Enter the apparent power in kilovolt-amperes and the power factor into the calculator to determine the power in watts; this calculator can also evaluate any of the variables given the others are known.
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kVA To Watts Formula
The following formula is used to calculate the real power in watts (W) from the apparent power in kilovolt-amperes (kVA) and the power factor (PF).
P(\text{W}) = S(\text{kVA}) \times 1000 \times PFVariables:
- P is the real power in watts (W)
- S is the apparent power in kilovolt-amperes (kVA)
- PF is the power factor (unitless, typically between 0 and 1)
To calculate the power in watts, multiply the apparent power in kVA by 1000, then multiply by the power factor. (Equivalently, the real power in kW is P(kW) = S(kVA) × PF.)
| Apparent Power (kVA) | Watts (PF 0.80) | Watts (PF 0.90) | Watts (PF 1.00) |
|---|---|---|---|
| 0.5 | 400 | 450 | 500 |
| 1 | 800 | 900 | 1,000 |
| 1.5 | 1,200 | 1,350 | 1,500 |
| 2 | 1,600 | 1,800 | 2,000 |
| 2.5 | 2,000 | 2,250 | 2,500 |
| 3 | 2,400 | 2,700 | 3,000 |
| 5 | 4,000 | 4,500 | 5,000 |
| 7.5 | 6,000 | 6,750 | 7,500 |
| 10 | 8,000 | 9,000 | 10,000 |
| 12.5 | 10,000 | 11,250 | 12,500 |
| 15 | 12,000 | 13,500 | 15,000 |
| 20 | 16,000 | 18,000 | 20,000 |
| 25 | 20,000 | 22,500 | 25,000 |
| 30 | 24,000 | 27,000 | 30,000 |
| 37.5 | 30,000 | 33,750 | 37,500 |
| 40 | 32,000 | 36,000 | 40,000 |
| 50 | 40,000 | 45,000 | 50,000 |
| 60 | 48,000 | 54,000 | 60,000 |
| 75 | 60,000 | 67,500 | 75,000 |
| 100 | 80,000 | 90,000 | 100,000 |
| Formula: P(W) = S(kVA) × 1000 × PF. To get kW, divide Watts by 1000 (kW = kVA × PF). | |||
What is kVA To Watts?
kVA (kilovolt-ampere) and watts are both measures of electrical power, but they refer to different quantities in AC systems. kVA is a unit of apparent power (S), which combines real power (P, measured in watts) and reactive power (Q, associated with energy storage in inductors and capacitors). Reactive power does not perform net work, but it can be required by AC equipment (for example, to establish magnetic fields) and can affect currents and voltage regulation in a power system. The relationship between kVA and watts is set by the power factor: PF = P/S. If PF = 1, real power equals apparent power numerically when expressed in consistent units (for example, 1 kVA = 1 kW = 1000 W). If PF is less than 1, then the real power in watts is lower for the same kVA: P(W) = S(kVA) × 1000 × PF.
How to Calculate kVA To Watts?
The following steps outline how to convert kVA to watts:
- First, determine the apparent power in kVA (kilovolt-amperes).
- Next, determine the power factor (PF).
- Multiply the apparent power (kVA) by the power factor (PF) to get the real power in kilowatts (kW).
- Finally, calculate the power in watts by multiplying the real power (kW) by 1000.
Example Problem:
Use the following variables as an example problem to test your knowledge:
Apparent power (kVA) = 5
Power factor (PF) = 0.8
