A three-phase, four-pole, 208 V, 60 Hz, Y-connected, induction motor has thefollowing parameters, in Q/phase referred to the stator: R1 = 0.22, X1 = 0.43,Xm = 15, Rc = 0, R2 = 0.127 and X2 = 0.43. Assume that PFgw = 300 W. Fora rated slip of 5%:a) Determine the rms value of the input current of the machine.b) Find the power converted from electrical to mechanical.c) Compute the shaft speed at half-rated load.

Given data : 208 v , 60 hz R1 =0.22 X1=0.43Xm = 15 Rc=∞P = 4 R2=0.127X2=0.43Solution (a)rms value of…

A three-phase, four-pole, 208 V, 60 Hz, Y-connected, induction motor has the following parameters, in Q/phase referred to the stator: R1 = 0.22, X1 = 0.43, Xm = 15, Rc = ∞, R2 = 0.127 and X2 = 0.43. Assume that PF&w = 300 W. For %3D %D %3D a rated slip of 5%: a) Determine the rms value of the input current of the machine. b) Find the power converted from electrical to mechanical. c) Compute the shaft speed at half-rated load.

A three-phase, four-pole, 208 V, 60 Hz, Y-connected, induction motor has the following parameters, in Q/phase referred to the stator: R1 = 0.22, X1 = 0.43, Xm = 15, Rc = ∞, R2 = 0.127 and X2 = 0.43. Assume that PF&w = 300 W. For %3D %D %3D a rated slip of 5%: a) Determine the rms value of the input current of the machine. b) Find the power converted from electrical to mechanical. c) Compute the shaft speed at half-rated load.

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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Concept explainers

Three Phase Induction Motor

The induction motor is an electric motor that runs on AC (alternating current) and it is of two type single phase motor that work on single-phase power supply and three-phase motor that work on three-phase power supply.

Question

A three-phase, four-pole, 208 V, 60 Hz, Y-connected, induction motor has the
following parameters, in Q/phase referred to the stator: R1 = 0.22, X1 = 0.43,
Xm = 15, Rc = 0, R2 = 0.127 and X2 = 0.43. Assume that PFgw = 300 W. For
a rated slip of 5%:
a) Determine the rms value of the input current of the machine.
b) Find the power converted from electrical to mechanical.
c) Compute the shaft speed at half-rated load.

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