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A 300MVA, 20KV three-phase generator has a sub-transient reactance of 20%. The generator supplies two parallel...

A 300MVA, 20KV three-phase generator has a sub-transient reactance of 20%. The generator supplies two parallel synchronous motors (M1 and M2) over a 100km transmission line. The line has two transformers T1 and T2 at the beginning and at the end of the line respectively. Both motors are rated at 13.0KV with X"=20%. Motor M1 has a rated input of 100MVA and M2 has a rated input of 50MVA. The transformer T1 is rated 350MVA, 20/230KV and T2 is rated 100MVA, 220/13.2KV. Both transformers have a leakage reactance of 10%. The series reactance of the transmission line is 0.1ohms/Km.

a)Draw the reactance diagram of the circuit with all reactances marked in per unit. Select the generator rating as base.

b) If the motors M1, and M2 from above have inputs of 100MW and 80MW respectively at 13.0KV, and both operate at unity power factor. Find the voltage at the terminal of the generator.

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