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Question

A 6-pole, 50 Hz, three-phase induction motor has rotor resistance and stand still reactance of 0.32 Ω/phase and 3.2 Ω/phase respectively. If starting torque of the motor is 40 N-m, then rotor voltage per phase at standstill is _____V.(Answer upto 2 decimal places)
  1. 212.43

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Solution

The correct option is A 212.43
Synchronous speed,

ωs=2P×2πf=4×π×506=104.72 rad/sec

Starting torque,
Tst=3ωs.E22r2(r2)2+(x2)2

40=3104.72×E22×0.32(0.32)2+(3.2)2

Rotor voltage at standstill,

E2=212.43 V

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