A three-phase, six-pole, Y-connected, 60 Hz induction motor is rated at

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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A three-phase, six-pole, Y-connected, 60 Hz induction motor is rated at 240V (RMS line-line voltage) and
8 kW. It has the following circuit parameters in each phase referred to the stator synchronous speed reference frame:
R₁ = 0.320, R₂ = 0.150,
0.225Ω, Χ
2
=
The core resistance is ignored. The total friction, windage and core losses are assumed to be constant at 410W,
independent of load. The slip is 1.6 percent, and the motor is operated at rated voltage and rated frequency.
(a) Calculate the synchronous speed and rotor speed in the unit of revolutions per minute (r/min
(b) Calculate the stator current and power factor.
(c) Calculate the input power, the stator power loss, the airgap power and the rotor power loss. .
(d) Calculate the mechanical power, the output (shaft) power and the power conversion efficiency.
(e) Calculate the shaft torque in Nm.
X
1
=
0.52Ω, Χ
= 14.5Ω
m
Transcribed Image Text:A three-phase, six-pole, Y-connected, 60 Hz induction motor is rated at 240V (RMS line-line voltage) and 8 kW. It has the following circuit parameters in each phase referred to the stator synchronous speed reference frame: R₁ = 0.320, R₂ = 0.150, 0.225Ω, Χ 2 = The core resistance is ignored. The total friction, windage and core losses are assumed to be constant at 410W, independent of load. The slip is 1.6 percent, and the motor is operated at rated voltage and rated frequency. (a) Calculate the synchronous speed and rotor speed in the unit of revolutions per minute (r/min (b) Calculate the stator current and power factor. (c) Calculate the input power, the stator power loss, the airgap power and the rotor power loss. . (d) Calculate the mechanical power, the output (shaft) power and the power conversion efficiency. (e) Calculate the shaft torque in Nm. X 1 = 0.52Ω, Χ = 14.5Ω m
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