GATE EE 2017 Set 1 — Question 46
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Electrical Machines → Synchronous Machines → Parallel Operation
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Question
Two parallel connected, three-phase, 50Hz, 11 kV, star-connected synchronous machines A and B, are operating as synchronous condensers. They together supply 50 MVAR to a 11 kV grid. Current supplied by both the machines are equal. Synchronous reactances of machine A and machine B are and , respectively. Assuming the magnetic circuit to be linear, the ratio of excitation current of machine A to that of machine B is ________. (Give the answer up to two decimal places.)
Correct answer
0.7 to 0.79
Solution
1.Calculate phase voltage: V.
2.Calculate total line current: A.
3.Since currents are equal, A.
4.Calculate induced EMFs for synchronous condensers (overexcited):
V.V.
5.Since the magnetic circuit is linear, .
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