Homework problem: The per-phase equivalent circuit parameters of 33 kW, 60 Hz, star-connected, 4 pole, 1755 rpm 3-0 IM are: R1= 0. j0.5 2, Xm= j20 2, R2 = 0.12, X2 = 0.2 N. If the mechanic (windage and friction) are 650 W and iron losses are 300 W, deter following when the motor operates at full load at rated speed: (a) The synchronous speed. (b) The slip. (c) The input current and power factor. (d) The input power. (e) The useful mechanical power. (f) The output torque. (g) The motor efficiency. %3D Use exact equivalent circuit and simplified equivalent circuit comments on the results obtained.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.48P
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Homework problem: The per-phase equivalent circuit parameters of a 400 V,
33 kW, 60 Hz, star-connected, 4 pole, 1755 rpm 3-0 IM are: R1= 0.2 N, X1=
j0.5 2, Xm= j20 2, R2 = 0.12, X2 = 0.2 N. If the mechanical losses
(windage and friction) are 650 W and iron losses are 300 W, determine the
following when the motor operates at full load at rated speed:
(a) The synchronous speed.
(b) The slip.
(c) The input current and power factor.
(d) The input power.
(e) The useful mechanical power.
(f) The output torque.
(g) The motor efficiency.
Use exact equivalent circuit and simplified equivalent circuit and give
comments on the results obtained.
Transcribed Image Text:Homework problem: The per-phase equivalent circuit parameters of a 400 V, 33 kW, 60 Hz, star-connected, 4 pole, 1755 rpm 3-0 IM are: R1= 0.2 N, X1= j0.5 2, Xm= j20 2, R2 = 0.12, X2 = 0.2 N. If the mechanical losses (windage and friction) are 650 W and iron losses are 300 W, determine the following when the motor operates at full load at rated speed: (a) The synchronous speed. (b) The slip. (c) The input current and power factor. (d) The input power. (e) The useful mechanical power. (f) The output torque. (g) The motor efficiency. Use exact equivalent circuit and simplified equivalent circuit and give comments on the results obtained.
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