Three-Phase Power Calculator
Convert between line voltage, current, real power (kW), apparent power (kVA) and power factor for a balanced three-phase system.
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How to use this calculator
- Choose what you know: voltage & current or voltage & power (kW).
- Enter the line-to-line voltage (e.g. 400 V) — the voltage measured between any two phases.
- Enter the line current in amps, or the real power in kW.
- Enter the power factor (0–1): about 0.9 for motors at full load, 1.0 for purely resistive loads.
- Read the current, real power (kW), apparent power (kVA) and reactive power (kVAR).
Three-phase power formulas
For a balanced three-phase load using the line-to-line voltage VL:
The same line-quantity formula works for both star (wye) and delta connections, because √3 already accounts for the phase-to-line relationship. Using phase quantities instead: P = 3 × Vphase × Iphase × PF.
Symbols and units
| Symbol | Meaning | Unit |
|---|---|---|
| VL | Line-to-line voltage | volts (V) |
| I | Line current | amps (A) |
| P | Real (active) power | kilowatts (kW) |
| S | Apparent power | kilovolt-amps (kVA) |
| Q | Reactive power | kVAR |
| PF | Power factor = P / S | 0 to 1 |
Quick reference: amps to kW at 400 V (three-phase)
How many kW a balanced three-phase load draws at 400 V:
| Current | kW at PF 0.8 | kW at PF 1.0 |
|---|---|---|
| 10 A | 5.5 | 6.9 |
| 16 A | 8.9 | 11.1 |
| 20 A | 11.1 | 13.9 |
| 25 A | 13.9 | 17.3 |
| 32 A | 17.7 | 22.2 |
| 40 A | 22.2 | 27.7 |
| 50 A | 27.7 | 34.6 |
| 63 A | 34.9 | 43.6 |
| 80 A | 44.3 | 55.4 |
| 100 A | 55.4 | 69.3 |
| 125 A | 69.3 | 86.6 |
| 160 A | 88.7 | 110.9 |
For 415 V multiply by 1.04; for 380 V multiply by 0.95.
Frequently asked questions
- What is the difference between kW and kVA?
- kW is real power (the part that does useful work); kVA is apparent power (the total the supply must deliver). They are linked by the power factor: kW = kVA × PF, and are equal only when PF = 1.
- How many kW is 100 A at 400 V three-phase?
- At PF 1.0 it is √3 × 400 × 100 ÷ 1000 ≈ 69.3 kW; at PF 0.8 it is about 55.4 kW.
- What power factor should I use?
- About 0.85–0.9 for induction motors at full load, lower for lightly loaded motors, and 1.0 for purely resistive loads such as heaters.
- Do I use line or phase voltage?
- Use the line-to-line voltage (e.g. 400 V) with the √3 formulas above. The √3 factor already converts between phase and line values for a balanced load.
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📐 Power Factor Correction
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