GATE EE 2020 Set 1 — Question 17
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Electrical Machines → Synchronous Machines → Synchronous Reactance & Regulation
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Question
A three-phase cylindrical rotor synchronous generator has a synchronous reactance and a negligible armature resistance. The magnitude of per phase terminal voltage is and the magnitude of per phase induced emf is . Considering the following two statements, P and Q,P: For any three-phase balanced leading load connected across the terminals of this synchronous generator, is always more than Q: For any three-phase balanced lagging load connected across the terminals of this synchronous generator, is always less than which of the following options is correct?
Correct answer
(A) P is false and Q is true.
Solution
For a synchronous generator, the induced emf and terminal voltage are related by .
1.Lagging Load: The current lags by an angle . The magnitude of induced emf is . Since and , is always greater than . Thus, always holds. Statement Q is true.
2.Leading Load: The current leads by an angle . The magnitude of induced emf is . Here, only if . This condition is not satisfied for any leading load (e.g., very small leading currents). Thus, statement P is false.
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