A 100-MVA, 20-kV, 60-Hz three-phase synchronous generator is connected to a 100-MVA, 20/400 kV three-phase transformer. The machine has the following per unit reactances and time constants. X = 0.15pu X = 0.25 pu T, = 0.035 sec T, = 0.5 sec X, =1.25pu T, = 0.3sec The transformer reactance is 0.25 per unit. The generator is operating at the rated voltage and no- load when a three-phase short circuit occurs at the secondary terminals of the transformer. (a) Find the subtransient, transient, and the steady state short circuit currents in per unit and actual amperes on both sides of the transformer. (b) What is the maximum asymmetrical rms current (ac plus de) at the beginning of the short circuit?

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A 100-MVA, 20-kV, 60-Hz three-phase synchronous generator is connected to a 100-MVA,
20/400 kV three-phase transformer. The machine has the following per unit reactances and time
constants.
X; =0.15pu
X, = 0.25 pu
T, = 0.035 sec
T, = 0.5 sec
X, =1.25pu
T, = 0.3 sec
The transformer reactance is 0.25 per unit. The generator is operating at the rated voltage and no-
load when a three-phase short circuit occurs at the secondary terminals of the transformer.
(a) Find the subtransient, transient, and the steady state short circuit currents in per unit and
actual amperes on both sides of the transformer.
(b) What is the maximum asymmetrical rms current (ac plus de) at the beginning of the short
circuit?
Transcribed Image Text:A 100-MVA, 20-kV, 60-Hz three-phase synchronous generator is connected to a 100-MVA, 20/400 kV three-phase transformer. The machine has the following per unit reactances and time constants. X; =0.15pu X, = 0.25 pu T, = 0.035 sec T, = 0.5 sec X, =1.25pu T, = 0.3 sec The transformer reactance is 0.25 per unit. The generator is operating at the rated voltage and no- load when a three-phase short circuit occurs at the secondary terminals of the transformer. (a) Find the subtransient, transient, and the steady state short circuit currents in per unit and actual amperes on both sides of the transformer. (b) What is the maximum asymmetrical rms current (ac plus de) at the beginning of the short circuit?
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