A three-phase,50-Hz, 480-V system supplies the following loads: 1. A six-pole, 50-Hz, 460-hp, three-phase, wye-connected induction motor, operating at 71 percent of the rated load with an efficiency of 93.6 percent and a power factor of 87.1 percent. 2. A 55-kW, delta-connected, three-phase resistance heater. 3. A 200-hp, 50-Hz, four-pole, wye-connected, cylindrical-rotor synchronous motor, operating at 51 percent of the rated load, with a torque angle of -13.2º. Neglecting copper losses, the synchronous motor is operating at 92.4 percent efficiency, and its synchronous reactance is 0.598 Ohm/phase. Determine the reactive power of the induction motor in volt-ampere reactive. Give your final answer in 2 decimal places. Correct Answer: 146,822.55 ± 0.01
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Give your final answers in at least 2 decimal places - make it 3 or 4 decimal places whenever required in the problem. If you are doing a step by step calculation, maintain 6 decimal places in your in-between calculations to hit good accuracy in your final answers. Use 1 hp = 746 Watts in your conversion whenever necessary.
A three-phase,50-Hz, 480-V system supplies the following loads:
1. A six-pole, 50-Hz, 460-hp, three-phase, wye-connected induction motor, operating at 71 percent of the rated load with an efficiency of 93.6 percent and a power factor of 87.1 percent.
2. A 55-kW, delta-connected, three-phase resistance heater.
3. A 200-hp, 50-Hz, four-pole, wye-connected, cylindrical-rotor synchronous motor, operating at 51 percent of the rated load, with a torque angle of -13.2º.
Neglecting copper losses, the synchronous motor is operating at 92.4 percent efficiency, and its synchronous reactance is 0.598 Ohm/phase. Determine the reactive power of the induction motor in volt-ampere reactive. Give your final answer in 2 decimal places.
Correct Answer: 146,822.55 ± 0.01
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