Kilovolt-Ampere (kVA) to Kilowatt Converter
Power · unit-converter
Convert Kilovolt-Ampere (kVA) to Kilowatt with a fixed input and output unit, step-by-step formula line, and reference tables. Linear units use SI watt definitions; mechanical hp uses 550 ft·lbf/s; BTU/h uses the IT BTU; dBm/dBW are logarithmic relative to 1 mW and 1 W. The full Power Converter also includes PS/CV, TR, kVA/MVA, and ft·lb/s.
Calculator
From: Kilovolt-Ampere (kVA) (kva)
To: Kilowatt (kw)
About Kilovolt-Ampere (kVA)
One kilovolt-ampere equals 1,000 VA. At unity power factor in this converter, kVA maps linearly to watts.
About Kilowatt
One kilowatt is 1,000 W. Motor, heater, and grid-scale loads are often rated in kW.
How to convert kilovolt-amperes (kva, unity pf) to kilowatts
1 kilovolt-ampere (kva) is equal to 1 kilowatt when both are expressed in watt-equivalents:
1 kva = (1,000 W ÷ 1,000 W) kw = 1 kw
Each kilovolt-ampere (kva) is defined as 1,000 W and each kilowatt as 1,000 W in this tool, so one kva equals 1,000 ÷ 1,000 kw = 1 kw.
Let d(kva) be the numeric value in Kilovolt-Ampere (kVA) (kva), and d(kw) the value in Kilowatt (kw). Then:
d(kw) = d(kva) × (1,000 / 1,000)
Equivalently, divide by how many kva fit into one kw (watts per kw divided by watts per kva):
d(kw) = d(kva) ÷ 1
Or: kilowatt = kilovolt-ampere (kva) ÷ 1
Examples
Example #1: Convert 1 kva to kilowatt
1 kva = 1 kva × (1,000/1,000) kw = 1 kw
1 kva = 1 kva ÷ 1 = 1 kw
Intermediate watts: 1,000 W
Example #2: Convert 10 kva to kilowatt
10 kva = 10 kva × (1,000/1,000) kw = 10 kw
10 kva = 10 kva ÷ 1 = 10 kw
Intermediate watts: 10,000 W
Summary
To convert Kilovolt-Ampere (kVA) to Kilowatt, multiply the value in kva by the ratio of watts per kva divided by watts per kw. Equivalently: value_kw = value_kva × (1000 / 1000). Numerically, 1 kva equals 1 kw.
Relationship context
You are converting between apparent power at unity PF (VA) (Kilovolt-Amperes (kVA, unity PF)) and SI / decimal power (watts and prefixes) (Kilowatts). All linear values are mapped through watts first. The numeric factor is 1.000000e+0.
Conversion tables
| Kilovolt-Ampere (kVA) (kva) | Kilowatt (kw) |
|---|---|
| 0.1 | 0.1 |
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
| 5 | 5 |
| 6 | 6 |
| 7 | 7 |
| 8 | 8 |
| 9 | 9 |
| Kilovolt-Ampere (kVA) (kva) | Kilowatt (kw) |
|---|---|
| 10 | 10 |
| 20 | 20 |
| 30 | 30 |
| 40 | 40 |
| 50 | 50 |
| 60 | 60 |
| 70 | 70 |
| 80 | 80 |
| 90 | 90 |
| 100 | 100 |