Question

A 3 phase, 3.3 kV industrial plant has an overall power factor of 0.88 lagging. A...

A 3 phase, 3.3 kV industrial plant has an overall power factor of 0.88 lagging. A 200 kVA synchronous motor is added to the system and is run at zero power
factor and slightly reduced rating to provide power factor correction only. The total load is then 350 kVA at unity power factor. It was then decided to run the synchronous machine at its rated kVA and use it as a source of mechanical power, what gross mechanical power would it produce
with the overall power factor of the installation at:
1. unity and
2. reduced to 0.96 lagging.

Answer: 1 65.67 kW; 2 197.87 kW]

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