4-29. A 100-MVA, 14.4-kV 0.8-PF-lagging, Y-connected synchronous generator has a negligible armature resistance and a synchronous reactance of 1.0 per-unit. The generator is connected in parallel with a 60-Hz, 14.4-kV infinite bus that is capable of supplying or consuming any amount of real or reactive power with no change in frequency or terminal voltage.
(a) What is the synchronous reactance of the generator in ohms?
(b) What is the internal generated voltage EA of this generator under rated conditions?
(c) What is the armature current IA in this machine at rated conditions?
(d) Suppose that the generator is initially operating at rated conditions. If the internal generated voltage EA is decreased by 5 percent, what will the new armature current IA be?
(e) Repeat part (d) for 10, 15, 20, and 25 percent reductions in EA.
(f) Plot the magnitude of the armature current IA as a function of EA. (You may wish to use MATLAB to create this plot.)
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