A three-phase Y-connected 230-V (line-to-line) 7.5-kW 60-Hz six-pole induction motor has the following parameter values in Ω/phase referred to the stator:                                                                                                  R1 = 0.294,   R2 = 0.144                                                                                                                                        X1 = 0.503,   X2 = 0.209,   Xm = 13.25  The total friction, windage, and core losses may be assumed to be constant at 403 W, independent of load. For a slip of 4 percent, determine:  (a) stator current, power factor,  (b) output torque and power, (c) efficiency when the motor is operated at rated voltage and frequency,

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 three-phase Y-connected 230-V (line-to-line) 7.5-kW 60-Hz six-pole induction motor has the following parameter values in Ω/phase referred to the stator:                                                                                                  R1 = 0.294,   R2 = 0.144                                                                                                                                        X1 = 0.503,   X2 = 0.209,   Xm = 13.25 
The total friction, windage, and core losses may be assumed to be constant at 403 W, independent of load. For a slip of 4 percent, determine: 
(a) stator current, power factor, 
(b) output torque and power,
(c) efficiency when the motor is operated at rated voltage and frequency, 
(d) the load component 12 of the stator current, the  induced torque Tind, and the converted power Pconv for a slip s= 0.04,
(e) the maximum torque and the corresponding speed; and 
(f) the starting torque Tst and the corresponding stator load current 12 start

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