kVA to kW Calculator

kVA
kW
kVAR
Formula: kW = kVA × PF | kVAR = kVA × √(1 - PF²)

kVA to kW Calculator

Understanding kVA vs kW is essential when sizing generators, UPS systems, and transformers. The difference comes down to power factor - how efficiently electrical power is being converted to useful work.

Conversion Formula

kW = kVA × PF | kVAR = kVA × √(1 - PF²)

kW = kVA × PF (real power). kVAR = kVA × √(1 - PF²) (reactive power). Together: kVA² = kW² + kVAR² (the power triangle).

Step-by-Step Examples

10 kVA, PF=0.8 = 8 kW, 6 kVAR

10 × 0.8 = 8 kW; 10 × √(1-0.64) = 6 kVAR

20 kVA, PF=1.0 = 20 kW, 0 kVAR

PF=1 means purely resistive load - all power is real

Frequently Asked Questions

What is the difference between kVA and kW?

kVA (kilovolt-amperes) is apparent power - the total power drawn by a circuit including both useful and reactive components. kW (kilowatts) is real power - the actual work-producing power. The ratio kW/kVA is the power factor.

Why are generators rated in kVA instead of kW?

Generators are rated in kVA because the generator itself does not know what power factor the load will have. The kVA rating represents the maximum current and voltage the generator can supply, regardless of load type.

What is reactive power (kVAR)?

Reactive power (kVAR) is the portion of apparent power that does no useful work but is needed to maintain magnetic and electric fields in inductive and capacitive loads like motors and transformers. It causes current to flow without performing real work.