kVA to Watts

Convert apparent power in kilovolt-amperes into watts of real power using the load power factor.

kVA to Watts Calculator

W = kVA × 1,000 × PF
5 kVA
kVA
0.9 PF
PF
Quick values

At a glance

W = kVA × 1,000 × PF
Real power
4,500 W
Apparent power
5 kVA
Power factor
0.9 PF

Every diagram and table on this page updates with the calculator above.

Output

Live
Real power
4,500W
W = 5 kVA × 1,000 × 0.9 PF = 4,500 W
In kilowatts4.5 kW
Reactive power2,179.4 VAR

The kVA to Watts Formula

W = kVA × 1,000 × PF

Scale to volt-amperes first, then apply the power factor.

A 5 kVA supply at 0.9 power factor delivers 4,500 watts. The remaining 500 VA of capacity is reactive — real current in the conductors, but no useful output at the other end.

The conversion

Live
Input5kVA
Result4,500W
Kilovolt-amperes to watts

Watts, VAR and Volt-Amperes

Watt (W)
Real power. Energy actually converted into heat, light or motion, and the quantity your meter bills in kilowatt-hours.
Volt-ampere (VA)
Apparent power. Voltage × current with no regard for phase — the figure that sizes conductors and protective devices.
Volt-ampere reactive (VAR)
Reactive power. Energy that shuttles between source and load without ever being consumed.

The three are not interchangeable and cannot simply be added. Watts and VAR combine as the sides of a right triangle whose hypotenuse is the VA figure.

Split of the rating

Live
What the supply is carrying
67%
33%
  • Real power4,500 W
  • Reactive power2,179.4 VAR
Move the power factor slider to change the split

The Right Triangle Behind Every AC Circuit

Real and reactive power are perpendicular. That is why you cannot subtract one from the other — a 5 kVA supply carrying 4,500 W has 2,179 VAR left over, not 500.

VA² = W² + VAR²

The Pythagorean relationship that makes the arithmetic behave unintuitively.

A common arithmetic slip

Subtracting watts from volt-amperes to find VAR gives the wrong answer every time. Use the square root: VAR = √(VA² − W²).

Power triangle

Live
4,500 W2,179.4 VAR5 kVA
W and VAR are perpendicular; VA is the hypotenuse

kVA to Watts Conversion Chart

Small-equipment ratings converted at your chosen power factor.

Conversion chart

Live
kVAReal power (W)Reactive power (VAR)
0.5 kVA450217.94
1 kVA900435.89
1.5 kVA1,350653.83
2 kVA1,800871.78
3 kVA2,7001,307.7
5 kVA4,5002,179.4
7.5 kVA6,7503,269.2
10 kVA9,0004,358.9
15 kVA13,5006,538.3
20 kVA18,0008,717.8
30 kVA27,00013,076.7
50 kVA45,00021,794.5
100 kVA90,00043,589
200 kVA180,00087,178

Watts for Every Rating and PF

When a supplier quotes kVA but your specification is in watts, this grid answers the question directly. The spread across a row is exactly the uncertainty introduced by an unknown power factor.

Watts lookup grid

Live
W for each kVA × PF combination
kVA0.7 PF0.8 PF0.9 PF0.95 PF1 PF
1 kVA7008009009501,000
2 kVA1,4001,6001,8001,9002,000
5 kVA3,5004,0004,5004,7505,000
10 kVA7,0008,0009,0009,50010,000
20 kVA14,00016,00018,00019,00020,000
50 kVA35,00040,00045,00047,50050,000
100 kVA70,00080,00090,00095,000100,000

Watts Decide the Cooling Load

In a server room or plant room the distinction becomes a hardware decision. Breakers and busbars are sized from volt-amperes; air conditioning is sized from watts, because only real power ends up as heat in the room.

  • Size feeders, breakers and busbar from the kVA figure.
  • Size cooling, and estimate running cost, from the watt figure.
  • Reactive power heats the cables on the way in, but adds nothing to the room load.

A 20 kVA rack supply

Given
  • Supply: 20 kVA
  • IT load power factor: 0.95
Working
  1. Watts = 20 × 1,000 × 0.95 = 19,000 W
  2. Cooling ≈ 19 kW ≈ 5.4 tons

Protect for 20 kVA of current but cool for 19 kW of heat.

Two different jobs

Live
Apparent power (sizes the breaker)5 kVA
Real power (sizes the cooling)4.5 kW

kVA to Watts Questions

Common questions about converting kva to watts.

1 kVA is 1,000 watts only at unity power factor. At 0.8 PF it is 800 W, and at 0.9 PF it is 900 W.

Multiply by 1,000 and then by the power factor: W = kVA × 1,000 × PF.

VA is the product of voltage and current. Watts are the part of that product doing useful work, found by multiplying by the power factor.

Yes, and it is effectively 1.0. For heaters and incandescent lamps, watts and volt-amperes are the same number.

Watts. Cooling load follows real power consumed, since that is the energy ultimately released as heat.

Use VAR = √(VA² − W²). Subtracting watts from volt-amperes gives the wrong answer because the two are perpendicular.