Question

3- The bus impedance matrix of a four-bus network with values in per unit is
Z??? =

[?0.15 ?0.08 ?0.04 ?0.07

?0.08 ?0.15 ?0.06 ?0.09

?0.04 ?0.06 ?0.13 ?0.05

?0.07 ?0.09 ?0.05 ?0.12 ]

Generators connected to busses 1 and 2 have their sub-transient reactances included in Zbus. Neglect pre-fault currents and find sub-transient current in pu in the fault for a three-phase fault on bus 4. Assume the voltage at fault is 1∠0 before the fault occurs. Also, find the per unit current from generator 2 whose sub-transient reactance is 0.2 pu.

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