Elecmetric

VA to kW Calculator

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

Apparent power 10,000 VA, power factor 0.8 gives
8 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

InputValue
Apparent power10,000 VA
Power factor0.8
  1. P = S × pf = 10 kVA × 0.8 = 8 kW
  2. Q = √(S² − P²) = 6 kVAR

Typical values

Apparent power (VA)Real power (kW)
1000.08
5000.4
1,0000.8
5,0004
10,0008
50,00040

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

Assumptions

Use the correction calculator to size capacitors.

Frequently asked questions

How do I convert VA to kW?

P = S × pf; Q = √(S² − P²). Worked example: Apparent power 10,000 VA, power factor 0.8 gives 8 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.

Related

Next steps in a design: Watts to kVAPower Factor Correction
Opposite direction: kW to VA
Also see: VA to Watts Watts to VA kW to Wh Wh to kW
Formula guides: Power Factor and the Power TriangleThree-Phase Power Formulas
All 78 conversionskVA to kW in Elecmetric

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