a) The figure below shows the per-phase equivalent circuit of a two- pole three-phase induction motor operating at 50 Hz. The voltage (E1) across the magnetizing inductance is 210 V, and the slip (s) is 0.05. What is the developed torque produced by the motor ? 0.04 0 j0.22 Q j0.22 0 0.05 0 j6.28 Q E E1 b) A 4 poles , 50HZ ,Y-connected three phase induction motor has the per phase equivalent circuit parameters of ( R3= R2= 0.12 , X1 = X2 = 0.6 , Xm =12 ) n and l2 = 20L0°. Use exact equivalent circuit to determine the following at rated slip of 0.03: 1. Stator current II. Magnetizing current II. IV. Developed torque Power factor c) What is the physical meaning for each of the following induction motor parameters: R1 ,R2 ,Rc ,X1 ,X2 ,Xm ?

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter39: Synchronous Motor Operation
Section: Chapter Questions
Problem 14SQ: Induction motors and welding transformers require magnetizing current, which causes a. lagging power...
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a) The figure below shows the per-phase equivalent circuit of a two-
pole three-phase induction motor operating at 50 Hz. The voltage
(E1) across the magnetizing inductance is 210 V, and the slip (s) is
0.05. What is the developed torque produced by the motor ?
0.04 O j0.22 Q
jo.22 0
j6.28 N E E1
0.05 0
V
b) A 4 poles , 50HZ ,Y-connected three phase induction motor has the per
phase equivalent circuit parameters of ( R3= R2= 0.12 , X1 = X2 = 0.6 , Xm
=12 ) N and l2 = 20L0". Use exact equivalent circuit to determine the
following at rated slip of 0.03 :
I. Stator current
II. Magnetizing current
II.
Power factor
IV.
Developed torque
c) What is the physical meaning for each of the following induction motor
parameters: R1 ,R2 ,Rc ,X1 ,X2 ,Xm ?
Transcribed Image Text:a) The figure below shows the per-phase equivalent circuit of a two- pole three-phase induction motor operating at 50 Hz. The voltage (E1) across the magnetizing inductance is 210 V, and the slip (s) is 0.05. What is the developed torque produced by the motor ? 0.04 O j0.22 Q jo.22 0 j6.28 N E E1 0.05 0 V b) A 4 poles , 50HZ ,Y-connected three phase induction motor has the per phase equivalent circuit parameters of ( R3= R2= 0.12 , X1 = X2 = 0.6 , Xm =12 ) N and l2 = 20L0". Use exact equivalent circuit to determine the following at rated slip of 0.03 : I. Stator current II. Magnetizing current II. Power factor IV. Developed torque c) What is the physical meaning for each of the following induction motor parameters: R1 ,R2 ,Rc ,X1 ,X2 ,Xm ?
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