A 460V, 25hp, 60Hz, 4 pole, Y-connected induction motor has the following impedances in ohms per phase referred to the stator circuit:  R1 = 0.641 Ω         R2 = 0.332 Ω  X1 = 1.106 Ω         X2 = 0.436 Ω          Xm = 26.3 Ω  The total rotational losses are 1100W and are assumed to be constant. The core loss is lumped in with the rotational losses. For a rotor slip of 3.5% at the rated voltage and rated frequency, find the motor’s Speed Stator current Power factor Pconv and Pout Ʈǐnd and Ʈload Efficiency

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter39: Synchronous Motor Operation
Section: Chapter Questions
Problem 14SQ: Induction motors and welding transformers require magnetizing current, which causes a. lagging power...
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A 460V, 25hp, 60Hz, 4 pole, Y-connected induction motor has the following impedances in ohms per phase referred to the stator circuit: 

R1 = 0.641 Ω         R2 = 0.332 Ω 

X1 = 1.106 Ω         X2 = 0.436 Ω          Xm = 26.3 Ω 

The total rotational losses are 1100W and are assumed to be constant. The core loss is lumped in with the rotational losses. For a rotor slip of 3.5% at the rated voltage and rated frequency, find the motor’s

  1. Speed
  2. Stator current
  3. Power factor
  4. Pconv and Pout
  5. Ʈǐnd and Ʈload
  6. Efficiency
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