 continually diminishes as the load increases. It will be remembered that the "Hedgehog" transformer was specially mentioned as having a low power-factor, the value being a minimum at no load and increasing towards the full output, but never exceeding about 80 per cent., whereas the best closed-circuit types have a power-factor of 100 per cent, at about one-tenth of their output. It is theoretically possible to run transformers in series upon a constant current circuit, and to supply the secondaries with constant currents ; but there are so few cases in which such a system of distribution would be economical that few trans- formers have been built for this purpose. It is sometimes desirable, however, to feed a secondary circuit with constant current while the primary is supplied at constant pressure, as occurs with arc lamps in series. Both the Westinghouse and Thomson-Houston Companies have devised such trans- formers; that of the last-named Company being shown in r2 200 ELECTRIC MOTIVE POWER. Fig. 102 A. It will be seen that the magnetic flux is carried partly through the side cores and partly across the air-space in the centre marked A. The proportions are so arranged that a decrease in the number of arc lamps, lowering thereby the secondary resistance, increases the reaction of the secondary circuit on the primary, and causes a greater leakage of mag- netism across the gap A. This cuts down the induction in the secondary and increases the self-induction of the primary, thus- proportionately decreasing its current. FIG. 102A. Thomson -Houston Parallel Transformer with Constant Secondary Current. 36. CURVES OF CLOSED MAGNETIC CIRCUIT TRANSFORMERS. In examining the performance of a given closed-circuit trans- former, the essential points to be determined are : (a) Pressure at primary terminals. (6) Magnetising current. (c) Primary and secondary resistances. (d) Terminal secondary pressure at various loads. '(e) Secondary currents at loads corresponding to readings taken under (d). The product of (a) and (6) gives the apparent watts con- sumed at no load. Since the power factor or ratio of true to apparent watts is then about 0'8, if this product be CURVES OF TRANSFORMERS. 201 multiplied by O'S the true watts are known, and the iron core loss for all loads can be found by subtracting the primary coil watts with open secondary coil. Thus, 0-8 V, oh -o*i 2 &i = watts lost in iron. . . (44) Then from the ratio of primary to secondary pressure at no load, and from the same ratio with various secondary currents, the corresponding primary currents can be calculated. And hence, knowing the resistances, the primary and secondary i- R losses can be estimated. Then, drawing a total i 2 R loss curve and a total loss curve (i.e., adding hysteretic and eddy current losses) parallel to it, there are sufficient data to determine the efficiency at all stages of the load. To illustrate this the following calculations are given with reference to a Ferranti 1892-patteru transformer of 15 H.P., having the following data : V 1 = 2,400 volts (kept constant). V 9 = 100 volts nominally. f\> = &2'5 periods per second. R x = 377 ohms. R 2 = 0-0092 ohm. T T :T 2 ::24:i. o ^ 1 = 0'103 amperes. t i { = 4-837 amperes. f ?' 2 = 113'85 amperes. On open circuit : V l = 2,400; V 2 =100; ^ = 0-103; The apparent watts = Vj x *\ = 2,400 x 0-103 = 247'2 ; And loss in core = 08 x 247'2 - 0-103 2 x 3'77 = 197-5 watts. At full load .' f V l = 2,400 ; f Vo = 97'8 ; ^ = 4'837 ; /, = 113-85. Loss in primary, ^2R 1= 4'837 2 x 3'77 = 885 secondary, z 2 2 R 2 = 113-85 2 x 0-0092 = 119-0 core =197-5 Total loss at full load = 405-0 Efficiency at full load= 11>134 = 96 per cent. J 11,134 + 405 OF TBOB 202 ELECTRIC MOTIVE POWER. These calculations give the open circuit and full load points of the several curves. The intermediate points can be deter- mined in a similar manner, and the whole series be plotted in succession.* * Full particulars of this transformer will be found in Dr. Fleming's Paper CD page 636 of Part 101 of Journal of Institution of Electrical Engineers, to which reference should be made for further information. CURVES OF TRANSFORMERS. 203 These results are illustrated in Fig. 103, in which Curve a shows the total secondary drop, b secondary drop due to the primary and secondary circuits, c secondary drop due to the secondary circuit, d primary copper loss in watts, e secondary / total g loss (including hysteresis and eddy currents), ,, h ,, primary output in watts, i secondary k efficiency. All the curves are referred to the currents as abscissae, the corresponding primary and secondary currents being plotted to suitable scales. The ordinates are made to different scales in order to condense the whole. Some idea of the order and relation of the phases of pressure, current and resulting magnetism in a transformer may be gathered from the following : In a transformer there are (a) A wave of impressed E.M.F., 1 V imp , in the primary circuit. (b) A primary current, i lt lagging behind the primary E.M.F. by an angle <, which may have any value between Odeg. and 90deg. (c) A wave of magnetism lagging behind the primary current by considerably less than 90deg. (d) A counter E.M.F., jVs, due to the inductive action of the magnetism and lagging 90deg. behind the magnetic wave (e) An impressed secondary E.M.F., V 2 , due to and measured by the rate of change of the magnetism, and hence lagging 90deg. behind it. 204 ELECTRIC MOTIVE POWER. (/) A secondary current, * 2 , in phase with the secondary E.M.F. if there be no self-induction in the circuit ; lagging by an angle of any value between Odeg. and 90deg. if there be inductive action in the circuit or leading if there be capacity in the circuit. The relative positions of the several curves are roughly indicated in Fig. 104. On an open circuit the counter E.M.F. of the primary is nearly in opposition to the primary impressed E.M F. The FIG. 104. Curves of Transformer. iV imp, Primary Impressed Pressure. jVr, Primary Resultant Pressure. ,V S , Primary Self-induction Pressure. i lt Primary Current. 2 Vim P , Secondary Impressed Pressure, io, Secondary Current, m, Curve of Magnetic Induction. Angle of lag between primary pressure and current assumed to be 45 ; and secondary pressure and current taken in phase. primary and secondary currents are very nearly in opposition at all loads, but most nearly so at heavy loads. It is useful to remember that when the secondary coils are short-circuited the impedance of the primary circuit becomes sensibly equal to about twice its ohmic resistance, and there is a danger of burning out the winding. TEANSFOEMEE EQUATIONS. 205 37 DESIGN OF TRANSFORMERS. From the preceding practical and theoretical remarks it will be evident that the design of a transformer is from the com- mercial point of view a compromise between conflicting conditions of efficiency and cost. It is generally recognised that efficiency can always be secured if price be of no moment ; but sound commercial engineering requires the annual cost of power wasted in a transformer to be equated to the cost of maintenance plus interest ou capital outlay. This demands a special application of the economic law. There are, however, certain well-established limits for the permissible losses in cop- per and iron cores for different sizes of transformers at each of the more usual frequencies, and if these are observed the results arrived at will not be far from the best attainable. Some of these practical data are to be found in Dr. J. A. Fleming's Paper on "Experimental Researches on Alternate-Current Trans- formers," and as Dr. Fleming tested transformers by some of the best makers in England and America, the figures are, beyond dispute, characteristic of modern practice. From the mean of a number of efficiency tests it appears that the copper losses for small transformers do not exceed 1*75 per cent, of the full load secondary watts, and for larger ones the loss decreases proportionately to about 1'25 per cent. The losses in the iron are also found to vary between 1*0 and 0'25 per cent, of the full load output. So that the total losses may be said to average from 3'0 to 1-5 per cent. . Bearing these figures in mind it is comparatively easy to find the permissible resistance for primary and secondary circuits, and also the number of cubic inches of iron fora given output (see Table L, p. 173). In the first instance, the following data will be known : Vj = Primary Pressure (assumed constant). V 2 = Secondary no load. i 2 = Secondary current, full load, and TjlTjliV^Vr The probable load factor should be calculated first of all in order to determine the equivalent current. Then Rj and R 2 , 206 ELECTRIC MOTIVE POWER. the resistances of the primary and secondary circuits, may be selected. Next the current densities may be chosen, the usual values lying between 250 and 1,500 amperes per square inch. The hysteretic and eddy current loss should next be estimated, and then the copper losses and the drop can be approximately determined, the values being chosen between the limits given here. This will enable curves (a), (6), (c), (d) t and (e) (see Fig. 103, p. 202) to be plotted in the following order : First plot curve (a) from the assumed value of the total drop r and curve (c) from the calculated value of Rj and the known value of t i v by equation (42), p. 197. Then plot curve (b) from the assumed values of R 2 and t i 2t and the remaining space is the leakage drop. Then curves (d) and ( = 100 and V x = 2,000; then NT 2,000x1 QS = 4 . 5xlQ8t 4-45 x 100 Unless there be data available it will require a series of trial calculations to fix the best ratio between these quantities. The usual plan adopted in practice is to take a stock size core, and this fixes N, for N = B"A, where A is the area of cross- section and B" the induction. The value of B" is from 60,000 to 65,000. Hence T T is known. If there be no fixed core to guide the design in respect of N r an approximation may be made from the permissible hysteretic loss (see Table L, p. 173) and the corresponding volume of iron for the given frequency. This is a tedious process, as it leaves the relation of the length of the magnetic path to its cross section an open question, and requires several trial calculations before satisfactory proportions are determined. A few calculations, however, for different shapes of carcases will demonstrate the principles. This part of the design neces- sarily involves the consideration of the winding space, which is not a difficult problem when the gauges of wires are approxi- mately known. As soon as the number of primary turns Tj is settled, that of the secondary is found by multiplying Tj by the ratio of transformation ; or the secondary turns This description of transformer design is incomplete, but the Author feels that this class of plant is not likely to be taken in hand by any except specialists, owing to the many difficulties which arise in connection with the selection of various designs for specific work, such as parallel or series lighting, transmission 208 ELECTRIC MOTIVE POWER. or distribution of power ; or, what is still more intricate, a com- bination of power and lighting work. It has been assumed in the calculations, as is customary, that the secondary turns are few in number, and therefore have no appreciable self-induction, and also that the secondary external circuit is a non-inductive one, such as a bank of incandescent lamps. Thus the drop of pres- sure follows simple laws and is easily pre-determined. But if an inductive load, as electric motors or arc lamps, is put in the circuit, then there is a counter-pressure of self-induction ; and, the secondary current lagging behind the secondary pressure, the drop is increased in proportion. Again, if there be resonance in the circuit, such as that caused by a condenser in parallel with the primary mains, or if the power be transmitted through long concentric mains armoured with continuous metallic sheathing, the current may lead the pressure, in which case the "drop" will become negative, and the supply pressure will be raised. These two sources of trouble, being diametrically opposite in their effects, counteract each other, and hence it has been sug- gested that condensers bhould be used at central stations supplying power to inductive circuits. But the treatment of such problems demands a close acquaintance with the under- lying theory, and it would serve no useful end to discuss at length this part of the subject. The engineer desirous of studying self-inductive and resonant effects is referred to Dr. Fleming's "Alternate-Current Transformer,"* in which the subject is treated both practically and mathematically. There are, however, some special problems which occur in alternate- current transmission, and these are referred to in Chapter VII. (see especially 42 and 43). 38. STEP-UP AND STEP-DOWN TRANSFORMERS. In cases where the pressure in the transmission mains is from 4,000 volts upwards it is sometimes found convenient to employ step-down transformers to lower the line pressure at the sub-stations. And in polyphase current systems step-up transformers are sometimes used, because this class of alternator can be most economically designed for pressures of from 50 to 100 volts. It is, however, generally cheaper * Published in "The Electrician" Series, in 2 vols., "Theory "and "Practice." STEP-UP TRANSFORMERS. 209 to increase the insulation resistance of the windings than to use a step-up transformer, at any rate up to pressures about 5,000 volts. The best authorities appear to differ as regards the pressure at which step-up transformers become advisable or necessary. For example, in the Rome-Tivoli power plant the single-phase alternators are banked in parallel at an omnibus pressure of about 5,000 volts, and at the Ponta Pia sub-stations step-down transformers lower the pressure to 2,000 volts, at which the primary circuits of the house transformers are fed. On the other hand at Lauffen-Heilbronn the poly- phase-current alternators give 50 volts and 4,000 amperes each, this pressure being raised by three-phase transformers to 5,000 volts. It is reduced at Heilbronn to 1,500 volts to feed the distributing network. Intermediate transformers are used primarily to economise copper in the transmission mains by means of extra high pressure, and they secure this important end with freedom from risk to life and with immunity from breakdowns. For it is evident that the distributing network can be easily protected from the inroad of the extra high pressure by use of the safety devices already mentioned ; and that an accident to the step-down transformer only affects the primary circuits of the supply transformers, which in turn are protected by similar devices. The consumer is thus doubly secured from an invasion of the high pressure. From the mechanical aspect there can be no doubt that a transformer properly built and buried in a sealed oil-tank is a far more lasting device than the most carefully constructed high or low pressure alternator. The use of intermediate transformers becomes of greater im- portance as the pressure of the transmission service is raised. The experiments with three-phase currents between Frankfort and Lauffen with pressures of from 20,000 to 30,000 volts establish extra high-pressure working on a practical basis, and the difficul- ties arising from capacity and self-induction are not found to present serious obstacles. At Cassel an interesting variation in plant design comprises single-phase alternators, step-up transformers, and alternate- current motors at two sub-stations, each motor running two 210 ELECTEIG MOTIVE POWER. continuous-current dynamos, which each feed a low pressure three-wire distributing network. And a similar scheme in- volving two-phase generators has been carried out by Messrs. .Schuckert and Co. at Buda-Pesth. For power purposes, since the load-factor will generally be at 'least 50 per cent., it will be possible to work the large extra high pressure transformers at more than 50 per cent, of their tfull capacity during the greater part of the time, and probably by carefully selecting the units the load-factor of each may be kept as high as 85 per cent. If this be the case the large transformers will generally be less costly to build per unit than ordinary transformers, which require a high average efficiency over a large range of output, and therefore must contain a liberal allowance of copper. This is a weighty point in considering the use of step-up transformers, and must largely determine the advisability of their use for any plant. The relative merits of low-pressure alternators and step-up transformers versus high-pressure alternators, are not easily estimated. Time is necessary to permit the accumulation of experience before this question can be satisfactorily answered. CHAPTER VII. ALTERNATE-CURRENT TRANSMISSION AND DISTRIBUTION. SINGLE-PHASE. 39. Advantages and Disadvantages of Alternate Currents. 40. Series Working not Possible ; Single Alternator and Motor. 41. Parallel Working with Alternate Currents. 42. Increase of Resistance in Conductors carrying Alternate Currents. 43. Variation of Pressure in Conductors having Self-induction and Capacity. 44. Effect of Capacity upon the Change Ratio of Transformers. 45. Compen- sating for Drop of Pressure in Conductors. 46. Measurement of Pressure at the End of Feeders. 47. Compensators or Regulators. 48. Coupling Separately-Driven Alternators in Parallel. 49. Alternate Current Measuring Instruments. 50. Precautions to be observed in Alternate Current Working. 51. Earthing the Primary and Secondary Circuits of Transformers ; Safety Devices. 39. ADVANTAGES AND DISADVANTAGES OF ALTERNATE CURRENTS. THE special points in favour of the alternate-current systems may be summarised as follows : (a) High-pressure machines are permissible, since the currents are not commutated, and, therefore, sparking diffi- culties are entirely obviated. (b) Power is readily divided into units of any size and at any pressure by suitable transformers either step-up or step- down. (c) The regulation of pressure over a large area of supply is facilitated by parallel high-pressure primary circuits. (d) The power in any of the branch circuits can be regu- lated by choking coils without serious loss thus the pressure 212 ELECTRIC MOTIVE POWER. of a feeder, or the light of a single lamp, can be graduated without using a wasteful resistance. (e) Alternate currents are generally more easily handled than continuous currents, and the sparks at breaking circuit are less destructive. (/) Synchronous motors of large sizes have a high all-round efficiency, and necessarily run at constant speed. (g) Asynchronous motors can be made without collecting rings and brushes, and are of very simple construction. (h) Separately-driven alternators will run perfectly in parallel if the driving power and excitation be properly apportioned. (i) Two alternators of unequal pressure may be coupled in parallel, and will give an intermediate pressure if the self- induction of the armatures be of suitable amount too much or too little self-induction lowers the plant efficiency, renders the condition unstable, and prevents the load from being pro- portionately divided between the several machines. The chief drawbacks to alternate currents are : (1) Transformers, especially small ones, are not efficient with low load factors, and therefore transformer sub-stations are required for economy. (2) Synchronous motors are not self-starting, and will stop if temporarily overloaded. (3) Asynchronous motors will not start against the designed running torque, unless special precautions are taken in the designing, and are only efficient at high loads. (4) The lag between current and pressure in an inductive circuit, such as one loaded with motors, is productive of wasteful current in the copper circuits. This is specially the case when the total useful power is small. (5) Synchronous alternators are more costly to build than dynamos of equal output. (6) Alternate-current transformers fed with the primaries in series at constant current require the secondary circuits to be also fed with constant current. SERIES WORKING NOT POSSIBLE. 213 (7) Free-running synchronous alternate-current motors will not work in series. (8) Alternate currents are not suitable for electrolytic pur- poses. (9) There is some difficulty in regulating the pressure of supply in circuits containing induction and capacity. (10) Accumulators cannot be used either for storing power or steadying pressure. These points will be severally developed in 40 to 51. In this chapter only single-phase currents are considered, and hence the term alternate current will be limited here to this meaning. HO. SERIES WORKING NOT POSSIBLE; SINGLE ALTERNATOR AND MOTOR. In Chapter IV. it has been shown that the simplest case of transmission of power with continuous current is that in which one dynamo and one motor are run in series with each other. The same is the case with alternate currents ; but series working is strictly limited to one alternator and one motor if synchronous machines are used. Properly speaking, series working is impossible with synchronous machines. A reversed alternator runs perfectly as a motor when driven off a similar generator if running in synchronism with it. The term synchronism implies that the periodic time of the alternations of the two machines is the same. Theoretically, it is sufficient that the frequency of one machine either coincides with or is equal to a small multiple of that of the other. It has been already shown that the frequency is equal to the number of pairs of poles in the field-magnets multiplied by the number of revolutions of the armature (or field-magnets) per second. Therefore, if the machines be similar, the speeds must be the same when synchronism obtains ; and if the numbers of poles in the two machines differ, the revolutions will vary inversely as the relative numbers of poles. From these con- siderations it is seen that a synchronous alternate-current motor Q 214 ELECTRIC MOTIVE POWER. is not self-starting ; and that the moving part must be started and revolved until it falls into step with the generator. This is most readily accomplished by running the generator slowly until the motor has got into step with it, when the speed of the dynamo may be gradually increased and the motor speed will follow it with considerable persistence. This will be compre- hended by reference to the following diagram. In Fig. 105 let V be the curve of pressure of the alternator running as a generator ; v the curve of counter pressure of a similar machine running as a motor ; and assume that, by means of suitable adjustment of both field-magnet excitations, V is greater than v by an amount sufficient to drive the current i through the combined circuit. Then the work given out by FIG. 105. the generator at any instant is equal to the product of the cor- responding ordinates of V and i, as N L x M L ; and the work absorbed by the motor at the same instant is - L NJ x M L. The sign of each curve is taken as positive when above the time line and negative when below it. The total work done by either machine in one complete cycle can be obtained graphically by dividing the time line into any number of equal parts, when, if the time of one-half period be equal to T, then the several rp m values of V i and v i can be readily found and plotted in n n new curves whose areas will be proportional to the respective outputs. Care must be taken to use the right signs, and to recollect that the algebraic product of two negative quantities Is reckoned as positive ; hence the values of V i in the second ALTERNATORS IN PARALLEL. 215 half of the generator curves are positive, although each of the factors is negative. The negative sign before the product V i implies that the machine is receiving power from the circuit, whilst its absence shows that the machine is giving power into the circuit. The displacement of the current curve i, with reference to the resultant pressure V - v, is called the lag. The amount of the lag is usually measured in degrees, and is deter- mined by the self-induction of the circuit. 41. PARALLEL WORKING WITH ALTERNATE CURRENTS. Alternate-current working is seen at its best when the alter- nators as well as the transformers are coupled in parallel. The term "parallel working," indeed, is usually held to imply this particular arrangement of the generators, and does not refer to the transformers, although these are generally coupled in parallel as well. The ordinary practice is to drive each alter- nator separately. In Continental practice two alternators are frequently coupled, one at each end of a turbine shaft, the whole forming one unit. Machines of unequal size work per- fectly in parallel, dividing the load in proportion to their capacities, if the excitations be properly adjusted and the driving power be of suitable amount. And alternators of even widely different pressures may be coupled in parallel without risk of damaging either, the resultant omnibus pressure being intermediate between the two. But the load will not necessarily be divided according to the capacities of the two; and the machine with the higher terminal pressure will do work on that with the lower pressure during a por- tion of each period. Therefore, the power absorbed will be greater than is necessary, and may be excessive. In fact, the difficulty with parallel working is to proportion the load according to the several capacities of the generators. It is necessary to measure, by means of a wattmeter, the power given out by each machine, and to adjust the excitation and the steam admission until the load is properly distributed. An ammeter is of no use, since it gives no indication of the lag between the current and pressure, and, of course, the omnibus pressure is necessarily the same for all the machines. As already mentioned in 32, p. 179, the engines (or turbines) should Q2 21G ELECTRIC MOTIVE POWER. not have separate governors, but the throttle valve of each should be first properly adjusted and then fixed. The main supply of steam (or water) should be controlled by a single governor, affecting all the prime motors. Further adjustment of output must be made by the field excitation, the safest condition of working being given, not by the minimum current (see Fig. 88, p. 177), but by pushing the excitation beyond the lowest point of the volt-ampere curve, so that a slight rise of speed will increase the armature current, and the converse will bring it to its normal value. Alternate currents lend themselves readily to all of the systems of transmission and distribution discussed in 24 (p. 122) with reference to parallel continuous-current working. That is, they are adapted for (a) Simple parallel and reverse parallel systems, either direct or with transformers. (6) Two-wire feeder systems, direct or with transformers ; and (c) Multiple-wire feeder systems, direct or with regulators or transformers. It is in the transformer systems that they compare most favourably with direct currents, for dynamotors cannot seriously compete with transformers, either in prime cost, efficiency, or durability. It is important to examine carefully the use of transformers, since they are likely to play a leading part in all large power plants in the future. It is sufficiently clear that high pressure is essential in the transmission mains from economical considerations ; and it is also evident that the distributing pressure must not exceed about 500 volts. It has already been shown how these two conflicting conditions are met in continuous-current working by means of regulators, dynamotors, and other devices; all, however, having moving parts, and, therefore, requiring atten- tion more or less continuously, being always liable to break- downs from mechanical defects, and subject, also, to wear and tear from mechanical friction. It would be unfair to the continuous-current systems to lay too much stress on these points, but they undoubtedly must weigh heavily in the ALTERNATORS IN PARALLEL. 217 judgment of engineers when comparing these two important classes of electric machinery. In alternate-current working the connecting link between the feeders and the distributors is the transformer, which has been fully described in Chapter V. Reference is there made 'to the structural details and to the fundamental features of design. It remains to investigate the functions of the trans- former, and to see how admirably it meets the many and varied requirements of power and lighting work. It has been shown that the construction is of the simplest character, involving no moving parts, and comprising merely a laminated iron core and two separate windings of copper wire, the cable being protected by an iron case commonly filled with resinous oil. From the -engineering point of view, it is as near perfection as possible, a machine of the highest efficiency without moving parts, and requiring no attention. If properly designed for the work ex- .pected of it, there is no reason why it should not last for an indefinite period without repairs of any kind. In parallel working the transformers may be banked at sub-stations, and any number may be coupled up to the dis- tributors according as the load varies, the necessary connections being made by an attendant on the spot ; or the switching may be controlled by magnetic devices worked automatically or from the central station. The load factor of each transformer must be kept as high as possible, though the load factor of the station may vary largely. To attain this end it is necessary to select the transformer unit so that the minimum load is about 75 per cent, of the maximum output of one transformer. As soon as the full load of one transformer is reached, a second is switched in. With this arrangement no transformer will run with a load factor of less than 50 per cent., at which the effi- ciency is about 95 per cent. If the maximum load obtains for only short periods it may be advisable to have some larger transformers in addition to the small ones, but this is a matter of detail which must be settled on the merits of each case. Another method, which was largely practised in the early days of alternate-current working (and is still used in com- .mencing a new plant), is to place a transformer in the premises 218 ELECTRIC MOTIVE POWER. of each consumer. It has several disadvantages. In the first place, the prime cost of small transformers is necessarily more per unit of output than that of large ones ; and, secondly, the size of the transformer must be chosen with reference to the maximum, and not to the average, load ; hence the all-day load-factor will of necessity be small in most cases, often in lighting plants not averaging more than 10 per cent. When this system is carried out on a large scale for lighting, the result is disastrous as regards coal consumption, which may reach as high as from 201b. to 251b. of coal per kilowatt-hour at the terminals of the lamps (one Board of Trade unit delivered) ; whereas the best continuous-current three-wire systems consume from Gib. to 81b., and sub- station alternate- current plants not more than from lOlb. to 151b. This disparity, is due to the efficiency of transformers being com- paratively small at low loads, and also because the exciting currents must be supplied whether the secondary circuits are closed or open. Hence the primary circuits carry large idle currents, which are wasted in heating them and the transformers. The power thus lost has been variously esti- mated at from 10 to 15 per cent, of the total station power. This drawback, however, is not likely to be so serious in the case of power work, for with large motors the load-factor will gene- rally be high, and the transformers can always be switched out of circuit when the motors are standing, lamps (if used) being supplied from a separate transformer. And in a case requiring a number of small motors, such as that of a manufacturing town or a large factory, a transformer sub-station can be easily arranged to deal with both light and power work. 42. INCREASE OF RESISTANCE IN CONDUCTORS CARRYING ALTERNATE CURRENTS. With periodic currents it is found that the distribution of the current is not uniform over the cross-section of a solid conductor, but is limited to the outer layers of the metal. This skin effect is the more marked as the frequency is raised. A solid or stranded conductor, therefore, offers a higher resist- ance to an alternate than to a continuous current, and the apparent resistance exceeds the measured ohmic resistance by an appreciable amount. VIRTUAL RESISTANCE. 219 This virtual increase of the resistance of conductors was first discovered by Prof. Hughes during his experimental re- searches, and was brought to the notice of practical men by Lord Kelvin in his Presidential Address to the Institution of Electrical Engineers in 1889. It is now customary to speak of the combined ohmic and skin effects in an alternate-current circuit as the virtual resistance of the circuit. Mr. Mordey has had special opportunities for investigating this important feature, and he has formulated some useful tables which give the practical limits of the effect. Lord Kelvin's figures are used in Table V, and for convenience a current density of 450 amperes per square inch of cross-section has been selected. This gives a loss of 1 per cent, per mile with 2,000 volts, and 1*15 per cent, per 100 yards with 100 volts, these being useful data for primary and secondary mains respectively. The Table also contains the limiting powers for the vanous sizes of con- ductors with this current density at 2,000 and 100 volts respectively. The skin effects are calculated for 80, 100, and 133 <\> per second, which are usual in this country. It is seen that the frequency varies inversely as the square of the diameter of the conductor for the same percentage increase of virtual resistance over ohmic resistance. Table V. Increase of Resistance of Conductors in Alternate- Cur ren i Wo Diameter in inches. Area in sq. in. Increase over ordinary resistance. Current at 4JO amperes p r sq. in. Watts at 2,000 volts. Watts at i 100 volts. ^ per tecoml. 0-3937 0-122 : Less than T (ir %! 55 110.00.1 : 5,500 0-5905 0-274 22% 133 266,000 13,300 0-7874 0-487 8 % 2^0 440,000 | '^2,000 Of) 0-9842 0-760 17 o% ao 1-575 1-95 63 % 3-957 1217 3'3 times ... 0-3543 0-093 Less than i^% 45 90,000 4,500 0-5280 0-7G86 0-218 0394 8^% 93-5 178 ] 97,00i 9.850 356,000 ' 17,800 100 0-8826 0-611 171% ... ... 0-3013 0-071 Less than T Jvy% 32 64,000 3,200 } 0-4570 0-61C2 0-164 0-292 8 % 74 131-4 148,000 263,COO 7,400 13,140 (itt 0-7622 0-456 17 % ... ... ' 220 ELECTRIC MOTIVE POWER. These figures show that the increase of resistance is prac- tically insignificant with conductors of less than O35in. in diameter with frequencies up to 133 'V per second; that with cables of 0'5in. in diameter it is only 2*5 per cent, of the cal- culated ohmic resistance, while with diameters as large as 0'75in. it is as much as 17 '5 per cent. This latter perhaps gives the practical limit of size for stranded conductors for alternate currents. Larger conductors may be built up from insulated strands or tubes, or strips may be used. Probably a fair increase of resistance for ordinary practice will be 10 per cent. ; when, if the calculated ohmic resistance absorbs say 10 E.H.P., the virtual resistance will absorb 11 E.H.P. Examining the output columns, it is seen that the skin effect is not of much importance with the primary circuits ; for, with a pressure of 2,000 volts and 80 ^ per second, 440,000 watts can be transmitted with an increase of resistance of only 8 per cent, over the ohmic resistance, and with 100 <\> 356,000 watts, the former corresponding to 220, and the latter to 175 amperes. These powers (590 and 465 H.P. respectively) are probably sufficient for single mains or feeders, and for exceptionally long- distance transmission the power can be increased by simply raising the pressure. And if higher pressure be prohibited, the number of feeding points can oftentimes be increased. Thus there is nothing in the virtual resistance effect to hinder the transmission of enormous powers with solid or stranded naked conductors, so far as the feeders are concerned. In the low-pressure distributing circuits the virtual resist- ance effect, however, may be of importance, because the watts that can be transmitted with a given percentage increase of resistance vary in inverse proportion to the pressure. Thus, in a 100-volt circuit the load (under the same conditions as referred to in considering the primary mains, i.e., 10 per cent, increase) is only 13,000 for 133 r\>, and 18,000 for 100 ^. If the percentage of increase of resistance be raised, then it may affect the pressure of supply. But it is evident from Table V that the drop from this cause will not be serious in ordinary cases. DEOP IN CONDUCTORS. 