kW vs kVA: What Is the Difference?
kW vs kVA: direct answer #
kW is real power that performs work. kVA is apparent power—the voltage-and-current capacity the source and conductors must carry. Searches for kva vs kw / kw vs kva mean the same comparison. Power factor links them:
- PF = kW ÷ kVA
- kW = kVA × PF
- kVA = kW ÷ PF
| Example | kW | PF | kVA |
|---|---|---|---|
| Unity | 100 | 1.0 | 100 |
| Typical motor / UPS screen | 100 | 0.8 | 125 |
| Corrected industrial | 100 | 0.95 | ≈105.3 |
At unity PF, kW and kVA have the same numerical value. Below unity PF, kVA is greater than kW.
This comparison guide owns the concepts and selection implications. Use the kW to kVA Calculator when the task is simply to convert a live value, the power factor formula for PF = kW ÷ kVA, or the kW-to-kVA formula guide for more worked conversions.
Best for: deciding whether a load, bill or equipment rating should be expressed in kW or kVA. Not suitable for: final transformer, generator, UPS, breaker or cable selection from power alone. Browse the Power Calculator Hub for the next calculation.
Real, reactive and apparent power #
| Quantity | Unit | Meaning |
|---|---|---|
| Real power | kW | Average power converted into work, heat or light |
| Reactive power | kVAR | Alternating energy associated with electric and magnetic fields |
| Apparent power | kVA | RMS voltage-current capacity supplied to the load |
For sinusoidal voltage and current:
kVA² = kW² + kVAR²
Power factor is kW/kVA. For nonlinear loads, true PF also reflects harmonic distortion; displacement PF alone may not reproduce measured kVA.
Correct 0.8 power-factor example #
For a 100 kW load at PF 0.8:
- kVA = 100 ÷ 0.8 = 125 kVA
- kVAR = √(125² − 100²) = 75 kVAR
The difference between 125 kVA and 100 kW is 25 kVA numerically, but it is wrong to call that 25 kVAR. Reactive power is the perpendicular component of the power triangle, so it equals 75 kVAR in this example.
When to use kW and when to use kVA #
Use kW for real load, energy use, heat and mechanical-output discussions. Use kVA when checking the current-carrying capacity of a transformer, generator or UPS, while also checking any separate kW rating and transient limit.
The simple conversion is not a complete equipment selection. Starting current, harmonics, duty, temperature, redundancy and future load can govern the final rating.
Combining several loads correctly #
If loads have different power factors, do not assume their kVA magnitudes can always be added as scalars. The robust method is:
- calculate each load's kW and kVAR, preserving leading or lagging sign;
- sum kW and kVAR separately;
- calculate total kVA = √(total kW² + total kVAR²).
Example: 200 kW at PF 0.80 and 50 kW at PF 0.90, both lagging.
- Load 1: 200 kW, kVAR = 200 × tan(cos⁻¹ 0.80) = 150.0 kVAR
- Load 2: 50 kW, kVAR = 50 × tan(cos⁻¹ 0.90) ≈ 24.2 kVAR
- Total: 250 kW and 174.2 kVAR
- Total kVA = √(250² + 174.2²) ≈ 304.6 kVA
Adding the individual 250 and 55.6 kVA magnitudes gives 305.6 kVA, which is slightly conservative here because their phase angles differ. The P/Q method remains valid when power factors differ or when leading and lagging loads coexist.
Does low power factor always cause a penalty? #
No universal PF threshold applies. A lower PF increases current for the same kW and may reduce usable equipment capacity. Whether it creates a bill penalty depends on the utility tariff, measurement window and reactive-demand rules. Read the actual tariff before setting a correction target.
Power-factor correction also requires harmonic and switching checks; do not select a capacitor bank from kW and PF alone.
Common mistakes #
- Calling kVA “power consumed”: energy and useful work are usually expressed in kW and kWh.
- Calling kVA − kW reactive power: calculate kVAR with the power triangle.
- Adding unlike kVA values blindly: sum signed kW and kVAR when load angles differ.
- Using displacement PF for nonlinear loads: check true-RMS measurements and equipment data.
- Treating converted kVA as a final equipment size: verify all model-specific limits.
Technical sources #
- U.S. Department of Energy electrical science handbook — definitions and power-triangle relationships.
- Eaton power factor correction guide — industrial power-factor context.
FAQ #
Is kVA the same as kW?
Only at PF = 1. In general, kW = kVA × PF, so a load below unity power factor requires more kVA than kW.
How many kVA is 100 kW at 0.8 PF?
125 kVA. The corresponding reactive power for a sinusoidal 0.8 lagging PF load is 75 kVAR.
Why are transformers and generators rated in kVA?
Their voltage and current limits respond to apparent power. The usable kW also depends on load power factor and the manufacturer's real-power and transient limits.
Next step #
Use this page to choose the correct quantity, then send actual kW and PF values to the kW to kVA Calculator for conversion.