Please show a complete solution to the problem A three-phase,50-Hz, 480-V system supplies the following loads:
 A six-pole, 50-Hz, 390-hp, three-phase, wye-connected induction motor, operating at 77 percent of the rated load with an efficiency of 95.1 percent and a power factor of 88.3 percent.
2. A 40-kW, delta-connected, three-phase resistance heater.
3. A 360-hp, 50-Hz, four-pole, wye-connected, cylindrical-rotor synchronous motor, operating at 48 percent of the rated load, with a torque angle of -17.7º.
Neglecting copper losses, the synchronous motor is operating at 92.0 percent efficiency, and its synchronous reactance is 0.748 Ohm/phase. Determine the active power of the system in watts. Give your final answer in 2 decimal places.

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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Please show a complete solution to the problem

  1. A three-phase,50-Hz, 480-V system supplies the following loads:
 A six-pole, 50-Hz, 390-hp, three-phase, wye-connected induction motor, operating at 77 percent of the rated load with an efficiency of 95.1 percent and a power factor of 88.3 percent.
2. A 40-kW, delta-connected, three-phase resistance heater.
3. A 360-hp, 50-Hz, four-pole, wye-connected, cylindrical-rotor synchronous motor, operating at 48 percent of the rated load, with a torque angle of -17.7º.
Neglecting copper losses, the synchronous motor is operating at 92.0 percent efficiency, and its synchronous reactance is 0.748 Ohm/phase. Determine the active power of the system in watts. Give your final answer in 2 decimal places.

 

Correct Answer:  415,684.82 ± 0.01

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