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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Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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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.

(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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