Power factor correction calculator

Enter your values. The answer and the full worked solution update as you type.

Result

Capacitor reactive power8.298 kvar

Capacitance499.3 µF

Apparent power before20 kVA

Apparent power after15.79 kVA

Step-by-step solution

Reactive power to cancel

Q_C = P·(tan φ₁ − tan φ₂) = 15·(0.8819 − 0.3287) = 8.298 kvar

Capacitor size

C = Q_C/(2πf·V²) = 8298/(2π·50·230²) = 499.3 µF

Key formulas

Real power: P = V·I·cos φ
Reactive power: Q = V·I·sin φ
Apparent power: S = V·I = √(P² + Q²)
Power factor: pf = cos φ = P/S
Correction capacitor: Q_C = P(tan φ₁ − tan φ₂), C = Q_C/(ωV²)

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