A three-phase, three-wire, 500-V, 60-Hz source supplies a three-phase induction motor, a wye-connected capacitor bank that draws 2 KVAr per phase, and a balanced three-phase heater that draws a total of 10 kW. The induction motor is operating at its rated 75 Hp and has an efficiency and power factor of 90.5 and 89.5 percent, respectively. Determine the system KVA.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.48P
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TOPIC: Transmission Lines, Power Systems, and Powerplants:

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PROBLEM:
A three-phase, three-wire, 500-V, 60-Hz source supplies a three-phase induction motor, a wye-connected capacitor bank that draws 2 KVAr per phase, and a balanced three-phase heater that draws a total of 10 kW. The induction motor is operating at its rated 75 Hp and has an efficiency and power factor of 90.5 and 89.5 percent, respectively. Determine the system KVA.

  • 78.12
  • 75.98
  • 24.81
  • 83.17


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