Calculator · Electrical Engineering

Power Factor Correction Calculator

A shunt capacitor supplies the reactive power a lagging load draws, raising the power factor from PF₁ to PF₂ while the real power stays unchanged. Single-phase correction only.

Inputs

Results

Required Qc

1.38 kvar

Capacitance C

83.04 µF

Initial Q₁ · φ₁

1.38 kvar · 36.87°

Target Q₂ · φ₂

0 var · 0°
Real power (unchanged)1.84 kW
Reactive reduction1.38 kvar → 0 var

Assumptions

  • · single-phase shunt-capacitor correction of a lagging load; ideal compensation leaves the real power unchanged

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Technical reference

Qc = P · (tan φ₁ − tan φ₂)

C = Qc / (ω · V²)

tan φ = √(1 − PF²) / PF

P
real power (> 0)[W]
PF₁, PF₂
initial and target power factor, PF₂ ≥ PF₁
V
RMS voltage (> 0)[V]
f
frequency (> 0)[Hz]

Reference: P = 1840 W, 0.8 → 1.0, 230 V, 50 Hz → Qc ≈ 1380 var, C ≈ 83 µF.

The target PF must not be lower than the initial PF.

Single-phase formula only; it is never applied to a three-phase bank.

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