As shown below, reactances of the two sections of transmission line are shown on the diagram. The generators and transformers are rated as follows:
Generator 1: 20 MVA, 18 kV, X"d = 20%
Generator 2: 20 MVA, 18 kV, X"d = 20%
Synchronous motor 3: 30 MVA, 13.8 kV, X"d = 20%
Three-phase Y-Y transformers: 20 MVA, 138Y/20Y kV, X = 10%
Three-phase Y-Δ transformers: 15 MVA, 138Y/13.8Δ kV, X = 10%
Suppose that the system is unloaded and that the voltage throughout the system is 1.0 per unit (choose a base of 50MVA, 13.8 kV in the 40 Ohm line). If a three-phase short circuit occurs from bus C to ground, find the phasor value of the short-circuit current (in kilo amperes) if each generator is represented by its subtransient reactance.