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GATE 2017 EE (EE2) – Question 24

Electrical Machines · Three-phase induction machines: principle of operation, types, performance, torque-speed characteristics, no-load and blocked-rotor tests, equivalent circuit, starting and speed control · 1 mark · Multiple choice

A 3-phase, 4-pole, 400 V, 50 Hz squirrel-cage induction motor has slip 0.02. The rotor-flux speed, in mechanical rad/s as seen by a stationary observer, is closest to

  1. 1500
  2. 1470
  3. 157
  4. 154

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Show answer and explanation

Correct answer: (C) 157

Explanation

The rotor magnetic field rotates relative to the rotor at slip speed. Adding that to the rotor's mechanical speed gives synchronous speed with respect to the stator.

For 4 poles and 50 Hz, $n_s=120f/P=1500$ rpm. In mechanical radians per second this is $1500(2\pi/60)=157.08$.

Thus **157 rad/s, C**. The rotor body itself turns at 1470 rpm, but its flux does not rotate at that speed relative to the stationary observer.

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