The reactive power component kVAR = 

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PGCIL DT Electrical 22 Aug 2021 Official Paper (NR III)
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  1. kW tan∅
  2. kVA sin∅
  3. kW cos∅
  4. kW tan∅ and kVA sin∅

Answer (Detailed Solution Below)

Option 4 : kW tan∅ and kVA sin∅
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Detailed Solution

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Concept:

The power triangle is as shown below.

F1 U.B Madhu 23.03.20 D10

P = Active power (or) Real power in W = Vrms Irms cos ϕ

Q = Reactive power in VAR = Vrms Irms sin ϕ

S = Apparent power in VA = Vrms Irms

S = P + jQ

\(S = \sqrt {{P^2} + {Q^2}}\)

ϕ is the phase difference between the voltage and current

Power factor \(\cos ϕ = \frac{P}{S}\)

From power trinagle:

Q = P tan ϕ = S sin ϕ

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