Skip to content
SolarSystemCalc

kW to kVA Calculator

Real power (kW) and apparent power (kVA) differ by the power factor. Enter kW and the power factor to get kVA – or type kVA to find kW.

kW
kVA

Generators and UPS are often rated at 0.8; modern inverters 0.9–1.0.

10 kW = 12.5 kVA

With your numbers

10 kW ÷ 0.8 = 12.5 kVA

Formula: kVA = kW ÷ power factor

Formula

kWkVA
kVA = kW ÷ power factor
kVAkW
kW = kVA × power factor

Worked examples

  1. Example 1

    10 kW load, PF 0.8

    Given: P = 10 kW, PF = 0.8

    S = 10 ÷ 0.8

    Answer: 12.5 kVA – choose at least a 12.5 kVA generator.

  2. Example 2

    5 kW solar inverter, PF 1.0

    Given: P = 5 kW, PF = 1

    S = 5 ÷ 1

    Answer: 5 kVA – unity power factor means kW and kVA are equal.

  3. Example 3

    3 kW of motors, PF 0.7

    Given: P = 3 kW, PF = 0.7

    S = 3 ÷ 0.7

    Answer: 4.29 kVA.

  4. Example 4

    Reverse: 20 kVA generator at PF 0.8

    Given: S = 20 kVA, PF = 0.8

    P = 20 × 0.8

    Answer: 16 kW of real power available.

When you need this conversion

kW to kVA conversion is central to sizing generators, transformers, UPS units, and hybrid solar inverters, all of which are rated in kVA (apparent power) even though the loads they serve are usually described in kW (real power). Undersizing a generator by ignoring this gap is one of the most common mistakes in backup power and off-grid system design.

The formula explained

Apparent power in kVA equals real power in kW divided by the power factor:

kVA = kW ÷ Power Factor

Power factor represents the ratio of real, usable power to total apparent power a circuit demands. A power factor of 1 means kW and kVA are equal; anything below 1, typical of motors, compressors, and mixed household loads, means the equipment must be rated higher in kVA than the kW figure alone would suggest, since it also has to handle the reactive component of current.

Common values at a glance

Real load (kW)kVA at PF 0.8kVA at PF 0.95
2 kW2.5 kVA2.11 kVA
5 kW6.25 kVA5.26 kVA
8 kW10.0 kVA8.42 kVA
10 kW12.5 kVA10.53 kVA
20 kW25.0 kVA21.05 kVA

Practical tips

  • Always size a generator or transformer by kVA, not kW, since the equipment's windings and conductors are rated for total current, which depends on apparent power.
  • 0.8 is a reasonable default power factor for a mixed load of motors, pumps, and electronics; resistive loads and modern electronics with active power factor correction often run closer to 0.95 to 1.
  • Hybrid and off-grid solar inverters list both a kW (continuous real power) and kVA (apparent power) rating; check both against your expected loads, especially for motor-driven appliances with low power factor.
  • Undersizing equipment by using kW where kVA is required is a common cause of nuisance tripping or overheating under mixed inductive loads.

Related tools

Frequently asked questions

How many kVA is 8 kW at a power factor of 0.8?

8 kW divided by a power factor of 0.8 equals 10 kVA, the apparent power rating you would need from a generator or transformer to supply that real load.

What is the difference between kW and kVA?

kW measures real power that actually does useful work, while kVA measures apparent power, the total power a generator, transformer, or UPS must be rated to handle including reactive losses.

Why is generator capacity given in kVA instead of kW?

Generators and transformers must be sized for total current handling capability, which is apparent power in kVA, since that determines heating and insulation limits regardless of the load's power factor.

What power factor should I assume if I do not know the actual value?

0.8 is a common default for mixed household or commercial loads with motors and electronics, but inverters and resistive loads often run closer to 0.95 to 1.

How do I convert kVA back to kW?

Multiply kVA by the power factor: kW equals kVA times PF, so a 10 kVA generator running at a 0.8 power factor delivers 8 kW of real power.