(b) A 50 Hz, 415 V, 3-phase, 8-pole, squirrel-cage induction motor, with an internal cooling fan, drives a load whose torque variation is given in the following table. Time period (s) O to 35 35 to 50 50 to 70 Torque (Nm) 100 Linear increase, 100 to 200 200 Linear decrease, 200 to 100 100 70 to 80 80 to 100 100 to 120 If this torque-time cycle is repeated indefinitely, find which of the following continuously rated motors might be suitable for the duty: (3.7 kW, 5.6 kW, 7.5 kW, 9.5 kW, 11.2 kW, 15 kW, 18.7 kW, 22.5 kW, 30 kw, 37.5 kW). Assume that: • the motor remains spinning under zero torque conditions; • the value m = 2 is appropriate in the constant equivalent torque esti- mation. [Note that if part of a duty cycle characteristic can be represented by a straight line joining points (x1, a) and (x1 + X, b), then if all the ordinate values are squared, the area under the resulting curve will be X(a² + b² +ab) / 3.]

(b) A 50 Hz, 415 V, 3-phase, 8-pole, squirrel-cage induction motor, with an internal cooling fan, drives a load whose torque variation is given in the following table. Time period (s) O to 35 35 to 50 50 to 70 Torque (Nm) 100 Linear increase, 100 to 200 200 Linear decrease, 200 to 100 100 70 to 80 80 to 100 100 to 120 If this torque-time cycle is repeated indefinitely, find which of the following continuously rated motors might be suitable for the duty: (3.7 kW, 5.6 kW, 7.5 kW, 9.5 kW, 11.2 kW, 15 kW, 18.7 kW, 22.5 kW, 30 kw, 37.5 kW). Assume that: • the motor remains spinning under zero torque conditions; • the value m = 2 is appropriate in the constant equivalent torque esti- mation. [Note that if part of a duty cycle characteristic can be represented by a straight line joining points (x1, a) and (x1 + X, b), then if all the ordinate values are squared, the area under the resulting curve will be X(a² + b² +ab) / 3.]

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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