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;

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter35: Harmonics 916
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Problem 3RQ: Would a positive-rotating harmonic or a negative-rotating harmonic be more harmful to an induction...
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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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