What rating of shunt capacitor is needed to improve the power factor of a 400 V, 50 Hz, 240 kW load from 0.8 to unity?

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MPPGCL JE Electrical 28 April 2023 Shift 3 Official Paper
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  1. 180 kVAr
  2. 300 kVA
  3. 300 kVAr
  4. 180 kVA

Answer (Detailed Solution Below)

Option 1 : 180 kVAr
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Detailed Solution

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Concept

The rating of shunt capacitor is needed to improve the power factor is given by:

where, Q = Reactive Power

P = Active Power

ϕ1 = Power factor angle before power factor improvement

ϕ2 = Power factor angle after power factor improvement

Calculation

Given, P = 240 kW

cos ϕ1 = 0.8 ⇒ ϕ1 = 36.86°

cos ϕ2 = 1 ⇒ ϕ2 = 0° 

Q = 180 kVAr

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