This calculator converts apparent power in kilovolt-amperes (kVA) into real power in kilowatts (kW). Enter the kVA and the power factor; you get kW, the reactive power in kVAR and the phase angle.
Formula
Real power P = S × PF, where S is apparent power and PF is the power factor (cos φ). Reactive power Q = √(S² − P²), and the phase angle φ = arccos(PF). The three form the power triangle S² = P² + Q².
- S: apparent power, kVA
- PF: power factor between 0 and 1
Worked Example
50 kVA at a power factor of 0.8.
- P = 50 × 0.8 = 40.00 kW
- Q = √(50² − 40²) = √(2500 − 1600) = √900 = 30.00 kVAR
- φ = arccos(0.8) = 36.87°
Limits and common mistakes
- A power factor above 1 is not possible; the calculator then cannot compute Q.
- Use the power factor of the actual load; 0.8 is a common rating assumption for generators, not a rule for every load.
- Works the same for single-phase and three-phase power, because kVA already includes the phases.
Formula used
in s | Apparent power | kVA | 50 | 0 in pf | Power factor | - | 0.8 | 0 | 1 out p | Real power | kW | s * pf | 2 out q | Reactive power | kVAR | sqrt(s^2 - p^2) | 2 out ang | Phase angle | degrees | acosd(pf) | 2
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.
More cards in this drawer
- Gaussian Beam Propagation Calculator Equation0.5000 mm
- Parallel Impedance Calculator: Total Z Made Clear50.00 ohm
- Gauge Beam Spot Size Calculator and Measurement Guide12.00 mm
- Frequency Range Calculator: Find the Span in Hz900.00 Hz
- Convert Nanoseconds to Hertz: The Reciprocal Formula1,000,000,000.00 Hz
- Gaussian Beam Focus Calculator in Python0.5000 mm