Question

Course ID: 103891. ELEC ENG 706, June 2017 Page 16 of 21 Question 5. [ 20 marks ] 5a) Power Systems analysis [ 7 marks The single-line diagram below represents a generator driving a load over a long transmission line with a synchronous compensator connected to the receiving end. The transmission line can be modelled as shown with an inductive reactance X - 0,4 pu and two capacitive reactances Xc-3 pu on a base of 1000 MVA. Under a particular and angles are as shown. operating condition the bus voltage magnitudes ng transmission line mission line can be reactances Xc= -3 oltage magnitudes 1.03 7.1°pu 0.980°pu Ps, Qs jX P, Q Qc1t Qcz1 iX i) Calculate the reactive power (in MVAr) absorbed by the transmission line inductive reactance, X. [6 marks inductive 0AR* a049S ii Under a different condition, Ocz is 0.21pu and O, is 0.08pu. Calculate the reactive power supplied by the synchronous compensator (Osc) in pu, if the load requires reactive power of 0.2pu. [I mark ]

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Answer 1

てっくー(2ee TQsi TIreTes 786a コメ] Eol XA Howing thugh Cusrent 103L7-1-0.98 L0 エメレー T O335 -18.30 Reactive pruses ax= 11XL 2 D.335 D.y Bx ニ D-Q4489 PU base MVA x 0-o4489 (MVAY) BxL 44.89 MYAY Recewing (li) art end OSoiRes demard (Fereading Sc

2 sc Da 2 0.21 0-0 8 0.09 Synchorns Compen Sactor absobing the Reactive Pewer