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
With negligible armature resistance, . Take and power-factor angle ().Lagging load (statement Q): , so andHence for every lagging load: Q is true.Leading load (statement P): , so andThus only when . For a leading load with a large current, or with power factor close to unity (small ), and then . So is not always more than : P is false.Therefore P is false and Q is true.Answer: (A)
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