Power factor calculation

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

C(F) = 1000 × Q(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:

C(F) = 1000 × Q(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:

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