A four-pole, three-phase induction motor drives a turbine load. At a certain operating point the machine has 4 percent slip and 87 percent efficiency. The motor drives a turbine with torque–speed characteristic given by TL = 20 + 0.006ω2,where TL is the load torque at the shaft. Determine: (1) the torque at the motor-turbine shaft. (2) the total power delivered to the turbine. (3) the total power consumed by the motor.

A four-pole, three-phase induction motor drives a turbine load. At a certain operating point the machine has 4 percent slip and 87 percent efficiency. The motor drives a turbine with torque–speed characteristic given by TL = 20 + 0.006ω2,where TL is the load torque at the shaft. Determine: (1) the torque at the motor-turbine shaft. (2) the total power delivered to the turbine. (3) the total power consumed by the motor.

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter32: Three-phase Motors

Section: Chapter Questions

Problem 6RQ: Name three factors that determine the torque produced by an induction motor.

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Question 43
A four-pole, three-phase induction motor drives aturbine load. At a certain operating point the machinehas 4 percent slip and 87 percent efficiency. The motordrives a turbine with torque–speed characteristic givenby TL = 20 + 0.006ω2. Determine the torque at themotor-turbine shaft and the total power delivered tothe turbine. What is the total power consumed by themotor?