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Induction Motor Sheet

This document outlines exercises related to induction motors for an Electrical Engineering course at Alexandria University. It includes calculations for slip, rotor copper loss, shaft power, and efficiency for various induction motor scenarios. The exercises involve different motor specifications and require the application of electrical engineering principles to solve them.

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Hazem Ali
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16 views2 pages

Induction Motor Sheet

This document outlines exercises related to induction motors for an Electrical Engineering course at Alexandria University. It includes calculations for slip, rotor copper loss, shaft power, and efficiency for various induction motor scenarios. The exercises involve different motor specifications and require the application of electrical engineering principles to solve them.

Uploaded by

Hazem Ali
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Alexandria University

Faculty of Engineering
Marine Engineering Department.

Electrical Engineering Course.


Academic Year: 2022/2023

Sheet (5)
Induction Motor
1) The power input to a 500 V, 50-Hz, 6-pole, 3-phase induction motor running at 975 rpm is 40 kW. The
stator losses are 1 kW and the friction and windage losses total 2 kW.
Calculate :
• The slip.
• The rotor copper loss.
• Shaft power.
• The efficiency.

2) A three phase, 380V, 50Hz,4-pole, Y connected induction motor runs at 1440 rpm.If the magnetic core
losses, stator copper losses, rotor copper losses and mechanical losses are 500W, 750W,750W and 500W
respectively, Find:
• The synchronous speed.
• The slip.
• The input power.
• The airgap power.
• The developed power.
• The net output Power.
• The output torque.
• The developed torque.
• Efficiency.

3) A 380V, 60 Hz, 6-pole, three-phase, Star-connected induction motor has the following parameters:
R1=0.461 Ω, R2=0.258 Ω, X1=0.507 Ω, X2=0.309 Ω, Xm =30.74 Ω, Rotational losses are 1450W. The
motor drives a mechanical load at a speed of 1170 rpm. Calculate:
• The synchronous speed.
• The slip.
• The input power.
• The airgap power.
• The developed torque.
• The output Power.
• Efficiency.
(1200 rpm, 0.025, 13.068 kW, 12.44 kW, 99 N.m, 10.68 kW, 81.73%)
4) 3 phase, Y connected, 220V, 60Hz, 6 poles induction motor has the following constants in
ohms per phase referred to the stator: R1=0.294, R2=0.144, X1=0.503, X2=0.209, Xm=13.25
Assume friction and windage losses are 400w, for a slip of 2%, Find:
• The speed of the motor.
• The output torque.
• The output power.
• The stator current.
• The power factor.

5) 3 phase, 380V, Y connected wound-rotor induction motor has 0.06  rotor resistance and 0.3 reactance
per phase.Find the additional resistance required in the rotor circuit to make the starting torque equal to
the maximum torque of the motor.

Under Supervision: Dr.Ahmed Bayoumi

By: Eng. Ahmed Khairalla

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