221 43. VARIATION OF PRESSURE IN CONDUCTORS HAVING SELF-INDUCTION AND CAPACITY. The next point to consider is the effect of variations of load on the drop. A bank of incandescent lamps is practically a non-inductive load, and the drop can be esti- mated without difficulty from the known ohmic resistance and the small increase of resistance in the mains due to the frequency. But if the load be partly or entirely com- posed of arc lamps or motors, or other devices containing self- induction, then there will be a further drop in the pressure due to a counter electromotive force, which will vary in mag- nitude with the current. The difficulty is met to some extent in lighting stations by running separate circuits for arc lamps. Motors are not yet used to any appreciable extent in alternate-current circuits, and when used are run chiefly by day, when the lighting work is comparatively unimportant. And in the few cases where power work is sufficiently large to warrant the expense, separate circuits are set apart for the motors. The author believes that most of the Continental stations which have tried the dual load have ultimately found it advisable to use separate circuits (at any rate for the larger motors). For, although a varying pressure may be unimpor- tant, perhaps, as regards motors, ifc is a serious matter with arc lamps, and still more so with incandescent lamps. The effect of capacity in a circuit is precisely opposite to that of self- induction, the condenser electromotive force being phasially 180deg. distant from the electromotive force of self-induction. And since both of these effects are functions of the circuit, they may under certain conditions be made to counterbalance each other to some extent. The capacity effect is found in con- centric conductors and in single or concentric mains armoured by continuous metallic sheathing, and it is worthy of considera- tion whether the latter are not of special use for circuits sup- plying alternate currents to inductive loads. At any rate they should tend to cause a smaller drop of pressure than ordinary copper conductors in an inductive circuit. Some idea of the order of these effects in the mains may be gathered from the following. 222 ELECTRIC MOTIVE POWER. First, consider a concentric conductor carrying an alternate current, and assume that the alternator and the motors have neither self-induction nor capacity. Let the terminal pressure of the alternator be V. Now the capacity Kl 1 9x 1Q5 microfarads, . . (43) I being the length of the two conductors, Rj the radius of the inside of the outer tube, R 2 the radius of the inner conductor, FIG. 106. Showing the Effect of Capacity in an Alternate-current Cir- cuit. V is the impressed E.M.F. ; O i A , dynamic current ; O i'i mp , im- pressed current ; and i c , condenser current ; 6, angle by which resultant current leads impressed pressure. and K the coefficient of specific inductive capacity of the dielectric in C.G.S. units. And the condenser current in practical units is ClQ- < \ .... (49) i c and V being effective values. The condenser current is, as already stated, a quarter period* in advance of the pressure. In Fig. 106, let V represent V. SELF-INDUCTION DIAGRAM. 223 Then i c represents i c , i d is the dynamic current, and, of course, is in phase with V. Through d , parallel to (H c , draw i d 2 imp . At i e in K erect the perpendicular i c ? imp , meeting i d imp at ^ imp , and join i imp . Then 4n P is t^ e current that must be supplied by the alternator, and it is in advance of the impressed terminal pressure by an angle 0. Fig. 107 is constructed in a similar way, and shows the lag due to self-induction. FIG. 107. Showing the Effect of Self-induction in an Alternate-current Circuit. V is the impressed E.M.F. ; i c \, dynamic current ; ?'i mp , impressed current ; and 4, current due to E.M.F. of self-induction ; per second, are given in Fig. 111. These data have been determined by Mr. Chas. F. Scott. The wires of the one circuit are marked by black dots, and those of the other by rings. The volts given refer to the E.M.F. induced by each circuit in the other, and will be positive or negative according as the two currents are in opposite or CHANGE RATIO OF TRANSFORMERS. 229 the same directions. The diagram is directly applicable to a single-phase system or to a two-phase system with four wires, and can be readily modified to suit a three-wire system. Mr. A. E. Kennelly has given much attention to the im- pedance of mutually inductive circuits, and has developed an elegant geometrical treatment, which is applicable to most practical problems, even when they involve resistance, self- and mutual-induction, and capacity. The subject is not suit- able for discussion here. The student is referred to the technical Press for further information.* ~ fc / 133 no 0-006 volts. 1 60 r^ 0-0027 155 ~ ' 015 60 r^ 0-0065 (133 r^ Q-035 I 60 rv 0-016 n n * -f 133 ~ ' 070 O O \ 60 rxj 0-032 n n * -f 133 ~ ' 112 " 1 60 nu 0-050 FIG. 111. Showing the number of volts per ampere per 1,000ft, of double circuit due to mutual-induction between two circuits in various arrangements. The wires of the two circuits are severally distinguished by rings and black dots. H4. EFFECT OF CAPACITY UPON THE CHANGE RATIO OF TRANSFORMERS. When transformers are used for testing alternators for insula- tion resistance, it is sometimes noticed that the pressure at the terminals of the transformers is far in excess of that due to the ratio of conversion. This is due to the capacity of the alternator. The effect is of some importance in practice. The theoretical principles on which it depends are difficult to * Especially The Electrician, October 27, 1893 ; and the Transactions of American Institute of Electrical Engineers for April, 1893. 230 ELECTRIC MOTIVE POWER. express without the use of coefficients and complicated equa- tions. But some idea of the order and magnitude of the 1UUUU 8000 5 > 4000 2000 / \ / V \ \ 7 \ s^ ^^-^ ** Microfarads. FIG. 112. Curves showing the Variation in Pressure in the Secondary Circuit of a Step-up Transformer, by varying the Capacity in the Secondary Circuit. The experiments made with a No. 2 Siemens Transformer, and Current obtained from a Wl Siemens Machine, frequency 100 c\j . The Exciting Current kept constant, and Alternator kept running at 750 revolutions during all the experiments. zoo 160 120 (A |so 40 / \ / \ / ' \ ? \ X ^^ * . \ '2 -a Micr 4 -5 -6 -7 afarads. FIG. 113. Curves showing the corresponding Variation in Pressure in the Primary (Low Pressure) Circuit in the same Transformer, by varying the Capacity in the Secondary Circuit. increase of ratio of conversion will be gathered from the curves in Figs, 112, 113, and 114, taken from "The Alternate- COMPENSATING FOR DEOP. 231 Current Transformer in Theory and Practice," by Dr. J. A. Fleming, Vol. II., pp. 396-398. The point to be specially remarked in connection with power work is that long concentric conductors have considerable capacity (about O33 microfarad per mile run), and hence may readily cause effects of the order shown in the experiments. They will be most marked with step-up transformers of large size. It is also important to notice (see Fig. 114) that there is a critical value of the capacity for the given self-induction of the circuit which will produce a maximum rise of pressure, and that the ratio of conversion is steadily increased as the capacity increases (to in this case 0'65 of a microfarad). 3 -4 Microfarads.' FIG. 114. Curves showing the Dependence of the Ratio of Transforma- tion of Pressure between Primary and Secondary Circuit on Capacity of , -Secondary. Deduced from the experiments illustrated in Figs. 112 and 113. It is, therefore, theoretically possible to compensate for the drop of pressure at the far end of a feeder by putting a suitable capacity in the circuit. 45. COMPENSATING FOR DROP OF PRESSURE IN CONDUCTORS. There are several methods in use at present for compensating the variations of pressure in the feeders or in the transmission mains. The most common consists in simply adjusting the excitation by hand or automatically, the generators being separately excited ; another consists m compounding the alternators in a manner similar to that adopted with dynamos, the alternators being either self-excited or else partly self- excited and partly separately excited. R2 2M ELECTRIC MOTIVE POWER. Hand regulation by a resistance in series with the field-coiJ circuit is easily understood, and there is no need to make any special reference to automatic devices whose function is simply to vary the resistance of the exciting circuit. The Brush Company, Messrs. Ganz and Co., Messrs. Easton, Anderson and Goolden, and others, make automatic regulators of this description, and the author has spent much time in designing similar devices, but in his opinion they cannot be regarded as complete successes, and certainly are not adapted for use in power plants where there is no skilled super- vision. Compound winding, however, is a practical device. By Field Coil Field Coil. FIG. 115. Thomson-Houston Method of Compounding Alternators. b b, Collector rings. means of it alternators can be made to compensate for any pre- determined drop, and therefore to meet most of the regulation difficulties in the feeders. The arrangement adopted by the Thomson- Houston Compivny is to partly excite the field from a dynamo with a steady current and to provide a variable ex- citation by redressing a portion of the main current and passing it through a pair of coils opposite to each other, or through coils on each of the field poles. It is clear that, since the arma- ture current is redressed, the excitation due to it will be proportionate to the load. The arrangement is shown in Fig. 115. The two main col- lecting rings are shown at b b. The " redresser " consists of COMPOUNDING ALTERNATORS. 233 "two circular gun metal castings, having each half as many projections as there are pole-pieces in the field; both being insulated. One of these is permanetly connected to one of the collecting rings and the other to the free end of the armature coils as shown. Two brushes, resting on projections belonging to opposite rings of the redresser, form the terminals of the exciting circuit. To reduce sparking at the instant of short-circuiting the field coils when the brushes rest on the same rings, a suitable resistance is placed in shunt to the field, -and this serves in addition to control the proportion of current in the exciting coils, and therefore to vary the compounding within the limits of the design. This is a very complete and convenient device. It is characteristic of the methods generally Fig. 116. Kapp's Method of Regulating the Drop of Pressure at the end of a Feeder. adopted by Messrs. Ganz and others. Alternators thus com- pounded will work in parallel as readily as separately-excited machines.* Another very simple plan is to place the primary of a suitable transformer in series with the feeders, and to excite the compound coils from its secondary current, redressed. Since this current is proportionate to the armature current, it is clear that the compounding can be arranged to any slope of characteristic. A device patented by Mr. Kapp is interesting in this connection. It is shown in Fig. 116. * See letter by Mr. E. M. Mix, The Electrician, March 23, 1894. 234 ELECTRIC MOTIVE POWER. One coil, P, of a small transformer is placed in series with the feeder, and the other coil, S, is coupled across the station, mains. By inserting more or less of the coil S in the circuit by a shifting contact, a few auxiliary volts are put into the feeder by the inductive action of the shunt-coil. This regula- tor may be designed to add a sufficient number of volts to com- pensate for any desired drop. It may be applied to each feeder independently, although all the circuits are working off one alternator. This is a distinct advantage, and makes it a most convenient device for power plants. The Westinghouse Com- pany use a similar arrangement, which they call a " booster." 46. MEASUKEMENT OF PRESSURE AT THE END OF FEEDERS. The pressure at the termination of the alternate-current feeders may be read by means of two transformers, without the aid of pressure wires run back to the station. The general FIG. 117. Diagram of Station Voltmeter Connections for Reading Pressure at the far end of Feeder. arrangement is as follows : The voltmeter is in series with the secondary circuits of two transformers, one of which has its primary in series with the feeder, and the other its primary as a shunt across the feeder. It is illustrated in Fig. 117. The pressures of the two transformers are opposed to each other. The secondary pressure of the transformer in shunt is proportional to the station omnibus pressure, V ; and that of the transformer in series to the primary current strength i my and therefore to i m R, if the resistance be constant. The volt- meter will consequently read proportionately to V-^ m R, which is the expression for the pressure at the far end of the feeder. This principle, with important modifications, is employed by Messrs. Ganz and Co. Its application is shown MEASUREMENT OF PEESSUEE IN FEEDERS. 235 in diagram in Fig. 118, the adjustable resistance in the exciter circuit being also shown. The feeders are shown at L! L 2 , the shunt transformer at T I} and the series transformer at T 2 . The secondary circuit of T x is closed through the solenoid of the regulator S, the resistances R 3 , R 1 and R 2 . The secondary of T 2 is closed through the resistance R 2 . The transformers are joined up so that their electromotive forces are in opposition as regards producing a current in the Shunt Transformer AltarnAtor. /WWVWA MMAM 2 Feeder. Transformers FIG. 118. Ganz and Co.'s Method of Compensating for Drop in Feeders. solenoid S. The terminal pressure of Tj is evidently pro- portionate to the station pressure. The difference of pressure between the points a and b, the terminals of R 2 , will be pro- portionate to the feeder current ; and so the pressure between the points e and / will be equal to V i m R, the pressure at the termination of the feeders. The intensity of the current in the solenoid circuit will determine the excitation, and hence the pressure at the sub-station can be kept constant for variation 236 ELECT EIC MOTIVE POWEE. of drop. It will be seen that a Cardew voltmeter is used to read the primary pressure. This is made possible by a suitable ratio of conversion in the transformers. It will be evident that these methods of reading the sub-station pressure are only applicable when the virtual resistance of the feeders is practically constant, or varies according to some easily deter- mined law, in which case the voltmeter can be specially calibrated to include these effects. 47. COMPENSATORS, OR REGULATORS. The Thomson-Houston Company use, in particular cases, a compensator, whose functions are similar to those of the " re- gulator " referred to on page 135, with two-wire continuous- current feeders and multiple-wire distributors. This may be of use for power work in cases where the regulation of the supply < ig r 9 .9 BOOv. Compensato FIG. 119. Prof. Elihu Thomson's " Compensator " System applied to Power Circuit. pressure presents difficulties. The plan of connection is shown in Fig. 119, the " compensator" being simply a choking coil, with its circuit divided into as many parts as there are sub-circuits. Each of the distributing circuits is assumed to be at 125 volts. When the load is evenly divided between the circuits the compensator will carry practically no current, owing to the impedance of its coils, which are wound round soft iron wire. But if the load be removed from one of the four circuits, the compensator coil, say coil A, in parallel to it will act as the primary of a transformer, and induce in the remain- ing coils of the compensator, B C D, a secondary current which will act in the outer circuit in the same direction as the MULTIPLE WINE DISTRIBUTION. 237 main current. The coils B, C, D will supply - amperes, i being the current for two motors (assuming the circuits to o be equally loaded), and the alternator will supply f i amperes. 4 If the two circuits A and B are opened, then the coils C and D will supply *- amperes, and the alternator an equal number. The regulating capacity of the compensator is, therefore, seen to be in this case equal to four times the current it is designed to carry. It is evident that small differences of load between the various circuits are readily compensated by this ingenious device, which may be defined as a combination of a transformer .and a direct system of distribution. t 200 v. 2000 v. < <^ 200 vr 1 H 200 v, <$> i ^ SYNCHRONIZING ~Si FIG. 122. Arrangement of Impedance Coils used in putting Thomson Alternators in Parallel. The impedance coil is shown separately in Fig. 123. It consists of a laminated iron ring, with a few turns of well-insulated wire wound round about one-eighth of the circumference. A copper sheath is arranged so as to be capable of rotation about the centre. The sheath is of such width as just to surround the coil. When the winding is covered, the device corresponds to a transformer with the secondary circuit short-circuited, and the impedance is then very slight ; as the sheath is gradually removed the impedance increases; when the stationary coil is entirely uncovered the device has its maximum effect. In REACTIVE COILS. 241 some forms the impedance coil is short-circuited when the sheath completely encloses it. These impedance coils are useful for balancing loads between machines and for varying the pressure of feeders ; they generally act the same as rheostats with continuous currents, but have the advantage of consuming less power. Parallel working is without doubt assisted by using a moderate rate of frequency, say not more than about lOO'X/ ; but there is no gain in reducing it below about 50 to 60 ^. It is also necessary to synchronise the engines as well as the alternators if the running is to be perfect. This points to the use FIG. 123. Impedance Coil, or Dimmer. of high-speed engines with flywheels and moving parts of small inertia, so as to readily lead or lag as the conditions of working may require. For the same reason the engine should not be governed directly, as the better the governor the greater the difficulty of varying the rate of speed. The station governor should be designed to control the steam admission to the bank of engines, and the load should be distributed pro- portionately by varying the excitation. A "trip" governor should be used on all engines of this class, to check racing in the event of a belt breaking or slipping off, a fuse blowing. or other similar accident .242 ELECTEIC MOTIVE POWEE. 49. ALTERNATE-CURRENT MEASURING INSTRUMENTS. It has already been stated that the energy of an alternate- current circuit is proportional to the ^/mean square value of the instantaneous values of the current, and it has also been stated that this x /mean square is equivalent to that of a con- tinuous current that will produce the same heating effects. Therefore, alternate-current measuring instruments are cali- brated by direct currents, and the readings on the scales are accordingly proportional to the ^/mean square of either con- tinuous or alternate currents. A few hints of a practical nature will assist engineers in selecting suitable instruments. Some of the most practical forms of instruments in general use are tabulated in Table W, the names of typical designs being given. Table W. Examples of Practical Instruments suitable for Power Stations. Voltmeters. Ammeters. Wattmeters. Electro-dynamic Electro-magnetic fElihu Thomson, -j Evershed,Dolivo, 1 Ayrton & Perry /Siemens' Dyna- \ mometers (Evershed, Elihu 1 Thomson, Kelvin, 1 Ayrton & Perry, vDolivo /Kelvin, Swin- \ burne Electro - thermal Electro-static ... Cardew, Holden f Kelvin's Multi- cellular, Swin- \burne, Ayrton & Mather ... /Holden, Ayrton \ and Perry ... ... It is desirable, if possible, to have direct-reading pressure instruments, which are directly applicable to the circuits, without non-inductive resistances in series with them, both because the details are simpler and also because the energy wasted in the resistance is often considerable. For this latter reason electro-thermal, or hot-wire, instruments, although very MEASURING INSTRUMENTS. 243 convenient for reading low pressures, say up to 150 volts, are objectionable if kept in circuit. For high-pressure work the most practical instruments are of the electro-static type, for they absorb scarcely any power. If hot-wire instruments are used to read high pressures, it is advisable to have a voltmeter transformer with a suitable ratio between the primary and secondary. Thus, with a 2,000-volt primary and a 100-volt secondary, a convenient ratio of con- version will be ^j-. This transformer method is more expensive in first cost than direct-reading with a multicellular voltmeter, and it also wastes more power, probably absorbing about 30 watts in the hot-wire and 30 in the transformer. Current-measuring instruments are generally kept in circuit, and hence it is important that they should waste little power. For reading large currents electro-magnetic instruments of low resistance are perhaps as good as any of the other types. The electro-dynamic method has the disadvantage of requiring mercury contacts. The hot-wire principle is used with success for measuring current, but the instruments are necessarily delicate, and the author does not advise them for power work as a rule. The electro-chemical principle is not generally applicable for ordinary commercial purposes. Ohmmeters are useful when erecting station plant, but they they are not necessary for every-day work. "Wattmeters, or power meters, are of the utmost importance in all stations where economy of prime power is an object. One should be placed in the circuit of each alternator, to indicate the power given out by the machine. This enables the attendant to divide the load between the several alternators according to their capacity, and thus to work with the smallest excita tion. One of the best forms of this instrument for station use is Lord Kelvin's engine-room wattmeter. The appearance of the interior of the instrument is shown in Fig. 124. It has a main circuit of a double rectangle of copper rod. The pressure coils are made of fine wire wound in the shape ol 244 ELECTRIC MOTIVE POWER. a pair of spectacles, and are in series with a non- inductive- external resistance. The general arrangement of the movable shunt coils, the suspension springs, and the gravity adjustment for calibrating are shown in Fig. 125. Each of these shunt coils has about 1,000 turns of insulated wire of approximately 1,000 ohms FIG. 124. Lord Kelvin's Engine-room Wattmeter. General view of instru- ment, with case removed. resistance. The scale has nearly uniform divisions, and is graduated to read directly in watts or kilowatts, as required. Siemens' dynamometer-wattmeter is also a practical instru- ment, but as usually designed absorbs more power than Lord Kelvin's. If a wattmeter be made recording it answers the purpose of an ergmeter, for the load curve is easily integrated by a PRECAUTIONS WITH ALTERNATE CURRENTS. 245 planimeter, and thus a continuous record of the station output may be kept without much expense or trouble. It is not necessary to put the full primary pressure on the terminals of the shunt-coil of the wattmeter ; a suitable trans- former may be used to reduce the pressure to a convenient fraction, and hence a small movable coil, carrying a mere ciace of current, may be used, and will add considerably to the accuracy of the instrument. Ergmeters, or energy meters, are not yet in common use, and are not likely to be much used for power purposes. FIG. 125. Lord Kelvin's Wattmeter. Fine-wire Shunt Coils, showing details of suspension. Controlling springs removed. 50. PRECAUTIONS TO BE OBSERVED IN ALTERNATE- CURRENT WORKING. Owing to induction and capacity effects, it is usually neces- sary in alternate- current circuits to observe certain precautions in starting and stopping alternators, in opening and closing circuits, and in adding or withdrawing feeders from omnibus bars. It must be recollected, however, that these effects are largely the result of the self-induction of the alternators, and that generally there will be no difficulty when the armatures have comparatively small reactions, as is the case with the Mordey alternator, for example. 246 ELECTRIC MOTIVE POWER. The chief danger to be apprehended is a sudden variation of pressure, which may be sufficiently large to break down the insulation of the circuit at one or more points or to seriously affect the load. This is due both to the change of conversion ratio in the transformers and to the variations of impressed pressure in the alternators. The precautions to be observed are : Never open a high-pressure circuit containing self-induction or capacity, without first slowing the alternator or weakening its excitation, or reducing the load by an impedance coil. Never switch an alternator into parallel with another machine without first adjusting its excitation so that the coupled alternators will give the proper omnibus pressure. Never switch an alternator out of parallel without adjusting its excitation (and that of the remaining machines if necessary) so as to leave the omnibus pressure unaffected. An alternator of large self-induction requires to be excited to a higher pressure than that of the omnibus bars before coupling in parallel, as the terminal pressure will fall considerably when the circuit is closed. In taking such a machine out of parallel the excitation may be reduced until the current is nearly zero ; or the speed may be lessened until the same end is attained. The switch under these conditions may be opened without a dangerous spark. If, however, the conversion ratio of the transformers be affected by the capacity of the circuit (as occurs with step- up transformers and concentric mains), then the incoming alternator with large self-induction must be under-excited, in order to bring it into such a condition that it can be coupled to the active machines without affecting the pressure at the far nd of the feeders. And, conversely, in taking it out of parallel the excitation must be raised a little, in order to avoid serious sparking on opening the circuit. These effects have been noticed in practice, and are explained by an alteration of the capacity and self-induction of the circuit affecting the conversion ratio of the transformer. SAFETY DEVICES. 247 ,51. EARTHING THE PRIMARY AND SECONDARY CIRCUITS OF TRANSFORMERS; SAFETY DEVICES. In transformer work there is a chance of the primary pressure invading the secondary circuit. If this occurs there may be danger to life. And this is the more serious, since, in most cases, the leakage is entirely unsuspected by the con- sumer. To obviate this danger various arrangements have been suggested, and some have met with the approval of the Fire Insurance Offices and the Board of Trade. The safest plan, perhaps, is to ground one of the primary cables close up to the station (as is done by the London Electric Supply Corpora- tion), and to place between the secondary circuit and earth a device which will ground the secondary circuit the instant the high-pressure current enters the consumer's circuit. This will cause a large primary current to now, and hence the primary fuses will blow and cut off the premises. The danger to life is entirely obviated, unless the transformer or other device has a large electro-static capacity, but this is never the case with ordinary transformers. There are three protective devices in general uso : Major Cardew's " Mouse Trap," Mr. Kent's metallic sheath, and the Thomson-Houston film cut-out. The Cardew safety device is shown in Fig. 126. It consists of two brass plates placed near together, but insulated from each other. Between them is a strip of aluminium foil attached by ebonite pins at one of its ends to the bottom plate. One plate is connected to earth, and therefore to one of the primary mains, and the other to the secondary circuit. As soon as a leak occurs between the primary and secondary circuits of the transformer there is an electro-static pressure between the plates, and when this equals a definite number of volts the free end of the foil is attracted and makes contact with the top plate. This grounds the secondary circuit, and the primary current blows the primary fuses. Mr. Kent's arrangement consists of an earthed metal ring, properly slit to avoid eddies, placed between the primary and s2 213 ELECTRIC MOTIVE PuWER. secondary windings. Any fault of insulation in either circuit can be made to ground the coils and blow the main fuses. The film cut-out of Prof. Thomson is merely a piece of prepared paper between two metallic contacts. This paper is pierced when the pressure between the contacts exceeds a predeter- mined amount. Thus the paper insulation will easily stand the secondary pressure of, say, 100 volts, but will break down instantly it is subjected to the high pressure of the primary. In practice one of these film contacts is connected to each of the secondary mains. FIG. 126. Major Cardew's Earthing Device, for protecting Transformer Circuits. Mr. Ferranti has devised a very ingenious method for pro- tecting transformer circuits from the risk of partial earth (always a source of danger, since a second ground on the same circuit will cause a dead short-circuit on the secondary, and may cause a fire). This method requires the middle of the secondary circuit to be permanently earthed. It is perhaps more useful at present as a testing device for partial grounds, as the Fire Offices' regulations do not generally allow any part of the consumers' circuit to be earthed. But for power plants, where these restrictions do not obtain, the device is most useful. The arrangement is shown in Fig. 127. EARTHING DEVICES. 249 It will be seen that there are two small transformers across the secondary mains, with a ground wire from their point of junction. Their pressures are arranged in opposition, and normally no current flows through them. If, however, another earth, full or partial, is made in one of the secondary mains, the corresponding transformer will cease to produce current, and, the balance of pressure being upset, a current will flow in Station. To Station J Fuce. House Transformer. VWWWVWVW^ AAAAAAA/SAAAAAA j-AAAAAAA VWWXA-j Safety Device Transformers. FusKbleAVire. To Lamps. To Earth. FIG. 127. Ferranti " Earthing Device," for Transformer Protection. their secondary circuit, and will melt the fuse, thereby allowing a conical plug to drop into the split cup shown in the diagram. This short-circuits the secondary circuit and blows the primary fuses. It is urged strongly by most of the leading electrical engineers that the secondary circuits should always be earthed 250 ELECTRIC MOTIVE POWEE. as well as the primary. If this were generally practised it would be impossible for a plant with defective insulation to remain in connection with the high-pressure circuit, for the main fuses would blow out as often as the main switches were closed. With the existing compulsory regulations, it is possible for a bad earth to exist on an installation until a second earth reveals its existence, possibly by a fire. CHAPTEE VIIL POLYPHASE ALTERNATE-CURRENT WORKING. 52. Definitions ; Two-phase Currents. 53. Three-phase Currents. 54. Relative Merits of Two-phase and Three-phase Currents. 55. Polyphase-Current Transformers ; Diagrams of Connection?. 56. Combination of Two- and Three-phase Circuits. 57. Synchronous Polyphase Motors. 58. Present Practice in Polyphase Alternators and Motors. 59. Winding ; Starting Torque ; Power Factor. 60. Combination of Polyphase and Continuous Currents ; Rectified Currents. 52. DEFINITIONS; TWO-PHASE CURRENTS. THE term polyphase is applied to circuits in which two or more alternate currents, of the same wave length and direc- tion, succeed each other at regular intervals. In practice, the number of impulses is usually limited to two or three, and the systems are then severally distinguished as two-phase and three-phase. An alternate current (single or multiple), when used to excite field magnets, produces a rotating magnetic field; that is, the axis of the field rotates with reference to space, though the windings are stationary. This is seen to be the case by considering an ordinary two-pole series-wound motor which is supplied with a single-phase alternate current. The poles will change from north to south polarity at every half period, and the axis of the magnetic field may be regarded as rotating, making one complete revolution in each period. Such a motor is, therefore, said to have a rotary magnetic field, and on the Continent is called a Drehstrom motor. A continuous-current motor, however, is not adapted for working with alternate 252 ELECTEIC MOTIVE POWER. currents of the usual frequencies, since the self-induction of the field-magnet circuit is too large.* If two separate currents, with phase intervals of 90deg., be supplied to a four-pole motor, in which the armature consists of an iron core with windings short-circuited, either through brushes or else by rings of metal at each end, a rotary magnetic field in the stationary part will result. And this will induce currents in the closed coils of the arma- ture whose direction will be such as to cause a magnetic field FIG. 128. Four-pole Two-phase Motor. tending to stop the rotation of the main field. This will be understood by examining Fig. 128, which represents a four-pole two-phase motor, having neither commutator nor brushes. There are two alternating exciting circuits, AA X and B B p in quadrature. * Attempts have been made, but with little success, to overcome this difficulty by laminating the magnet?, lowering the frequency, and modify- ing the windings, so as to reduce the self-induction as much as possible, and to limit the hysteretic and eddy-current losses. Vide " The Distribu- tion of Power by Alternate-Current Motors," by Albion T. Snell ; Proc. Institution of Electrical Engineers, Vol. XXII., part 106. TWO-PHASE CURRENTS. 253 Suppose that A and A 1 be magnetised so as to cause lines of force to pass from A to A l through the armature C. Then B and B x will be neutral, for there will be no current in them at this moment. Next, the current in A Aj will gradually die away ; and that in B Bj will steadily rise in an equal ratio but opposite direction until the magnetic flux is from B to Bj, and A and Aj are neutral. This cycle will be repeated, but with this alteration the current in A A x will rise to a negative maximum (assuming it to have been positive before), and the flux will be in the direc- tion of A 1 to A, and in the next wave from B x to B. Carefully noting these changes, it is seen that the magnetic field has rotated once for a complete oo in each of the circuits ; and therefore the speed of the field rotation is , where N is the P number of ou per second and p is the number of pairs of poles in one circuit. In the case referred to, since p = 1, the revolu- tions of the magnetic field will be the same as the number of <~v . In a two-phase dynamo the closed-circuit armature is re- placed by a suitable electro-magnet, excited by a continuous current. Two-phase periodic currents are induced in the two circuits A A : and B B 15 the phase difference between them being 90deg. Mathematically the currents in the two circuits may be expressed thus : That in A A! = K sin a, B B! = K cos a = K sin ( a - \ which shows the phase difference between the two currents. Now K is a constant for the particular machine, and a is a measure of the angular motion of the field. It will be seen that the current in A A! is a maximum when a is equal to Q - and - TT, and is zero when a is equal to and IT. The converse of this is the case with the current in B Bj. 254 ELECTRIC MOTIVE POWER. Two-phase current circuits are usually worked with four wires two for each circuit but three wires, one having a sec- tion V41 times as great as that of each of the others, may be used. The latter arrangement is possible because the large wire will act as a common return for the two currents, the sum of whose instantaneous values is 1*41 times that of either. This will be seen on reference to Fig. 129, in which the full line curves relate to the impulses acting in the directions A A x and B B x ; and the dotted line curves to those in the directions A! A and BjB. Curves A and B show the current-fluctuations in the two circuits, and D that in the common return. The magnetic field FIG. 129. Diagram of Two Periodic Currents with a Common Eeturu. Phase Difference of 90deg. will be caused by A and B alone, and, therefore, will be pro- portional to their sum at any instant. When A is a maximum B is zero, and the induction at this moment is proportional to the current in A alone, and is equal to, say, i sin - = i. When A and B are equal, as at 135deg. of field rotation, the induc- tion is proportional to 2 i sin 135deg. = i 1'4. Thus the current varies in intensity between 1 and 1*4. To illustrate the fluctuation of the field excitation the sign of the negative curves in Fig. 129 may be changed, and they may be plotted above the time line as if they were positive in value (see Fig. 130). EXCITATION WITH TWO-PHASE CURRENTS. 