id sid tid token lemma pos 76537081527 1 1 this this DET 76537081527 1 2 dissertation dissertation NOUN 76537081527 1 3 introduces introduce VERB 76537081527 1 4 a a DET 76537081527 1 5 modeling modeling NOUN 76537081527 1 6 framework framework NOUN 76537081527 1 7 , , PUNCT 76537081527 1 8 suitable suitable ADJ 76537081527 1 9 for for ADP 76537081527 1 10 analysis analysis NOUN 76537081527 1 11 , , PUNCT 76537081527 1 12 for for ADP 76537081527 1 13 systems system NOUN 76537081527 1 14 that that PRON 76537081527 1 15 can can AUX 76537081527 1 16 be be AUX 76537081527 1 17 characterized characterize VERB 76537081527 1 18 either either ADV 76537081527 1 19 directly directly ADV 76537081527 1 20 by by ADP 76537081527 1 21 the the DET 76537081527 1 22 first first ADJ 76537081527 1 23 and and CCONJ 76537081527 1 24 second second ADJ 76537081527 1 25 laws law NOUN 76537081527 1 26 of of ADP 76537081527 1 27 thermodynamics thermodynamic NOUN 76537081527 1 28 or or CCONJ 76537081527 1 29 indirectly indirectly ADV 76537081527 1 30 by by ADP 76537081527 1 31 relating relate VERB 76537081527 1 32 the the DET 76537081527 1 33 fundamental fundamental ADJ 76537081527 1 34 equations equation NOUN 76537081527 1 35 characterizing characterize VERB 76537081527 1 36 a a DET 76537081527 1 37 system system NOUN 76537081527 1 38 or or CCONJ 76537081527 1 39 process process VERB 76537081527 1 40 to to ADP 76537081527 1 41 the the DET 76537081527 1 42 first first ADJ 76537081527 1 43 and and CCONJ 76537081527 1 44 second second ADJ 76537081527 1 45 laws law NOUN 76537081527 1 46 of of ADP 76537081527 1 47 thermodynamics thermodynamic NOUN 76537081527 1 48 . . PUNCT 76537081527 2 1 models model NOUN 76537081527 2 2 built build VERB 76537081527 2 3 in in ADP 76537081527 2 4 this this DET 76537081527 2 5 framework framework NOUN 76537081527 2 6 coupled couple VERB 76537081527 2 7 with with ADP 76537081527 2 8 a a DET 76537081527 2 9 financial financial ADJ 76537081527 2 10 objective objective ADJ 76537081527 2 11 function function NOUN 76537081527 2 12 produces produce VERB 76537081527 2 13 a a DET 76537081527 2 14 bilinear bilinear ADJ 76537081527 2 15 optimization optimization NOUN 76537081527 2 16 problem problem NOUN 76537081527 2 17 . . PUNCT 76537081527 3 1 we we PRON 76537081527 3 2 compute compute VERB 76537081527 3 3 the the DET 76537081527 3 4 optimal optimal ADJ 76537081527 3 5 solution solution NOUN 76537081527 3 6 by by ADP 76537081527 3 7 variable variable ADJ 76537081527 3 8 substitution substitution NOUN 76537081527 3 9 into into ADP 76537081527 3 10 this this DET 76537081527 3 11 bilinear bilinear ADJ 76537081527 3 12 problem problem NOUN 76537081527 3 13 , , PUNCT 76537081527 3 14 linearizing linearize VERB 76537081527 3 15 and and CCONJ 76537081527 3 16 relaxing relax VERB 76537081527 3 17 the the DET 76537081527 3 18 resulting result VERB 76537081527 3 19 bilinear bilinear ADJ 76537081527 3 20 constraint constraint NOUN 76537081527 3 21 , , PUNCT 76537081527 3 22 and and CCONJ 76537081527 3 23 applying apply VERB 76537081527 3 24 a a DET 76537081527 3 25 branch branch NOUN 76537081527 3 26 and and CCONJ 76537081527 3 27 bound bound ADJ 76537081527 3 28 methodology methodology NOUN 