# Power Factor calculator

Power factor calculator. Calaculate power factor, apparent power, reactive power and correction capacitor's capacitance.

This calculator is for educational purposes.

 Phase #: Single phase Three phase Real power in kilowatts: kW Current in amps: A Voltage in volts: V Frequency in hertz: Hz Corrected power factor: Power factor result: Apparent power: kVA Reactive power: kVAR Correction capacitor: µF

The power factor correction capacitor should be connected in parallel to each phase load.

The power factor calculation does not distinguish between leading and lagging power factors.

The power factor correction calculation assumes inductive load.

## Single phase circuit calculation

Power factor calculation:

PF = |cos φ| = 1000 × P(kW) / (V(V) × I(A))

Apparent power calculation:

|S(kVA)| = V(V) × I(A) / 1000

Reactive power calculation:

Q(kVAR) = √(|S(kVA)|2 - P(kW)2)

Power factor correction capacitor's capacitance calculation:

Scorrected (kVA) = P(kW) / PFcorrected

Qcorrected (kVAR) = √(Scorrected (kVA)2 - P(kW)2)

Qc (kVAR) = Q(kVAR) - Qcorrected (kVAR)

C(F) = 1000 × Qc (kVAR) / (2πf(Hz)×V(V)2)

## Three phase circuit calculation

For three phase with balanced loads:

#### Calculation with line to line voltage

Power factor calculation:

PF = |cos φ| = 1000 × P(kW) / (3 × VL-L(V) × I(A))

Apparent power calculation:

|S(kVA)| = 3 × VL-L(V) × I(A) / 1000

Reactive power calculation:

Q(kVAR) = √(|S(kVA)|2 - P(kW)2)

Power factor correction capacitor's capacitance calculation:

Qc (kVAR) = Q(kVAR) - Qcorrected (kVAR)

C(F) = 1000 × Qc (kVAR) / (2πf(Hz)×VL-L(V)2)

#### Calculation with line to neutral voltage

Power factor calculation:

PF = |cos φ| = 1000 × P(kW) / (3 × VL-N(V) × I(A))

Apparent power calculation:

|S(kVA)| = 3 × VL-N(V) × I(A) / 1000

Reactive power calculation:

Q(kVAR) = √(|S(kVA)|2 - P(kW)2)

Power factor correction capacitor's capacitance calculation:

Qc (kVAR) = Q(kVAR) - Qcorrected (kVAR)

C(F) = 1000 × Qc (kVAR) / (3×2πf(Hz)×VL-N(V)2)