GATE EE 2025 Set 1 — Question 45
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Electrical Machines → Three-Phase Induction Machines → Starting & Speed Control
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Question
A 3-phase, , pole, star connected induction motor has the following parameters referred to the stator:
Stator resistance, magnetizing reactance and core loss of the motor are neglected. The motor is run with constant control from a drive. For maximum starting torque, the voltage and frequency output, respectively, from the drive, is closest to,
Stator resistance, magnetizing reactance and core loss of the motor are neglected. The motor is run with constant control from a drive. For maximum starting torque, the voltage and frequency output, respectively, from the drive, is closest to,
Correct answer
(C) 100 V and 12.5 Hz
Solution
1.Condition for Maximum Starting Torque: Starting torque is maximum when the rotor resistance equals the equivalent standstill reactance: .
2.Frequency Dependence: Reactance varies linearly with frequency . Let be the operating frequency.
- .
- .
- .
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