76537081527 3 29 . . PUNCT 76537081527 4 1 we we PRON 76537081527 4 2 illustrate illustrate VERB 76537081527 4 3 the the DET 76537081527 4 4 solution solution NOUN 76537081527 4 5 technique technique NOUN 76537081527 4 6 of of ADP 76537081527 4 7 the the DET 76537081527 4 8 bilinear bilinear ADJ 76537081527 4 9 optimization optimization NOUN 76537081527 4 10 problem problem NOUN 76537081527 4 11 applied apply VERB 76537081527 4 12 to to ADP 76537081527 4 13 several several ADJ 76537081527 4 14 energy energy NOUN 76537081527 4 15 systems system NOUN 76537081527 4 16 . . PUNCT 76537081527 5 1 using use VERB 76537081527 5 2 reported report VERB 76537081527 5 3 data datum NOUN 76537081527 5 4 characterizing characterize VERB 76537081527 5 5 several several ADJ 76537081527 5 6 california california PROPN 76537081527 5 7 power power NOUN 76537081527 5 8 plants plant NOUN 76537081527 5 9 , , PUNCT 76537081527 5 10 we we PRON 76537081527 5 11 demonstrate demonstrate VERB 76537081527 5 12 how how SCONJ 76537081527 5 13 to to PART 76537081527 5 14 determine determine VERB 76537081527 5 15 an an DET 76537081527 5 16 appropriate appropriate ADJ 76537081527 5 17 model model NOUN 76537081527 5 18 utilizing utilize VERB 76537081527 5 19 the the DET 76537081527 5 20 introduced introduce VERB 76537081527 5 21 modeling modeling NOUN 76537081527 5 22 framework framework NOUN 76537081527 5 23 and and CCONJ 76537081527 5 24 fit fit VERB 76537081527 5 25 the the DET 76537081527 5 26 parameters parameter NOUN 76537081527 5 27 required require VERB 76537081527 5 28 in in ADP 76537081527 5 29 the the DET 76537081527 5 30 framework framework NOUN 76537081527 5 31 to to ADP 76537081527 5 32 the the DET 76537081527 5 33 model model NOUN 76537081527 5 34 . . PUNCT 76537081527 6 1 we we PRON 76537081527 6 2 consider consider VERB 76537081527 6 3 problems problem NOUN 76537081527 6 4 with with ADP 76537081527 6 5 various various ADJ 76537081527 6 6 sources source NOUN 76537081527 6 7 of of ADP 76537081527 6 8 flexibility flexibility NOUN 76537081527 6 9 and and CCONJ 76537081527 6 10 uncertainty uncertainty NOUN 76537081527 6 11 and and CCONJ 76537081527 6 12 apply apply VERB 76537081527 6 13 our our PRON 76537081527 6 14 framework framework NOUN 76537081527 6 15 and and CCONJ 76537081527 6 16 methodology methodology NOUN 76537081527 6 17 . . PUNCT 76537081527 7 1 using use VERB 76537081527 7 2 standard standard ADJ 76537081527 7 3 programming programming NOUN 76537081527 7 4 techniques technique NOUN 76537081527 7 5 , , PUNCT 76537081527 7 6 we we PRON 76537081527 7 7 characterize characterize VERB 76537081527 7 8 common common ADJ 76537081527 7 9 financial financial ADJ 76537081527 7 10 measures measure NOUN 76537081527 7 11 and and CCONJ 76537081527 7 12 strategies strategy NOUN 76537081527 7 13 , , PUNCT 76537081527 7 14 such such ADJ 76537081527 7 15 as as ADP 76537081527 7 16 optimal optimal ADJ 76537081527 7 17 hedging hedging NOUN 76537081527 7 18 and and CCONJ 76537081527 7 19 risk risk NOUN 76537081527 7 20 management management NOUN 76537081527 7 21 and and CCONJ 76537081527 7 22 valuation valuation NOUN 76537081527 7 23 of of ADP 76537081527 7 24 flexibility flexibility NOUN 76537081527 7 25 . . PUNCT