kVA calculator
Line-to-neutral or 240
Per line
0.8 is the usual assumption for mixed motor loads
- Real powerkVA × PF
- 19.20 kW
- Reactive power√(kVA² − kW²)
- 14.40 kvar
- Line currentkVA × 1000 ÷ 240 V
- 100.0 A
- Next common transformer ratingcommon dry-type catalogue sizes, not a code table
- 25 kVA
Transformers and generators are rated in kVA because heating depends on current, not on the power factor of what is plugged in. Sizing a transformer also needs the load calculation of Article 220 and the 450.3 protection table; this page is the arithmetic only.
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Transformers, generators and services are rated in kilovolt-amperes because heating follows current, not the power factor of the load. Give volts and amps, or kilowatts and a power factor, and read the kVA, the real and reactive power, the line current and the next common transformer size. Sizing a transformer also needs the Article 220 load calculation and the 450.3 protection table; this is the arithmetic.
Worked examples
- 240 V, 100 A single-phase
- 24 kVA. At PF 0.8 that is 19.2 kW and 14.4 kvar; a 25 kVA transformer is the next standard size. Open this run
- 480 V, 100 A three-phase
- √3 × 480 × 100 ÷ 1000 = 83.1 kVA; a 112.5 kVA three-phase transformer is the next common rating. Open this run
- 100 kW at PF 0.8
- 125 kVA and 75 kvar. Improving the power factor to 0.95 brings the same 100 kW down to 105 kVA. Open this run
- Generator: 7.5 kW at PF 0.8, 240 V
- 9.4 kVA and 39 A. Most portable generators are rated in watts at PF 1; standby units in kW at 0.8. Open this run
How it is worked out
kVA = V × I ÷ 1000 (single-phase) or √3 × V × I ÷ 1000 (three-phase, V line-to-line). kVA = kW ÷ PF. kW = kVA × PF. kvar = √(kVA² − kW²). I = kVA × 1000 ÷ V or ÷ (√3 × V).
The transformer list (1 to 1000 kVA) is the common dry-type catalogue sizes, not a code table.
The figures behind it
- Apparent power
- S = V × I, P = S × PF, Q = √(S² − P²); arithmetic, no table.
Questions people ask
- How many amps is a 25 kVA transformer?
- Single-phase at 240 V: 25,000 ÷ 240 = 104 A. Three-phase at 208 V: 25,000 ÷ (√3 × 208) = 69 A per line.
- kVA or kW for a generator?
- Generators carry both: the kVA is the alternator’s current limit, the kW the engine’s. At PF 0.8 a 10 kVA set delivers 8 kW. Size on the larger of the load’s kVA and kW needs.
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