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A synchronous generator is operating with a Ef=1.40pu. This machine having Xs of 1.2pu, is delivering a synchronous power of 0.5pu to the bus. If the prime-mover torque is increased by 1%, by how much will the synchronous power P change?

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A synchronous generator is operating  with a Ef=1.40pu. This machine having  Xs of 1.2pu, is delivering a synchronous power of 0.5pu to the bus. If the prime-mover torque is increased by 1%, by how much will the synchronous power P change?

(a) 1%

(b) 10%

(c) -1%

(d) 4%

The question was posed to me in an online interview.

Question is from Power Angle Characteristics of Synchronous Machines topic in division Synchronous Machines of Electrical Machines

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The correct choice is (a) 1%

Explanation: dP/dδ = EVcosδ/X

            So the change in P will also be 1%.

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