255 This diagram is justified by the consideration that each circuit in the motor contains at least two coils wound in opposite directions, and thus produces poles of different signs. In Fig. 130 the excitation fluctuation is shown by the top curves, which may be regarded as having reference to one of the poles of the rotary field, say the north pole. Since the theoretical mean variation of the exciting current is as much as 15 per cent., it may be supposed that the magnetic induction also varies by nearly as large a percentage, but this is not the case. These curves are deduced upon the supposition that the exciting circuits have no self-induction, whereas, on the contrary, they have much. And, further, SO 160 270 300 6O FIG. 130. Diagram of Excitation Variation with Two-phase Current. Phase Difference of QOdeg. the resultant field cannot vary in intensity between such wide limits as those indicated in the diagram. Indeed, it is safe to assume that the field will be nearly steady as long as the effective values of the two currents are equal and their sum is constant. Armature reactions introduce serious complications, for their effect depends partly upon whether the current leads or lags the impressed electromotive force, and partly on the amount of the phase difference between the pressure and current. As already pointed out, when considering single-phase alternate-current machines, armature reactions tend to magnetise the field when the current leads and to demagnetise the field when it lags. The effect will be a maximum at starting, will decrease as the armature speed increases; and will be nil if the speeds of armature and field coincide, i.e., if the motor works synchronously. 256 ELECTRIC MOTIVE POWER. 53. THREE-PHASE CURRENTS. Three-phase current working presents several advantages, but entails complications in the design of the machine, and also in the regulation of the pressure, because the three cir- cuits are connected. This is demonstrated in the following abstract from a paper by the author entitled " The Dis- tribution of Power by Alternate-Current Motors," which was read before the Institution of Electrical Engineers in the spring of 1893. Fig. 131 represents diagrammatically the phases of three equal periodic currents separated by intervals of 120deg. ; the FIG. 131. Three Equal Periodic Currents separated by Phase Intervals of 120deg. full and dotted lines referring to the direction of the impulses, as already explained for Fig. 129. If A, B, C represent the three currents, then their instantaneous values are severally given by:- A = K sin a, 2 B = K sin (a - - TT), 3 C = K sin (a - 1 TT). o o 4 Now, K { sin a 4- sin (a - " TT) + sin (a - - TT) } = 0, as is easily 3 o proved ; and, therefore, THREE-PHASE CURRENTS. 257 It may be seen that the algebraical sum of the instantaneous values of the three currents is equal to zero under all condi- tions ; for, even when one of the quantities is equal to nought, the remaining two are equal, and, being of opposite sign, cancel each other. Three-phase current working is accomplished by parallel or series coupling of the circuits, the two methods being severally FIG. 132. Parallel, or Closed Circuit, or Triangle Three-phase Coupling. known as the triangle and star sj stems. In the following diagrams large capitals are used to distinguish the mains, and small letters to denote the windings. Suffixes are used to mark the phase order of the circuits. The parallel or closed circuit, or triangle coupling, is shown in Fig. 132. Let I 1? I 2> L be the effective values of the several FIG 133. Three-phase Dynamo coupled to a Motor. currents flowing in the mains, and i lt i^ i 3 the corresponding effective currents in the coils. Also, let V 15 V 2 , V 3 be the effective pressures at the terminals of i v i z , i 3 . And assume there is no self-induction or capacity. Then, if the load be equally distributed between the mains, we may assume 258 ELECTEIC MOTIVE POWER. Also, since i is in phase with v, and I lies SOdeg. removed from i, it follows, if the mains be fed with a combined three-phase current (as in Fig. 133), that the current in one main will differ in phase by 30 deg. from the pressure between it and the two other mains. This follows from the FIG. 134. Diagram of a Three-phase Circuit. geometrical relationship of the coils and the mains. And the effective value of the current in each of the mains is equal to 1*732 times the effective current in each of the coils, when the circuits are equally loaded. In Fig. 134 let the currents in the mains and in the coils be considered positive when flowing FIG. 135. Diagram of a Three-phase Circuit. in the direction indicated by the arrows. The phase and mag- nitude relations of these currents will then be represented by Fig. 135 ; and if this diagram be supposed to revolve uniformly around its centre, the length of the projections of the sides on any fixed straight line will represent the instantaneous THREE-PHASE CURRENTS. 259 values of the corresponding currents ; for it is plain that these projections satisfy all the necessary conditions, viz. : ^ = ^-^^1 -*n-h :_.: -H All instantaneous values i.e., the lengths of the projections of the x + 1 2 + IB = I corresponding sides of Fig. 135. Again, the sides of the diagram are proportional to the effec- tive values of the corresponding currents; and, if the load be equally distributed between the three mains, then for effective values, I x = I 2 = I 3> ^ = i 2 = i. 3 ; and Ij = 2 i z sin GOdeg. ; or, generally, 1 = 1*732 i. This proof is due to Dr. W. E. Sumpner, Professor of Electrical Engineering at the Battersea Polytechnic. v s FIG. 136. Diagram of Relative Position of Curves of Currents in Mains and Coils of a Closed-type Combined Three-phase Circuit, with no Self- induction or Capacity. By a similar diagram the relation between the effective pressures on the coils and mains in the open or star arrange- ment can be shown to be V = 1'732 v. (See Fig. 137.) The relative positions of the phases of currents and pressures in the mains and coils of a combined three-phase circuit of the closed type with no self-induction are shown in Fig. 136, V and e having the same value and coinciding in phase. It will be seen that the maxima of the currents in the mains, I, are always 260 ELECT 'RIG MOTIVE POWER. midway between those of the coils, i, and that the phase difference between them is SOdeg. The series, open circuit, or star coupling is shown in Fig. 137- As before, let there be no self-induction or capacity, and let I 1= =I 2 = I g - i 1 = i 2 = i 3 ' and V 1 = V 2 = V 3 . Now, since the mains, I, are in series with the coils, i, and there is by hypothesis no self-induction or capacity, I^^, I 2 = *2> anc ^ 1$ = iy But the pressures between the mains are not the same as those at the coil terminals, and v will be in advance of V by SOdeg., and will be numerically equal to , or v = , therefore, 2 sin 60 1-732 V = 1-732 v. FIG. 137. Series, or Open Circuit, or Star Three-phase Coupling. The phases of current and pressure in a combined three-phase circuit of the open type are shown in Fig. 138, 1 and i having the same value and coinciding in phase. The conclusions thus arrived at are true only on the assump- tions (a) that the coils themselves have no self-induction, and (b) that both the coils and the mains are equally loaded. The first condition is never found in practice, and the second is only likely to obtain with small motors, and then only in an THREE-PHASE CURRENTS. 261 approximate degree. The effect of self-induction is to cause the current in the coils to lag behind the pressure at the terminals. To measure exactly the power in a three-phase system is difficult ; but it can always be done by measuring the work performed in each of the separate circuits, and adding the quantities. In Fig. 136, the power = 3 iv = 3 x V -i-_ = V x I x 1-732, if the three circuits be equally loaded and there be no self- induction or capacity. FIG. 138. Diagram of Relative Position of Curves of Pressures and Currents in the Coils and Mains of the Open-type Combined Three-phase Circuit, with no Self-induction or Capacity. In Fig. 137, also, the power = 3^ = 3x1 ^ = V x I x 1-722, on the same assumptions. So it appears, if there be no self-induction and an equal load in each circuit, that the number of amperes in one of the mains multiplied into the pressure between two mains into 1-732 gives the power in watts. If there be self-induction, the above quantity must be multiplied by the cosine of the angle of lag between the current and the pressure. The energy absorbed by a motor, therefore, will be expressed by Vxlx 1-732 cos <, where c/> is the angle of lag. 262 ELECTEIG MOTIVE POWER. Dr. W. E. Sutnpner suggests that when the three circuits are equally loaded the power can be measured by one wattmeter (see Fig. 139). Put the current coil in one of the mains, say I 2 , and take two readings, one with the pressure coil coupled between I x and I 2 , and one with it coupled between I 2 and I 3 . The two readings will be found to be of the same value, and the power will be equal to their sum. FIG. 139. Method of Measuring Power in Three-phase Circuit, with Mains equally Loaded. When the load is unequally distributed, two wattmeters are required (see Fig. 140). Place the current coils in two of the mains, say I : and I 3 , and couple one pressure coil between I t and I 2 , and the other between I 2 and I 3 . The power is then the sum of the two wattmeter readings. o o FIG. 140. Method of Measuring Power in Three-phase Circuit, with Mains unequally Loaded. This method of measuring power is applicable whatever the law of variation of the current, and however unequally loaded the mains may be. It has been shown on page 258 that with combined three-phase currents, even when neglecting the self-induction of the coils, there is a constant phase difference between the current and ROTAEY MAGNETIC FIELDS. 263 the line pressure. This, although not in itself a direct loss, causes difficulty in measuring, regulating, and controlling the currents. Hence it has been found expedient to work the dynamo circuits unconnected and to use six or more separate coils. The currents from these are combined by a suitable transformer so as to convert the secondary currents into a com- b'nel high-pressure rotary current, with phase differences of 120deg. This high-pressure current is reduced at the motor end of the line by another transformer and subdivided as re- quired. It is not a simple matter to represent the intensity of the magnetic field by a diagram, for the magnetism is not merely the result of the exciting current in the field coils, but is also largely affected by the magnitude of the induced currents in the closed coils, which vary from instant to instant with the fluctations of load. There are two periodic currents acting in the closed coils one of high frequency, equal to the number of the pairs of field poles multiplied into the number of revolutions per second ; and one of lower frequency, which depends simply on the difference of speed rotation between the revolving field and the rotating coils. The low-frequency current produces the torque, and is highest at starting, when the slip of the armature is greatest. It is expressed numerically by n , where N = the number of revolutions of the magnetic field per minute and n = that of the rotating coils. For example, if N = 2,400 and n = 1,920, then the frequency will be 8 per second. In determining the excitation for polyphase motors and dynamos it is, therefore, necessary to make two calculations, one for full and one for light load, just as with direct-current machines. It is clear that it is not possible to represent the changes of the rotary field magnetism by a general diagram. Fig. 141, however, shows diagrammatically the relative position of the current and pressure curves in a combined three-phase circuit, with the resultant excitation, assuming the armature reactions to have no effect i.e., the field and coils are supposed to rotate at nearly the same speed. An arbitrary angle of lag of T2 264 ELECTRIC MOTIVE POWER. 30deg. between the pressure and the current in the exciting coils has been assumed, and the curves have been drawn to suit the sine law. The pressure is shown in V V, and the current in ii. The resultant excitation is indicated in curves R R, the limits of which are 2i and 1-732*, a mean difference of about 8 per cent. This is true only when self-induction and armature reactions are neglected ; if these be taken into account, it is sufficiently clear that the field is approximately constant, and that is ail- that is necessary in practice. The torque will vary with the ampere-turns and the number of lines of force in the circuit. The torque = ^ , where i & K i is the current in the short-circuited coils, C is the number of 120 180 240 300 360 CO FIG. 141. Diagram of the Excitation Fluctuations in a Combined Closed-type Three-phase Circuit. turns, K! is a constant, and N is the magnetic flux in the resultant field. The magnetism is determined by the excitation, and the number of turns of wire is, of course, fixed for a given design; hence, to increase the torque, it is necessary that the moving part rotate more slowly that is, the slip must be increased. This raises the frequency, and consequently the magnitude, of the current in the closed coils, thereby weakening the resultant field and lowering the counter electromotive force of the exciting coils, and allowing more current to flow in them. But, since the resultant magnetism decreases as the current in STAETING POLYPHASE CIRCUITS. 265 the closed coils increases, there is a point at which the torque is a maximum. This corresponds to a definite line current, which is not necessarily the starting current, and hence these motors do not necessarily exert their greatest effort at starting. To obtain maximum torque at starting, it is necessary to insert resistances in series with the closed-circuit coils. The function of the resistances is to determine the critical current, thus limiting the armature reactions ; and also to regulate the lag in phase between the currents in the closed and exciting coils. In order to avoid large rashes of current when closing the line circuit, it is advisable to insert variable resistances in FIG. 142. Combined Series and Parallel Three-phase Couplings. series with the closed windings. This is specially necessary with large machines (see 59, p. 293). In order to obtain a more constant exciting current than that given by the arrangement shown in Figs. 132 and 137, Mr. Dobrowolski has devised a very pretty combination of the open and closed type windings, which reduces the mean variation of the excitation to 3 '5 per cent. The winding is shown diagram- matically in Fig. 142, and is known as the double-linked winding. The coils indicated by the symbols i' v i' v i' ?j , are severally wound in two parallels, 15deg. removed from the closed coils i v i 9 , i y The complications involved are consider- able, and the gain perhaps not commensurate with them ; yet for large machines the device may prove useful. 266 ELECTRIC MOTIVE POWER. There are some important differences to be noticed between the series and parallel connections. It has been shown that with the series coupling v = - (see Fig. 137), and that the cur- 1 i o2i rents in the coils and mains are the same ; and in the parallel device (see Fig. 132), that each coil carries a current equal to , and that the pressure at the coil terminals corresponds T732 to the pressure between the mains. These differences are suggested by the terms parallel and series, which are in this respect more apt than those of triangle and star. FIG. 143. Diagram showing Ampere- turns with Parallel Coupling. FIG. 144. Diagram showing Ampere-turns with Series Coupling. Now, the magnetising effect exerted by a given number of turns of wire, and a definite effective current in the mains, will be different with the two kinds of windings. Consider Figs. 143 and 144, which severally represent the parallel and series couplings, and the direction of current at the instant when it is entering by one main and returning equally by the two others. Let n be the number of turns of wire in one coil. Then the total ampere-turns in the parallel o device is n I, and in the series arrangement - n I. Therefore, 2i the magnetising effect, and also the self-induction, of the series TWO-PHASE AND THREE-PHASE CURRENTS. 267 device is greater than that of the parallel for a given current and a fixed number of turns. The total power absorbed by the two circuits may be made the same by a proper adjustment of pressure. 54. RELATIVE MERITS OF TWO-PHASE AND THREE- PHASE CURRENTS. Experts differ as to the relative merits of two- and three- phase currents. As regards the alternators and motors there is, perhaps, not much to choose between them. Machines designed for similar outputs, whether synchronous or non- synchronous, are found to have about the same efficiencies, starting torque, weight, and apparent watt consumption. The three-phase machines, however, are the better, according to FIG. 145. Single-phase System. xx' = Effective Pressure of 3,550 volts (see Table X, p. 268). yy' = Maximum Pressure of 5,000 volts. experiments made by Mr. Kolbein, the chief engineer of the Oerlikon Works. As regards the winding details, perhaps the two-phase type is the simpler. The main difference between the two systems lies in the relative weights of copper required in the conductors for given conditions, and the ease with which the currents may be handled, regulated and controlled. The first experiments with three-phase working brought to light difficulties in the regulation of pressure between the three mains at the points of supply, when the currents in the three circuits were not approximately the same. These, though since to S)me extent overcome, are greater than those with two- phase currents. The difficulties lie chiefly with the design of pa.iapisuoo si A\.V\ OHUOU009 ( 263 ) TWO-PHASE AND THREE-PHASE CURRENTS. 269 alternators and transformers. Two-phase currents, if worked with two separate circuits, are as easily dealt with as single- phase currents, and serve readily most purposes to which single or poly-phase currents are usually applied. They are specially convenient for distribution. It may be safely inferred that two-phase currents are better adapted for a combined service of light and power work than three-phase currents, which are better adapted for running with equally loaded ircuits, and therefore are not generally so suitable for lighting work. For simple transmission of power between two distant points, however, the requirements are different, and the three-phase current system is generally cheaper than either a continuous- current or a one-phase or two-phase alternate-current system. FIG. 146. Two-phase System. Three Wires. x x' = Effective Working Pressure of 3,550 volts. yy' = Maximum Working Pressure of 5,000 volts. z z' = Maximum Component Pressure of 7,100 volts. This interesting and important problem may be considered in three ways, each of practical value : (1) On the basis of maximum difference of pressure between conductors ; (2) On the basis of effective pressure at the distributing station (or motor terminals, perhaps) ; (3) On the basis of the economic law. 270 ELECTRIC MOTIVE POWER. The ratios of the weights of copper under these conditions are stated in tabulated form in Table X, p. 268, in which, to give a practical character to the figures, a definite power has been selected for transmission to the receiving station. Constant line loss and constant fall of pressure have also been considered. In the final column the economic law has been considered to the exclusion of both a definite line loss and line drop, the equivalent current being taken as in column 3. In practice, the weights will be modified by local considerations ; but the main ratios will hold good, and the figures given form, therefore, a reliable guide between the relative merits of the systems as affected by the weight of copper. FIG. 147. Two-phase System. Three Wires. xx' = Effective Working Pressure of 2,500 volts. yy' = Effective Component Pressure of 3,550 volts. z z' = Maximum Component Pressure of 5,000 volts. The significance of the difference between effective and maximum pressure is at once apparent if Figs. 145, 146, 147 r and 148 are examined. In these figures the electrical centre of gravity is shown graphically. In any electrical circuit of good or bad insulation there is a datum pressure with reference to the variations of pressure in the circuit. For example, in a continuous-current circuit the absolute pressure of the negative pole of the dynamo will have a constant ratio to that of the earth's surface at the particular site, and the difference of pressure between it and the positive pole will simply affect the absolute pressure of the positive pole. And, if the negative pole be EARTHING THE MIDDLE WIRE. 271 grounded, the datum pressure will be that of the earth's surface. Again, with an alternate-current circuit, with both poles insulated, the cyclical changes will alternately raise and lower the absolute pressure above and below zero pressure, which corresponds to that of the earth's surface. Thus, in a circuit carrying a current of 5,000 effective volts pressure, the maxi- mum pressure between any two points of the circuit will be 5,000 ^2 = 7,050 volts, while the absolute pressure will be only 3,525, positive or negative. The stress through the insulation to earth will, therefore, be only 3,525 volts. But if the circuit be grounded, say, at one of the main terminals, the absolute pressure between the other terminal FIG. 148. Three-phase System. x x = Effective Pressure of 3,550 volts. y y' = Maximum Pressure of 5,000 volts. and earth will be 7,050 volts, and therefore the insulation all over the high-pressure circuit will be subjected to this stress, although the effective working pressure will remain as before. This possible change in the stress upon the insulation of a circuit carrying an alternate current has led to the general practice of earthing one of the primary mains, usually at both the generating and distributing circuits. The maximum stress is thus accepted, and suitable precautions adopted to safeguard against accidents; and, as already pointed out in 51, p. 247, additional security is gained because a fault in the other main, at any point, at once blows the fuses and disconnects the faulty section. 272 ELECTRIC MOTIVE POWER. With two-phase three-wire circuits it is permissible to earth the middle wire at the generating station, which then is at zero pressure. The same precaution is observed with the "star" coupled three-phase system (see Fig. 155, p. 277). With the " triangle " three-phase system it is not permissible to earth either of the mains, since the earth would then form part of the circuit. It appears, then, that, from considerations affecting prime cost of line, the three-phase system is cheaper for long-distance transmission than either single-phase or double-phase ones ; and that continuous-current systems are the cheapest of all, but are not admissible for extra high pressures. The selection of a system for long-distance transmission of power will mainly depend upon the maximum permissible pressure. If it be possible to work at such pressures as are feasible, in the engineer's judgment, for continuous-current dynamos (coupled in series or otherwise), then there can be no doubt, from considerations affecting the line, that this will be the cheapest and best system. But if extra high pres- sure be deemed advisable, then the three-phase system will generally prove the cheapest.* In connection with this question it is important to notice that the engineers responsible for the electric power plant being laid down at Niagara have finally, after mature con- sideration, decided upon a four-wire two-phase system. The reasons for their choice have been given by Prof. George Forbes, in a Paper entitled " The Electrical Transmission of Power from Niagara Falls," read before the Institution of Electrical Engineers on November 9, 1893. The details of the scheme have been strongly criticised by English experts, and the choice of two-phase currents is open to doubt. When it is considered that Buffalo, the nearest large city, is * The generating plant may perhaps be a two-phase one, with suitable step-up two-to-three-phase transformers, as proposed by Mr. Scott, of the Westinghouse Company. And it may also prove economical to transform the phase again at the receiving station. The ingenious proposals of Mr. Scott, however, have not yet been verified in practice ; but there seems to be no doubt of their feasibility and usefulness (sec 56, p. 278). POLYPHASE TRANSFORMERS. 273 fifteen miles distant, it is clear that the weight of copper will be a very important item in the cost of the whole plant, and, in the author's judgment, a three-phase system would prove more economical in first cost and give as good pressure regula- tion as the two-phase. For it must be recollected that there is a line difference of pressure of 20,000 volts, and hence step- down transformers will have to be used at every point from which power is taken. The main line drop will, therefore, be as difficult to regulate with two-phase as with three-phase currents ; and variation of pressure of submains of the distri- buting systems can be as readily controlled by using indepen- dent secondary circuits from three-phase transformers as from independent secondary circuits of single or two-phase trans- formers. Prof. Forbes's argument that two-phase currents are I I ( ( f L FIG. 149. Four- wire Two-phase Circuit with two Ordinary Transformers,. Tj, To, one being Coupled to each of the Circuits, A, B. more easily redressed than three-phase currents is probably sound, but the fact that for large powers no form of alternate current has yet been made unidirectional in a practical manner cannot be ignored.* The use of a frequency of 25 c\> per second is a departure from the best practice of to-day (see 58, p. 284). 55. POLYPHASE-CURRENT TRANSFORMERS ; DIAGRAM OF CONNECTIONS. The principle of polyphase-current transformers is the same as that of single-phase transformers. With two-phase currents * See 60, p. 297. 274 ELEGTEIG MOTIVE POWER. it is usual to couple single-phase transformers across each of the circuits, as shown in Fig. 149, in which there are four con- ductors of equal section. If three were used, the middle one having 1 f 4 times the area of each of the outer ones, the trans- formers could still be coupled as above; but the pressure FIG. 150. Dobrowolski Three-phase. Transformer. variation would be greater than with the separate arrange- ment, especially if they, or the conductors, or the machines, possessed much capacity or self-induction. 'With three-phase currents it is usual to employ combined transformers, as it is important to balance the load on the CONNECTIONS OF POLYPHASE TEANSFOEMEES. 275 three circuits, but three separate single-phase transformers may be used. Various forms are in use, such as that shown in Fig. 150, which shows the Dobrowolski type. One of the methods of coupling the connections is given in Fig. 151. This figure also illustrates one method of winding the primary and secondary circuits. Owing to the phase differences between the currents in the coils of the inter-connected circuit and the pressure between the mains, there is a loss of pressure of r*:x>ut 13 per cent, in the ratio of conversion as compared with a single-phase transformer. Hence the number of turns in the FIG. 151. General Diagram showing one of the Methods of Winding the Coils of a Three-phase Transformer. A, B, C : High-pressure mains and coils. 1, 2, 3, 1', 2', 3': Low-pressure circuits, which may be combined or separate. The phases are the same in opposite coils. The iron core is indicated by the dotted lines. primary circuit must be increased in this ratio. The efficiency is, perhaps, not quite so high as that obtainable with the best designed single-phase transformers, but it certainly exceeds 96 per cent, at full load, and the curve can be made to any slope by suitably proportioning the weights of iron and copper as already explained in 37, p. 205, when considering ordinary transformers. A three-phase transformer weighs less than three separate single-phase transformers of an equal aggregate power, the 276 ELECTRIC MOTIVE POWER. POLYPHASE CUREENT CIRCUITS. 277 ratio of weight being about 3 : 4. This increase of weight efficiency is partly due to the magnetic flux dividing in a similar manner to the current. The flux in one leg is in the opposite direction to that in the other two. But the flow in one of the two increases, while that in the other decreases. The cycle is thus continually changing, each leg in succession becoming the return for the magnetic flux in the other two. FIG. 154. Diagram of Connections of a Three-phase Circuit. A, Alternator. M, Motor. T l5 Step-Up Transformer. T 2 , Step-Down Transformer. The weight is also reduced to some extent, because the design permits of the framing and yokes being made lighter in pro- portion to the cores than is possible in the single-phase type. In high-pressure transformers the high-pressure coils are generally inter-connected, and the ends are usually protected by glass tubes to a considerable height above the level of the coils. The low-pressure coils have separate terminals to permit of coupling up to separate circuits. FIG. 155. Diagram of Connections of a Three-phase Circuit. A, Alternator. M, Motor. T 1} Step-Up Transformer. T 2 , Step-Down Transformer, e, Earth Plates. Table Y, p. 285, gives some interesting data of Oerlikon three-phase transformers, designed to work at line-pressures up to about 5,000 volts. Three-phase transformers work in parallel just as effectively as single-phase ones. The general schemes for a transmission plant with polyphase currents, with and without step-up 278 ELUGTRIC MOTIVE POWER. transformers, is shown in Figs. 152 and 153. The details are clearly illustrated. In the high-pressure system only one transformer is shown, but a bank of transformers might be arranged if necessary. Two methods of arranging the connections of three-phase circuits with step-up and step-down transformers are given in Figs, 154 and 155. 56. COMBINATION OF TWO- AND THREE-PHASE CIRCUITS. It has already been shown that three-phase currents present advantages for transmission as distinguished from distribution, and that two-phase currents are specially adapted for serving sub-divided circuits. A combination of the two systems is thus suggested and necessitates a phase conversion at the A B o c FIG. 156. Two- to Three-phase Diagram. distributing centre. Various inventors have worked at this problem, and some have attempted to change the frequency as well, for this is also of great importance in long-distance trans- mission of power. A solution of the latter has not yet been published in a practical form, although it is in the air. But the former has been apparently solved by Mr. Chas. F. Scott,* the chief electrician to the Westinghouse Company. The method is simple and practical, and is an ingenious application of the fact that two alternate pressures of different phase in series with each other do not give a combined pressure equal to the sum of the components. Thus, if in Fig. 156, AO and OB severally represent in phase and magnitude two pressures in quadrature to each * Prof. S. P. Thompson has independently developed the same idea. See British Association Paper entitled " Some Advantages of Alternate Currents" (The Electrician, August 24, 1894, p. 481). PHASE CONVERSION. 279 other, and also in series, the resultant pressure will be repre- sented in direction and magnitude by the hypothenuse A B of the right-angled triangle A B. If A and B be so pro- portioned that the angle ABO is GOdeg., the relationship is evidently unaffected. The triangle A B, Fig. 156, is con- structed to suit these conditions, and forms the half of the equilateral triangle ABC, whose sides severally represent in magnitude the t-hree pressures acting in a three-phase circuit. Now, from the construction, and from what has already been demonstrated in 52 and 53, it is evident that the pressures represented by the lines A and C B may be combined to give the two pressures represented by the lines AC and AB or vice versa. The three-phase diagram ACB may also be drawn as in Fig. 157, in which A is the resultant of A C and A B. If the B FIG. 157. Two- to Three-phase Diagram. ooils producing the pressures A and B C be supposed to be each wound on separate ordinary type single-phase transformers, and if there be two separate coils wound outside each of them, ao and 6c, the arrangement may be diagrammatically represented by Fig. 158. Then a three-phase system may be supplied from the terminals A, B and C, or a two-phase from those marked a, o, and b, c. (In the diagram, the transformers may be imagined to be feeding three-phase transmission mains at high pressure.) The arrangement is simple and effective, involving no mechanical details. It simply requires suitably-wound transformers at the u2 280 ELEGTEIC MOTIVE POWER. phase conversion station, where the pressure may be raised or lowered as required. FIG. 158. Diagram of Two Single-phase Transformers combined to give Two- and Three-phase Currents. The number of turns in the coils can be adjusted to give any pressure between the several mains ; but if the pressure Two Phase- < 100 V---> wwv b o .-,00V-, 1000 V Three Phase. FIG. 159. Diagram of Pressure Distribution in Two- to Three-Phase Transformers. between the three mains of the three-phase part be of the same value, as is usual, then the number of turns in the two-phase PHASE CONVERSION. 281 coils must be in the ratio of 2 : J3 ; the coil c b having, say, 200 turns, and the coil a o 173. This ratio is determined by the phase difference of 30deg. between the line and coil pres- sure (see 53, Fig. 137, p. 260). The distribution of pressure will be seen from Fig. 159. This system enables a three-phase line to feed three-phase motors direct at the line pressure, two-phase motors through transformers, and lighting circuits in two instead of three units. These various operations are indicated in Fig. 160. If the transformer which supplies direct from the terminals (C B, c b, Fig. 159) be loaded and the other be on open circuit, a single-phase current can be supplied at normal pressure, independently of the other circuit. 3 Phase Line. 2 Phase 3 Phase Transformers AM AMA olio 21 r* 2 Phase Motor. O] 3 Phase Motor FIG. 160. Diagram of Two-phase Alternators, Three-phase Line, Two- and Three-phase Motors, and Lamps in Single-phase Circuits. But if the transformer (A 0, a o) which supplies through the three mains be loaded and the other be on open-circuit, then a single-phase current can be supplied at a pressure equal to only 87 per cent, of the normal. Two mains on one side will be in parallel. The self-induction of the idle transformer will not affect the circuit, for the current entering at the middle of the winding divides equally in opposite directions through the two halves of the coil, and thus completely neutralises the self-induction. The ohmic resistance of the winding has to be overcome, but this loss is^ more than com- pensated by two of the mains being in parallel. 282 ELECTRIC MOTIVE POWER. These conditions of running are not likely to be used under ordinary circumstances. Yet one of them may prove of great advantage in the case of damage to part of the system for instance, if one side of the alternator be damaged by lightning or other causes. This feature may be made the means of minimising accidents, especially if the alternators are of the single-phase type coupled rigidly in quadrature. The efficiency of two transformers arranged for converting from two-phase to three-phase, or rice versa, is said to be about Y^th per cent, less than when the same transformers are used with single-phase currents at corresponding loads. 57. SYNCHRONOUS POLYPHASE MOTORS. Polyphase alternators make excellent synchronous motors, and are said to keep step better than single-phase machines, the link between the rotating magnetic field and the revolving part being more flexible. The line current is fed to the revolving part of the motor, and the stationary part is con- structed of solid cast iron, with or without windings. If there be no windings on the stationary magnets the torque is due to induced currents in the non-laminated pole pieces. This design is not adapted for a high efficiency at starting, and therefore it is usual in most cases to provide secondary windings to assist the initial torque. This need not involve any complicated device. Synchronous polyphase motors are specially suitable for very large units, since the bulk of the machine consists of cast iron. They are therefore cheaper than induction polyphase motors of the same capacity. And, what is still more important, they cause no lagging current in the line except at starting, and therefore have a power factor of 100 per cent. This type of motor is likely to be used largely in the near future. Its general appearance is indicated in Fig. 161. A good example of large synchronous polyphase motors is afforded by a plant erected early in 1894 at Taftville Cotton Mills, Conn., U.S.A., by which power is transmitted for a dis- tance of about 4J miles. SYNCHRONOUS POLYPHASE MOTORS. 