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# Calculations

#### 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)