A single phase 50 hz, generator supplies an inductive load of 5 MW at a power factor of 0.8 lagging using OHTL over 20 km. The resistance and reactance are 0.39Ω and 3.96 Ω. The voltage at receiving station is maintained at 10 KV. The sending end voltage is 11.68 kV. If the voltage regulation is reduced to 50%, then the power factor at this operation mode will be ____________

A single phase 50 hz, generator supplies an inductive load of 5 MW at a power factor of 0.8 lagging using OHTL over 20 km. The resistance and reactance are 0.39Ω and 3.96 Ω. The voltage at receiving station is maintained at 10 KV. The sending end voltage is 11.68 kV. If the voltage regulation is reduced to 50%, then the power factor at this operation mode will be ____________ Correct Answer 0.95, lagging

VR = (11.68-10)*100/10 VR = 16.8 % Half the VR = 16.8/2 % Half the VR = 8.4% (10.84-10)*1000 = |I|*(RcosФr + XsinФr) …(1) I = 5000/(cosФr*10) …(2) Solving above equation Фr = 18.04° Cos Фr = 0.9508, lagging.

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