283 There are two 250-kilowatt alternators, delivering power to the line at a pressure of 2,500 volts. They run at 600 revolu- tions per minute, and work perfectly in parallel. The motors are of similar construction, and are separately excited by 3-kilowatt exciters driven by belting. They are coupled to the main shafting by clutches, and are allowed to acquire the FlG. 161. Diagram of Synchronous Polyphase Alternator, with Windings on the Field Magnets. speed of synchronism before the load is applied. In every respect the plant is a great success. 58. PRESENT PRACTICE IN POLYPHASE ALTERNATORS AND MOTORS. Some of the most recent designs of polyphase alternators and motors are shown in this section. They are typical of present practice. Polyphase generators for low pressure are frequently designed to work at a pressure of 190 volts between the mains, and 284 ELECTRIC MOTIVE POWER. are used with step-up transformers. High-pressure generators and motors which will work at line pressures of from 5,000 to 7,000 volts are generally used for power transmission when the line pressure need not exceed, say, 7,000 volts. The fre- quency adopted is from 50 to 65. The lower value is being FIG. 162. Oerlikon Low-Pressure Polyphase Alternator. gradually adopted on the Continent, and will soon become the standard. This frequency is too low for the most economical conditions, and 65 or 70 ^ would be better, especially for the transformers, but the practical consideration of slow speed with few poles in generators and motors determines the lower value (see Table M, p. 174). POLYPHASE 285 FIG. 163. Oerlikon High-Pressure Polyphase Alternator, with Exciter attached to the Shaft. FIG. 165. Oerlikon Asynchronous Polyphase Motor. 3 Kf * > co" ^ ^ g 8 LO O LO LO t> O 8 ggggogfeg ro" l^l-ssa Q; C5i ^ 1 1 to -' ressure ro" ^ 05 |j!o rH 2 2 & 1 LO 00 ^?0 P 9 O CM O rO CT) i 1 t 1 CM O IO C". r- \ rH T 1 to" ^ 2 ^o pLO cc -S to" g 1 I ig^iSSS Ci ^ ^ 1 i-l * CM Oi CM I> I> i ^ s o ro" g CO x tO LO ^ % ^cS^JS 00 " 2 ^ J 1 LO J 2 ro ^i ~ri ti O ro O ro LO ^H LO ^ T 1 ^ T^. ^ s- 1 s g tO CM LNJ O5 ,_p O IO CM * CO O 0> ^ TH 00 ^ ^ S 8 x -\o ^ so s /V^ WH r< 1 p tp tH o ^O O Jt o LO 5^ o op SjH i ft ^s ^ to 1 S^ ^ \ 2 J ! i 1 C>< 1 < 1 1 k Efficiency Weight in Ibs Primary n,732 v. between mains amperes inl 3,464 ,, each circuit (5,196 ,, ^2 Is O | i gj H^ s N s 1 ^ Kilowatts Amperes per circuit Horse-power absorbed Efficiency Revolutions per minu te ,.,,. f With exciter Wei S htmtons (without exciter.. 1 1 Kilowatts (1,732 v. betwe Amperes per circuit { 3,464 ,, (5,196 Horse-power absorbed Efficiency Revolutions per minute Weight, with exciter, in tons ^ POLYPHASE MACHINES. 287 In cases where power work alone has to be considered, and the generators have to be coupled direct to slow-speed engines, it is found convenient to decrease the frequency to even 25 or 20 Co per second ; but these are exceptional conditions. The Oerlikon Company build excellent polyphase machines. Their low-pressure alternator is shown in Fig. 162, and their high-pressure alternator in Fig. 163. The performances of list 1,200 1,000 800 "5600 400 2CO 15 20 25 Oi 5 10 Amperes. FIG. 164. Characteristic Curve of a 100-H.P. Three-Phase Oerlikon Alternator. machines of these types are given in Table Z and Table A A, and a characteristic curve of a 66-kilowatt alternator, 1,040 volts per coil, is given in Fig. 164. The drop practically follows Ohm's law, and capacity and self-induction effects, if present, apparently cancel each other. Types of the Oerlikon Company's normal three-phase motors are shown in Figs. 165 and 166; and one of the Allgemeine 288 ELECTRIC MOTIVE POWER. Electricitats Gesellschaft in Fig. 167. Some tests of the small motors are given in Table B B, p. 289. It is seen that the efficiency, although not equal to that of first-rate continuous- current motors of similar output, is sufficiently high to make the machines of great commercial value, especially when the FIG. 166. Oerlikoti Asynchronous Polyphase Motor. absence of commutator and brushes and all the troubles and risks incidental to them is borne in mind. The Oerlikon Company adopt as standards a pressure of 110 volts per coil, equal to 190 volts between the mains (series coupling, see Fig. 137, p. 260), and a frequency of 50 <~u per second. TESTS OF POLYPHASE MOTORS. 289 Table B B. Tests of small Oerlikon Three-phase Motors, 50 ru. Size of motor. H.P. 4H.P. li H.P. 3 H.P. 6 H.P. 9 H.P. Revs, per min., empty Revs, per min., full load Starting torque, in Ib. feet 1,450 1,320 57 1,450 1,335 65 1,450 1,350 137 1,475 1,380 123 975 910 570 970 900 690 Torque at full load, in Ib. feet 264 440 1 105 1 200 2700 4350 Pressure in volts Amperes in each cir- cuit, empty 60-5 1'3 60 4 57 7 63 7'5 61 20 67 25 Amperes in each cir- cuit, full load 2'5 8 13'8 IS 59 86 Power absorbed at no- load in watts Power absorbed at full- load in watts 105 325 670 346 1 900 404 2940 6620 10400 Output in brake H.P. Output in watts Efficiency 0-23 170 527 0-49 368 55 / 'l-5 1,140 60 7 2,208 757 7-1 5,300 807 11-5 8,600 83% Weight of motor com- plete in Ibs. 92 132 220 330 608 925 Some idea of the data of American three-phase motors may be gathered from Table C C, which is taken from the Columbian Exposition Supplement to the Engineering Review. Table C C. Data of American Three-phase Motors. 4 H.P. i H.P. 1 H.P. 5 H.P. 50H.P. Apparent consumption in watts Amperes ivr circuit loaded . . , 230 1-4 518 4-0 985 8-0 4,380 36 40,200 280 60 60 60 60 60 Frequency .. .. 50 50 50 50 50 Speed (unloaded) 2,380 1,490 1,490 1,490 745 Speed (loaded) 2300 1,400 1,375 1,395 725 Efficiency 71% 75% 84% 91% dumber of poles . 2 4 4 4 8 "Weight in pounds 396 1,386 2,068 5,390 26,400 4-5 15 150 Amperes er circuit at starting ... 50 400 5,650 50,000 Size of motor. v ;/ 290 ELECTRIC MOTIVE POWER. Messrs. Johnson and Phillips have built for use at the Sheba Gold Mines some two-phase alternators which embody an in- vention of Mr. Gisbert Kapps. The construction (see Fig. 168) is similar in general appearance to that of Mr. C. E. L. Brown's machines, the field magnets being of similar design. The armature coils, however, which are, of course, arranged around the outer and stationary part of the machine, are not symmetri- cally placed with reference to each other, but the top half of FlG. 167. Allgemeine Electricitiibs Gesellschafo Asynchronous Polyphase Motor. the coils is set with an angular lead of 90 degrees with respect to the lower half. The two form separate circuits with cur- rents in quadature, and can be used as distinct machines if required. One of the advantages claimed by the inventor for this arrangement is that an accident to one of the circuits will probably leave the other uninjured, and so prevent a complete KAPPS TWO PHASE ALTERNATOR. 291 breakdown of the machine. In fact, an alternator thus con- structed is equivalent to two single-phase machines of half its output. The design tends to decrease the cost of construction and to economise space. 292 ELECTRIC MOTIVE POWER. 59. WINDING; STARTING TORQUE ; POWER FACTOR. One of the chief reasons for using polyphase currents is that they admit of motors which are both self- exciting and self- starting ; and in many cases the costly and troublesome brushes and collecting rings may be done away with. To obtain the best results it is necessary to reduce tht exciting current to a minimum. This is accomplished by FIG. 169. Grooves for Windings of FIG. 170. Grooves for Windings of Polyphase Machines. Polyphase Machines. T FIG. 171. Diagram of Construction of Polyphase Motors, showing Holes for the Windings. decreasing the air gap to a mere mechanical clearance by bedding in iron the windings on the stationary and rotating parts. The coils are sometimes laid in grooves as in Figs. 169 and 170, and sometimes wound in tunnels as in Fig. 171. Grooves are, perhaps, the best, since they cause less magnetic- leakage. When the motor is designed without brushes, the line current is supplied to the fixed part. This design is chiefly TORQUE OF POLYPHASE MOTORS. 293 applicable to small motors. For large designs it is usual to arrange the exciting coils in the revolving part of the machine. This necessitates brushes and rings, it is true, and consequently simplicity of design is departed from. The chief point gained is that the losses due to hysteresis, eddy-currents, and self- induction are practically limited to the relatively small moving part of the machine ; whilst the massive stationary portions are magnetised by currents of frequency equal only to the difference between the speed of the revolving coils and that of the rotary magnetic field. When large polyphase motors are designed to work with the line current in the stationary part, it is usual to connect the ends of the revolving coils to collector rings on the shaft, and to close them through separate resistance coils. In this way the speed and torque of the motor can be regulated with com- paratively small waste of power. In the most recent designs the resistance coils are built into the rotating part and are thrown in and out of circuit by a lever actuating a device similar to a friction clutch. It is important to notice that a mere impedance coil will not answer the required purpose, since its self-induction causes a lag in the current, and therefore may increase rather than diminish the starting current. A non-inductive resistance coil must be used, the function of which is merely to regulate the current induced in the closed coils. It is found that there is one value of this current which corresponds to a minimum line current for each torque, and therefore gives the motor a maximum power-factor a point of immense importance when a number of motors are running off a common power station. By suitably proportioning the motor, the initial torque can be made as large as required, but, if high efficiency and good speed regulation are required it should not usually exceed about three times the running torque. The relation between torque and current is well denned in Figs. 172 and 173, which are taken from a paper on Polyphase Transmission* by Dr. Louis Bell. * Electrical World (New York), March 17, 1894. 294 ELECTRIC MOTIVE POWER. In Fig. 172 is shown the relation between the static torque- and current for a 10-H.P. (A) and for a 5-H.P. (B) three-phase motor. Curve Aj shows the effect of varying the resistance in tha short circuited coils when the pressure is kept constant. 90 60 I s0 / 20 20 40 60 80 IOO 12 Weight on Break Arm in Ibs FIG. 173. Curve A: Relation between Current and Torque with a Properly Adjusted Resistance in Series with the Short- Circuited Coils. Curve B : The same, with no Resistance. Fig. 173 shows two curves taken from a 10-H.P. motor. They connect amperes in the line with torque. In B no resistance is placed in the closed-coil circuits. In A a care- fully adjusted resistance is added, with the result that the current for a given torque is reduced to about one-half of that x2 293 ELECTRIC MOTIVE POWER. required in B. The importance of a starting resistance is obvious. The initial torque of a well-designed continuous-current series- wound motor is about six times the running torque ; and, therefore, a polyphase motor requires to be, relatively, of about twice the capacity for similar starting power; yet, since the polyphase design is the more compact, there is practically no 90 C 80 70 50 10 FIG. 174. Curves showing Relation between Power Factor and Output in Polyphase Motors. difference in the floor space occupied. Experience undoubtedly shows that the polyphase machine is the cheaper to build and the less costly to maintain in good running order. The power factor of polyphase motors varies with the load and within wide limits ; but at from half to full load it appears to average from 75 per cent, to 94 per cent. There is thus POLYPHASE AND CONTINUOUS CURRENTS. 297 no difficulty in running a number of motors upon the same circuit. The variation of the power factor of a four-pole 15-H.P. motor at 50 cycles is shown in Fig. 174 by curve A; that of a 5 H.P. motor of similar design by B ; and that of a 5-H.P. motor, specially designed to give a high power factor, by C. It is sufficiently evident that the requirements of com- mercial working are met in these machines. 60. COMBINATION OF POLYPHASE AND CONTINUOUS CURRENTS; RECTIFIED CURRENTS. It is sometimes urged that alternate currents are not suitable for charging accumulators. In a sense this is true, FIG. 175. Diagram of Gramme Armature, designed to work as a Polyphase Continuous- Current Converter. A, B, C, Polyphase Mains, a, 6, Continuous-Current Mains, coupled for charging accumulators. The field magnet coils may be excited separately, or in shunt to the accumulators. but there are two ways in which they can be utilised for this purpose. They possess some interest in a transmission of power plant. Most batteries are useful for dealing with lighting during the light load periods. If an ordinary two-pole continuous-current dynamo have three connections made to the armature coils at intervals of 1 20deg. 298 ELECTRIC MOTIVE POWER. each, and these be joined to rings in connection with the mains of a three-phase system, the armature will run as a motor (assuming the field to be separately excited), and a continuous current may be collected at the commutator, which can be utilised for charging accumulators. FIG. 176. Rectified Alternate Current. This machine may be described as a polyphase continuous- current converter. It is a practical device. Most dynamos can be readily adapted for this purpose, but if a high efficiency of conversion be required it will be necessary to make a special design. A general idea of the arrangement may be gathered from the diagrammatic sketch in Fig. 175. FIG. 177. Ferranti Rectifier, as used at Portsmouth. Another method of using an alternate current for charging batteries is to " rectify " the negative waves. The resultant current may be diagrammatically represented as in Fig. 176, in which the dotted curves below the time line have been EECTIFIEES. 299 rectified. The curves show the instantaneous values of the current (or pressure), and the effective value is J- of that of the maximum ordinate. The reversal of sign is accomplished by a two-part commu- tator running synchronously with the alternator, and driven by a small synchronous alternate-current motor. (See the 'Thomson-Houston self-exciting alternator. Fig. 115, p. 232.) Fig. 177 shows one of the Ferranti rectifiers used at Ports- mouth for running arc lamps in series on a 10-ampere circuit having a frequency of 50 r ^> per second. A rectified current appears to be admirably adapted for serving arc lamps, because the rhythmical waves of which it is composed assist the feeding of the carbons. It is possible that rectifiers may prove to be useful details of a power plant. CHAPTER IX. ELECTEIC TRANSMISSION OF TOWER IN MINING OPERATIONS. 61. Introduction. 62. Engine House and Equipments. 63. Shaft Cables. 61. Underground Cables ; Junction Boxes ; Switches and Cut-outs. 65. Uninsulated llcturns ; Safety Cables. 66. Motors and Driven Machines ; Selection of Type of Motor ; Con- tinuous and Polyphase Currents. 67. Safety Motors ; The Mining Motor of the Future. 61. INTRODUCTION. PERHAPS the most obvious field for the utilisation of electricity in power work is to be found in mining. At all events, the first practical plants were applied for mining purposes, and by far the greater number of large electric motors running in Great Britain to-day are used in this connection. The superiority of electricity as compared with compressed air or hydraulic power for driving dip pumps and other underground machinery was recognised as soon as the electric motor was discovered. But it was not until about 1885 that the new plant was well enough engineered to be cheap and reliable. The first application of sufficient magnitude to demonstrate indisputably the possi- bilities of the electric motor for mining work was made at Messrs. Locke and Go's, St. John's Colliery, Normanton, by the General Electric Power and Traction Company (Immisch and Co.), to the designs of the author. The motor was of about 60 brake horse power, and worked a set of ram pumps raising 120 gallons of water per minute through a vertical head of nearly 900 feet. It was an assured success from the start, and although modifications and improvements have since been introduced in many of the details, the general method still 302 ELECTRIC MOTIVE POWER. obtains for continuous-current mining work. The applica- tion of polyphase currents has opened up fresh possibilities, and largely extended the scope of electric power work, by obviating the need for commutators and brushes, and there- fore removing the chief objection to the use of motors in collieries. The author confidently regards polyphase motors as essentially the machines of the future for mining work. In the previous chapters this subject has been necessarily discussed in a general way, so as to include all varieties of plants. This chapter is confined to the consideration of mining work and its special requirements. There is a wide difference between collieries and metalli- ferous mines in the character of the work ; and, indeed, the local conditions of different mines vary so largely as to require special treatment in almost every case. But the main difficulties peculiar to mining work, i.e., which do not usually obtain with surface plants, may be classified under three heads : (a) "Falls" from roofs and sides, and "creeping" of the floors. (6) Water, either continuous or intermittent, (c) Explosive gases. These may occur singly or conjointly, and evidently require properly selected plant and careful disposition of mains, junc- tion boxes, switches, cut-outs and machines. What is suc- cessful at one pit, or part of a pit, is not necessarily so at other places ; and hence various methods are employed some good and some indifferent. Only an engineer experi- enced in this class of work is able to specify with fair probability of success the best kind of material and most suitable method of erecting plant for each case. Much defective work has been done from want of practical acquaintance with collieries and mines, although the plant supplied has been usually good of its kind. That bugbear of competition, the lowest tender, has also much to answer for here as well as in other departments of electrical engineering; ELECTRIC WORK IN MINES. 303 and the practice of asking contractors to tender to their own specification instead of to that of an independent consultant has largely contributed to the breakdowns, which are far more frequent than need be. The absurdity of such a course is rendered the more apparent when it is considered that however up-to-date the mining engineer may be, he cannot possibly have such a close acquaintance with the quality and classes of electric cables, different points in dynamos and motors, and the various details of an electric plant, as the expert who gives his entire time to such work. And, moreover, the expert is not hampered by patents or special types of machines, etc., as a contractor is very likely to be, especially if he is also a manufacturer. It is proposed to consider here some of the chief difficulties peculiar to mining work, and to examine the methods most in vogue to meet them, and also to suggest, as far as possible, the best plant and its most effective disposition for working under various conditions. It is convenient to treat this part of the subject under the following divisions : (1.) Engine House and Equipment. (2.) Conductors, Shaft, and Underground Cables, Junction Boxes, Switches and Fuses. (3.) Motors and Driven Machines. These will be considered in separate sections. 62. ENGINE HOUSE AND EQUIPMENT. The engine-house will generally be upon the "surface," although in some cases, where a steam-engine is already at work near the pit bottom, it may be necessary to erect a dynamo below ground. Electric plant frequently plays so small a part in the main machinery of a colliery that it is not permissible to provide a separate house for the dynamo. In such cases the winding-engine house or the fan-engine house will probably be selected. If the fan-engine has a margin of power, and is kept 304 ELECTRIC MOTIVE POWER. running at a constant speed, it may be possible to couple the dynamo to it through a fast and loose pulley. But this is not a common occurrence, nor is the arrangement always advisable. The fan forms a steady continuous load, and its engine should be carefully proportioned, both as regards size and speed, to give the most efficient running. And further, since the safe work- ing of a colliery depends to a very large extent upon the ventila- tion, many mine managers very properly refuse to allow fan- engines to be put to any other work than that of driving the fan. It may be assumed, then, that the dynamo (or dynamos) will be driven by an independent engine. In the early days of electric work in mines it was frequently necessary to use any odd engine that happened to be available at the time; and hence some very curious combinations. The author has seen a modern efficient dynamo coupled by belting to a large slow- speed engine of antiquated type, rendered still more inefficient by being supplied with wet steam at less than 401b. pressure, so that the high efficiency of the dynamo was practically annulled. Managers, however, are beginning to recognise the saving in coal and steam made by using high-pressure boilers and quick- running engines, and the electrical engineer has now little difficulty in arranging for suitable steam plant. Having regard to the fact that the fuel burnt at collieries is usually the most unsaleable there, and frequently almost dust, mechanical stokers are of special use. Vicars, Proctors, or any of the well-known types, answer the purpose admirably, and will be found to effect economy in labour. The type of boilers will depend upon the class of water and upon local circumstances. Generally, however, Lancashire boilers, with cross tubes, give the best all-round results, and have the advantage of being easily set and repaired by ordinary labour. The working pressure may vary from SOlb. to 1201b. per square inch; whereas multitubular boilers, although admirable for raising steam at short notice, are comparatively difficult to clean out, and require much more careful attention and skilled labour to effect repairs. The same remark applies to water tube boilers in connection with this class of work. STEAM DYNAMOS. 305 In most cases where the engineer has a free hand, and the pressure does not exceed, say, 500 volts, he will advise steam dynamos i.e., engine and dynamo directly coupled (see Fig. 178). This arrangement gives a positive drive, reduces the space occupied to the smallest dimensions, effects considerable saving in first cost, and gives increased facility for repairs ; while a stand-by set can be compactly placed ready for instant use at a moderate increase in the cost of the running plant. Granting the use of a high-speed engine, the question of open or closed type arises. There are various argu- ments in favour of each. The open type (see Fig. 178) has the advantage that all the rods and bearings are in full view, and FIG. 178. Steam Dynamo and Open-Type Engine. can be inspected while the engine is running, and also that it is readily got at to make repairs. But it is likely to be affected by dust, and is to some extent liable to accidental damage from external causes. The closed type (see Fig. 179), on the contrary, is completely protected from dust and chance external damage, and the crank shaft splashes into a lubricant in the crank chamber, thus ensuring lubrication so long as the oil is maintained at the proper level. Messrs. Willans and Robinson supply with their well-known closed-type engines a sight gauge, which shows continuously the height of the lubricant in the chamber. The speed of the engine will be selected with reference to its 306 ELECTRIC MOTIVE POWER. dimensions and that of the dynamo to which it is to be coupled. The number of revolutions will be large compared with those to which mining managers are accustomed, being from about 300 to 500 per minute. The question of single'or double-acting engines is an open one, and both sides are admir- ably championed. Perhaps both types, if properly made, are equally good. The type of dynamo will depend very much upon the class of work. The discussion of the various windings compound, series, shunt and separate excitation in 14, page 59, gives the special features of each. FIG. 179. Holmes-Willans Steam Dynamo and Closed-Type Engine. The pressure, as already suggested, will not be much higher than about 500 volts. A number of manufacturers build excellent machines, and it is easy to select a suitable dynamo or motor if a fair price be paid. The conditions governing the choice of steam and electric plant are similar to those detailed in 1, page 7. In plants where the work comprises pumping, hauling, coal-cutting and lighting, the generators should be capable of parallel working, feeding omnibus mains. But if there are only large motors, each coupled to, say, pumps or other independent machines, then it may be advisable to run separate pairs of mains to each SHAFT CABLES. 307 motor, and to have a separate generator to each circuit. If the loads permit of one type of motor and one type of gene* rator, a couple of spare machines will be sufficient to cover all. For driving pumps series winding is usually preferable for both dynamos and motors if a continuous-current system be adopted. If polyphase currents be used, the same suggestions are applicable, with suitable reservations. The pressure at the generating station may be restricted to about 500 volts, and then transformers will not be necessary for stationary motors of from 10 B.H.P. and upwards. But in coal-cutters and rock-drillers this pressure is too high for the men to handle the machines- with comfort, and it will be advisable to use step-down trans- formers to reduce it to about 50 volts. At this pressure a " shock " will be impossible, and the machines can be safely worked even in the dampest places. In some cases of long-distance transmission it may be advis- able to use a much higher pressure in the " line " between the generating station and the step-down transformers. The ques- tion then arises whether the line pressure should be reduced to, say, 500 volts at the pit bank, be supplied at this pressure to large stationary motors, and be further reduced for small or port- able machines. These are questions, however, which must be decided for each case upon its merits, and a mine manager will do well to take the opinion of an independent expert before signing a contract for plant. 63. SHAFT CABLES. The classes of conductors suitable for the severe conditions- of mining work are not very numerous, and differ chiefly in the kind of insulation, and the means employed to protect them from mechanical injury and from the effects of water, Broadly, there are two kinds of insulation which have stood the test of time, viz., vulcanised rubber and bituminous com- pounds.* The former is costly and is thus better adapted for the lighter classes of cables, say up to strands of 19/15 S.W.G., These are fully discussed in 18, p. 84. 308 ELECTRIC MOTIVE POWER. which, owing to their position, do not require to be covered with a coating of lead or armoured with steel strip or galvanised iron wire. The latter class is cheaper and hence is more suitable for large trunk mains ; but, since it rapidly loses its insulating properties if in contact with water, it is necessary to encase the compound with lead, which should be armoured to protect it from injury. The best form of bituminous cable is made concentric (see Fig. 180). The centre conductor is doubly guarded, so that if the metal sheathing be cut through, only the outer conductor is earthed, and the cable as a whole is workable until an opportunity occurs for repairing the injury. FIG. 180. Armoured Concentric Cable, with Lead-Covered Bituminous Insulation The author finds it expedient, even in large plants, to limit the sizeof each conductor to, say,a cable of 19/14 S.W.G. strands; and, if this be of insufficient cross-section for the current, to duplicate the conductors and connect them to omnibus bars. With this provision, an accident to one conductor does not cause a complete stoppage, for the damaged cable can be disconnected until the fault is localised and repaired. (It is oftentimes a matter of impossibility to make repairs during the drawing of coal, and hence the importance of providing spare conductors.) Another advantage is that small mains are relatively light, and are, therefore, easily handled and SHAFT CABLES. 309 fixed in position. And, further, the cost of repairs to the smaller sizes of cables is generally much less than to the larger ones, owing to the greater ease with which the joints can be made. The methods of running cables down shafts and fixing them in position differ in almost every case. Pit shafts are usually of circular form, sometimes driven through the live rock, some- times built round at intervals with courses of brick or stone laid on cast-iron cribs, sometimes faced with heavy timber walls, and occasionally lined with cast-iron sections through quick- sands or strata heavily charged with water. If wooden " conductors " are used to guide the cages, heavy cross bearers of timber are built into the sides of the shaft at intervals to carry them. When iron rope guides are used the shafts are practically void of timbering. These different conditions evidently demand different methods of supporting the cables. In the first place, it is absolutely essential to guard against falling coal and stones, either from the cages or from the sides of the pit. The best position for placing the cables will, therefore, be largely determined by the shape of the cage, and whether its sides are covered up so as to restrict the falling of pieces of coal to the open ends. Again, stands of iron pipes already placed may limit space still further. In general it is not advisable to run electric cables near to pipes, because work- men repairing the latter may damage the cables. Another con- sideration of importance is whether the up-cast or down-cast pit is the better adapted for the purpose. If the " winding " be done from the down-cast, as is usual, it may be convenient to use the up-cast. But care must be taken that the up-cast air is not laden with any erosive vapour, such as is sometimes the case when the exhaust from an underground engine and the gases from a furnace burning coal containing a large per- centage of sulphur, are turned into the up-cast. The author knows of one case in which a pair of lead-covered cables run in such a pit were corroded through in dozens of places in the course of a few months. In some soils there are found erosive agents that attack iron and rapidly rust it away, and 310 ELECTRIC MOTIVE POWER. in others a similar action takes place with lead. Generally it has been the author's practice to use the down-cast shaft ; but there is no rule, and in all cases it is possible to ensure success by making suitable arrangements. The plans adopted for supporting cables in shafts differ widely. In all cases, however, where it is desired to give the work a permanent character, the cables must be entirely encased in wood, run in iron pipes, or heavily armoured. These three methods are not always equally applicable, for local con- ditions may make one of them the cheapest or most desirable. If there is a set of, say, 4in. pipes already erected in a shaft, and it is desired to run a pair of, say, 19/16 S.W.G. cables down them, and the depth is not great, a pair of vulcanised rubber mains may be suspended in them from earthenware insulators. The weight on the supports will not usually be great, for the cable will generally bend from side to side, and thus may sometimes nearly carry its own weight if sufficient slack be allowed. In running cables down pipes it is advisable to insert a small flexible iron rope, and use this to haul in the insulated conductor, which should be payed out from the drum, perpendicularly into the centre of the pipes, over a wheel of sufficient radius. This method prevents damage to the covering of the cable. The interior of the pipes should be scoured to clean off sand from the cores, or the insulation will inevitably be abraded during the hauling-in. If the pipes be of large diameter, and the depth too great for the mechanical strength of the cable, it must be sup- ported at intervals. This may be done in several ways, but it will be necessary to break the continuity of the iron pipes in order to insert wedges, clamps, or similar devices. It may be better, then, to adopt a wooden casing which will support the cable along its whole length. In using wood, how- ever, care must be taken that the section is of sufficient strength, and that the " lengths " are spiked firmly to the pit sides. The grooves may be cut in the face, as shown in Fig. 181; or in the sides of the casing, as in Fig. 182, which illustrates a method used most successfully by the author in a number of mines. SHAFT CABLES. 311 The covering boards may be held in position by coach screws. This enables an examination of the cables to be made at any spot which is oftentimes a convenience. The grooves should be cut an easy fit for the cable, which will then be perfectly K 10 FIG. 181. Wood Casing for Pit Work. supported, and only a light attachment at the top will be necessary. It is always advisable, however, to loop the top ends securely round earthenware insulators firmly carried at or near to the surface. FIG. 182. Wood Casing for Pit Work. Concentric cables lead-sheathed and armoured are so stiff that they may be clamped directly to the pit sides, and then form strong compact work. As they are very heavy, there is need for strong brake gear on the surface to pay them out by, Y2 312 ELECTRIC MOTIVE POWEE. as they cannot be fastened in position until the whole length is down the pit. It is advisable with very heavy cables to lash ropes at intervals, and pay them out at the same rate, thus relieving the top end of the cable of part of the weight. This class of cable is steadily finding favour for pit work. The Electrician, Sectional Elevation. One-third full size. Plan (part section). One-third full size. FIG. 183. J. Davis and Son's Junction Box, for use in Mines. On no account should joints be permitted in new shaft cables, although it may be necessary to make repairs in old ones. A cable with continuous insulation is much more likely to stand the wet and exposure of a pit than one with joints made with a different dielectric from the rest of the insulation; UNDERGROUND CABLES. 313 the more so as the joints will probably be defective from the beginning. And it should be recollected that jointing is an extremely difficult operation in a shaft, owing to falling water, the cramped position, and the strong draught of air which together render soldering an impossibility in many cases, and often make the insulation uncertain owing to the presence of moisture. Of course it is possible, assuming time to be allowed, to provide special apparatus which, in the hands of skilled men, will enable excellent work to be done ; but breakdowns usually occur unexpectedly, and frequently have to be made good by the resident staff with such simple materials and facilities as may be at hand. In most cases the author prefers to arrange junction boxes at the top and the bottom of shafts, so that the shaft cables can be severally tested independently of the surface and underground work. These boxes must be housed in dry places, secure from mechanical injury. For this purpose there should be sufficient free length of cable at top and bottom to allow the boxes to be placed well away from the drawing decks and pit bottom. An effective junction box manufactured by Messrs. J. Davis and Son is shown in Fig. 183. 