See how kVA, kW, and kVAR relate through the power triangle. Adjust power factor to watch the triangle transform in real-time.
kVA to kW conversion turns apparent power (kVA) into real power (kW) using the power factor. In any AC circuit, the power factor tells you what fraction of total power does actual work. A 100 kVA generator at 0.85 power factor delivers 85 kW of usable power — the rest is reactive power (kVAR) that maintains magnetic fields in motors and transformers.
kW = kVA × Power Factor. Simple multiplication gives you real power from apparent power.
Size generators, UPS systems, and transformers correctly. Avoid overpaying for equipment you don't need.
Electrical load planning, backup power sizing, industrial motor selection, and utility billing analysis.
Three values matter: kVA (apparent power), kW (real power), and power factor (efficiency ratio from 0 to 1).
The kVA to kW conversion formula multiplies apparent power by the power factor to get real power.
Where kVA is apparent power, PF is the power factor (0 to 1), and kW is real (usable) power.
Values sync with the converter above. Change inputs to see the formula update in real time.
Three steps. No complex math required.
Check your equipment nameplate for the kVA rating. This is the apparent power — the total power drawn from the supply, combining real and reactive components.
Look up the power factor for your load type. Industrial motors run at 0.85–0.95. Mixed commercial loads sit around 0.80–0.90. Resistive loads like heaters use 1.0.
Multiply the kVA value by the power factor. The result is real power in kilowatts (kW) — the actual power available to do work.
kVA measures apparent power — the total power flowing in a circuit. kW measures real power — the portion that performs useful work. The gap between them is reactive power.
Think of kVA as the total effort your electrical system puts out. kW is the part that actually moves the machine, heats the water, or lights the room. The difference — kVAR — keeps magnetic fields running in motors and transformers but does no productive work. A higher power factor means less wasted reactive power and more efficient operation.
The power triangle connects all three values. kVA is the hypotenuse, kW is the adjacent side, and kVAR is the opposite side. The angle between kVA and kW is the power factor angle (θ).
kW = kVA × cos(θ)kVAR = kVA × sin(θ)kVA² = kW² + kVAR²The power triangle above (in the Visualize section) shows this relationship. Adjust the power factor to see how the triangle shape changes — a higher PF makes the triangle flatter, meaning more of the apparent power converts to real power.
Quick reference table showing kW output at different power factor values. Hover any row for a full breakdown.
| kVA | PF 0.70 | PF 0.75 | PF 0.80 | PF 0.85 | PF 0.90 | PF 0.95 | PF 1.00 |
|---|---|---|---|---|---|---|---|
| 5 | 3.5 | 3.75 | 4.0 | 4.25 | 4.5 | 4.75 | 5.0 |
| 10 | 7.0 | 7.5 | 8.0 | 8.5 | 9.0 | 9.5 | 10.0 |
| 25 | 17.5 | 18.75 | 20.0 | 21.25 | 22.5 | 23.75 | 25.0 |
| 50 | 35.0 | 37.5 | 40.0 | 42.5 | 45.0 | 47.5 | 50.0 |
| 100 | 70.0 | 75.0 | 80.0 | 85.0 | 90.0 | 95.0 | 100.0 |
| 200 | 140.0 | 150.0 | 160.0 | 170.0 | 180.0 | 190.0 | 200.0 |
| 500 | 350.0 | 375.0 | 400.0 | 425.0 | 450.0 | 475.0 | 500.0 |
| 1,000 | 700.0 | 750.0 | 800.0 | 850.0 | 900.0 | 950.0 | 1,000.0 |
| 2,000 | 1,400 | 1,500 | 1,600 | 1,700 | 1,800 | 1,900 | 2,000 |
Real-world conversion examples for generators, UPS systems, and transformers. Edit the values to calculate live.
A 500 kVA diesel generator with a power factor of 0.80 delivers: 500 × 0.80 = 400 kW of real power. Most standby generators use a PF of 0.80. Prime-rated generators may use 0.85.
A 10 kVA UPS with a power factor of 0.90 provides: 10 × 0.90 = 9 kW of backup power. Modern UPS systems often have a PF of 0.90 or higher.
A 1000 kVA transformer with a power factor of 0.85 can supply: 1000 × 0.85 = 850 kW. Transformer ratings are always in kVA because the actual kW depends on the connected load's power factor.
25 free conversion tools — each with its own unique calculator, interactive visuals, and detailed explanations.
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Common questions about kVA to kW conversion, power factor, and electrical power.
kVA (kilovolt-amperes) measures apparent power — the total power flowing through an AC circuit. kW (kilowatts) measures real power — the portion that does useful work. The difference is reactive power (kVAR), caused by inductive and capacitive loads. In a purely resistive load, kVA equals kW.
It depends on your load. Industrial motors: 0.85–0.95. Commercial buildings: 0.80–0.90. Resistive loads (heaters, lights): 1.0. Generators: 0.80 (standby) or 0.85 (prime). UPS systems: 0.90–1.0. When unsure, 0.85 is a safe general-purpose value.
Yes. When the power factor is 1.0 (unity), kVA equals kW exactly. This happens with purely resistive loads like electric heaters, incandescent lights, and resistance welders. In practice, most AC loads have some reactive component, so kVA is usually larger than kW.
Multiply the generator's kVA rating by its power factor. Most standby generators use PF = 0.80: a 500 kVA generator delivers 500 × 0.80 = 400 kW. Prime-rated generators typically use PF = 0.85: that same 500 kVA unit would deliver 425 kW.
kVAR (kilovolt-amperes reactive) is the reactive power in an AC circuit. It doesn't do useful work but is needed to sustain magnetic fields in motors, transformers, and inductors. You can calculate it as kVAR = √(kVA² − kW²). High kVAR means low power factor and wasted capacity.
Most industrial and commercial facilities run at 0.80–0.95 power factor. Utilities often penalize customers with PF below 0.85 or 0.90. You can improve power factor by installing capacitor banks or using power factor correction equipment. Unity (1.0) is the ideal but rarely achieved in practice.