A three-phase, Y-connected, 460-V (line-line), 37-kW, 60-Hz, four-pole induction motor has the following equivalent-circuit parameters in ohms-per-phase referred to the stator: R₁ = 0.070 R₂ = 0.152 X₁ = 0.743 X₂ = 0.764 Xm = 40.1 The total friction and windage losses may be assumed constant at 390 W, and the core loss may be assumed to be equal to 325 W. With the motor connected directly to a 460-V source, compute the speed, output shaft torque and power, input power, and power factor and efficiency for slips of 1, 2, and 3 percent. You may choose either to represent the core loss by a resistance connected directly across the motor terminals or by resistance Re connected in parallel with the magnetizing reactance Xm-
A three-phase, Y-connected, 460-V (line-line), 37-kW, 60-Hz, four-pole induction motor has the following equivalent-circuit parameters in ohms-per-phase referred to the stator: R₁ = 0.070 R₂ = 0.152 X₁ = 0.743 X₂ = 0.764 Xm = 40.1 The total friction and windage losses may be assumed constant at 390 W, and the core loss may be assumed to be equal to 325 W. With the motor connected directly to a 460-V source, compute the speed, output shaft torque and power, input power, and power factor and efficiency for slips of 1, 2, and 3 percent. You may choose either to represent the core loss by a resistance connected directly across the motor terminals or by resistance Re connected in parallel with the magnetizing reactance Xm-
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![A three-phase, Y-connected, 460-V (line-line), 37-kW, 60-Hz, four-pole
induction motor has the following equivalent-circuit parameters in
ohms-per-phase referred to the stator:
R₁ = 0.070 R₂ = 0.152 X₁ = 0.743 X2 = 0.764 Xm = 40.1
The total friction and windage losses may be assumed constant at 390 W, and
the core loss may be assumed to be equal to 325 W. With the motor
connected directly to a 460-V source, compute the speed, output shaft torque
and power, input power, and power factor and efficiency for slips of 1, 2, and
3 percent. You may choose either to represent the core loss by a resistance
connected directly across the motor terminals or by resistance Re connected
in parallel with the magnetizing reactance Xm-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fecd9d238-92a1-4a47-af9e-c758e887edd1%2F113389c3-d387-42d3-88de-3517242a5baa%2Ftkl3de_processed.png&w=3840&q=75)
Transcribed Image Text:A three-phase, Y-connected, 460-V (line-line), 37-kW, 60-Hz, four-pole
induction motor has the following equivalent-circuit parameters in
ohms-per-phase referred to the stator:
R₁ = 0.070 R₂ = 0.152 X₁ = 0.743 X2 = 0.764 Xm = 40.1
The total friction and windage losses may be assumed constant at 390 W, and
the core loss may be assumed to be equal to 325 W. With the motor
connected directly to a 460-V source, compute the speed, output shaft torque
and power, input power, and power factor and efficiency for slips of 1, 2, and
3 percent. You may choose either to represent the core loss by a resistance
connected directly across the motor terminals or by resistance Re connected
in parallel with the magnetizing reactance Xm-
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Step 1: State the given data.
VIEWStep 2: Explain the per phase equivalent circuit and determine no-load parameters.
VIEWStep 3: Determine input current for slip of 1%.
VIEWStep 4: Determine asked parameters for slip of 1%.
VIEWStep 5: Determine input current for slip of 2%.
VIEWStep 6: Determine asked parameters for slip of 2%.
VIEWStep 7: Determine input current for slip of 3%.
VIEWStep 8: Determine asked parameters for slip of 3%.
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