64. UNDERGROUND CABLES; JUNCTION BOXES; SWITCHES AND CUT-OUTS. Each " district " is usually supplied from an independent pair of conductors coupled at the pit bottom to an omnibus bar or to a separate pair of shaft cables. These conductors are, therefore, of small size, not often ex- ceeding 19 strands of No. 16 S.W.G. They are carried on the "sides" or "roofs," being supported by wooden cleats or earthenware insulators, or buried in the " floor." The choice of the three methods will be determined by the peculiarities of the "level" in which they are run. The class of insu- lation will depend both upon the method of erection and the difficulties to be dealt with. In dry roads, well supplied with timber props and cross bearers, a light vulcanised rubber cable, carried in wooden cleats 314 ELECTRIC MOTIVE POWER. or on insulators, will prove to be cheap and efficient. An occa- sional fall of roof or sides will not as a rule cut it if a little slack be allowed between the supports ; and " creeping " of the floor will not affect it. Indeed, in the majority of cases where long lengths of small conductors, about 7/16 S.W.G., have to be carried to the " faces," this is the only practicable method, from the simple consideration of first cost. Wood casing is out of the question for " road-work," except for the lighting circuit near the pit bottom, not only because of its cost, but also because of the instability of most of the " roads." In main engine planes which have no " weight " upon them, permanent work may be made of the erection ; and it will generally pay to bury the cables beside the metals and to cover them loosely. But a rough wooden trench with a cover- ing board should be laid to receive the cables, unless they are armoured, for otherwise an unlucky blow from a pick may cause a breakdown. If heavily armoured concentric cables, as shown in Fig. 179, p. 308, are used, it is sufficient to bury them from about Gin. to 12in. below the surface of the road, well to one side, where they will not be disturbed during repairs to the metals and roads. If conductors are carried along "travelling" roads, it is specially necessary to secure them from damage at the hands of the miners, who are sometimes inclined to get " lightning " from them by means of their picks. If the road be dry and in a fairly settled condition cables may be laid in fine coal dust, covered by rough boards lin. thick, and then protected by a layer of coal dust of about 6in. deep. This forms a very safe and cheap bed for hemp-braided vulcanised rubber cables, or for lead-covered cables served or braided with hemp. It is specially serviceable in travelling roads, or where the con- ductors are laid for a temporary purpose. Whatever the class of cable or the method of laying it, how- ever, the conductor should not be in continuous lengths of more than about 500 yards, in order that a fault may be readily local- ised. At the junctions of sections cast-iron boxes (see Fig. 183, p. 312) should be placed, with screw terminals on porcelain bases, through which the necessary connections can be quickly made or UNDEEGEOUND CABLES. 315 unmade. On no account should cut-outs be placed at these points unless special provision be made to enclose them in flame- tight boxes ; they should be confined as far as possible to the generating station and pit bottom. At the far ends of the levels where the distributing mains are joined to the feeders, it is good practice to place cast-iron junction boxes in the "gates," so that any or all of the distributors may be coupled up according to requirements. It is imperative, if cut-outs be used here, as is sometimes necessary, that they be placed in flame-tight boxes, for this position is close to the coal faces, from which gas may be given off at any time. The "distributors " are necessarily of a temporary character and will be shifted as the work progresses. They must therefore be light and flexible. If convenient they may be carried upon the props, and in the absence of timber may be laid beside the roads, unless they are hung on rough iron spikes driven into the rock. In any case they will often be subjected to rough usage. For attachment to movable machines, such as coal cutters and rock drills, it is usual to provide either concentric or twin cables, insulated with vulcanised rubber and braided with steel wires. Either of these can be made sufficiently flexible, and they are also strong enough to stand being hauled across rough shale and coal. If a distributor feed a dip pump it should be erected in a semi-permanent manner ; since such pumps are liable to be drowned-out, and the plant may have to be withdrawn several hundred feet or yards at short notice. In such cases the con- ductors should be brought back with the motor, and not cut. They should be coiled and hung up at the pumping station, being uncoiled again as the water recedes. The best insulation for this work is vulcanised rubber well braided with hemp and ozokerited over all. For a polyphase current system it is necessary to run three or four conductors in place of the two required for a continuous- current or single-phase alternate system. For permanent work three conductors may be built into a concentric cable, which 316 ELECTRIC MOTIVE POWER. may be lead-covered and armoured. With a four-wire system two concentric cables of two conductors each are preferable. The method of erection is in no respect different from that adopted with continuous-current working. The three wires are carried practically as readily as two. FLAME-TIGHT SWITCHES, ETC. 317 The use of switches and fuses below ground in places likely to contain explosive gas requires careful regulation, and is likely to become the subject of special legislation in the future. The author states emphatically that, in his opinion, no switch, cut- out, junction box, or resistance frame that is not absolutely flame and dust-tight should be allowed in a coal mine where naked 318 ELECTRIC MOTIVE POWER. lights are prohibited. It is madness to forbid the use of a naked light and yet to allow the types of switches and'cut-outs some- times found in pits. To ensure absolute freedom from firing gas with a continuous- current motor is perhaps impossible, but nojsuch difficulty should be found with small stationary devices, such as switches, cut-outs, and junction boxes. It is merely a matter of expense, and proper precautions should be insisted upon in all permanent plants. (D CD [CD CD CD CD SLATE 0) CD 0) CD '|OD CD FIG. 184B. Showing Plan of Slate Base and Attachments to the Resistance Coils in Figs. 184 and 184A. In Figs. 184, 184A and 184s are shown various views of Davis's Mining Switch with resistance coils attached. It is used for starting and regulating motors. The whole is enclosed in an iron case, and the switch contact pieces break circuit in a gas- tight compartment. 65. UNINSULATED RETURNS; SAFETY CABLES. It has been the custom at some pits to use old iron ropes as returns. These are simply laid along the roads or hung up by hooks to the side props. The practice, however, is not to be recommended in pits where there is any chance of gas, and in a large plant, with a pressure of 500 volts, it would in any case be impossible. The author coupled a return in this manner at Andrew's House Pit, Durham, in 1887, the arrangement being UNINSULATED RETURNS. 319 adopted simply from considerations of first cost. The pressure at the dynamo terminals averaged 225 volts, and the po\\ er in this part of the circuit never exceeded 8 E.H.P. The rope lay for a considerable part of its total length of 1*25 miles in water. The leakage of current, inevitable in a pit, decomposed water at various places, and the iron corroded rapidly at the junction to the copper return near the motor, and small sparks could often be obtained between the rope and the tram metals near the pit bottom, thus showing that the iron rope, although lying on the wet ground, did not make good " earth." The danger was recognised and caused no difficulty ; but if the pit had been gaseous, it is probable that an explosion would have resulted. A bare separate return, if justifiable at all, can only be so on account of cheapness ; but the apparent saving is in most cases more than counterbalanced by after troubles. If, however, a system of concentric mains be used with the outer conductor in metallic contact with iron or steel wire armouring,* the conditions are altogether different ; and prob- ably as great an immunity from the danger due to a broken conductor can be obtained by this arrangement as by any of the patented safety cables. There are two classes of bare return concentric cables in use. They are shown in Figs. 185 and 186. The former has a lead covering, which is squirted around a copper conductor, the two together forming the outer or return circuit. Armouring can be applied outside, and this adds to the conductivity while pro- tecting the soft lead, whose chief function is to keep water from the insulation between the centre and outer conductors. The second class is cheaper, and the return circuit is formed simply by the armouring, which is placed directly upon the insulation. It is only suitable for use in dry places, where it will give good results. The chief advantages offered by these cables, in con- nection with mining work, is the security they give against * For example, the concentric cable system of Messrs. Mavor and Coulson. 320 ELECTRIC MOTIVE POWER. external sparking, and their mechanical strength, owing to which they may be stapled to rough walls, like gas piping. There are also conductors which may be collectively classed as " safety cables." In all of them the object is entirely to FIG. 185. Concentric Cable with uninsulated outer conductor consisting of a spiral of sheet copper under the lead, the lead, and the steel armouring. obviate sparking at the point of rupture when an active con- ductor is cut in two. The general method is to provide a small auxiliary cable in parallel to the main conductor. This, J n the event of a fall cutting the cables, is arranged to break FIG. 186. Concentric Cable with uninsulated outer conductor, consisting of a spiral of sheet copper under the steel armouring no lead. either before or after the main conductor is broken; and in each case actuates a magnetic cut-out which opens the main circuit. The idea will be best understood by reference to some of the better known solutions of the safety-cable problem. SAFETY CABLES. 321 Mr. LI. Atkinson, of Messrs. Easton, Anderson and Goolden, was the first to patent a cable of this class. It was not designed for concentric wiring, and hence two wires are required for each circuit. The cable (see Fig. 187) consists of two concentric conductors in parallel, insulated from each other, excepting at the main terminals of the circuit to be protected. The current therefore is in the same direction in each conductor. The outer, which is designed to carry the larger part of the current, is of any ordinary make. The inner is constructed of fine wire in the form of a continuous cylindrical coil, the outer diameter of which is covered by insulation, and forms the core around which the main conductor is laid. It is assumed that when a stone falls on the cable the outer con- FIG. 187. Atkinson Safety Mining Cable, showing the outer conductor cut through and the inner one drawn out. ductor, offering much resistance, may be cut through; but the loosely-coiled centre conductor will be simply drawn out of the insulation. The entire current will then pass through the fine wire, and blow a magnetic cut-out in the engine-room or other convenient place; the arc being thus transferred from a possibly dangerous spot to a safe one. The efficient action of this cable depends upon two conditions : (1.) Perfect insulation between the inner and outer con- ductors. (2.) The continuity of the fine wire circuit being preserved during the fall. 322 ELECTRIC MOTIVE POWER. In order to prevent an accidental contact between the two conductors interfering with the working of the cable, the in- ventor provides a resistance in series with the fine wire at its negative end, so that the fall of pressure is less along the inside than along the outside. The result is that there is always a difference of pressure between the inner and outer conductors at each part of the cable. And a short circuit between the two at any point causes an increase of current in the fine wire which operates the magnetic cut-out. Generally it is found that cables hung lightly, with plenty of slack, are dragged down and buried without suffering any damage other than slight surface abrasion ; but if they are firmly fixed they may be cut through as if with a knife. It, may, therefore be reasonably questioned whether a fall which is sufficiently heavy to cut a stout cable in two will not sever the fine conductor before the spirals have time to draw out. In recent installations a small separated insulated wire has been hung (beside the main conductor) with a few spirals twisted at intervals so as to allow a ready increase of length in the event of a fall or of any undue strain. This is found to be cheaper than the compound cable, and to give equally good results. It should be mentioned that Mr. Atkinson regards the cable as of more importance as a preventive against firing timber from arcs than as an absolute means of preventing sparks. The author is in accord with this view. For the time taken to move the detaching mechanism on the surface will chiefly determine the spark at the break in the cable, though its effect is limited by the resistance of the unbroken fine wire in parallel with the main wire. The Charleton cable, patented by Messrs. R. J. Charleton, of Newcastle-on-Tyne, is of similar make, but the inner conductor is merely a small wire, about No. 18 S.W.G. The currents in the two conductors are in the same direction. The action depends upon the fine wire breaking before the large one, when a magnetic cut-out is designed to open the main circuit. Suc- cessful working depends upon the maintenance of the insula- tion between the two circuits, and also upon the time required SAFETY CABLES. 323 to move the magnetic cut-out levers. If this is not consider- ably less than the period of time elapsing between the cut- ting of the two cables it is doubtful whether sparks will not occur almost simultaneously at the break and the cut-out. The problem is complicated by self-induction and capacity, which under suitable conditions may seriously affect the time required to open the cut-outs after the breakage of the main conductor. It will be easy, however, to experiment for any particular case. FIG. 188. Sectional View of Met Safety Cable. A, Armouring ; C, Main Cable ; C 1 , Auxiliary Conductor. Another interesting safety cable is the invention of M. Nolet, engineer of the Cockerill Company, Seraing, in conjunction with M. Jasper, of Liege, and has been applied to several coal mines in Belgium. It provides for a small wire insulated and built into the cable, as in the Charleton cable, but the currents in the two circuits are in opposite directions. FIG. 189. Diagram of Connections of Nolet Safety Cable. C, Main Cable ; Ci, Auxiliary Conductor ; E and E 1} Magnetic Cut-outs ; M, Motors. Large arrows show direction of main current ; small arrows that of the shunt current. A sectional view showing the method of construction is given in Fig. 188. The fine wire is coupled up as shown in Fig. 189. The function of the small wire circuit is to close the main circuit through the two magnetic cut-outs (one to each of the mains). 324 ELECTRIC MOTIVE POWER. Therefore, in the event of a breaking of the fine wire, the cut- out will operate and open the principal circuit. M. Nolet has recognised that repairs to cables, as generally constructed, cannot be properly carried out without the use of soldering irons, which are inadmissible in a mine. To pro- vide for this contingency his cable is made in short lengths, each section being provided with metal couplings for both of the conductors, as shown in Fig. 190. The rings for the subsidiary wire are shown at C', and those for the main con- ductor at C. The couplings are made to fit together with easy friction, and are so arranged that a sliding movement of about one quarter of an inch is sufficient to open the auxiliary circuit, while a considerable displacement is required to un- couple the outer conductor. The joints are protected by india-rubber tubes. The construction appears to admit of a certain time interval between the opening of the main circuit and the lifting of the FIG. 190. Sectional View of Nolet Safety Cable, showing the Method of Coupling-up. magnetic cut-out, and also provides a ready means of repairing a damaged section. But the cable must be costly, and a slow movement of the measures, throwing weight on the cable, might interrupt the auxiliary circuit unnecessarily. It may be questioned whether the device would have time to act in the event of a fall shearing the cable instantaneously, as some- times occurs. In the author's judgment, none of these safety conductors gives more security than that obtainable with an armoured con- centric one buried in the floor, or suspended loosely with plenty of slack between the supports. If a fall occurs, it will be brought down and buried. If the armour and outer conductor are cut through, the incision must first take plaee on one side, and then most probably the severed strands of the outer conductor will be pressed against the inner conductor, and so SAFETY CABLES. 325 blow the magnetic cut-out without opening the circuit; because the bottom half of the outer conductor cannot be cut through until the top half is brought into contact with the inner one. The truth of this can be easily demonstrated by cutting the cable through with a cold chisel and hammer. Success lies in hanging the cable so loosely that it cannot be cut through instantly. If this occur, it is doubtful whether the two conductors would always be jammed into good contact by a sudden blow, and so a spark might occur coincidently with the blowing of the magnetic cut-out. Another solution of the safety cable problem has been pro- posed by Mr. Frederick Hurd. The conductors are run in iron pipes, through which a current of fresh air is forced by a blower, the motors and regulating devices being protected in a similar manner. The plan is good, and, if properly carried out, would seem to afford safety against a large variety of risks. But there is no provision for opening the electric circuit when the pipes are broken. Messrs. R. B. Pownall & Son have carried the method a step farther. In a patent dated December 2, 1893, they provide means by which the maintenance of the electric circuit is made to depend directly upon the air pressure in the pipes ; so that, in the event of damage to the pipes, resulting in a leak or in total breakage, the escape of air lowers the plenum and opens the magnetic cut-out controlling the particular circuit. The details of the system have not yet been made public ; but the author is in a position to assert confidently that the scheme is a very practical one, and meets the varied requirements of colliery work in a most complete manner. The danger of firing gas through a broken cable is, how- ever, very remote. There is, so far as the author knows, no authentic instance of this having occurred, although the possi- bility is sufficiently evident. The fact is that, for obvious reasons, cables are not usually run in roads with "weight" on them, and, where this is un- avoidable, sufficient slack is allowed to prevent the nuisance 326 SELECTION OF TYPE OF MOTOR. 327 of frequent repairs, quite irrespective of the risk of an explo- sion, and, therefore, broken cables are rare. With the gradual extension of electric work in coal mines for driving portable as well as stationary machines, the risks from this cause will be increased, and it is wise to recognise the danger and to adopt the simple and efficacious remedies suggested by experience. This is specially desirable with new plants. 66. MOTORS AND DRIVEN MACHINES; SELECTION OF TYPE OF MOTOR; CONTINUOUS AND POLY- PHASE CURRENTS. The selection of the type of motor for any special work is generally not difficult. An approximate estimate of the power is easily arrived at, and a small error in its determination is of little importance; the crux lies in estimating the average and maximum torque. The cogency of this will be apparent on reference to the equations for torque of motor (11, p. 43), and to the mechanical characteristics of motors ( 14, p. 59). For example : Suppose it is required to drive a main pump, as shown in Fig. 191, on a continuous-current circuit at 500 volts pressure at the motor terminals. The theoretical power in the water is known, and the losses in rising main, pumps, gearing and motor, are easily determined. The maximum torque will occur at starting, when the motor has to overcome the statical friction of the pumps and set the column of water in motion. The average torque will be simply that due to the constant load with full delivery of water. To meet these conditions, it is necessary to have a motor with a magnetic field sufficiently strong to give the necessary starting torque without undue sparking or an excessive quantity of current ; and to give the working load at the designed speed with the highest possible efficiency consistent with a fair margin of power. The motor winding should, preferably, be in series (see 14, p. 60 ; also 23, pp. 1 16 and 121). The chief constructional point is sufficient strength in the armature shaft and bearings to start the pumps safely. If this ( 328 ) ELECTRIC HAULAGE. 329 be attended to the motor will be mechanically strong enough for the running load. Again, assume it is required to erect an endless rope hauling plant as illustrated in Fig. 192 on the same circuit. The various losses must first be determined, the weight of tubs, loaded and unloaded, debited and credited according to the grades, and a suitable allowance made for tub-wheel and rope friction. From these data the starting and the average torque can be determined. If the running load is fairly constant as is generally the case with an endless rope the series-wound motor is the most suitable, and the suggestions made with reference to the main pumping motor are equally applicable. The margin of power, however, requires to be greater than with pumps, as the load may be largely augmented at times by tubs leaving the rails. There is not much fear of overloading during busy periods, because an increase of torque will slow the motor and so decrease the actual power ; but, since the current will be temporarily in- creased, a margin for the heating effect in the windings must be provided. If, however, the system of haulage be a main-and-tail one, as indicated in Fig. 193, where the motor has to be frequently stopped, and to deal with a continually varying load, good speed regulation and perfect control of the motor become of more importance than efficiency. In this case a specially designed cumulative compound motor (see 14, p. 65) may be used, with a switch and starting resistance designed to keep the shunt coils always in circuit during work time, and to introduce a variable resistance in series with the armature and series windings. Reversals of motion should be made by means of friction clutches and gearing, and not by the motor, as this would introduce complications which are better avoided in pit work. The maximum torque in this case is generally that at starting, but not necessarily, as the load may start on the level and afterwards have to climb a steep grade. The best arrangement for working main-and-tail rope systems is to run the motor continuously, and to give forward or back- ward motion to the rope drums through friction clutches ( 330 0> I a H ( 331 ) 332 ELECTRIC MOTIVE POWER. mounted on an intermediate shaft. If the motor be designed in accordance with the above suggestions, no trouble will be experienced. The preceding remarks are also generally applicable to single-rope haulage, although in some cases, where the load is small and the pressure low, a series motor with a large starting resistance may prove satisfactory. A suitable arrangement for single rope haulage or winding is shown in Fig. 194. For main winding gear, which is worked practically con- tinuously during a shift, the author prefers a cumulative compound motor having a large regulating resistance, the motor running in one direction only, and the reversals being made through friction clutches as already described for main- and-tail hauling. But if the winding be used only occa- sionally, as frequently occurs with staple-pits, then a series motor with a large regulating resistance is preferable. The time occupied in raising the load is so short that the question of speed regulation does not enter into the problem. What is required is a large power at starting, gradually yet quickly applied, and perfect control over the cage at all parts of the run, but especially when stopping. It is also necessary to be able to raise or lower the cage a few inches. For such work the author has found series motors give excellent results. He finds it convenient to couple the brake lever to the friction clutch, so that when the brake is applied the circuit is opened, and the motor is then ready for raising or lowering as required. Dip pumps should invariably be driven by series-wound motors* if continuous currents be used. Several typical designs are shown in Figs. 195 and 195A. The first is a view of the Goolden-Atkinson pump, which has been largely used for draining dip areas. The second design is that of the pump made by the Jeffrey Company in America. It is permanently mounted on a trolley with removable wheels, and is a light and efficient pump. * See remarks on main pumps, p. 326. ( 333 ) 334 ELECTRIC MOTIVE POWER. Centrifugal pumps have generally a limited use in mines on account of their requiring to be " primed " before they will suck water, and also because there is always a risk of the pum}< ceasing to act if air gets into the suction pipe ; in fact, they require frequent attention. These pumps are not suitable for working against higher heads than 28ft. or 30ft. of water unless special precautions are provided for starting. They are suit- able for a low head and a large volume, and will be found useful in cases where the water is too " dirty " for a force pump. A usual arrangement is shown in Fig. 196. CENTRIFUGAL AND ROTARY PUMPS. 335 Fig. 196A refers to an American double rotary force pump, having a capacity of from 50 gallons to 75 gallons per minute. The design forms a very compact combination of pump and motor, which can be easily wheeled about a pit by one man. The I cu C c .~ bo II H a ^ rotary type of pump doea not find much favour with English mining engineers. It has the disadvantage of requiring to be primed like a centrifugal pump, and is not adapted for working with dirty water. It has, however, practically no slip, and can be worked at varying speeds without seriously affecting the 336 ELECTRIC MOTIVE POWER. efficiency. Both centrifugal and rotary pumps give the best results for dip working when the level of the suction pipe is so arranged as to charge the pump. Fans, either main or auxiliary, should also be driven by series motors, if run off a continuous-current circuit. The electric motor is peculiarly adapted for running fans, and it is somewhat surprising that this has not been recognised more fully. The author designed a 25-H P. main fan plant for a tin FIG. 196A. Jeffrey Double Rotary Dip Pump, mounted on a Trolley. mine at Eger, in Bohemia, in 1889, the dynamo being driven by water power at a distance of about half a mile from the motor. Stamp batteries and ore crushers should be driven by shunt or compound-wound motors, if continuous-currents are used. Coal cutters and rock drills have hitherto, with few exceptions, been run on continuous-current circuits. In order to avoid gracing " when running light, both differential compound and POLYPHASE CUREENTS IN MINING. 337 shunt windings have been tried with indifferent success com- parative regularity of speed has been gained at the expense of torque. After numerous experiments, the author has found series-wound motors to give the best results for driving coal cutters and drills. He prefers to control the speed by an external resistance. Other workers in this field have arrived at the same conclusions. But the success attained has not been sufficient to warrant the hope that coal will be cut largely in the future by machinery driven by continuous-current motors. The future appears to lie with the polyphase systems. The polyphase motor, having neither collector nor brushes, obviates the danger from sparking at the brushes a defect always present with continuous-current motors. And, since the speed can never exceed that of synchronism with the generator, racing is impossible. The regulation of polyphase currents can generally be accomplished in a small space by means of impedance coils without any possibility of sparking, for no part of the circuit need be opened or shunted (see Impedance Coil, p. '241), as is necessary with a continuous-current resistance regulator. (See 59, p. 293, for method of obtaining a large starting torque.) The sole point on which continuous-current motors are superior to polyphase ones, and then only with series winding, is as regards the starting torque. From this point of view they are undoubtedly the best and most efficient motors that can be built. The three-phase motor at starting is roughly comparable to a shunt motor ; it requires a starting resistance. (See Tables BB and CC, p. 289 ; also curves in Figs. 172 and 173, p. 294.) It is always possible, however, to start a motor before coupling it to the load if the initial torque be too great for the maximum motive effort. With drilling machines the drill car be slackened if necessary, and with coal-cutters the initial torque of the motor can be made sufficiently great to start the cutter against the friction of the debris, which is all that is necessary. A " fall " should be cleared away by hand. In driving large pumps and hauling gear, it will generally be advisable to use friction clutches, through which the load 338 ELECTRIC MOTIVE POWER. can be gradually applied after the motor has acquired it proper speed. The clutch does not entail extra expense in most cases, since its use is generally advisable, and often abso- lutely necessary even with continuous-current motors. .67. SAFETY MOTORS ; THE MINING MOTOR OF THE FUTURE. Attempts have been made to design a continuous-current motor perfectly free from the risk of firing gas from sparks at the commutator or from short circuits in the coils. It is admitted on all sides that so long as brushes and commutators (sliding contacts) are used it is impossible to work without sparks, which, under certain conditions, may fire explosive gas. It is, indeed, found experimentally that the small blue sparks occasionally seen on even the best continuous- -current motors are able to fire gas if the metal of the com- mutator becomes heated, as it will at times. It is, therefore, necessary to confine the explosion area to as small a space as convenient, in order to limit the effects and prevent communi- cation to the outer air. The first attempts were made in the direction of enclosing the entire motor in a metal case. It was soon found, however, that the quantity of air enclosed was too great to be safely tired, and this method has been abandoned by the majority of motor builders. Messrs. Mavor and Coulson have, however, devised a com- pletely enclosed motor (see Fig. 197) of admirable mechanical design, which is by far the best illustration of this class. Whether it may be classed among the " Safety " motors is perhaps a matter for experiment ; but there can be no doubt about the security it affords from accidental damage from any outside cause, and it is thoroughly dust-proof. The next obvious course was to enclose only the armature, commutator, and brushes. By suitable arrangements this can be done in a very effective manner, and the space so enclosed can be made small enough to limit an explosion to the protected area. But other difficulties are introduced. The design of the STEEL-CLAD MOTOR. 339 340 ELECTRIC MOTIVE POWER. brush gear is complicated, and the adjustment of the brushes is rendered exceedingly difficult, especially to unskilled hands. The author has built motors for coal cutting in this manner, and Messrs. Easton, Anderson and Goolden have patented various devices with a similar object. In Fig. 198 is shown a perspective view of the excellent safety mining motor made by Messrs. Easton, Anderson and SAFETY MOTORS. 341 Goolden. The general arrangement is easily understood. The armature, commutator, and brushes are encased in a metal compartment, the free space of which is small. The makers say that an explosion of gas within it cannot be communicated to the outer atmosphere. The author has had no opportunity of testing this important statement, but from his knowledge of the motor it appears to be correct, always assuming that the FIG. 199. Sectional view of Davis and Stokes' Inverted Commutator as used on their Safety Mining Motor. casing is in good condition and the inspection doors properly fastened. (See remarks on this subject on page 342.) Messrs. Davis and Stokes, of Derby, have also invented a " safety motor," a sectional view of part of which is shown in Fig. 199. It will be seen that the commutator is inverted, and the brushes placed inside of it, instead of on the outer perimeter, as is usual. The brush arms are attached 342 ELECTRIC MOTIVE POWER. to a movable ring, sliding upon the bearing parallel to the shaft, and arranged to lock in the proper running position through a screw collar. The brushes are thus placed in a small circular space inside the commutator, the cubic con- tents of which in small motors is about the same as that of a safety lamp ; and which, even in large machines, can always be made sufficiently small to render an explosion within it quite harmless. It should be noticed that the brushes can only be got at by the attendant when the motor is standing, and } therefore, when there is no chance of danger. Motors of this make have been tested in an explosive mixture of air and gas by Mr. John Rhodes, at Aid war k Main Colliery, who found that, although the gas continually flashed inside the com- mutator, it did not communicate flame to the outside. This is, perhaps, the safest form of continuous-current motor yet invented, and has been successfully used for the past four years in. connection with a variety of underground work. It is questionable, however, whether all these designs are not chiefly important as dust protectors. (It is absolutely necessary that a motor worked on a coal face should be dust- proof.) Though the cases may fit well when new, they probably soon get loose and defective from the rough usage inseparable from the class of work, and thus become useless as safety devices ; indeed, they may then be a positive source of danger from the apparent security attached to them. The only real safeguard against explosions from sparking at brushes and commutators (sliding contacts) is to do away with them altogether, and the only way in which this is practicable at present is by the use of polyphase motors. The mechanical simplicity and excellent speed regulation of these machines have already been urged. These advantages, in combination with their safety, must gradually tell. They will necessarily take the place of all other types of motors for driving coal cutters, rock drills, and other machines which have to be driven in a dusty atmosphere liable at any moment to be charged with gas. In the author's judgment the mining motor of the future will probably present the appearance of a circular iron box. MINING MOTOR OF THE FUTURE. 343 The revolving part will have no electrical connection with the supply mains, and will resemble an iron cylinder with closed ends and steel shaft. A breakdown of the insulation inside the cylinder will simply affect the efficiency ; it will not cause sparking. The windings in connection with the mains will be few in number, laid in recesses, and be entirely protected from external damage by means of the outer framework. The conductors will be of the concentric type ; and in permanent plants it is probable that the Pownall Safety Mining System, or some development of it, will be largely adopted. The junction boxes, switch, cut-outs, and regulating devices will be all flame-tight, and be protected by oil or by air under pressure. An explosion from an inadvertent spark will then be a more remote contingency than one from a safety lamp. AA2 CHAPTER X. COAL-CUTTING AND ROCK-DRILLING BY ELECTRIC POWER. 68. Introductory. 69. Rotary Bar Coal-Cutters : Goolden- Atkinson, Jeffrey, &c. 70. Rotary Side Wheel Coal-Cutters : Gillott and Copley, Yorkshire Engine Co., Snell-Waterhouse Coal-Cutters, &c. 71. Electric Power Drills : Rotary and Percussive Types ; Jeffrey, Marvin, and Van Depoele Drill. 68. INTRODUCTORY. THERE has always been a certain fascination about the appli- cation of electric power to coal-cutting and rock-drilling. It is easy to appreciate this feeling when one has had some experience of coal-getting. Indeed, it has been felt for a long time that a mechanical means of hewing coal is desirable from all points of view. Yet, strange to say, the problem has presented so many difficulties that its successful solution on a large scale still belongs to the future, although coal has been got by mechanical means in isolated cases for a long time past. The difficulties are well known, and may be regarded under two heads, each of considerable importance. The first refers to the mechanical side of the question, and hence properly belongs to the present discussion. The second relates to the system of working and the general management of mines, and cannot be treated here at length. But reference must be made to some of the obstacles thrown in the way of mechanical coal- getting by the men and the masters. The use of a coal-cutting machine may seem to be simply a question of the price of coal 346 ELECTRIC MOTIVE POWER. hewn by it in comparison with the cost of hand-hewn coal; and this is undoubtedly the case. But the cost of machine- won coal is at present necessarily based on figures resulting from the use of one or two machines, instead of on figures from a dozen worked on " faces " specially laid out for the purpose. It should be noted that the cost of the prime power for two or three machines is practically as great as that required for a dozen, and that the system of mains need not be proportionately increased for the larger number, because the power does not 'ncrease in direct proportion to the number of machines, as it is not possible to keep them all running at the same time. It is important, too, that machinery should be run as nearly con- tinuously as possible, which suggests the employment of several shifts of men. And this is only practicable, even if the men's union permit it, when the conditions are such that the coal can be carried away sufficiently quickly. In the majority of faces, as arranged to-day, this is impossible, and a machine cannot be kept at work continuously for even a shift of eight hours ; so that, from causes which are quite independent of the working capabilities of the machine, its theoretical output is never reached. This fact points to the necessity for a coal- cutter of smaller capacity than those now in use say a machine which would hole from 5 to 10 yards an hour, working under normal conditions and allowing the necessary time for clearing away the coal. Hitherto the aim has been rather to produce machines which, under favourable circumstances, will cut from 20 to 40 yards of face per hour. Bat a very casual inspection of a coal mine will demonstrate that such a rate cannot be maintained for any length of time, simply from the difficulties of clearing away through gates two chains apart, even neglect- ing for the moment the difficulty of keeping the face clear from falls of roof during the time necessary for removing the coal. If mechanical coal-getting is to be carried out on a large scale with the long-wall system, it will be necessary to modify the number and position of the gates in order to increase the facilities for clearing away. The question belongs to mining managers, and not to electrical engineers ; and this is, perhaps, one of the chief reasons why mechanically-driven coal-cutters , ELECTRIC COAL-CUTTING. 