A 3300-V, 50-Hz, 3-phase, 4-pole, star-connected induction motor has identical primary and referred secondary impedances of value 3 + j9 ohm per phase. The turns-ratio per phase is 3/I (stator/rotor), and the rotor winding is connected in delta and brought out to slip rings. Calculate:the full-load torque at rated slip of 5%;the maximum torque at normal voltage and frequency;the supply voltage reduction which can be withstood without the motor stalling;the maximum torque if the supply voltage and frequency both fall to half normal value;the increase in rotor-circuit resistance which, at normal voltage and frequency, will permit maximum torque to be developed at starting. Express this:as a fraction of normal R2andas (3) ohmic values to be placed in series with each of the slip-ring terminals and star connected.

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Answered: A 3300-V, 50-Hz, 3-phase, 4-pole,…

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 3300-V, 50-Hz, 3-phase, 4-pole, star-connected induction motor has identical primary and referred secondary impedances of value 3 + j9 ohm per phase. The turns-ratio per phase is 3/I (stator/rotor), and the rotor winding is connected in delta and brought out to slip rings. Calculate:

the full-load torque at rated slip of 5%;
the maximum torque at normal voltage and frequency;
the supply voltage reduction which can be withstood without the motor stalling;
the maximum torque if the supply voltage and frequency both fall to half normal value;
the increase in rotor-circuit resistance which, at normal voltage and frequency, will permit maximum torque to be developed at starting. Express this:
as a fraction of normal R2and
as (3) ohmic values to be placed in series with each of the slip-ring terminals and star connected.

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