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.Phase voltage of the grid: V.
2.Total line current for MVAR: A.
3.The two machines share the current equally: A.
4.A synchronous condenser supplying lagging VARs is overexcited and its current leads by , so is in phase with and :
V.V.
5.With a linear magnetic circuit, , so
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