kVA to kW Calculator

Convert kVA to kW with the formula, a worked example and a table of typical values. Working shown step by step.

Apparent power 100 kVA, power factor 0.8 gives

80 kW

Estimate only. Not engineering or safety advice. Check the result against the applicable standard and the equipment data, and have a competent engineer review it before it is relied on. Terms of use.

Open in the calculator with these values

Formula

P = S × pf Q = √(S² − P²)

Worked example

Input	Value
Apparent power	100 kVA
Power factor	0.8

P = S × pf = 100 kVA × 0.8 = 80 kW
Q = √(S² − P²) = 60 kVAR

Typical values

Apparent power (kVA)	Real power (kW)
1	0.8
5	4
10	8
50	40
100	80
500	400

Other inputs are the same as in the worked example above.

Assumptions

Sinusoidal waveforms

Use the correction calculator to size capacitors.

Frequently asked questions

How do I convert kVA to kW?

P = S × pf; Q = √(S² − P²). Worked example: Apparent power 100 kVA, power factor 0.8 gives 80 kW.

What do I need to enter?

Enter apparent power and power factor. Change the unit of a value with its selector and the result stays the same.

Which power factor should I use?

Read it from the equipment nameplate or data sheet. Typical values are only a guide: about 1.0 for a resistive load and about 0.85 for a fully loaded induction motor. Do not use typical values for accurate work.

Is kVA the same as kW?

No. kVA (or VA) is apparent power and kW (or W) is real power. Real power = apparent power × power factor, so the two are equal only when the power factor is 1.

How accurate are the results?

Every figure comes from the same tested engine as the Elecmetric calculators and is meant for estimating. Check design values against the standard and the equipment data you work to.

Next steps in a design: Watts to kVA Power Factor Correction
Opposite direction: kW to kVA
Also see: kVA to VA VA to kVA kW to Volts Volts to kW
Formula guides: Power Factor and the Power Triangle Three-Phase Power Formulas
All 78 conversions kVA to kW in Elecmetric