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.
TOPIC: Transmission Lines, Power Systems, and Powerplants:
INSTRUCTIONS:
- Answer in this format: Given, Illustration, Required Conversion, Solution, Final Answer.
- Step-by-step solution, do not skip even simple calculations to avoid confusion.
- If answered in written form, make sure it is readable.
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
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images