GATE EE 2023 Set 1 — Question 48
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Electrical Machines → Three-Phase Induction Machines → Starting & Speed Control
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Question
A three phase , , -pole, , squirrel cage induction motor drives a constant torque load at rated speed operating from rated supply and delivering rated output. If the supply voltage and frequency are reduced by , the resultant speed of the motor in RPM (neglecting the stator leakage impedance and rotational losses) is __________ (Round off to the nearest integer).
Correct answer
760 to 760
Solution
1.Initial State:
Synchronous speed .Rated speed .
Initial slip .
2.Final State:
Supply voltage and frequency are reduced by , so:and .
New synchronous speed .
3.Torque Relation:
For an induction motor, neglecting stator impedance, torque .Since the load is constant torque, :
.
4.Resultant Speed:
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