Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN: 9781337900348
Author: Stephen L. Herman
Publisher: Cengage Learning
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Transcribed Image Text:Problem 1.1 KPVS Problem 3.1
Problem 1.2
Figure 1.1 shows a circuit model for the utility (represented here as an ac voltage source)
supplying one phase of an ac induction motor. The motor system parameters are Rs = 0.08 2, Lis
= 1 mH, Lm = 40 mH, Lr = 1 mH, Rr = 0.1 2, and Rx = 33 2. (Rs and Rr represent parasitic
resistances in the motor, while the energy delivered to R, represents energy converted to
mechanical form by the motor.)
a.
If the utility voltage is 170 cos(377t), what is the current into the motor?
At what power factor does the motor operate?
b.
C.
It is desired to improve the power factor of the motor system at the utility interface. It is
proposed to do this by placing a capacitor across the ac line in parallel with the motor.
What value of capacitor would be necessary such that the utility would see a power factor
of 1?
www
www
R
R12
170cos(377t)(
Figure 1.1 A Circuit model for one phase of an induction motor being driven by the utility.
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