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 (%).

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter32: Three-phase Motors
Section: Chapter Questions
Problem 8RQ
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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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