A three-phase, 460-V, 60-Hz, four-pole Y-connected induction motor has the following equivalent circuit parameters: R, = 0.42 0, R', = 0.23 0, Xs = X', = 0.82 Q, and Xm = 22 0. The rotor speed is 1750 rpm. a. Use the approximate equivalent circuit in Figure Q2 to construct an appropriate forward motoring torque – angular speed characteristic graph for the induction motor. The graph must at least have the following points: i. Torque at synchronous speed and its corresponding slip. ii. Torque at stationary and its corresponding slip. ii. Maximum torque and its corresponding slip. iv. Torque at 1750 rpm and its corresponding slip.

A three-phase, 460-V, 60-Hz, four-pole Y-connected induction motor has the following equivalent circuit parameters: R, = 0.42 0, R', = 0.23 0, Xs = X', = 0.82 Q, and Xm = 22 0. The rotor speed is 1750 rpm. a. Use the approximate equivalent circuit in Figure Q2 to construct an appropriate forward motoring torque – angular speed characteristic graph for the induction motor. The graph must at least have the following points: i. Torque at synchronous speed and its corresponding slip. ii. Torque at stationary and its corresponding slip. ii. Maximum torque and its corresponding slip. iv. Torque at 1750 rpm and its corresponding slip.

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter32: Three-phase Motors

Section: Chapter Questions

Problem 6RQ: Name three factors that determine the torque produced by an induction motor.

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Concept explainers

Synchronous Motor

The synchronous motor is an AC electric type motor where at a steady-state the shaft rotation is synchronized with the supply current variable-frequency. To an integral number of AC cycles, the rotation period is exactly equal. The stator of the motor in the synchronous motor contains multi-phase AC electromagnets due to which a magnetic field is created that rotates in time with the oscillation of the line current. The rotor contains a permanent magnet and the rotor rotates in synchronization with the stator field at the same rate and provides the second synchronized magnetic field which is rotating in nature as a result. When the synchronous motor is supplied with independently excited multi-phase AC electromagnets on both the rotor and the stator, it is termed as a doubly-fed machine. The most widely used AC-type motors are the synchronous AC motor and the induction AC motors.

Question

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A three-phase, 460-V, 60-Hz, four-pole Y-connected induction motor has the following
equivalent circuit parameters: R, = 0.42 Q, R', = 0.23 0, Xs = X, = 0.82 0, and Xm =
22 0. The rotor speed is 1750 rpm.
a. Use the approximate equivalent circuit in Figure Q2 to construct an appropriate
forward motoring torque – angular speed characteristic graph for the induction
motor. The graph must at least have the following points:
i. Torque at synchronous speed and its corresponding slip.
ii. Torque at stationary and its corresponding slip.
i. Maximum torque and its corresponding slip.
iv.
Torque at 1750 rpm and its corresponding slip.

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