Power Factor / kVAR Calculator
Find power factor and reactive power, or calculate capacitor bank size for correction
Results
Power Factor
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Reactive Power Q (kVAR)
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Phase Angle θ
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Results
Capacitor Bank (kVAR)
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New Apparent Power (kVA)
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Current Reduction
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Formula Reference
Power Triangle: S² = P² + Q²
PF = P / S = cos(θ)
Q = √(S² − P²) = P × tan(θ)
θ = arccos(PF)
Power Factor Correction:
Q_cap = P × (tan(arccos(PF₁)) − tan(arccos(PF₂)))
S_new = P / PF₂
Current reduction % = (1 − PF₁/PF₂) × 100
PF = P / S = cos(θ)
Q = √(S² − P²) = P × tan(θ)
θ = arccos(PF)
Power Factor Correction:
Q_cap = P × (tan(arccos(PF₁)) − tan(arccos(PF₂)))
S_new = P / PF₂
Current reduction % = (1 − PF₁/PF₂) × 100
Worked Example
A facility draws 100 kW at 0.75 PF. Target PF = 0.95.
| Parameter | Value |
|---|---|
| Original kVA | 100 / 0.75 = 133.3 kVA |
| Original kVAR | √(133.3²−100²) = 88.2 kVAR |
| Capacitor bank needed | 100×(tan(arccos(0.75))−tan(arccos(0.95))) = 54.3 kVAR |
| New kVA | 100 / 0.95 = 105.3 kVA |
| Current reduction | ≈ 21% |