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Power Energy

Power Factor Correction

Power factor correction reduces the reactive power drawn from the supply by adding a compensating reactance, usually a capacitor bank for an inductive load. The required reactive power is the active power multiplied by the difference between the tangents of the initial and target phase angles. Correcting the power factor reduces the supply current and the associated losses, but it must be engineered for the actual load and harmonic conditions.

Power Factor Correction
Q_c = P × (tan φ1 − tan φ2)

Variables and units

SymbolQuantityUnit
Q_c Reactive power to compensate var
P Active power W
φ1 Initial phase angle degrees
φ2 Target phase angle degrees

Conditions of application

Sinusoidal steady state and approximately constant active power. The compensation capacitor must be rated for the system voltage and for the harmonics present; a detailed study is required where harmonics are significant.

Worked example

Solved
Put this formula to work

Calculate power factor, phase angle and the capacitance needed for correction.

Power Factor Calculator →
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