GATE EE 2026 Set 1 — Question 20
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Electrical Machines → Synchronous Machines
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Question
A certain application requires power at a frequency of , while the available grid frequency is . A 3-phase synchronous motor connected to the , 3-phase grid, driving a synchronous generator, is used for this application.Which one of the following combinations is a suitable choice for the number of poles in the motor and generator, respectively?
Correct answer
(B) 6, 2
Solution
The synchronous motor and synchronous generator are coupled on the same shaft, meaning they must rotate at the same speed . The synchronous speed is given by . For the motor and generator to have the same speed:Given and :Checking the options, only (B) provides a ratio of 3 ().
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