1. A 3- phase, 8- pole, design C, induction motor, rated at 874 r/min, 30 hp. 60 Hz, 460 V, operating at reduced load, has a shaft speed of 880 r/min, the combined stray power loss, windage loss, and friction loss is 350 W. The motor parameters in ohms per phase referred to the high side are: R, = 0.1891 X, = 1.338 R, = 0.191 X, = 0.5735 X= 14.18 R= 189.1 %3D Determine: a) motor input impedance per phase b) line current c) active (real), reactive, and apparent power and power factor

Introductory Circuit Analysis (13th Edition)
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Chapter1: Introduction
Section: Chapter Questions
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Question
1. A3- phase, 8- pole, design C, induction motor, rated at 874 r/min, 30 hp, 60 Hz, 460 V,
operating at reduced load, has a shaft speed of 880 r/min, the combined stray power loss,
windage loss, and friction loss is 350 W. The motor parameters in ohms per phase referred to
the high side are:
R, = 0.1891
X, = 1.338
R, = 0.191
X, = 0.5735
X= 14.18
R. = 189.1
Determine:
a) motor input impedance per phase
b) line current
c) active (real), reactive, and apparent power and power factor
d) equivalent rotor current
e) stator conductor (copper) loss
f) rotor conductor (copper) loss
g) core loss
h) air-gap power
i) mechanical power developed
j) developed torque
k) shaft horsepower
1) shaft torque
m) efficiency
n) sketch the power- flow diagram and enter all data
o) the expected minimum locked- rotor torque, breakdown torque, and pull- up torque (use
appropriate tables for design C. Tables are provided for your convenience.
Hint: To solve this problem you should use equivalent series- parallel model of an induction
motor with all the parameters referred to the stator.
Important notes:
1. Rated speed and power are given as well as actual shaft speed. You should use actual
speed to solve the problem (items a – n)
2. The last question, item (o), deals with various torques as % of rated torque (as indicated
by enclosed tables). Prior to using tables, you should find rated torque based on rated
speed and rated power.
Transcribed Image Text:1. A3- phase, 8- pole, design C, induction motor, rated at 874 r/min, 30 hp, 60 Hz, 460 V, operating at reduced load, has a shaft speed of 880 r/min, the combined stray power loss, windage loss, and friction loss is 350 W. The motor parameters in ohms per phase referred to the high side are: R, = 0.1891 X, = 1.338 R, = 0.191 X, = 0.5735 X= 14.18 R. = 189.1 Determine: a) motor input impedance per phase b) line current c) active (real), reactive, and apparent power and power factor d) equivalent rotor current e) stator conductor (copper) loss f) rotor conductor (copper) loss g) core loss h) air-gap power i) mechanical power developed j) developed torque k) shaft horsepower 1) shaft torque m) efficiency n) sketch the power- flow diagram and enter all data o) the expected minimum locked- rotor torque, breakdown torque, and pull- up torque (use appropriate tables for design C. Tables are provided for your convenience. Hint: To solve this problem you should use equivalent series- parallel model of an induction motor with all the parameters referred to the stator. Important notes: 1. Rated speed and power are given as well as actual shaft speed. You should use actual speed to solve the problem (items a – n) 2. The last question, item (o), deals with various torques as % of rated torque (as indicated by enclosed tables). Prior to using tables, you should find rated torque based on rated speed and rated power.
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