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PLEASE SOLVE THIS POWER / LOAD FLOW

07-Elec-B December 2016 Page 7 of 7 Problem 7 Consider the system shown in the single-line diagram of Figure (5). Here, a 60-Hz synchronous generator having a transient reactance of 0.15 pu. is connected to an infinite bus through a transformer whose reactance is 0.1 p. u. and a double circuit transmission line with circuits having a reactance of 0.6 p.u each as indicated in the figurc. The generator delivers a real power of 0.9 pu. to bus 1. The magnitudc of the voltage at bus 1 is 1.05 pu. The infinite bus voltage is 1.0 pu with an angle zero a- Determine the excitation voltage of the generator under these conditions. [10 points] b- A three phase fault occurs at the middle of one transmission circuit as shown. Assume that the generator excitation voltage remains constant at E,= 1.14 pu. Let the parameter (a) be 0.25 (ie, the fault is close to bus1. ll the system remain stable under sustained fault conditions? [10 points] j0. Line 1 j0.15 j 0.1 . Line 2 j0.6 a j0.6 (1-a) Figure (5) Circuit for Problem 7

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