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A 220 V, 50 Hz, 4-Pole, 1410 rpm, single phase induction motor has the following parameters: R₁ = 9.5 Q, X₁ = 12 Q, R₂ = 10.8 Q, X2 = 12 2, and XM = 260 Q. At rated speed the core loss is 30W, and the friction and windage loss is 15W. The motor is connected to a single phase 220V, 50 Hz and runs at the rated speed. Determine: the slip, motor current, power factor, input power, developed torque, output shaft power, shaft torque, efficiency, rotor frequencies, rotor copper losses, and the ratio of forward flux to the backward flux.

A 220 V, 50 Hz, 4-Pole, 1410 rpm, single phase induction motor has the following parameters: R₁ = 9.5 Q, X₁ = 12 Q, R₂ = 10.8 Q, X2 = 12 2, and XM = 260 Q. At rated speed the core loss is 30W, and the friction and windage loss is 15W. The motor is connected to a single phase 220V, 50 Hz and runs at the rated speed. Determine: the slip, motor current, power factor, input power, developed torque, output shaft power, shaft torque, efficiency, rotor frequencies, rotor copper losses, and the ratio of forward flux to the backward flux.

Power System Analysis and Design (MindTap Course List)
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
Chapter12: Power System Controls
Section: Chapter Questions
Problem 12.4P
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A 220 V, 50 Hz, 4-Pole, 1410 rpm, single phase induction motor has the following parameters: R₁ = 9.5 Q, X₁ = 12 Q, R₂ = 10.8 Q, X2 = 12 2, and XM = 260 Q. At rated speed the core loss is 30W, and the friction and windage loss is 15W. The motor is connected to a single phase 220V, 50 Hz and runs at the rated speed. Determine: the slip, motor current, power factor, input power, developed torque, output shaft power, shaft torque, efficiency, rotor frequencies, rotor copper losses, and the ratio of forward flux to the backward flux.
Transcribed Image Text:A 220 V, 50 Hz, 4-Pole, 1410 rpm, single phase induction motor has the following parameters: R₁ = 9.5 Q, X₁ = 12 Q, R₂ = 10.8 Q, X2 = 12 2, and XM = 260 Q. At rated speed the core loss is 30W, and the friction and windage loss is 15W. The motor is connected to a single phase 220V, 50 Hz and runs at the rated speed. Determine: the slip, motor current, power factor, input power, developed torque, output shaft power, shaft torque, efficiency, rotor frequencies, rotor copper losses, and the ratio of forward flux to the backward flux.
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