A three-phase, four-pole induction motor, connected at ∆, 220V, 60Hz, presents rotational losses of 300W when operating with a slip of 2.5%. It is known that the motor has the following parameters per phase: r1 = r2′ = 0.5Ω, x1 = x′2 = 1jΩ, rc = 107Ω xφ = 10jΩ. Under these conditions, calculate:   (a) The line current supplied by the mains to the motor.   (b) Engine efficiency.   (c) Assume the motor starts at a standstill, find the starting line current.

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, four-pole induction motor, connected at ∆, 220V, 60Hz, presents rotational losses of 300W when operating with a slip of 2.5%. It is known that the motor has the following parameters per phase: r1 = r2′ = 0.5Ω, x1 = x′2 = 1jΩ, rc = 107Ω xφ = 10jΩ.
Under these conditions, calculate:
 
(a) The line current supplied by the mains to the motor.
 
(b) Engine efficiency.
 
(c) Assume the motor starts at a standstill, find the starting line current.
 
(d) Assume that the motor starting torque is greater than the load torque. Describe what happens between the moment of starting and the moment when the engine reaches the operating point. Discuss the relationship between motor speed, slip, and the current required from the network.
..
 
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