347 have not made as much progress as their undoubted utility appears to warrant. A colliery is being opened out (October, 1894) near Eckington, in which the whole of the work will be done electrically, even to the driving of the fan. The coal will be worked on the pillar and stall system by Jeffrey coal-cutters. This undertaking is due to American enterprise, and will be watched with the highest interest. It does not lie in the province of the present work to discuss the question of machines versus hand coal-getting. But it may be remarked that one of the best electric coal-cutters, with two men to work it, will easily hole as much as from 20 to 30 hewers; thus largely reducing the number of men required below ground. And since the number of accidents necessarily bears some direct proportion to the number of men employed, the introduction of machinery should have the effect of largely reducing the loss of life. The number of mechanical principles applied to coal-getting machines is astonishing, and the ingenuity displayed by many inventors, who evidently have not been in close touch with the principles of mining, is equally surprising. All conceivable methods of cutting, drilling, boring, shearing, and picking coal have been designed, on paper at least, and many of them have been applied to more or less practicable machines. The earliest attempts were made in the direction of a mechanical pick. As might be expected, the pick with the man at the back of it directing each blow did much the better work, and this method was soon dropped. The drill and the circular saw have given the most successful models upon which to work out a cutter, hence a variety of machines embodying these principles. The machines which have survived the initial stages and give some hope for future success are divisible into three main classes : (a) Bar cutters. (6) Rotary wheel or disc cutters. (c) Drills. 348 ELECTEIG MOTIVE POWER. 69. ROTARY BAR COAL-CUTTERS: GOOLDEN- ATKINSON, JEFFREY, ETC. Under the first head may be included all those machines which have a cutter-bar revolving either at right angles or parallel to the face of the coal. This type has so far proved the most successful in this country and in America, the best known being the Goolden-Atkinson bar cutter of English inven- tion, and the Jeffrey machine of American origin. The essential feature of the Goolden-Atkiuson machine is a tapered rotary bar, which is fitted with a series of cutters driven into tapered holes. They are arranged in a spiral form, the object being to clear out the cuttings and prevent the jamming of the bar. The shape, size, and general arrange- ment are the result of long and careful experiment by Messrs. Llewellyn and Claude Atkinson, the staff of Messrs. Easton, Anderson and Goolden, and the Electrical Coal Cutting Cor- poration. The main idea is shown in Figs. 200 and 200A. The cutter-bar (see Fig. 201) is usually geared to the armature shaft by a pair of cast steel double helical wheels running in oil, and makes from 300 to 500 revolutions per minute, according to the material being cut. The motors are always wound in series, and hence the speed varies inversely as the resistance ; which is exactly the best condition for work of this kind, since it prevents undue shocks to the motor, and tends to keep the power absorbed within safe limits. It will be seen that the motor is thoroughly protected from mechanical injury either from falls of roof or sides, and that the armature and commutator are fitted into a dust-tight and flame-tight compartment of dimensions as small as are consistent with the safe and effective handling of the brushes. The cutting mechanism as a whole is made to swing through an arc of rather more than 90deg. on the turntable which carries it (see Fig. 20lA). This gives facilities for shifting the machine from point to point in the mine, and also enables the bar to cut its way into the coal until it is at right angles to the face and ready for holing. Fig. 201 A gives a view of the machine as arranged for work. In the early machines of this GOOLDEN-ATKINSON ELECTEIC COAL-CUTTER. 349 350 ELECTRIC MOTIVE POWER. class the coal was always picked out to give the bar a start. Since the bar has to be carried by bearings it may be thought that coal cannot be cut level with the floor by the bar type of machine; but this difficulty is successfully met. By arranging ELECTRICAL COAL-CUTTING CORPORATION. 351 the seats of the turntable at a proper angle, and causing it to revolve in an inclined plane, the makers contrive to keep the bar nearly horizontal, and below the level of the rails when at right angles to the face in the cutting position, and yet to lift over the rails when turned parallel to the face. In this way a flooring of regular slope is made at every cut, and forms the floor for the rails during the next cut. In the majority of cases it is not found necessary to level the floor, although when cutting in coal it may pay to do so. The feed is made by a hand winch as in Fig. 20lA, or is worked auto- matically from the motor shaft. The author believes that hand feeding is found to be the more satisfactory method with this machine. The Electrical Coal Cutting Corporation have for some years been working coal at a contract price per ton hewn or per linear yard undercut to a specified depth. They supply the whole of the plant and the men to work the machine, while the col- liery proprietors find the labour for clearing away the coal from the faces, leaving them ready for the machines. This system, on the whole, has worked well, and, were it not for the difficulties already referred to, the machines would turn out a, much larger tonnage and, of course, return a larger interest on the capital outlay. The experience of the Corporation, whilst it has demon- strated that nearly every mine, working long-wall, can be suc- cessfully operated by electric coal-cutting machines, has also brought into further prominence the essential difference between hand and machine working, and the great difficulties of getting the owners and managers to appreciate the differ- ence, and to lay themselves out to apply to mining the discip- line and regularity obtaining in manufacturing industries. A modification of the Goolden-Atkinson machine has lately been introduced by Mr, Frederick Hurd, who for some years was on the staff of Messrs. Goolden and Co. No particulars of its performance have yet been published. A general idea of the machine may be gained from Fig. 202. There is a scoop built at the back of the bar to assist the clearing of the cuttings 352 ELECTRIC MOTIVE POWER. from the hole. This may or may not be an improvement; experience alone can determine; but the author believes its use has been abandoned after a few trials. It should be noted that the Goolden bar is claimed to clear itself by virtue of the spiral arrangement of the cutters. There are also some interesting devices for ventilating the motor and safe- guarding it against the risk of exploding gas. These consist of an elaborate system for circulating fresh air under pressure EIRTLEY ELECTRIC COAL-CUTTER. 353 along the conductors, which are encased in pipes for the purpose, and through the interior of the motor, the starting resistance and switch-board boxes, &c. The object in view is,. 'S - J> -4-3 O 2 1-g 3 3 o O o of course, most desirable ; but the expense necessary to execute- the system described in Mr. Hurd's patent specification is probably too great for ordinary requirements. 354 ELECTRIC MOTIVE POWER. Another bar cutter has been patented quite recently by Messrs. T. Heppell and Patterson, which embodies some novel features. One of these machines, built by Messrs. Ernest Scott 6 S I and Mountain, is shown in Figs. 203 and 204. The case is re- ,moved to show the motor and gearing. One of the special points is the endless chain used to clear away the cuttings. This is BIETLEY CUTTER-BAR. 355 shielded by a strong guard. The gearing consists of cast steel bevelled wheels and pinions. The machine is propelled by means of a steel rope which passes round a drum geared to the armature shaft by worm gearing, an eccentric, rod, pawl and ratchet. The design is very compact, and appears to be capable of being worked into a less height than the type of bar- cutter adopted by other makers ; but this remains to be proved, for many alterations may be required before the machine gets into regular work. The author believes that at present one of these machines is at work in the Cannock Chase district. Mr. Heppell says that one of these cutters at the Pilner Main Collieries is doing good work, cutting at the rate of about 20 yards per hour, 3ft. under. A sectional view of the cutter-bar is shown in Fig. 205. It is arranged to swing about the centre of supports, which permits of the cutters being readily examined, FIG. 205. Section of Birtley Cutter-Bar. and also facilitates the moving of the machine about a coal pit. It has three dovetailed grooves cut along its length. The cutters have corresponding dovetails, and are distanced by suitable pieces of steel. The cutters can obviously be arranged spirally or otherwise, as may be required. The Jeffrey coal-cutter is of different construction from any machine of English origin, and was, no doubt, first designed to meet the conditions of the American coal seams. Special machines are built to suit the conditions obtaining in British mines. The method of working will be readily grasped on an inspection of Fig. 206. The details of construction are shown in Fig. 207. It will be seen that the bar lies parallel to the coal face when in the cutting position. It is designed to hole as deep as 7ft. 356 ELECTRIC MOTIVE POWEE. Deep undercutting is an especial advantage in pillar and stall working with an average roof. This machine consists of a bed- frame, occupying a space 3ft. wide by 7ft. 2in. long, built up of O _o I I two steel channel bars firmly braced, the top plates on each carrying racks with the teeth downwards. Mounted upon and engaging with this bed-frame is the sliding frame, consisting JEFFREY ELECTRIC COAL-CUTTER. 357 BB 358 ELEOTEIC MOTIVE POWER. mainly of two steel bars, well braced, upon which is mounted at the rear end an electric motor. Upon the front end of this sliding frame is mounted the cutter-bar, held firmly by two solid steel shoes with brass bearings. The cutter-bar receives motion through an endless steel or bronze chain from the driving shaft, and as it revolves is fed forward by means of straight-cut gear and a worm and wheel. The bar is usually 36in. wide. In America the seams are generally much thicker than those in this country, and the roofs are sufficiently good to enable the face to be kept open for the distance necessary with a 6ft. or 7ft. holing, and pillar and stall working is chiefly practised. But in England the conditions of long-wall working rarely permit of such deep undercutting, and from 4ft. to 5ft. is, as a rule, the deepest cut advisable. At the Cannock and Rugeley Collieries, where two of the Jeffrey machines are at work, one holes 4ft. and the other 7ft. The electric motor occupies a space of about 20 inches square. It is designed to absorb a maximum of 15 E.H.P., and in some veins of coal does not require more than 7 '5 H.P. The American standard pressure is 220 volts, but this can be altered to suit circumstances. The armature is designed to run at 1,000 revolutions per minute, and the cutter-bar at 200. The momentum of the moving parts is such that the machine over- comes ordinary obstacles without difficulty, and, since the motor is not coupled rigidly to the bar, the vibrations are not transmitted to it, and the machine runs steadily and comparatively quietly. Two men are required to work it one at the switch at the back and the other as helper to clear the debris and to assist in shifting. The machine is taken from stall to stall on a special truck, shown in Fig. 208. When at work it is slid on to two boards or bars of iron in front of the coal, and fastened firmly by means of the front and rear jacks against the face and roof of the coal, which is thus sup- ported to some extent during the under-cutting. When the full depth of the cut is reached the feed is thrown off, and the cutter bar is returned to the starting position by means of reversing gear. The machine is then moved sideways for a distance equal to the length of the cutter bar, and another cut is made in the same manner. Each cut is made in ordinary JEFFREY ELECTRIC COAL-CUTTER. 359 BB2 360 ELECTRIC MOTIVE POWER. working in from three to six minutes. The output depends to- a great extent upon the skill of the men in moving and jacking the machine, and also upon the hardness of the coal, and whether the cut is made in coal or " dirt." In some seams these machines are said to cut from 40 to 66 linear yards of face to a depth of 6ft. in a shift of 10 hours. Since the depth of the undercut is roughly twice as great as that usually made with a bar machine of the Goolden-Atkinson type, this is equal to a length of face of from 80 to 130 yards, in com- parison with the performance of the latter. Assuming these figures to be correct, it would appear that although the Jeffrey machine has to be shifted after every cut, yet it may cut a greater area of coal than the Goolden-Atkinson machine, which, the author understands, does not average more than from 80 to 100 yards of face in this time. In comparing the two, stress must be laid on their relative suitability for different kinds of work. The Goolden-Atkinson machine requires a space between the face and the props at the goaf of not more than four feet at the outside, whereas the Jeffrey machine cannot be worked in a smaller space than six feet; but with the latter the depth of undercut may be nearly double that with the former, though, of course, the total length of roof unsupported will be then nearly twice as- great. It is, therefore, obvious that the side cutter-bar can be used in places where the front cutter-bar cannot possibly be. It must be remembered also that the Jeffrey coal-cutter makes a capital heading machine, while the side cutter cannot be used for this purpose. The two machines are not, therefore, rivals for the same work in all cases. They cost in the first instance about the same, the motors are of the same rated capacity, and the actual power required in practice appears to be about the same. Hence there does not seem to be much to choose between them as regards the question of cost, but it is rather a matter of suitability for any particular case. The English agents for the Jeffrey mining machines are Messrs. John Davis and Son, who are placing these useful coal- cutters in various mines in England, Wales, and Scotland. TESTS OF ELECTEIC COAL-CUTTERS. 361 Mr. Williamson, of Cannock and Rugeley Collieries, who is using one of the Jeffrey machines with a 36in. bar, holing 4ft. in a 5ft. seam, says that the output of round coal is increased 15 per cent. that is to say, hand cutting makes 75 per cent, of round coal and the Jeffrey cutter 90. And that one machine, working single shifts, has increased the output by at least 60 tons per day. In Table DD are given a few results from a series of exhaus- tive trials of electric coal-cutters in mines in Ohio, U.S.A., made in 1890 by Mr. R. M. Haseltine, Chief Inspector of Mines. This gentleman found that the only electric coal-cutter in general use was the Jeffrey machine, and, therefore, most of his tests refer to this type. The Leichner and Thomson- Van Depoele machines (see the end of the series) are of com- paratively small output, and do not seem to have made much headway since the date of the report, so far as the author is aware ; while, on the other hand, the use of Jeffrey machines has steadily increased in American mines, and is now gaining a hold on mining engineers in this country. The figures are not directly comparable with those now obtaining in England, for the conditions are very different, and the machines have been since improved in many respects; but the results, taken collectively, may prove instructive to future users of electric coal-cutting plant, as they show, on the authority of an independent official and expert, what was being done in this direction as far back as 1890. The General Electric Company of America have built a modification of the front-cutter type machine, which is of interest. In it the cutter-bar is made to revolve in such a direction that the coal is cut upwards. It is claimed for this method that it assists the holding down, and hence there is less need for careful fastening by jacks and braces. In this machine there are four chains instead of the single one used with the Jeffrey machine. The Stine-Smith coal-cutter is also similar in design, and appears to be a soundly built machine. The author has no information about performances of either of the two last-mentioned machines. Table DD. Showing Results of Experiments made with Electrical Coal-C utters in Ohio, 1890, ly R. M. Haseltine^ Chief Inspector of Mines. 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In a few the wheels have been designed to cut vertically, or even at any angle, but in the majority the aim has been simply to make a horizontal cut as near the bottom as possible. The diameter of the wheel determines the depth of the undercut, which is limited in practice to from 39 to 55 inches, the latter being found to be as deep a cut as is desirable. If this depth be exceeded there is a strong proba- bility of the coal shearing at the back and fouling the wheel before it is clear of the cut, and if the cut be shallower the coal will not break readily by its own weight, but requires wedging down. Passing by the early inventors of these machines and coming to modern history, the firm of Messrs. Gillott and Copley stands in the front rank ; but from some cause, which is not very apparent, they have not shown a disposition to apply electric motors to their machines, preferring to continue the use of compressed air. The Yorkshire Engine Company have also built some excellent machines of this type, embodying several improve- ments on those of the former firm. They also have confined themselves to compressed air, although they have built to order a few electrically-driven machines. An illustration of one of their machines is given in Fig. 209, in order to show the general requirements of this type of plant, and also because the author has found from actual experience that the machines do excellent work. Fig. 210 is an enlarged view of the cutter- wheel, showing the method of supporting it in bearings. The design is arranged to hole at a few inches above the rail tops. Owing to the success which this class of coal-cutter has obtained when driven by compressed air, no radical change has SIDE- WR EEL COAL-CUTTER, 365 366 ELECTRIC MOTIVE POWER. been attempted by inventors when applying electricity. They have accepted the main principle, and have simply changed the motive power. On referring to Fig. 209 it will be seen that the side wheel is fitted with two kinds of cutters. Every alternate one has Y-shaped teeth, while the remainder are straight. The function of the latter is to tear out the centre of the cut, while the former clears it out to the desired width, usually about Sin. In air-driven machines the speed of the wheel varies from 15 to 30 revolutions per minute, according to the kind of dirt and its resistance. This speed is found to be too slow for the electric motor, since the reducing gear is costly and cumber- some ; therefore all who have tried to apply electricity have FIG. 210. Cutter-Wheel : Yorkshire Engine Company. endeavoured to raise the cutter-wheel speed as much as possible. This has necessitated strengthening the machine as a whole, and has increased the dead weight from about 25cwt. to about 35cwt. The increased speed, however, has caused no trouble in working. In fact, the momentum of the moving parts is so great that obstacles which caused serious shocks at the slower speed are scarcely felt at the higher speed of from 70 to 100 revolutions per minute. And the increased weight tends to prevent derailment. While upon the subject of weight, it may be remarked that if it is desirable to limit the weight of a coal-cutter to, say, lOcwt., which is about as much as any one man can shift about a pit with the aid of crowbars, it may be well worth while to pay special regard to the making of a light machine, But if it be necessary, from any cause, such as the need for a machine of greater capacity, to increase the weight SNELL-WATERHOUSE ELECTEIC COAL-GUTTER. 367 much beyond the limit just mentioned, then it appears to the author to be a matter of little importance whether the machine weighs 20cwt., SOcwt., or even 40cwt. In each case it is toe- heavy to be handled without special tools, and a screw jack is as much a part of its equipment as it is of a locomotive's. In fact, with the larger type of electric machines the increase of weight is by no means an unmixed evil, for it gives increased stability, and, no matter how rough the road, or uneven the dirt, the machine rides steadily through it all. The advantage of the wheel machine compared with the rotary bar lies in the low head room required, and perhaps in the enormous capacity of the wheel on long walls where the conditions are favourable. The author has, however, never seen a machine at work which had anything like a chance of working continuously, and so reaching the theoretical output. The majority of pits are so laid out that continuous working is practically impossible, and the most useful machine is that which, under the given con- ditions of normal working, will give the largest average output,, and not a maximum output for a short time under the best conditions. A number of patents have been taken out for side-wheel coal-cutters ; but perhaps the first practical machine was designed by the author and Mr. Major Waterhouse, of Glass Houghton Collieries, about four years ago. The general con- struction of this machine will be readily seen on an inspection of Figs. 211, 212, and 213, which are plan, longitudinal, and end views. Much detail is left out in order to show up the main features. It will be noticed that the design roughly resembles that of the Yorkshire Engine Company's compressed air machine. But, in fact, the whole of the details have been modified to suit the increased rate of speed and to accommodate the gearing. The machine was built to hole 3ft. Gin. in a seam 24in. in height, on a level with the floor, this being the first machine so designed. The maximum height above the rails was 22in. The cutter made from 80 to 100 revolutions per minute in various kinds of shale and coal, no difficulty being 368 ELECTRIC MOTIVE POWER. experienced either from their hardness or from iron pyrites. The weight was about 35cwt. At least two men were neces- sary to work the machine, and in soft coal with a rapid feed a third was required to keep the wheel from being fouled by the coal. The wheel was designed to run in either direction, but the inventors always arranged the cutters to feed out the cuttings at the back of the machine, instead of at the front, as is frequently done in air machines. It was found, however, that SNELL-WATERHOUSE ELECTRIC COAL-CUTTER. 369 the wheel did not sufficiently clear itself, and that a man was required to shovel out the loose coal at the front from time to time. The power absorbed did not vary so much as was expected. The automatic feed, actuated by a worm and wheel from the first cross shaft, nicely adjusted the speed of the machine to the resistance of the cut. The motor was wound 370 ELECTRIC MOTIVE POWER. in simple series, and thus the current varied in proportion to the torque. And, since the pressure decreased slightly as the load increased, the tendency was to equalise the power absorbed and to vary the rate of feed with the degree of resistance to the cutters. The chief difficulties met with at Glass Houghton were due to the peculiar formation of the seam, which is 22in. in height with a thin parting near the middle. The holing was made on the level of the floor in the fireclay, and presented no serious diffi- culty. But the lower coal broke away from the parting, leav- ing the tops in position, and frequently fouled the wheel before a cut could be made sufficiently long for the introduction of Under these conditions the time wasted in clearing FIG. 213. Snell-Waterhouse Coal-Cutter. End View. the wheel more than counterbalanced any gain from the high rate of speed at which the machine holed when the coal remained firmly in position. A bar-cutter might have suc- ceeded here if more head room had been permissible, for it is obvious that the fall of coal behind the bar, or even on the top of it, would not be so serious as with a side wheel. But in this case the large number of iron balls in the clay were held to be an obstacle in the way of the bar-cutter, and, in addition, the bar could not be made to cut perfectly level with the floor- ing, as was desirable. The power absorbed varied from 10 to 17 E.H.P. The motor was designed to give 15 B.H.P. at about 800 revolutions, and was of the armoured type adopted by Messrs. Lahmeyer and other Continental firms, but not much known in England. The design is well adapted for use on a ELECTRIC COAL HEADER. 371 coal-cutting machine, as the massive field-magnets protect the field windings and the armature from damage by falls of roof or accidental injury during working. At present there are running in Yorkshire collieries a few electric side-wheel machines which have been developed from the Glass Houghton one, but no particulars of their working have been published. Under suitable conditions, however, they must give economic results. FIG. 214.- - Wan tling- Johnson Electric Coal- Cutter and Heading Machine. FIG. 215. Plan of Cutter-Wheels of Wantling-Johnson Electric Coal- Cutter. A smaller type of wheel machine of American origin is shown in Fig. 214. It is the invention of Messrs. Wantling and Johnson, and was shown at the World's Fair, Chicago, 1893. The author has no particulars about its performance, but it seems to be a practical machine. It is adapted for making vertical or horizontal cuts, but cannot be set to cut level with the floor. It appears to be especially suitable for heading work. The cutter-wheels are shown in plan in Fig. 215. There are two wheels revolving in opposite directions. 372 ELECTRIC MOTIVE POWER. ELECTRIC POWER DRILLS. 373 Their diameter can be made to suit requirements. The sketch in Fig. 214 shows the machine arranged for heading, in which case it is always parallel with the rails. For long-wall or pillar and stall working the motor and cutter would be at right angles to the rails and the coal. The method of steadying the cutter is clearly indicated in the figure. The Thomson-Houston " Mowing Machine " coal-cutter, shown in Fig. 216, presents several features entirely different from those of the preceding machines. It may be regarded as a modification of the Baird coal-cutter. The cutters are carried on a chain which passes round an overhanging arm capable of rotation through an arc of nearly ISOdeg. The illustration shows most of the working details. It appears to be suitable for long-wall working. There does not seem to be any definite information published with respect to its performances. Messrs. Mavor and Coulson have adopted Baird's design, but with several modifications ; the principal one being the use of worm gear for driving the cutter-chain. Their machine is designed to cut at the rate of one foot per minute through ordinary soft Scotch coal, the chain-wheel revolving at 60 revolutions per minute. The Jeffrey Company are also trying a cutter-chain on one of their special English machines, and expect it will effect a saving in power, since the width of the cut is reduced to 2'5in. 71. ELECTRIC POWER DRILLS: ROTARY AND PER- CUSSIVE TYPES; JEFFREY, MARVIN, AND VAN DEPOELE DRILL. In spite of the obvious advantages to be derived from the application of electric power to rock and coal drills, much pro- gress does not seem to have been made in this direction. The reasons for this are probably partly the same as those, already referred to, which have hindered the introduction of mechanical coal-getting, and, in addition, the cost of the conductors, which, no doubt, has been in many cases prohibitive. But there are also some difficulties peculiar to the work. c c 374 ELECTRIC MOTIVE POWER. Driving stone drifts is about as rough work as can be imagined, and the men employed are as rough as the work. But even more important than the rough treatment is the question of ventilation. Obviously, when driving a heading, there is a tendency for the air to stagnate, and there is diffi- culty in removing the fumes of powder after shots are fired unless fresh air can be brought up to the face. Now the com- pressed air drill exactly meets this requirement. The exhaust from the drill causes a steady draught, which cools and purifies the air, and powder fumes can always be cleared away by turn- ing on a little air. The electric drill, on the contrary, tends, if anything, to increase the difficulty, for the power wasted in the drill raises the temperature of the air at the face of the head- ing. This disadvantage is probably sufficient, in many cases, to render the use of electric drills impracticable, the mere question of cost of boring (gauged, usually, by work done in well-ventilated spots) being altogether subordinated to other considerations. Of course, for a variety of purposes, such as quarrying, working in well-ventilated spots, &c., these objec- tions have no weight. But even under the most favourable circumstances the electric drill does not seem to have made much progress. There are two main principles upon which rock drills are designed : the rotary and the percussive. The rotary type is usually driven through gearing from a small motor. The percussive type is sometimes worked by a motor winding up a coiled spring, which at the proper moment uncoils and spends its energy upon the drill shaft. In other types the principle of magnetic attraction is used, the drill shaft being attached directly to the iron core of a solenoid. Hitherto the motor-driven drills have proved to be the more successful in general work. Several firms build these machines, each having a different way of gearing the motor to the drill shaft, but the general principle is the same. The best known in this country, as well as in America, is the Jeffrey drill. It is chiefly used for working in hard coal, and is found to give satisfactory results. In general the makers design the motors to work at a ELECTRIC COAL-DRILL. 375 pressure of 220 volts ; but this can be varied to suit special requirements. The rated output of the drills for 2in. holes is 2 H.P., but a factor of safety of two is allowed. They are stated to drill, in the hard "boney " found in anthracite mines, a 2in. hole, 6ft. deep, in from 2min. to 2Jmin., while in the coal they will cut a similar hole in less than a minute. One of these FIG. 217. Jeffrey Rotary Electric Rock and Coal Drill. drills is in use at Newbattle Colliery, Dalkeith. The manager, Mr. John Morrison, reports that it makes, in the hard splint coal, a 2in. hole, 4ft. deep, in the space of 5min., including the time taken to set the drill. (This, he adds, is equal to the work of four men, while the Jeffrey drill requires only one man. cc-2 376 ELEGTEIG MOTIVE POWER. A good idea of the general shape of the drill, and of the method of fixing it in position, will be gathered from Fig. 217. It will be seen that the motor is protected from mechanical injury by an iron shield. Any type of motor can be fitted to the drill, and probably a polyphase machine will ultimately be adopted. Various English firms have built electric drills for mining work, but, judging from the number in use, none of these has been so successful as the Jeffrey drill. The designs are usually heavier than that shown in Fig. 217. The reciprocating action of a solenoid is apparently well suited for actuating percussive drills. Yet the solenoid, energised by a continuous current, is the least effective means of using magnetic power through comparatively long distances. Its proper function is to attract an armature through a very short range, or to hold it firmly in position.* However, in spite of this manifest disadvantage, solenoidal action offers so many advantages in the design of percussive drills that it appears highly probable that this type of drill will ultimately come into more general use than the motor type. Therefore, a brief reference to the subject may be useful. The earliest attempts to utilise the principle were made in accordance with the diagram shown in Fig. 218. The current was supplied to the centre of two coils forming the solenoid, and was passed through them successively; the changing being controlled by means of a two-way switch, indicated at a and c. The iron shaft of the drill formed the core, and was attracted first by one coil and then by the other. This is a very waste- ful design, for the power absorbed during the instroke is the * Prof. S. P. Thompson has recently demonstrated that an alternate- current magnet possesses very different properties from those of a con- tinuous-current one. He shows that by means of an alternate current the pull of an electro -magnet on its armature may be extended through comparatively long distances, and may be even greater at, say, three inches than when closer. This important fact probably opens up a new field, and may, therefore, assist in the development of percussive drills. ELECTRIC PERGUS&IVE DRILLS. 377 same as that during the outstroke. An additional objection la- the trouble given by the contacts at the switch points. An improvement is possible by the use of a single solenoid drawing in a plunger against a strong coiled spring. The blow given by the recoil of the spring is very rapid, and resembles- the impact of a hammer if the bit be at the right striking dis- tance ; and, further, the instroke is made comparatively slowly, and does not shake the drill carriage. In case the stroke is too short to strike the work a spring cushion is provided to receive the blow. A two-way switch is required, however, and this practically renders the design useless. FIG. 218. Diagram of Electric Percussive Drill, with two-way switch at a c. A distinct advance is made by the use of pulsating or alternate currents, or a combination of them. There are many methods, but they all embody the following conditions : No switch is necessary, three or more wires are required, and also, in some cases, a special dynamo. The first is an absolute gain, for there is no trouble from sparking, and the last two are not serious difficulties when it is considered that these drills are only likely to be used in mines and places where it will pay to provide a suitable dynamo if the use of electric drills is deemed advisable. The simplest drill of this class is one coupled to a two-phase circuit, as shown in Fig. 219; but this has the disadvantage that the power used on the instroke is nearly as great as that on the outstroke. The number of blows given by drills of these types corresponds with the fre- quency of the alternator, and they are therefore adapted for 378 ELECTRIC MOTIVE POWEE. delivering many quick light blows per minute rather than a few heavy blows. A frequency of from four to ten per second is found to give the best results. A still better device is that applied in the Marvin drill. This is of the double solenoid type, and is one of the most FIG. 219. Diagram of Electric Percussive Drill, for use on circuit. No Switch required. two-phase successful in America. It is run off a special dynamo giving pulsating currents in two circuits. The connections are shown in Fig. 220. The dynamo armature, in its simplest form, has only one coil. One end of this is fixed to a continuous metal ring d lt on which rubs the brush Bjj the other is joined to a metal segment, d z , extending for 180 deg. and concentric with FIG. 220. Diagram of Marvin Electric Percussive Drill. r/ l5 (/o, rings on dynamo ; B 1? Bo, B 3 , fixed brushes. d r Two brushes, B 2 and B 3 , placed diametrically opposite to each other, rub against it. Three conductors are required ; one from the middle point of the solenoid is coupled to B I} and those from the ends of the coils are respectively joined to B 2 and B 3 . The two coils successively carry a current, and so give reciprocating motion to the drill. ELECTRIC PERCUSSIVE DRILLS. 