GATE EE 2015 Set 2 — Question 32
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Electrical Machines → Three-Phase Induction Machines → Performance Calculations
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Question
The figure shows the per-phase equivalent circuit of a two-pole three-phase induction motor operating at 50 Hz. The “air-gap” voltage, across the magnetizing inductance, is 210 V rms, and the slip, , is 0.05. The torque (in Nm) produced by the motor is __________.
Correct answer
400 to 403
Solution
From the per-phase equivalent circuit:
AThe air-gap power for a 3-phase motor is:
WThe synchronous speed for a 2-pole motor at 50 Hz is:
rad/sThe electromagnetic torque produced is:
Nm
The given range is 400 to 403.
- Rotor resistance referred to stator:
- Rotor reactance referred to stator:
- Slip
- Air-gap voltage V rms
AThe air-gap power for a 3-phase motor is:
WThe synchronous speed for a 2-pole motor at 50 Hz is:
rad/sThe electromagnetic torque produced is:
Nm
The given range is 400 to 403.
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