12-5. A 500 kVA, 480 V, 60 Hz, Y-connected synchronous generator has a subtransient reactance X″ of 0.10 pu, a transient reactance X′ of 0.22 pu, and a synchronous reactance Xs of 1.0 pu. Suppose that this machine is supplying rated load at rated voltage and 0.9 PF lagging.
(a) What is the magnitude of the internal generated voltage EA of this machine?
(b) A fault occurs at the terminals of the generator. What is the magnitude of the voltage behind subtransient reactance E″A of this machine?
(c) What is the subtransient current I″f flowing from this generator?
(d) What is the magnitude of the voltage behind transient reactance E′A of this machine?
(e) What is the transient current I′f flowing from this generator during the transient period?
(f) Suppose that we ignore the loads on the generator and assume that it was unloaded before the fault occurred. What is the subtransient current I″f flowing from this generator? How much error is caused by ignoring the initial loading of the generator?
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