379 The best results with reciprocating drills are likely to be obtained by the use of a combination of pulsating and alternating currents ; for the instroke can then be made without much waste of power, and yet a very effective blow can be delivered at each outstroke. This principle has been applied in the Van Depoele electric percussive drill. One form of the arrangement is shown diagrammatically in Fig. 221. The dynamo may be of any continuous current make, with an ordinary commutator, and the two usual fixed brushes at F x and F 2 ; but it requires the addition of two revolving brushes, R x and R 2 , separated by 180 deg. The coils in the solenoid are three in number, 1 and 3, coupled in opposition to each FIG. 221. Diagram of Van Depoele Electric Percussive Drill. R 1? R,, revolving brushes ; F 1} F 2 , fixed brushes ; 1, 2, 3, coils of drill. other, having few turns relatively to the main coil 2. The con- nections are made as follows : Coils 1 and 3 are in series with each other, and are coupled to the revolving brushes, R x and R 2 ; these coils are, therefore, traversed by an alternate current. Coil 2 is coupled to the fixed brush F l at one end, and at the other to the junction of coil 3 with the rotat- ing brush R x ; it is, therefore, energised by a pulsating current, and exerts the chief effect on the plunger with a polarity always in the same direction. The blow is made mainly by the action of the centre coil, the end coils practically neutralising each other. The return stroke is chiefly due to the resultant pull of the two end coils, as the centre one varies between zero and a maximum. At a first glance there seems to be in this design a departure from simplicity without any compensating 380 ELECTRIC MOTIVE POWER. gain, but on a closer examination it will be seen that it marks a considerable advance, and that the chief difficulties referred to in the early part of this section are to a great extent over- come. The instroke can be made as light and the outstroke as heavy as required, both of these desirable ends being attained without the use of any switch or complicated gear in the drill. Also only three small conductors are required, and the dynamo gives a continuous current, and can be used for lighting or motor work. The chief difficulty likely to be experienced with the Van Depoele drill appears to lie in the heating of the iron cores from hysteresis and eddy currents. This, however, will be gradually overcome as experience suggests better methods of building the core and framing. APPENDIX. LONG-DISTANCE TRANSMISSION OF POWER. The distance through which power may be economically transmitted by electricity depends upon so many varying con- ditions that it is not possible to give a definite limit, although one can be found for any particular case.* The theoretical considerations affecting the losses in the line are discussed fully in 16, pp. 70-79, and the practical difficulties in 17 to 20. The data given there are sufficient to enable a complete investigation to be made for any case likely to occur in practice. It may be useful, however, to have a table of the relative costs of continuous-current power plants for the usual pressures, and for such distances as are likely to commend themselves for ordinary practice. It will be obvious, however, that the figures must necessarily be but approximations, and in some cases may be even misleading, unless the require- ments of the problem are determined by one who has a prac- tical knowledge of the work. The author has prepared Table E E, in which the costs are all expressed in terms of per H.P. delivered by the motor. The line is supposed to be of bare sicilium bronze, erected on wooden posts, with oil insulators. The dynamo cost includes a proportional share of station instrument?, and that of the motor includes switches and starting frames, whilst the line cost is inclusive of posts, insulators, lightning arresters, and other details. The prices, which allow a slight margin for market fluctua- tions, include packing. The erection cost is a variable quantity, and must be determined for each case. * See page 132. 382 ELECTRIC MOTIVE POWER. Table E E. Cost of Continuous- Current Plants for Trans- mission of Power. -p 2 s OD t 0) 5 3^ Per H.P. delivered by Motor. a II l| p^ 5 __ ||| ^1 f ll 6^ CL *'* I i D ^ na -!Wire. Motor. Total Electrical O 8 H h ti M ^** ~ mo. equip- t 1 ) _Q ^ 11 i ment. 5,000 500 1-62 75 1-33 14-595 4-331 9'975 28-901 10,000 500 1-62 65 1-54 16-891 ! 7-218 9-975 I 34 084 15,000 5,000 500 800 1-62 1-013 50 80 2-00 21-945 7-166 9'975 1-25 |l5-763 3-715 10-972 39-086 30-450 10,000 800 1-013 75 1-33 16-773 6-825 10'972 34-570 15,000 800 1-013 70 ]-43 18-033 9-187 10-972 38-192 20,000 800 1-013 65 1-54 19-411 10-828 10'973 41-211 25,000 800 1-013 60 1-67 21-052 i 13-072j 10-972 45 '096 30,000 800 1-013 55 1-82 :22-955 14-437 10-972 48'364 35,000 800 1-013 50 200 25-22615-2510-972 51423 10,000 1,000 0-81 80 1-25 16-405 9-515 11-471 37-392 15,000 1,000 0-81 75 1-33 17-456 9-89611-471! 38'823 20,000 1,000 0-81 70 143 118-768 '10-500 11-471 40'739 25,000 1,000 0-81 65 1-54 20-212 11-356 11-47 L: 43'049 30,000 1,003 0-81 60 1-67 21-918 12-022 11-471! 45-411 35,000 1,030 0-81 55 1-82 23-88712-52111-471 47879 40,000 1.000 0-81 50 2-00 2V250 12-678 11-471 50399 45,000 1,000 081 45 2-25 29-531 11-812 11-471 52'814 50,000 1,000 0-81 45 2-25 29-531 14-765 ll'47i 55767 In many of the problems brought before the electrical engineer the distances are far greater than those assumed in Table E E, and much higher pressures are necessary. The author is of opinion that for extra long distances the best way to deal with power transmission is by polyphase currents {see Chapter VIII., especially 54, p. 267). If the pressure at the alternators can be kept below 7,000 volts, it will not be necessary to use step-up transformers ; but if the pressure exceeds this it will generally be advisable to use them. The cost of the alternators and transformers rapidly de- creases as the output is increased. The cost of alternators of, say, 100 kilowatts capacity is about <7 per kilowatt, in- cluding station apparatus; while it has been estimated in connection with the Niagara plant that, with outputs of 4,000 APPENDIX. 383 kilowatts, the cost will not exceed '2. Transformers of 100 kilowatt capacity average 5 per kilowatt, and in very large sizes are offered by manufacturers at 1 per kilowatt. These figures are so far apart that it is not possible to give any general data for the generating plant, or even for the motors ; but with the line a fair approximation is possible, since the cost of copper may be taken as fairly constant within the limits of the quantities required. Table FF has been pre- Table FF. Cost of Line and of H.P. delivered, with Three-phase Circuits, for various Distances and Pressures. Distance Area of each Effective pressure Current Efficiency of con- Total cost of Cost per H.P. in conductor between ductors line at Is. delivered Feet. in square mains in main in in per Ib. of by inches. volts. amperes. per cent. copper. motor. For 100 brake horse-power. s. 25,000 0-0067 5,000 8-75 97-0 200 2 50,000 0-0067 7,000 6'25 \ 97'0 400 4 100,000 \ 0-0067 10,000 4-375 97-0 800 8 150,000 l 0-0067 10,000 4-375 95-5 1,200 12 250,000 ! 0-0067 10,000 4-375 92-5 2,OCO 20 375,000 0-0067 10,000 4-375 89-0 3,000 30 500,000 0-0067 10,000 4-375 86-0 4,000 40 For 200 brake horse-power. 1 25,000 i 0-0067 5,000 17-50 94-0 200 50,000 ' 0-0067 7,000 13-5 92-5 400 100,000 0-0067 i 10,000 8-75 94-0 800 150,OCO 0-0067 ; ] 0,000 8-75 91-0 1,200 250,000 0-0067 ! 12,500 7-0 90-0 2,000 375,000 1 0-0067 15,000 5-83 90-0 3,000 500,000 0-0067 20,000 4-375 92-5 4,000 s. 1 2 10 15 20 For 500 brake horse -power. 25.000 0-0134 10,000 26-25 ; 97-5 400 50.000 0-0134 10,000 26-25 94-5 800 1 100,000 0-0134 [ 10,000 26-25 92-0 1,600 3 150.000 0-0134 10.000 26-25 84-5 2.400 4 250,000 0-0134 I 1^500 21-00 ! 84-0 4,000 8 375,000 0-0134 i 15.000 17-50 I 83-5 6,000 12 500,000 0-0134 20,000 13-15 ' 87-0 8,000 16 16 1 12 4 4 16 384 ELECTRIC MOTIVE POWER. pared to give a rough idea of the cost of copper for overhead lines for powers of 100, 200, and 500 H.P., delivered by motors with three-phase currents at various efficiencies and pressures up to 20,000 volts, and transmitted through various distances. In these calculations an allowance of 5 per cent, has been made for the sagging of the wires, so that a distance of 5,000ft. requires 1 mile, or 5,280ft., of conductor. For first approximations each 5,000ft. in the first column may be taken as a mile. The size of conductor chosen in the first two series is No. 13 S.B.W., which is, perhaps, the smallest consistent with the requirements of mechanical stability. The line losses are chosen arbitrarily. The most instructive thing to notice is the cost per horse-power delivered by the motor. The necessity for high pressures is very apparent. Tables EE and FF should be compared with Table X, p. 268. It I GENERAL ALPHABETICAL INDEX. PAGE Accumulators, Use of 136,297 Aerial Lines - 79,81,93,102 Air-Blast Lightning Discharger 108 Air-Gap ... 21,29,36,292 Alternate Currents, Advantages of 211,216 Principles of 150,218,221 Transmission of Power by ... 211, 216, 245, 251, 267, 283, 297 Alternate- Current Motor, Critical Exciting Current of 176 Motors, Polyphase 251,283 Motors, Single-Phase 149,177 Transformers 187, 197, 273 Alternator, Allgemeine Electricitiits Gesellschaft .., 290 - Armatures of 156,172 Asynchronous ... ... ... ... ... ... 179, 181 Brown, C. E. L 151,176 - Compound-Wound 232 Curves of Pressure of ... ... ... ... ... ... 157 Design of 156,175,292 - Effect of Iron Cores in 172 Efficiency of ... ... ... ... ... ... ... 172 Excitation of 176,179,231 Ferranti 172 - Fields of 156 Guicher 159,172 Heating of 172 -High-Pressure 175,208,269,284,286 . Kapp 175,291 Mordey 151,172,176,178 Oerlikon Polyphase 284 - Parallel Running of 215,238 - Polyphase or Multiphase ... 251,283 Series Working not Possible with Synchronous ... ... 213 - Speed of 176 Thomson-Houston ... ... ... ... ... ... 232 - Types of Westinghouse Ang.eofLead 32,38 Arc Lighting Dynamos ... ... ... ... ... ... 117, 232 Armature, Bar- Wound ... ... ... ... ... ... 17, 21 Current Density of 20,175 386 INDEX. PAGE Armature, Design of 18,49 -Diameter of 16,26,46 Driving Horns for ... ... ... ... ... ... 45 -Drum 17,172 - Equations for 16,18,46 -Gramme 17,46,172 -Heating of 20,175 - Hole in 19 - Load of (see also Circumflux) ... ... ... ... . . 21 - Magnetic Flux in 18,29,175 - Number of Turns in ... ... ... ... ... . . 19 - Plates for 35 - Radial Depth of 19 -Reactions 37,65,179,255 Section of, for Designing Purposes ... ... ... ... 49 -Speed of 20,176 - Total E.M.F 18 Arresters (see also Lightning Arresters and Dischargers) ... ... 102 Asynchronous Motor, Single-Phase ... ... .... ... ... 181 Atkinson's, LI. B., Safety Cable 321 Average Pressure ... ... ... ... ... ... ... ... 153 Back Electromotive Force of Motor ... ... ... ... ... 18 Turns 38,55 Baird Type of Coal-Cutter 372 Banti, Mons., Test of Asynchronous Single-Phase Motor ... ... 183 Bar Armatures ... ... ... ... ... ... ... 17,21 Bearer Wires for Overhead Lines ... ... ... ... 82, 93 Birtley Coal-Cutter 354 Board of Trade Unit 218 Boilers 7,304 Bronze for Line Wire ... 80,83 Brown, C. E. L., Alternator 151,290 Motors 180 Transformers 194 Built-in Systems of Conductors ... ... ..; ... .. ... 96 Cables, Armoured ,. ...87,221,308 Concentric 70,221,308,319 in Mines 70,307,313,318 in Pit Shafts 307 Insulated 84,87,307 Lead-Covered 87,307 Safety Mining 319,321 Callender System of Laying Conductors ... ... ... 88, 96 Callender-Ra worth System of Laying Conductors ... ... ... 99 Callender- Webber System of Laying Conductors ... ... ... 98 Capacity, Electrostatic, of Circuit 167,221,225,229 - of Alternator 229 -of the Line 221,225,229 of Transformer 208 Cardew Voltmeter 242 Carter, E. Tremlett, on Economic Law... ... ... ... ... 73 Caasell, Plant at 177,209 Central Station Dynamos, Regulation of ... ... ... ... 144 Centre of Gravity, Electrical, of Circuit 270 Centrifugal Force on Armatures ... ... ... ... ... 176 INDEX. 387 PAGE Centrifugal Governors for Dynamos and Motors ... ... ... 119 Characteristic Curves, Dynamos, Motors, and Alternators ... 59, 142, 287 - Mechanical, of Motors ... ... ... ... ... 59 Choice of Plant for Transmission of Power ... ... ... 7,306 Circumflux, Permissible, for Armatures ... ... ... ... 21 Clock Diagram 168 Coal Consumption, Economised by Use of Sub-Stations ... ... 218 Coal-Cutter, Atkinson -Goolden 345 - Baird Type 372 Birtley 354 - Kurd 351 -Jeffrey 347,355,372 - Snell-Waterhouse 367 - Thomson-Houston (The General Electric Co., U.S.A.) 361, 372 - Wan tling and Johnson ... ... ... ... ... 371 Coal-Cutters, Rotary Bar Types 348 - Side Wheel Types 364 Coal-Cutting by Electricity 336,345,360,364 at Glass Houghton Colliery .... ... ... ... 367,370 Coal-Drilling 372 Heading 360,371 Combined Polyphase and Continuous Current Circuits ... ... 297 - Two- and Three-Phase Circuits 278 Commutation of Current in Armature, Act of... ... ... ... 39 Comparison of Electrical Systems of Transmitting Power, Weight of Copper, &c. ... ... ... ... ... ... ... 268 Compensating Turns 38,231 Compensators, Electrical ... ... ... ... ... ... 233,236 Compound Winding 63,142,232 - Wound Alternator 232 Condenser Effects (see also Capacity) ... ... ... ... ... 167 Conductor, The 10, 69, 79, 84, 94, 102, 125, 218, 225 Conductors, Number of, in Armature ... ... ... ... ... 19 Conduits for Electric Cables 94 Connections of Polyphase Circuits ... ... ... ... ... 276 Constant Current, Distribution at ... ... ... ... ... 117 - Dynamos and Motors ... ... ... ... ... ... 117 - Regulators or Governors for ... ... ... ... ... 117 - Transformers 200 Constant Pressure, Distribution at ... ... .. ... ... 122 Consulting Engineer, Necessity for, in Power Work ... ... 303, 307 Conversion. Efficiency of Dynamo ... ... ... ... ... 9 - Efficiency of Transformers 189,196 Converters (see also Transformers) ... ... ... ... ... 187 Cooling Surface of Electric Machines .. ... .. ... 20. 31 Copper for Aerial or Overhead Lines 79,81,268,382 Quality of, for Overhead Wires 81 Specific Gravity of 80 Specific Resistance of 80 Tensile Strength of 80 Weight of, Required in Different Systems ... ... ... 268 Cores, Lamination of ... ... ... ... ... ... ... 173 - Watts lost by Hysteresis per cubic inch of ... ... ... 173 Cost of Electric Plant for Long Distance Transmission 381 Counter Electromotive Force in Motor ... ... ... ... 18 - of Self-induction 203,226 of the Line - 226 388 INDEX. PAGE Counter Electromotive Force in Transformer ... ... ... ... 203 Coupling of Compound- Wound Dynamos m Parallel ... ... ... 143 to Engines ... ... ... ... ... ... .. 6, 10 Critical Excitation of Alternator ... ... ... ... ... 176 Cross Induction (see also Armature Reactions) ... ... ... 37 Current, Constant, Distribution with ... ... ... ... ... 116 Constant, Economy of ... ... ... ... .. 116 Effective 153 Current Density in Armature Windings ... ... ... 20,175 - in Field Windings 31,52 - in Line 125,219 Currents in Quadrature ... ... ... ... ... ... .. 252 Curves, Characteristic 59.142,287 Curves of Horse-Power in Line ... ... .. ... ... ... 47 Magnetisation ... ... ... ... ... ... 35 - Pressure 154, 157, 177 Pressure, Drop of 47,226,287 - Torque 60, 6*, 67 Cycles of Magnetisation ... ... ... ... ... ... ... 150 - Periodic Current 150,154 Demagnetising Action of Armature ... ... ... ... ... 37 Action of Eddy Currents in Armature ... ... ... 39 Ampere Turns ... ... ... ... . . 38, 55 Density, Current, Permissible in Armature Coils ... ... ... 20 - Current, Permissible in Transformer .. ... ... ... 206 - Magnetic, in Armature Cores ... ... ... ... 29, 172 Magnetic, in Air Gap ... .. ... ... ... ... 29 Magnetic, in Field Cores ... ... ... ... ... 29 Magnetic, in Yokes ... ... ... ... ... 29, 33 Depoele. Van, Electric Percussive Rock Drill 379 Depth, Maximum Permissible, of Winding ... ... ... ... 21 - Radial, of Core 19 Design of Dynamo, Practical Example of ... ... ... 45,49 - Motor 43,49 - Poly phase Alternators 283,292 Diameter of Commutation ... ... ... ... ... ... 39 Dielectrics (see also Insulating Materials) ... ... .. ... 85 Difference of Pressure at Terminals ... .. ... ... ... 18 Dip Pumping by Electric Power ... .. ... ... ... 332 Dischargers (see also Lightning Dischargers) ... ... ... ... 102 Distortion of Magnetic Field ... ... ... .. ... 37.51 Distributors 123,134 Dobrowol- ky, von Doli vo, Polyphase Winding ... ... . . ... 265 Double Magnetic Circuit Field Magnet, Advantage of ... ... 24 Calculation for ... ... ... ... ... ... 37 Doulton's System of Stone Casing for Conductors ... ... ... 100 Dowson Gas Producer ... ... ... ... ... ... ... 9 Drag 011 Wires of Armature ... ... ... ... ... ... 44 Dra wing-in Systems of Conductors ... ... ... ... 98, 100 Drills, Electric Rock 372 Driving Horns ... ... ... ... ... ... ... ... 45 Drop Curves of Transformers ... ... ... ... ... ... 198 Drop of Pressure 47, 124, 142, 226, 231, 234 Drum Armatures ... ... ... ... ... ... ... ... 17 Dynamo and Motor in Series ... .. ... ... ... ... 121 Dynamo, Bipolar ... ... ... ... ... ... ... ... 22 INDEX. 389 PAGE Dynamo, Compound- Wound ... ... ... 65, 143 Constant- Current 116 Design of 16,45,49 Efficiency of ... 9 Equalising ... ... ... ... ... ... ... 135 Functions of ... ... ... ... ... ... ... 13 Governor for Series ... ... ... ... ... ... 117 Magnetic Leakage, Coefficient of 33 Multipolar 25 Output of 10,16,28 Separately -Excited 66 Series-Wound 60 116 Shunt-Wound 61 Steam 10 304 Transmission of Power, for 10,26,144 Dynamometer ... ... ... ... ... ... ... ... 244 Dynamotor 137,140,216 Earthing the Middle Wire 272 Economic Law of Lord Kelvin ... ... ... ... ... ... 72 E. Tremlett Carter on 73 Economy of Coal Consumption by use of Sub-Stations ... ... 218 Eddy Currents 173, 201, 206 Efficiency of Alternators 172 Dynamos ... ... ... ... ..- ... ...9, 46 Dynamotors ... ... ... ... ... ... ... 216 Motors ... 11,46 the Line 72 Transformers ... ... 188, 196 Electric Coal-Cutting 336 Coal-Cutting Corporation ... ... ... ... 348, 351 Power Plant, An ... ... ... ... ... ... ... 5 Rock Drilling 336,337,373 Electrical Centre of Gravity of Circuit 270 Electricity in Mining ... ... ... ... ... ... ...2,301 Electromotive Force, Average ... ... ... ... ... 153, 166 Condenser 167, 226 Effective 153, 166 Resultant 165, 168 Self-Induction 165,226 Square Root of Mean Square... ... ... ... ... 154 Total of Alternator 153,156 - Total of Dynamo 18 Total of Motor 18 Engine- House Equipment ... ... ... ... ... ...6,303 Equalising Dynamo ... ... ... ... ... ... ... 135 Equations of Alternator ... ... ... ... ... ... 156,163 Current in Line 124,127 Dynamo 16,20,36,38,43,52 Line, Conductor, &c. ... ... ... ... ... ... 72 Motor, Special (see also Dynamo) ... ... ... ... 43 -Transformer 188,197,198,201,206 Transmission Problems 72, 75 Ergmeters 245 Eeson, W. B., Dynamo Equations ... ... ... ... ... 21 On Asynchronous Single-Phase Motors 182 Excitation, Critical 176, 178 DD 390 INDEX. PAGE Excitation, Equation for Field-Magnets ... ... . . . . 52 for Field-Magnets 37, 52, 55, 59, 176, 255 for Gap Space ... ... ... ... ... ... 36 Methods of 59 Exciter, Separate, Use of ... ... ... ... .. 68 Exploding Gas in Mines 319,322,325,337,338,341 External Characteristic 60,61,64,67 Fall of Pressure on Feeders 47, 124, 142, 226, 231, 234 Fans, Electric, in Mines ... ... ... ... .. ... ... 336 Feeder System of Distribution ... ... ... ... ... ... 131 Feeders ... 123,134,136,144 Ferranti Transformer ... ... ... ... ... ... ... 191 Field, Magnetic Distortion of ... ... ... ... ... ...24,51 Field, Rotary Magnetic 251,256,263,266 Field-Magnets, Bipolar 23 Coils, Size of, for 31 Design of 22, 27, 31, 37, 41, 176 Formula) for ... ... ... ... ... ... ... 31 Heating of ... ... ... ... ... ... ... 31 Induction in ... ... ... ... ... ... ... 29 Joints in ... ... ... ... ... ... ... 34 Multipolar 25 Number of Poles 25,174 Types of 23 Figure of Merit for Conductors 81 Fleming. Prof. J. A., on Alternate- Current Transformers ... 155, 197, 199, 202, 205, 208, 231 Flux, Magnetic 18,29" Forbes, Prof. George, on Niagara Power Plant ... ... ... 272 Foucault Currents ' 173,201,206 Frankfort Experiment ... ... ... ... ... .. ... 209 Frequency of Periodic Currents 150,167,174.185,225,284 Effect of, on size of Alternators ... ... ... 167, 173 Fringe of Magnetic Field ... ... ... ... .-. ... 159 Ganz & Co., Method of Compensating for Drop in Feeders 235 Gap-space 21,29,36,292 Gas Engines .. ... ... ... ... ... ... ... 8 Gas, Producer 9 Gauge of Wire for Line, Choice of ... ... ... ... ..46,71 Goolden- Atkinson Electric Coal-Cutter 348 Pump ... ... ... ... ... ... ... 333 Safety Mining Motor 328,341 Governing Series Dynamos ... ... ... ... ... ... 117 Series Motors ... ... ._. ... ... ... ... 117 by Steam Pressure 179 Governors, Automatic 117,145,231,236 - Steam 179 Gramme, Dynamos, Advantages of 17 Armatures of ... ... ... ... ... ... ... 17 for Transmission of Power ... ... ... ... ... 46 Grounded Wire (see also Lightning Discharges) 105 Giilcher Alternator 159 Harmonic Function, An Alternate Current as an ... ... ... 154 Haseltine, R. M., Tests of Coal Cutters by 362- INDEX. 391 PAGE Haulage, Electric 329,330,332 Heating of Armatures ... ... ... ... ... ... ... 20 Field-Magnet Coils 31 Hedgehog Transformer ... ... ... ... ... 190 Henry, the Unit of Self-induction ... ... ... ... ... 166 High-Pressure Alternators 175,208,269,284,286 Dynamos ... 117, 270 Insulation 194,209 - Motors .. 1'7, '-470 -Transformers 195,209 Transmission of Power at ... 76, 116, 132, 209, 263, 283, 381 Hole Armatures 292 Hopkinson's, Drs. J. and E., Curves of Magnetic Induction... ... 34 Horse-Power of Dynamos and Motors ... ... ... ... 10, 28, 30 Curves of ... ... ... ... ... ... ... 47 Hurd, F., Coal-Cutter 351 Safety Cable 325 Hysteresis . ... ... ... ... ... ... ... ... 172 Waste of Power by 173,175,201,205 Impedance 225 Coil ... 241,337 Induction, Magnetic ... ... ... ... ... ... ...29,35 -Mutual 228 - Self 165, 223 Inductive Drop of Pressure ... ... ... ... ... ... 226 Insulated Cables 84 Insulating Substances, Table of ... ... ... ... ... ... 85 Insulators, High-Pressure ... ... ... ... ... ... 92 Low-Pressure ... ... ... ... ... ... ... 90 - Oil 92 Solid 90 Internal Characteristics of Series Dynamo and Motor ... ... 121 Iron, Induction Curves of... ... .., ... ... ... ... 35 for Magnets 22,29 Proportions of, in Dynamos and Motors ... ... ... 31, 34 in Transformers ... ... ... ... ... ... 196, 207 Iron-clad Field-Magnets 27,28,339 Jeffrey Electric Coal-Cutter 355 Electric Dip Pump 334,336 Electric Rock Drill 374 Johnson and Phillips Two-Phase Alternator ... ... ... ... 290 Joints in Magnetic Circuit ... ... ... ... ... ... 34 Junction Box ... ... ... ... ... ... ... 88, 97, 312 Kapp's Regulator for Drop of Pressure at End of Feeder ... ... 233 Two-Phase Alternator 291 Kelvin, Lord, Economic Law of ... ... ... ... ... ... 72 on Increase of Resistance with Alternate Currents ... 219 Kennelly, A. E 229 Kolbein, Mr., on Polyphase Circuits 267 Lag of Current behind Pressure ..., 168, 214, 223 Lamination of Armature Conductors ... ... ... ... ... 20 Lauff en, Transmission Plant at ... ... ... ... ... ... 209 Law of Alternate Currents 153 DD2 392 INDEX. PAGE Law of Magnetic Induction ... ... ... ... 34,37 Sine 154 Lead of Brushes, Dynamo and Motor 32,39 Leakage, Magnetic... ... ... ... ... ... 33 Magnetic, Coefficient of ... ... ... ... ... 33 Length of Mean Turn of Wire on Field-Magnets 52 Lightning Arresters, Functions of 102 for Power Plants 108,113 Telegraph and Telephone Types 106 Lightning Conductors ... ... ... 103 Lightning Discharger, Air- Blast Type 108 Alternate-Current 112 - Blow-out Type ~ 110 Wurts Ill Lightning Discharges ... ... ... 102 Discharging Wire ... ... ... ... 105 Limits of Magnetisation ... ... ... ... ... 29, 35 Non-Sparking Load ... .. ... ... ... 21 Output of Dynamo and Motor 21,22 Limiting Distance of Transmitting Power ... ... ... 132, 268 Line, The 10, 69, 79, 84, 94, 102, 125, 218, 225, 381 Lines of Magnetic Force ... ... ... ... ... 18,29 Load Factor 205,210,217 Locke and Co.'s, Power Plant at Messrs. 301 Lodge, Prof. Oliver J., on Lightning Discharges 102 Long-Distance Transmission of Power 132,268,307,381 Long Shunt 64 Loss in Line (see also The Line) 125,219 Machines, Driven , 11 Magnetic Circuit, Single and Multiple ... 24 Flux 18,29 Leakage 33,158 Pull on Armature ... .. ... ... ... ... 54 Magnetisation, Curves of ... ... ... ... ... ... ... 35 - Resultant, with Polyphase Current Excitation 263 Marvin's Electric Percussive Rock Drill ... ... ... ... 378 Mean Power of an Alternate Current 171 Measurement of Alternate Currents ... ... ... ... 155,242 - of Drop in Feeders 234 Measuring Instruments ... ... ... .. ... ... ... 242 Mechanical Characteristics of Motors 60,64,67 Mines, Coal- Cutting in 345 - Exploding Gas by Electric Spark in 319, 322, 325, 337, 338, 341 Fans in ... ... ... ... ... ... 336 Haulage in 329,330.332 Pumping in 327,332 Rock-Drilling in 372 Winding in ... ... ... ... 331 Mining, Central Power Station for .... ... ... ... ... 3 Electricity in 2, 70, 301, 313, 318, 327, 337 Junction Boxes ... ... ... ... ... ... 312 Motors 45,327,338,341 Pownall's Safety System 325 Safety Cables 319, 321, 325 Shaft Cables 307 Switches and Resistances ... ... ... ... 315,316 INDEX. 393 PAGE Mining, Underground Cables ... ... ... ... 313 - Uninsulated Keturn in 318 - Use of Cut-outs (Fuses) in 315,317 Mordey Alternator ... ... ... ... ... ... ... 15L - Transformer ... 192, 196 Motor, Alternate-Current, Asynchronous, Single-Phase 179 Alternate-Current, Polyphase, 252, 256, 263, 266, 282, 286, 289, 292 - Alternate-Current, Synchronous 149 Armature of ... ... ... ... ... ... ... 43 - Compound- Wound ... ... ... ... ... ... 6 Counter Pressure of ... ... ... ... 18 Davis and Stokes Safety 341,343 Design of Direct- Current ... ... ... ... ... 43 Function of ... ... ... .. ... ... ... 13 Goolden Safety 328,340 - Government of Constant- Current ... ... ... ... 119 Lead of Brushes 39 Mavor and Coulson Steel- Clad Mining... ... ... ... 338 Prime ... ... ... ... ... ... .. ... 6 Safety 338 Separately-Excited 68 Series-Wound 60, 116 Shaft of 45 Shunt- Wound 61 -Torque of 43,54,327,337 Transmission of Power ... ... ... ... ... ...11,68 Multiphase Currents (see Polyphase) Multiple- Wire Systems (see also Three- Wire Systems) 237 Multipolar Dynamos ... ... ... ... ... ... ... 25 - Design of 26 Mutual Induction of Circuits 228,229 Niagara, Power Plant at 272 Nolet Safety Cable 323 Notation, Algebraic Symbols used ... ... ... ... ... 15 Oerlikon Company Alternators 284.285 Asynchronous Single-Phase Motor ... ... ... ... 184 Oil as an Insulator 194 Insulators ... ... ... ... ... ... ... ... 92. Output of Dynamos 10,16,28,30 -Motors 10,16,28,30 Transformers 205, 210 Over-Compounding Dynamos ... ... ... ... ... ...63,65 Parallel, Coupling of Compound- Wound Dynamos in... ... ... 143 Working 122, 176, 179, 215, 246 Percussive Eock Drills 374,376 Peripheral Pull on Armature ... ... ... ... ... ...44,54 - Speed 20, 176 Phase of Alternator 178,213 Conversion... ... ... ... ... ... ... ... 278 Indicator 239 Pitch of Poles of Alternators 157 Polar Axis, Shifting of 32,39 Cavity, Arc of 21,34 394 INDEX. PAGE Pole-pieces 32,174 Curving of ... ... ... ... .. ... ... 49 - Number of, Effect of 174 Pole Tips, Reversing Fields at 39 Polyphase Alternators (see also Alternators) ... ... ... ... 283 - Alternators, Design of 292 Currents 251, 256, 267, 278, 292, 337, 383 Motors 252, 256, 263, 266, 282, 286, 289, 292, 337 - Motors, Starting 265,293,337 Posts for Overhead Lines ... ... .. ... ... ... 93 Power, Electric Transmission of, 3, 5, 76, 132, 210, 218, 236, 263, 272, 283, 301, 383 Factor 188,226 Mean ... ... ... ... ... ... ... ... 171 Plant, Electric 3,6,383 Product of two Factors ... ... ... ... ... ... 116 Pownall, R. B. and Son, Safety Mining System 325 Predetermination of Curves of Dynamos ... ... ... ... 34 Pressure, Constant, Distribution ... ... ... ... ... 122 - Difference of, at Terminals 18 Drop of 47, 124, 142, 226, 231, 234 - High, Transmission .. 208, iil6 Producer Gas ... ... ... ... ... ... ... ... 9 Pumps, Electric, Centrifugal ... ... ... ... ... ... 334 Dip 332,334 Main 327 Rotary 335 Racing of Motors 337 Radial Depth of Armature ... ... ... ... ... .. 19 Ra worth -Callender Conduit ... ... ... ... ... ... 99 Reaction of Armature on Field 39,179,255 Rectifiers 297 Regulating Properties of Compound Winding 65 Properties of Series Winding 59,62,121 Properties of Shunt Winding ... . ... ... 62 Properties of Separate Excitation .. .. ... ... 66 Regulation, Automatic 117, 145, 231, 236, 337 by Exciting Circuit 144 by Shifting Brushes 117 Regulators, Dynamotors as ... ... ... ... 135,137,146 Series Dynamos as ... ... ... ... ... ... 146 Relation between Effective and Average Pressure in Alternators . . . 163 Relative Merits of Two-and Three-Phase Currents 267 Resistance, Increase of, with Alternate Currents ... ... ... 218 for Regulating Pressure 231,337 - Specific Table of 80,85 Retardation of Phase of Alternate Currents 168,178,203,214 ' in Transformers ... ... ... ... ... ... 203 Return, Uninsulated ... ... ... ... ... ... 70, 318 Reversal of Current at Commutator 39 Reverse Parallel System of Distribution 130,216 Reversibility of Dynamo and Motor ... ... ... ... ... 11 Reversing of Motors in Mining Operations 329,332 Rock Drills, Electric ... 372 Rotarv Currents (see Polyphase) Magnetic Field 251,256,263,266 INDEX. 395 PAGE Safety Cable, Atkinson- Goolden 321 Charleton 322 Devices 247 Kurd 325 for Mining 318 Nolet 323 Safety Mining System, Pownall's 325 Motors 338 Say ers, W. B., Commutator Coils ... 40 Improvement in Dynamo Design ... ... ... 39,145 Winding for Drums ... ... ... ... ... ... 42 Schwabing, Dowson Gas Plant at ... ... ... ... ... 9 Scott, Charles F 225,278 Selection of Plant 7,8,327 Self-Induction 165,221 Causing Lag ... 165,171,223 Coefficient of 166 - Decrease of Output by 166,171 Decrease of Plant Efficiency by 171 Separate Excitation for Dynamos ... ... >.. ... ... 65 Series, Coupling Dynamos in ... ... ... ... ... 116,117 Coupling Motors in ... ... ... ... ... 116,117 Dynamo 59,121 Dynamo and Motor in 62,116,120 Motor 59,121 Power Transmission ... ... ... ... .. ... 116 Winding, Advantages of ... .. ... ... ... ... 62 Working 116,213 Shafts, Proportions of, for Motors 45 Shunt Dynamo ... ... ... ... ... ... ... ... 61 Shunt Motor ... ... ... ... ... ... ... ... 63 Silicium Bronze ... ... ... ... ... ... ... ... 83 Sine Curve 164 - Function 154 Law of Alternate Currents ... 154,163,176 Single-Phase Alternator (see also Alternators) 149 Alternate-Current Motor 149 Alternate Currents, Transmission of Power by ... ... 211 Size, Relation of, to Output of Dynamo ... ... ... ...28, 30 Slow-Speed Machine ... ... ... ... ... ... ... 10 Snell-Waterhouse Electric Coal-Cutter 367 Spacing Armature Winding ... ... ... ... ... ... 20 Spark Gap 107 Sparking, Cause of ... ... ... ... ... ... ... 21 - Load Limited by 21,39 Prevention of 21,39 Specific Resistance of Conductors ... ... ... ... ... 80 Speed, Dependence of Volts on 18,65 Effect of Low, in Alternators 174 in Relation to Cooling ... ... ... ... ... ... 20 in Relation to Power ... ... ... ... ... ... 18 Peripheral 20,176 Square-Section Wire for Armature ... ... ... ... ... 20 Stamp Batteries, Driving... ... ... ... ... ... ... 336 Standford's Water-Tight Joint in Piping 101 Starting Mining Motors 327,337 Station, Central Power, for Mining ... ... .,. ^ OF THX 0IU7IRSITY 396 INDEX. PAGE Steam Dynamos 10,304 Engines 6,303 Steel, Cast 29 Induction Curves of ... ... ... ... ... ... 35 Mild, Use of, in Dynamo Design ... ... ... ... 31 Steinmetz's Law 173 Step-up Transformers 208 Stokers, Mechanical 304 Stoneware Conduits ... ... ... ... ... ... ... 100 Sub-stations for Power Distribution ... ... ... ... 139,217 Sumpner, Dr. W. E 179.259 Symbols, List of 15,197 Synchroniser ... ... ... ... ... ... .. ... 239 Synchronism ... .. ... ... ... ... ... ... 213 Synchronous Motors 149,213,282 - Polyphase Motors .. 282 Systems of Transmitting Power, Weight of Copper required, etc. 267, 381 Tabulated Form for Designing Dynamos and Motors ... ... ... 56 Temperature, Rise of, in Armature .. .. ... ... ... 20 in Field Coils 31,32 Tests of American Electric Coal-Cutters 362 American Polyphase Motors ... ... ... ... ... 289 Oerlikon Polyphase Motors 286,289 Oerlikon Single -Phase Asynchronous Motors... ... ... 183 Thompson, Prof. S. P., on Alternate-Current Electro-Magnets ... 376 Alternate-Current Motors ... ... ... ... ... 178 - Phase Conversion 278 Thomson-Houston Air-Blast Lightning Discharger ... ... ... 108 : Alternator 240 Arc Dynamo ... ... ... ... ... ... ... 232 Coal-Cutter 372 Compensator ... ... ... ... ... ... ... 236 Transformers 195,196,200 Winding Engine, Electric ... ... ... ... ... 331 Three-Phase Circuits, Power in 261 Connections of ... ... ... ... ... ... ... 276 - Transmission of Power by ... ... ... ... .. 276 Three-Phase Alternators 256,273 Three-Wire Systems of Distribution ... 123, 132, 228, 237, 254, 272, 276 Size of Middle Wire 133 Toothed Armatures 42,292 Torque 43, 54, 118, 175, 263, 293, 337 Total E.M.F. of Armature 18 Traction, Motor 28,41 Series 120 Tr ansf ormer with Sub-divided Secondary Coil ... ... ... 237 Transformers, Brown, C. E. L 194 Brush 192, 196 Change Ratio of 229,246 Constant Current ... ... ... ... ... ... 199 Continuous Current (see Dynamotor) Copper Loss in ... 201,205 Curves of ... 198,202,204 Design of Alternate Current 190, 197, 200, 205 Dobrowolski Three-Phase 274 Drop of Pressure ... ... ... ... ... ... 197 INDEX. 397 PAGE Transformers, Efficiency of 188,196,205 - Ferrariti 191,201 Giilcher (W. B. Esson) 193 Heatingof 201,205 Hedgehog 190,199 Hysteretic Loss in ...201,205,207 - Iron in 207 Kapp ... ... ... ... ... ... ... ... 192 Kapp and Snell 193 - Kennedy, Rankin 194 Oerlikou Three-Phase, Tests of 286 Parallel Type 197 -Polyphase 273,281,286 - Power Factor of ... ... ... ... ... ... 188 Series Type 199 - Step-up 208 Thomson -Houston 195,196,200 - Three-Phase 274 Two-Phase 273 -Types of 187,190,199,237 - Use of, in Distribution of Power ... ... ... 187,209 Westinghouse . ...191,196,198 Transmission of Power 5, 76, 132, 210, 218, 236, 263, 272, 283, 301, 381 in Mines ...301,313,318 Systems of 115,211,267,276,381 Turbines 8 Two- and Three-Phase Circuits, Combination of ... ... ... 278 Relative Merits of 267 Two-Phase Currents (see also Polyphase Currents) ... ... 251,267 - Dynamo ... ... ... ... ... ... 253 - Motor 252 Two- Wire System of Distribution 124,128,381 Uninsulated Returns 70,318 Units and Symbols ... ... ... ... ... ... ... 15 Van Depoele Electric Percussive Rock Drill ... ... ... ... 379 Ventilation of Armature ... ... ... ... ... ... ... 21 - of Transformers 194 Wattless Currents 168 Wattmeter 179,188,243 Weight of Copper in Line 125,268 W'estinghouse Alternator... ... ... ... ... ... ... 172 Transformer 191,196 Willans and Robinson High-Speed Engine ... ... ... ... 305 Winding Engines, Electric, in Mines .. ... ... ... ... 331 Wood Casing in Mines 311,314 Work Diagram 169 Work per Revolution of Armature ... ... ... ... ... 44 Wurts Lightning Dischargers ... ... .. ... ,. 111,112 Yoke, Magnet ... ... ... ... ... ... ... ... 33 Proportions of ... ... ... ... ... ... ... 34 Yorkshire Engine Company Coal-Cutter ... ... .. ... 364 I EDISON & SWAN UNITED ELECTRIC LIGHT COMPANY, LIMITED. Head Offices, Warehouses, and Showrooms : EDISWAN BUILDINGS, 36 and 37, QUEEN ST., CHEAPSIPE, B.C. Telephone No. 1805. The Largest Manufacturers in the World of Incandescence Electric Lamps and Electric Light Fittings and Instruments. Fitted with any Desired Tei Contractors to the War Office, all Government Departments, many Colonial Governments, Largest Steamship Companies, Mining Companies, &c., &c. SOLE MANUFACTURERS of the SUNLIGHT LAMP, Single or Multiple Filament, from 100 to 2,000 candle-power. MANUFACTUREBS of the WATERHOUSE ARC LAMP, From 1,000 to 10.000 candle-power. West End Depot, Warehouses, and Showrooms : 50, PARLIAMENT STREET, S.W. Fully Illustrated Catalogue Free to any part of the World. INDEX TO ILLUSTRATIONS. I'IG. PAGE 1 Field-Magnets, Wrought Cores, Cast Yoke, Upright Type ... 23 2 Field-Magnets, Cast Iron Cores and Yoke, Upright Type 23 3 Field-Magnets, Wrought Iron, Inverted Upright Type 23 3A Field -Magnets, VN rought Iron, with Cast Iron Pole Pieces ... 