A large 3-phase, 4000 V, 60 Hz, squirrel-cage induction motor draws a current of 385 A and a total active power of 2344 kW when operating at full-load. The corresponding speed is accurately measured and is found to be 709.2 RPM. The stator is connected in wye and the resistance between two stator terminals is 0.10 Ω. The total iron losses are 23.4 kW and the windage and friction losses are 12 kW. Calculate the following: a) The power factor at full load. b) The active power supplied to the rotor. c) The total I²R losses in the rotor. d) The load mechanical power (kW), torque (kN-m) and 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 large 3-phase, 4000 V, 60 Hz, squirrel-cage induction motor draws a current of 385 A and a total active power of 2344 kW when operating at full-load. The corresponding speed is accurately measured and is found to be 709.2 RPM. The stator is connected in wye and the resistance between two stator terminals is 0.10 Ω. The total iron losses are 23.4 kW and the windage and friction losses are 12 kW. Calculate the following:

a) The power factor at full load.
b) The active power supplied to the rotor.
c) The total I²R losses in the rotor.
d) The load mechanical power (kW), torque (kN-m) and efficiency (%).

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