23 4 \ Field-Magnets, Double Magnetic Circuit, Wrought Iron Cores, \ 24 5/ Cast Iron Pole Pieces ... J 25 6 Field- Magnets, Double Magnetic Circuit, Wrought Iron 25 7 Field-Magnets, Four Poles, Wrought Iron 26 8 Field-Magnets, Multipolar, Cast Iron 26 9 Field-Magnets, Armour-Clad 27 10 Thomson-Houston Tramcar Motor 28 11 Curves connecting Weight and Output of Dynamos and Motors 30 HA Curves connecting Cost and Output of Dynamos and Motors.. 30 12 Curves of Magnetic Induction in Iron and Air 35 12A Diagram of W. B. Savers' Commutator Coils 40 12s Sayers' Winding for Drum Armature 42 13 Curves of Drop of Pressure and Power Wasted per Mile of Conductor 47 14 Diagram showing Method of Designing Dynamo or Motor ... 49 14A Diagram of Path of Lines of Force in Armature 51 15A Diagram of Series Winding 60 IBB External Characteristic Curve of Series Dynamo 60 15c Mechanical Characteristic Curve of Series Motor 60 16A Diagram of Shunt Winding 61 I6u External Characteristic Curve of Shunt Dynamo 61 ]6c Mechanical Characteristic Curve of Shunt Motor 61 I?A Diagram of Compound Winding 64 17fi External Characteristic Curve of Over-Compounded Dynamo. 64 17c Mechanical Characteristic Curve of Compound Motor 64 18A Diagram of Separate-Excitation W hiding 67 18s External Characteristic Curve of Separately -Excited Dynamo. 67 18c Mechanical Characteristic Curve of Separately-Excited Motor. 67 19 Cable Hanger 82 20 Section of Armoured Cable 87 '21 Section of Concentric Armoured Cable 87 22 Junction Box for Single Cable 88 23 Junction Box for Concentric Cable, Plan 89 24 Junction Box for Concentric Cable, Elevation 89 25 Iron Stalks, Shackles, and Solid Insulators used for Low- Pressure Aerial Lines 90 31 1 to[ .34 J Oil Insulators used for High-Pressure Aerial Lines 92 .34 35 Leather Line-Suspender 93 36 Metal Line-Suspender 93 31 Callender Solid Bitu men System , Cross Section 96 400 ELECTEIG MOTIVE POWER. FIG. PAGE, 38 Callender Solid Bitumen System, Longitudinal Section 96 39 Callender Solid Bitumen System, Cross Section of Service Box 97 40 Callender Solid Bitumen System, Plan of Service Box 97 41 Callender- Webber Dra wing-in System, Manhole 98 42 Callender- Webber Dra wing-in System, Casing 98 43 Callender-Raworth Dra wing-in System, Cross Section of Casing 99 44 Doul ton's Stoneware Casing, Cross Section 100 44A Doulton's Stoneware Casing, showing Joint 100 45 \ Doulton's Stoneware Casing, showing Expanding Mandril for 45A/ Jointing 100 46 Standf orth's Watertight Joint for Stoneware Pipes 101 47 Grounded Wire on Aerial Circuit 105 48 Lightning Arrester with Plain Gap 106 49 Lightning Arrester with Toothed Gap 106 50 Keystone Pattern Air-Blast Arc Breaker 108 51 The Power Circuit Lightning Arrester ~ 109 5lA Thomson-Houston Arc Line Protector 110 52 The Wurts Lightning Arrester Ill 53 The Wurts Alternate- Current Lightning Arrester 112 54 Double-Pole Lightning Arrester for Continuous-Current Circuit 114 55 Diagram of Motors in Series 116 56 Curves of Series- W ound Dynamo and Motor in Series 121 57 Diagram of Lamps in Series of Five on 500-volt Circuit 124 58 Diagram of Motors in Parallel 129' 59 Diagram of Reverse Parallel Circuit 130 60 Diagram of Feeder System 131 61 Diagram of Motors on Three-Wire System 132 62 Diagram of Three-Wire Feeder System with Three-Wire Distributors 134 63 Diagram of High-Pressure Two-Wire Feeder System with Regulator 135 64 Diagram of High-Pressure Two-Wire Feeder System with Secondary Battery Regulator 136 65 Electric Construction Company's Dynamotor 138 66 Diagram of Feeder System with Dynamotors at Sub-Stations. 139 67 Diagram of Dynamotors in Series 141 68 Diagram of Rising Characteristic Curve of Compound Dynamo 142 69 Diagram of Connections of Two Compound- Wound Dynamos in Parallel 143 70 Diagram of Separately-Excited Dynamos in Parallel 144 71 Curve showing Relation between Volts and Amperes with Sayers' Regulator 146 72 Field-Magnet of Mordey Alternator . 151 73 Armature of Mordey Alternator 152 74 Sine Curve of Pressure or Current ... 154 75 Diagram of Typical Alternator Triangular Pressure Curve... 157 76 Diagram of Typical Alternator Flat-Top Triangular Pressure Curve 157 77 Diagram of Typical Alternator nearly Rectangular Pressure Curve 158 78 Diagram of Typical Alternator Triangular Pressure Curve... 158 79 Diagram of Typical Alternator Stepped Pressure Curve 160 80 Diagram showing Relation between Effective and Average Pressure Sine Curve 160- 81 Diagram showing Relation between Effective and Average Pressure Triangular Curve 161 82 Diagram showing Relation between Effective and Average Pressure Semi-Circular Curve 162. INDEX TO ILLUSTRATIONS. 401 FIG. PAGE 83 Diagram of Phases of Pressure 165 84 Diagram of Phases of Current 167 85 Clock Diagram 168 86 Work Diagram Current and Pressure in Phase 169 87 Work Diagram Current Lagging in Phase behind Pressure... 170 88 Volt-Ampere Curves of Alternator 177 88A Curves connecting Exciting and Armature Currents of Alternator 178 89 Diagram of Connections of Brown Single-Phase Asynchronous Motors 181 90 Hedgehog Transformer.. 190 91 W T estinghouse Transformer 191 92 Ferranti Transformer 191 93 Mordey Transformer 192 94 Kapp Transformer 192 95 Giilcher Transformer 193 96 Snell and Kapp Transformer 193 97 Eankin Kennedy Transformer 194 98 C. E. L. Brown Transformer 194 99 Thomson-Houston Transformer 195 100 Latest Form of Thomson-Houston Transformer 195 101 Efficiency Curves of Transformers 196 102 Pressure Curves of Westinghouse Transformer 198 102A Thomson-Houston Constant-Current Transformer 200 103 Curves of Ferranti Transformer 202 104 Typical Curves of Transformer 204 105 Curves of Pressure and Current in Alternator and Motor 214 106 Capacity Diagram 222 107 Self-induction Diagram 223 108 Capacity and Self-induction Diagram 224 109 Curves of Inductive E.M.F. in Line 226 110 Curves of Inductive Drop in Line 226 110A Curves of Inductive Drop in Line (part of Fig. 110 enlarged). 227 111 Mutual-induction E.M.F. in Line 229 112 Curve showing Change of Secondary Pressure in Transformer due to Capacity 230 113 Curve showing Change of Primary Pressure in Transformer due to Capacity 230 114 Curve showing Change of Transformation Ratio in Trans- former due to Capacity 231 115 Thomson-Houston Method of Compounding Alternator 232 116 Kapp' s Method of Regulating Drop of Pressure in Feeder ... 233 117 Diagram of Connections of Station Voltmeter for Reading Pressure at Far End of Feeder 234 118 Ganz's Method of Compensating for Drop of Pressure in Feeder 235 119 Prof. Elihu Thomson's Compensator System as applied to Power Circuit 236 120 Diagram of Transformer with Secondary Coils divided into Separate Circuits 237 121 Diagram of Synchroniser Connections 239 122 Impedance Coil as arranged for putting Alternators in Parallel 240 123 Impedance Coil 241 124 Lord Kelvin's Engine Room Wattmeter, General View 244 125 Lord Kelvin's Wattmeter Shunt Coils and Suspension Details 245 126 Major Cardew's Earthing Device for Transformers 248 127 Ferranti's Earthing Device 249 402 ELECTRIC MOTIVE POWER. FIG. PAGE. 128 Diagram of Four-Pole Two-Phase Motor ........................... 252. 129 Diagram of Two Periodic Currents with Common Ke turn ...... 254 130 Diagram of Excitation Variation with Two Currents in Quad- rature .................................................................. 255 131 Diagram of Three Periodic Currents with Phase Intervals of 120deg ................................................................ 256 132 Diagram of Three-Phase Parallel Coupling ........................ 257 133 Diagram of Three-Phase Dynamo Coupled to Motor .. 257 - Diagrams of Three-Phase Circuits ....................... ........ 258 136 Diagram of Phases of Current in Closed Three-Phase Circuit 259 137 Diagram of Three- Phase Series Coupling ....................... 260 138 Diagram of Phases of Current in Open-Type Three-Phase Circuit ................................................................. 261 139 Method of Measuring Power in Three-Phase Circuit with Mains Equally Loaded ............................................... 262 140 Method of Measuring Power in Three-Phase Circuit with Mains Unequally Loaded ............................. .............. 262 141 Diagram of Excitation Variation with Three-Phase Currents.. 264 145 Dobrowolski's Combined Series and Parallel Three-Phase Coupling ................................................................. 265 143 Diagram showing Ampere-Turns with Parallel Three-Phase Coupling ............................ ........... .. ........................ 266 144 Diagram showing Ampere-Turns with Series Three-Phase Coupling ................................................................ 266 145 Diagram of Effective and Maximum Pressures in Single-Phase Circuit .............................................. .................. 267 146 } Diagrams of Effective and Maximum Pressures in Two-Phase / 269 147 / Circuit with Three Wires ......................................... \270 148 Diagram of Effective and Maximum Pressures with Three- Phase Circuit ........................................................... 271 149 Diagram of Four-Wire Two-Phase Circuit with Two Single- Phase Transf ormers .......... ...................................... 273 150 Dobrowolski Three-Phase Transformer .............. ............. 274 151 General Diagram of Polyphase Transformer Connections ...... 275 1 ^9 1 1531 Dia S rams of Three-Phase Power Plants ......... .................... 276 Diagrams of Three-Phase Circuit Connections .................... 277 .jrr-. j- Diagrams showing Conversion of Two- to Three-Phase ........ 1 97Q 158 Diagram of Two- to Three-Phase Transformer ..................... 280 159 Diagram of Pressure Distribution with Phase Conversion ...... 280 160 Diagram of Combined Two- and Three-Phase Circuit ......... 281 161 Diagram of Synchronous Polyphase Alternator ................. 283 162 Oerlikon Low-Pressure Polyphase Alternator ..................... 284 163 Oerlikon High-Pressure Polyphase Alternator ..................... 285 164 Characteristic Curve of Three-Phase Oerlikon Alternator ...... 287 166 I ^ er likon Asynchronous Polyphase Motor ................... ..... j noo 167 Allgemeine Electricitats-Gesellschaft Asynchronous Polyphase Motor ..................................................................... 290 168 Johnson and Phillips Two-Phase Alternator ........................ 291 170 I Grooves for Windings of Polyphase Machine ............ ....... 292 171 Diagram showing Construction of Polyphase Motor ............ 292 17/M fSQ 173 > Curves of Torque of Polyphase Motors .............................. \2Q5 j INDEX TO ILLUSTRATIONS. 403 FIG. PAGE 174 Curves connecting Power Factor and Output of Polyphase Motors 296- 175 Diagram of Polyphase Continuous-Current Converter 297 176 Diagram of Rectified Alternate Current 298 177 Ferranti Rectifier 298 178 Steam Dynamo, Open Type Engine 305 179 Steam Dynamo, Closed Type Engine 306' 180 Armoured Concentric Cable 308 182J Wood Casings for Pit Work 311 183 Junction Box for Mines . 312 184 ) 184A \ Gas-Tight Starting Switch and Resistance for Mines 184s I 316 317 318 1 ft^l ^ 186 f Concentric Cables with Uninsulated Return . ... 320 187 Atkinson Safety Cable 321 188) (323 189 \ Nolet Safety Cable \ 323 190 J 1 324 191 Three-Throw Electric Main Pump 326- 192 Endless Rope Electric Hauling Engine 328 193 Main and Tail Rope Electric Hauling Engine 330 194 Electric Winding Engine 331 195 Electric Three-Throw Dip Pump 333 195A Electric Three-Throw Dip Pump on Trolley 334 196 Electric Centrifugal Dip Pump 335 196A Jeffrey Double Rotary Dip Pump 336 197 Mavor and Coulson Steel-clad Mining Motor 339 198 Goolden-Atkinson Safety Mining Motor 340 199 Davis and Stokes Safety Mining Motor 342 200 Goolden-Atkinson Electric Coal-Cutter, Elevation 349 200A Goolden-Atkinson Electric Coal-Cutter, Cross Section 349 201 Goolden-Atkinson Electric Cutter-Bar 350 20lA Goolden-Atkinson Electric Coal-Cutter, Method of Working... 350 202 Kurd's Electric Coal-Cutter 352 gQ^j Birtley Rotary Bar Electric Coal-Cutter 353 205 Section of Birtley Cutter-Bar 355 206 Jeffrey Electric Coal-Cutter, Method of Working 356 207 Jeffrey Electric Coal-Cut' er, Perspective View 357 208 Jeffrey Electric Coal-Cutter on Trolley 359 208A Rotary Bar Coal-Cutter of General Electric Co 384 209 Yorkshire Engine Company's Side-Wheel Compressed Air Coal-Cutter 365 210 Cutter-Wheel, Yorkshire Engine Company 366 211 Snell-Waterhouse Electric Coal-Cutter, Plan 368 212 Snell-Waterhouse Coal-Cutter, Longitudinal View 369 213 Snell-Waterhouse Coal-Cutter, End View 370 214 Wantling-Johnson Electric Coal-Cutter and Heading Machine 371 215 Plan of Cutter Wheels of Wantling-Johnson Coal-Cutter 371 216 Thomson-Houston Electric Coal-Cutter 372 217 Jeffrey Rotary Electric Rock and Coal Drill 375 218 Diagram of Electric Percussive Drill, with Two-Way Switch.. 377 219 Diagram of Electric Percussive Drill for Use on Two-Phase Circuit 378 220 Diagram of Marvin Electric Percussive Drill 378 221 Diagram of Van Depoele Electric Percussive Drill 379 CABLESi^WIRES FOE IptNC, WORKSHOP, TRAMWAY, AXD OTHER ELECTRIC LIGHT AND POWER CIRCUITS, &c. CONCENTRBG CABLES. SIGNAL CIRCUIT CABLES AND WIRES. BOTH LOW AND HIGH TENSION, To fire 15, 8, & 2 Shots. EXPLODER TWIN CABLES. Fuses, and all Accessories for Export. INSULATORS, IRONWORK, LINE STORES &TOOLS, FOB Aerial and Mining, Telephone, Telegraph, Electric Light and Power Circuits. ALSO TELEPHONES AND BATTERIES. THE TELEGRAPH MFG. COMPANY, LTD., HELSBY (near Warrington), and 11, QUEEN VICTORIA STREET, LONDON, E.G. LIST OF TABLES OF DATA AND TESTS. PAGE A Permissible Fall of Pressure in Armature Expressed as a Per- centage of the Total E.M.F 18 B Radial Depth of Core of Gramme Armature 19 C Comparative Magnetic Inductions in Wrought Iron, Cast Iron, and Air 29 D Magnetic Leakage Coefficients for various types of Field-Magnets 33 E Tabulated Form for Use in Designing Dynamos and Motors ... 56 F Specific Resistance, Specific Gravity, and Tensile Strength of various Conductors 80 G Specific Resistance of Dielectrics compared with that of Mica ... 85 H Usual Spans with Hard -drawn Copper Conductors 94 I Percentage Drop of Pressure in Two- Wire Mains for various Current Densities and Distances 128 J Ratio between Effective and Average Pressures in Alternators having Pressure Curves of various orders 163 K Proportions of Alternator Field-Poles and Armature Coils in terms of the Pitch, and Consequent Values of Tc 164 L Power Wasted by Hysteresis in Watts per cubic inch 173 M Speed of Alternators with various Numbers of Field-Poles for the usual Frequencies 174 N Permissible Induction in Alternators for the usual Frequencies... 175 P Q ]- Tests of Oerlikon Single-phase Asynchronous Motors 182 It S T Data of Oerlikon Asynchronous Single-phase Motors 184 U Efficiencies of various Transformers 189 V Increase of Resistance of Conductors in Alternate-Current Working 219 W Examples of Practical Measuring Instruments suitable for Power Stations 242 X Weights of Line Copper required with different Systems of Transmitting Power 268 Y Data of Oerlikon Three-phase Transformers 286 Z Data of Oerlikon Low-pressure Three-phase Alternators 286 A A Data of Oerlikon High-pressure Three-phase Alternators 286 B B Tests of Oerlikon Small Three-phase Motors 289 CO Data of American Three-phase Motors 289 D D Tests of American Electric Coal-Cutters {^2 t 363 E E Cost of Continuous- Current Power Plants in terms of per H.P. delivered by Motor ... 382 F F Cost of Line and of H.P. delivered, with Three-phase Circuits, for various Distances and Pressures 383 EE SIEMENS BROS. & CO., LIDMIITIEID., (Ekctncal & telegraph (Enptters. MANUFACTURERS OF DYNAMOS AND . . . . . . ALTERNATORS, MOTORS FOR ALL PURPOSES. CABLES and WIRES, ELECTRICAL and TELEGRAPH INSTRUMENTS. CONTRACTORS FOR TRANSMISSION* POWER PLANT. ELECTRIC TRAMWAYS and RAILWAYS, ELECTRIC LIGHTING. Head Office : 12, QUEEN ANNE'S GATE, LONDON, S.W. Branch Offices : 21, GRAINGER ST. WEST, NEWCASTLE ON-TYNE ; 261, WEST GEORGE STREET, GLASGOW; 5$, MARKET STREET, MELBOURNE. Works: WOOLWICH, KE1VT. LIST OF FORMULA NO. PACK (1) Approximate Output of Gramme-type Dynamo 16 (2) Approximate Output of Drum-type Dynamo 16 (3) Approximate Output of Gramme-type Motor 17 (4) Approximate Output of Drum-type Motor 17 (5) (6) Total E.M.F. of Armature 18 (7) Magnetic Flux in Armature 18 (8) Number of Turns of Wire on Armature 19 (8A) Eise of Temperature of Armature 20 (9) Permissible Circumflux of Gramme Armature 22 ^10) Permissible Circumflux of Drum Armature 22 (10A) Rise of Temperature of Field-Magnets 32 (11) Excitation for Air Gap 36 (12) Total Excitation for Dynamo or Motor 37 (13) Compensating Turns for Gramme Armature 38 (14) Compensating Turns for Drum Armature 38 (15) Torque in terms of Armature Constants in C.G.S. Units 43 (16) Torque in terms of Armature Constants in Pound-Feet Units 43 (17) Work per Revolution of Armature 44 (18) Torque in Pound-Feet 44 (19) Peripheral Pull exerted by Armature 44 (20) Equivalent or Average Current 73 (21) Lord Kelvin's Law of Economy 73 (2lA) Mr. E. Tremlett Carter's Modification of Law of Economy ... 73 (22) Figure of Merit of a Conducting Metal 81 <23) (24) (25) Fall of Pressure in Conductor 127 (26) (27) Effective value of total E.M.F. in Alternator 155 (28) Average total E.M.F. of Alternator : parallel connection 156 (29) Average total E.M.F. of Alternator : series connection 156 (30) Maximum total E.M.F. of Alternator : parallel connection ... 156 (31) Maximum total E.M.F. of Alternator : series connection 156 (32) Effective total E.M.F. of Alternator : parallel connection ... 156 (33) Effective total E.M.F. of Alternator : series connection 156 (34) Maximum E.M.F. of Alternator with Triangular Curve of Pressure 159 (35) Effective E.M.F. of Alternator with Triangular Curve of Pressure 163 (36) Relation between E.M.F.'s in Alternate-Current Circuit 165 <37) \Maximum E.M.F. of Self-induction in Alternate- Current (38) / Circuit 166 <39) Effective E.M.F. of Self-induction in Alternate- Current Circuit 166 (40) Relation between Currents in Alternate- Current Circuit 168 (41) Mean Power in Alternate- Current Circuit 171 (42) Drop of Pressure in Transformer 197 (43) Drop of Pressure in Transformer due to Magnetic Leakage... 198 (44) Number of Watts lost in Iron Cores 201 (45) Effective Primary Pressure in Transformer 206 (46) Number of Secondary Turns in Transformer 207 <48) Capacity of Conductor in Microfarads 222 (49) Condenser Current in Amperes 222 EE2 JOHN DAVIS & SON, All Saints Works, Derby, and 118, Newgate St., London. Electric Xigbt anfc power Engineers. ELECTRIC LIGHTING PLANTS FOR COLLIERIES, MILLS, WORKS, RESIDENCES, &c. Electric Haulage Plants. Electric Pumping Plants. JEFFREY COAL-CUTTING & DRILLING MACHINES. The Jeffrey Coal-Cutting Machines are constructed for Long- Wall or Pillar and Stall Work, and are operated by electricity or compressed-air power. Over 600 Jeffrey machines are in daily use, and the number is rapidly increasing. Estimates furnished and Mines examined to ascertain the suitability of Jeffrey machines. THE MOTOR Is employed in gassy mines for dip pumps, &c. Has withstood the test of time and all attempts to explode. FOWLER-WARING GABLES GO. (L-), 32, Victoria Street, Westminster, S.W. Works: North Woolwich, B. MANUFACTURED OF ELECTRIC CABLES FOR ALL PURPOSES. ARMOURED CABLES, specially adapted for MINING IN- STALLATIONS and damp situations. High Insulation, Durability & Mechanical Strength. WORKING IN ALL PARTS OF THE WORLD. For Transmission of Power, Lighting, Signalling, &c., &c. Estimates and further particulars on application. MANUFACTURERS OF LIGHTING STATIONS AND Transmission of Power. DYNAMOS AND MOTORS, CABLES author ventures to think that, in this case, the absence of mathematics is far from unjustifiable. 1, 2, and 3, Salisbury Court, Fleet Street, London, E.G. "The Electrician" Printing and Publishing Co., Ltd., 11 " THE ELECTRICIAN " SERIES continued. Over 300 pages, 106 illustrations. Price 10s. 6d., post free. The ART of ELECTROLYTIC SEPARATION of METALS. (THEOKETICAL AND PEACTICAL.) By GEORGE GORE, LLJX, F.R.S. THE ONLY BOOK ON THIS IMPORTANT SUBJECT IN ANY LANGUAGE. SYNOPSIS OF CONTENTS. HISTORICAL SKETCH. Discovery of Voltaic and Magneto-Electricity First Application of Electrolysis to the Refining of Copper List of Electrolytic Refineries. THEORETICAL DIVISION. Section A. : Chief Electrical Facts and Principles of the Subject. Electric Polarity and Induction, Quantity, Capacity, Potential Electromotive Force Electric Current Conduction and Insulation Electric Conduction Resistance. Section B. : Cliief Thermal Phenomena. Heat of Conduction Resistance Thermal Units, Symbols, and Formulae. Section C. : Chief Chemical Facts and Principles of the Subject. Explanation of Chemical Terms Symbols and Atomic Weights Chemical Formulae and Molecular Weights Relation of Heat to Chemical Action. Section D.: Chief Facts of Chemico- Electric or Voltaic Action. Electrical Theory of Chemistry Relation of Chemical Heat to Volta Motive Force Volta-Electric Relations of Metals in Electrolytes Voltaic Batteries Relative Amounts of Voltaic Current produced by Different Metals. Section 2. : Chief Facts of Electro-Chemical Action. Definition of Electrolysis Arrange- ments for Producing Electrolysis Modes of Preparing Solutions Nomenclature Physical Structure of Electro-Deposited Metals Incidental Phenomena attending Electrolysis Decom- posability of Electrolytes Electro- Chemical Equivalents of Substances Consumption of Electric Energy in Electrolysis. Section F. : The Generation of Electric Currents by Dynamo Machines. Definition of a Dynamo and of a Magnetic Field Electro-Magnetic Induction Lines of Magnetic Force. PRACTICAL DIVISION. Section G. : Establishing and Working an Electrolytic Copper Refinery. Planning a Refinery Kinds of Dynamos Employed Choice and Care of Dynamo The Depositing Room The Vats The Electrodes The Main Conductors Expenditure of Mechanical Power and Electric Energy Cost of Electrolytic Refining. Section H. : Other Applications of Electrolysis in Separating and Refining Metals. Elec- trolytic Refining of Copper by other Methods Extraction of Copper from Minerals and Mineral Waters Electrolytic Refining of Silver Bullion and of Lead Separation of Antimony, of Tin, of Aluminium, of Zinc, of Magnesium, of Sodium and Potassium, of Gold Electrolytic Refining of Nickel Electric Smelting. Appendix. Useful Tables and Data. Second Edition, price 2s., post free. ELECTRO-CHEMISTRY. By GEORGE GOEE, LL.D., F.E.S. This book contains, in systematic order, the chief principles and facts of electro-chemistry, and is intended to supply to the student of electro-plating and electro-metallurgy a scientific basis npon which to build the additional practical knowledge and experience of his trade. A scientific foundation, such as is here given, of the art of electro -metallurgy is indispensable to the electro- depositor who wishes to excel in his calling, and should be studied previously to and simul- taneously with practical working. As the study of electro-chemistry includes a knowledge not only of the conditions under which a given substance is electrolytically separated, but also of the electrolytic effect of a current on individual compounds, both are described, and the series' of substances are treated in systematic order. An indispensable book to Electro-Metallurgists. 1, 2, and 3, Salisbury Court, Fleet Street, London, E.G. 12 "The Electrician" Printing and Publishing Co., Ltd. "THE ELECTRICIAN" SERIES continued. Electrical Laboratory Notes & Forms. ARRANGED AND PREPARED BY I>r. J. A.. FJLESIMIIVO, M.A., FJR.S. Professor of Electrical Engineering in University College, London. These " Laboratory Notes and Forms " have been prepared to assist Teachers, Demonstrators and Students in Electrical Laboratories, and to enable the Teacher to economise time. They consist of a series of (about) Twenty Elementary and (about) Twenty Advanced Exercises in Practical Electrical Measurements and Testing. For each of these Exercises a four-page Report Sheet has been prepared, two pages of which are occupied with a condensed account of the theory and practical instructions for performing the particular Experiment, the other two pages being ruled up in lettered columns, to be filled in by the Student with the observed and calculated quantities. Where simple diagrams will assist the Student, these have been supplied. These Exercises are for the most part based on the methods in use in the Electrical Engineering Laboratories of University College, London ; but they are perfectly general, and can be put into practice in any Electrical Laboratory. Each Form is supplied either singly at 4d. nett, or at 3s. 6d. per dozen nett (assorted or otherwise as required) ; in sets of any three at Is. nett ; or the set of (about) Twenty Elementary (or Advanced) Exercises can be obtained, price 5s. 6d. nett. The complete set of Elementary and Advanced Exercises are price 10s. 6d. nett, or in a handy Portfolio, 12s. nett, or bound in strong cloth case, price 12s. 6d. nett. Spare Tabulated Sheets for Observations, price Id. each nett. Strong Portfolios, price Is. each. The very best quality foolscap sectional paper (16in. by 13in.) can be supplied, price Is. per dozen sheets nett. ^Yoit' ready.) 1. The Exploration of Magnetic Fields. 2. The Magnetic Field of a Circular Current. 3. The Standardization of a Tangent Galvanometer by the Water Voltameter. 4. The Measurement of Electrical Resistance by the Divided Wire Bridge. 5. The Calibration of the Ballistic Galvanometer. 6. The Determination of Magnetic Field Strength. 7. Experiments with Standard Magnetic Fields. . The Determination of the Interpolar Field of an Electromagnet with Varying Lengths of Air Gap. 9. The Determination of Resistance and Temperature Coefficients with the Post Office Pattern of Wheatstpne's 10. The Determiuation of Electromotive Force by the Potentiometer. [Bridge. 11. The Determination of Current Strength by the Potentiometer. 12. A Complete Test of a Primary Battery. 13. The Calibration of a Voltmeter by the Potentiometer. 14. A Photometric Examination of an Incandescent Lamp. 15. The Determination of the Absorptive Powers of Semi-Transparent Screens. 18. The Determination of the Reflective Powers of Various Surfaces. 17. The Determination of the Electrical Efficiency of an Electromotor by the Cradle Method. 18. The Determination of the Efficiency of an Electromotor by the Brake Method. 19. The Efficiency Test of a Combined Motor Generator Plant. 20. Test of a Gas Engine and Dynamo Plant. ADYACTGIED SERIES.- (Ready shortly.) 21. The Determination of the Specific Electrical Resistance of a Sample of Wire. 22. The Measurement of Low Resistances by the Potentiometer. 23. The Measurement of Armature Resistances. 24. The Standardization of an Ampere-meter by Copper Deposit. 25. The Standardization of a Voltmeter by the Potentiometer. 26. The Standardization of an Ammeter by the Potentiometer. 27. The Determination of the Magnetic Permeability of a Sample of Iron. 28. The Standardization of a High Tension Voltmeter. 29. The Efficiency Test of a Transformer. 30. The Delineation of the Curves of Current and Electromotive Force of a Transformer SI. The Photometric Examination of an Arc Lamp. 32. The Measurement of Insulation and High Resistance. 33. The Examination of a Secondary Cell by the Potentiometer. 34. The Efficiency Test of an Alternator. 35. The Complete Efficiency Test of a Secondary Battery. 36. The Calibration of Electric Meters. 57. The Determination of the Hysteresis Curve of Iron by the Magnetometer. 38. The Determination of Hysteresis Loss by the Wattmeter. 39. The Determination of the Capacity of a Concentric Cable. 40. The Complete Hopkinson Test of a Pair of Dynamos. 1, 2, and 3, Salisbury Court, Fleet Street, London, E.G. "The Electrician" Printing and Publishing Co., Ltd., IB "THE ELECTRICIAN" SERIES continued. 320 pages, 155 illustrations. Price 6s. 6d., post free. PRACTICAL NOTES FOR ELECTRICAL STUDENTS. LAWS, UNITS, AND SIMPLE MEASURING INSTRUMENTS. By A. E. KENNELLY and H. D. WILKINSON, M.I.E.E. SYNOPSIS OF CONTENTS. CHAPTER I. Introductory. Early Ideas Electricity produced by Chemical Energy Kequirements in a good Cell Chemical Action. CHAPTER H. Batteries. Daniell, Minotto, Thompson Tray, Leclanche, Fuller, De la Kue and Standard Cells. CHAPTER III. Electromotive Force and Potential Connecting Cells in Series Distribution of Potential in a Battery. CHAPTER IV. Resistance. Eelative Kesistance of Metals Relation between Length, Diameter, and Weight of Telegraph Conductors Eesistances in Series and in Multiple Arc. CHAPTER V. Current. Effect of "Opening " or " Closing" a Circuit Velocity of Current Retardation Period of Constant Flow The Ampere The Coulomb The Milliampere Ohm's Law. CHAPTER VI. Current Indicators. Detectors or Indicators Directions for Making Detectors for Telegraph and for Telephone Work Indicators for Large Current. CHAPTER VII. Simple Tests with Indicators. Tests for " Continuity," for Fault in Telegraph Apparatus, for Identity of Wires, for Insu- lationOverhead Line Insulators G.P.O. Standard Indicator. CHAPTER VIII. Calibration of Current Indicators. Calibration by Low-Resistance Cells Calibration Curves Simultaneous Calibration of Instruments of Similar Sensitiveness and of Differing Sensitiveness Use of the "Shunt" Comparison by Tangent Galvanometer. CHAPTER IX. Magnetic Fields and their Measurements. Permanent Magnetic Fields Electro-Magnetic Fields Magnetic Fields of Coils and Solenoids. TABLE OF NATURAL TANGENTS. 190 pages, 116 illustrations. Price 3s. 6d., post free. THE STEAM-ENGINE INDICATOR & INDICATOR DIAGRAMS. A PRACTICAL TREATISE ON. Edited by W. W. BEAUMONT, M.I.C.E., M.I.M.E., &c. This useful book considers the object of an Indicator Diagram, or what it is desired that the Diagram shall show ; describes the construction for the Indicator in its various forms ; describes the apparatus necessary for the attachment of the Indicator to the engine, and how to use the instrument ; gives examples of diagrams from all kinds of engines most in use, comparing these diagrams and showing how far they agree with theoretical diagrams ; and shows the most simple methods of calculating and constructing theoretical curves of expansion, and of comparing the actual with the theoretical performance of steam in the steam engine cylinder. Fully illustrated. Price Is. 6d., post free Is. 9d. THE MANUFACTURE OF ELECTRIC LIGHT CARBONS. A Practical Guide to the Establishment of a Carbon Manufactory. Contains the results of several years' experiments and experience in carbon candle-making, and gives full particulars, with many illustrations, of the whole process. 1, 2, and 3, Salisbury Court, Fleet Street, London, E.C. 14 "The Electrician" Printing and Publishing Co., Ltd., "THE ELECTRICIAN" SERIES continued. Over 400 pages, nearly 250 illustrations. Price 10s. 6d. ELECTRIC MOTIVE POWER. By ALBION T. SNELL, Assoc.M.lNST.C.E., M.I.E.E. The rapid spread of electrical work in collieries, mines, and elsewhere has created a demand for a practical fcook on the subject of transmission of power. Though much had been written, there was no single work dealing with the question in a sufficiently comprehensive and yet practical manner to be of real use to the mechanical or mining engineer ; either the treatment was adapted for specialists, or it was fragmentary, and power work was regarded as subservient to the question of lighting. The Author has felt the want of such a book in dealing with his clients and others, and in "ELECTRIC MOTIVE POWER " has endeavoured to supply it. In the introduction the limiting conditions and essentials of a power plant are analysed, and in the subsequent chapters the power plant is treated* synthetically. The dynamo, motor, line, and details are discussed both as to function and design. The various systems of transmitting and distributing power by con- tinuous and alternate currents are fully enlarged upon, and much practical information, gathered from actual experience is distributed under the various divisions. The last two chapters deal exhaustively with the applications of electricity to mining work in Great Britain, the Continent, and America, particularly with reference to collieries and coal-getting, and the results of the extensive experience gained in this field are -embodied. In general, the Author's aim has been to give a sound digest of the theory and practice of the electrical transmission of power, which will be of real use to the practical engineer, and to avoid controversial points which lie in the province of the specialist, and elementary proofs which properly belong to text-books on electricity and magnetism. A LARGE=SHEET TABLE, 1 -Giving full particulars of the Electricity Supply Stations throughout Great Britain up to January, 1895, can be obtained mounted on stout board, with cord for hanging. Price : Varnished, 3s. 6d. ; Unvarnished, 3s. each post free. A Map, showing positions of Supply Stations, is mounted on the back of the Table. A Coloured Map, showing the Streets of London in which Mains for Private Lighting are laid up to January, 1895, together with the areas allotted to the different Supply Companies, is also mounted on some copies of the above Table ; and the price of these, complete, post free, is 5s. NEW VOLUMES IN PREPARATION. SUBMARINE CABLE-LAYING AND REPAIRING. By H. D. WILKINSON, M.I.E.E., &c., &c. This work will describe the procedure on board ship when removing a fault or break in a submerged cable and the mechanical gear used in different vessels for this purpose ; and considers the best and most recent practice as regards the electrical tests in use for the detection and localisation of faults, and the various difficulties that occur to the beginner. MOTIVE POWER AND GEARING FOR EJL.ECTRICAT, IVI ACMHSTER Y. BY E. TEEMLETT CARTER, C.K {COPIOUSLY ILLUSTRATED WITH SCALE DRAWINGS & NUMEROUS PLATES.) The purpose of this work is the explanation of the principles and practice of modern mechanical motive power and gearing, especially in their application to electrical machinery. Electrical engineering is as much a matter of engines and gearing as of dynamos and cables ; but the conditions of electric light and power distribu- tion are such that a special study of the mechanical plant is necessary. Just as marine or locomotive steam practice is treated in a special manner in works on the subject ; so the Author has endeavoured to hold in view the special requirements of electrical practice, and to produce a work on steam and other motive power which shall be solely devoted to these requirements. "MOTIVE POWER AND GEARING" is adapted equally to the needs of the practical engineer and of the student, and the treatment is such as may be easily understood without special mathematical training. Besides steam plant, as used in electric power stations, the work treats of gas, oil, and water-power engines, and the chapters on these, as well as the section on Gearing, are written on the lines of the latest practice in electric power stations. The best points in the development of motive power for electrical engineering on the Continent and in the United States have also been considered, and are fully treated, and compared with English practice. This work constitutes the only existing treatise on the Economics of Motive Power and Gearing for Electrical Jtachinery. 1, 2, and 3, Salisbury Court, Fleet Street, London, E.G. "The Electrician" Printing and Publishing Co., Ltd., 15 "THE ELECTRICIAN" SERIES continued. * * NOW READY. Price 1. 5s., in Sepia or Black; in very Massive Frame, 2. 2s. A Handsome Plate Reproduction of ROBERT DUDLEY'S famous Painting of THE "GREAT EASTERN," (By permission of the Executors of the late Sir JAMES ANDERSON.) The first of a series of Fine Art Plates which it is proposed to issue from time to time, and executed in the lest style, and by the.latest and best process of faithful reproduction. The Plate has a high historic value ; it ortrays the great ship at the critical moment when, in endeavouring to pick up the 1865 Atlantic Cable, " the icking-up tackle having given out," her Captain gives orders for her return to England. 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CROMPTON (President for 1895 of the Institution of Electrical Engineers), HAVE BEEN ISSUED AS SUPPLEMENTS TO Jjje PEACTICAL TREATISE ON THE STEAM-ENGINE. By Arthur Rigg. 1. 5s, THERMODYNAMICS OF THE STEAM ENGINE AND OTHER HEAT ENGINES. By Prof. C. H. Peabody. 21s. AN ELEMENTARY TREATISE ON STEAM. By Prof. John Perry. 4s. 6igh, Prof. Rowland, Prof. Hueker, Air. Wairen de la Rue, Sir J)avid Salomons Dr. Paul Schoop, ' Mr. Louis Schwendler, Mr. G. F. C. Searle, Mr. J. . Sellon, Mr. Alex. Siemens, Dr. Werner Siemens, Mr. M. Holroyd Smith. Mr. Willoughby Smith, Mr. Albion T. Snel?, Mr. W. H. Snell, Dr. W. Spottiswoode, Mr. J. T. Sprague, Prof. Balfour Stewart, Dr. W. E. Sumpner, Mr. James Swinburne, Mr. Nikola Tesla, Prof. Silvanus Thompson, Mr. Elihu Thomson, Prof. J. J. Thomson, Sir Wm. Thomson (Lord Kelvin), Mr. H. Tomlinson, Mr. A. P. Trotter, Mr. G.W. de Tunzelmann, Prof. John Tyndall, Mr. F. C. Webb, Mr. F. M. Weymouth, Mr. H. D. Wilkinson, Dr. Zetzsche, &c., &c., &c. 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