In three-phase power systems, the kVA to kW conversion uses the same formula as single-phase: kW = kVA × PF. The √3 factor is already included in the kVA rating for 3-phase equipment.
kW = kVA × PF. Same formula as single-phase — the 3Φ factor is embedded in kVA.
Three-phase delivers more power with less conductor material and smoother torque.
Industrial motors, commercial buildings, manufacturing plants, large HVAC systems.
The √3 factor affects amps and voltage, not the kVA-to-kW relationship.
The power factor relationship holds regardless of phase count.
For 3-phase: kVA = √3 × V × I ÷ 1000, but kW = kVA × PF remains the same.
Simple 3-step process.
Find the three-phase kVA rating on the equipment nameplate.
3-phase motors: 0.85–0.95, transformers: 0.80–0.90.
The result is real power in kW for the 3-phase system.
Real power output at various power factors.
| kVA (3Φ) | PF 0.80 | PF 0.85 | PF 0.90 | PF 0.95 | PF 1.00 |
|---|---|---|---|---|---|
| 10 | 8.0 | 8.5 | 9.0 | 9.5 | 10.0 |
| 25 | 20.0 | 21.3 | 22.5 | 23.8 | 25.0 |
| 50 | 40.0 | 42.5 | 45.0 | 47.5 | 50.0 |
| 100 | 80.0 | 85.0 | 90.0 | 95.0 | 100.0 |
| 250 | 200 | 213 | 225 | 238 | 250 |
| 500 | 400 | 425 | 450 | 475 | 500 |
| 1000 | 800 | 850 | 900 | 950 | 1,000 |
Industrial three-phase scenarios.
75 kVA 3-phase motor at PF 0.88:
75 × 0.88 = 66 kW
500 kVA transformer at PF 0.85:
500 × 0.85 = 425 kW
200 kVA building at PF 0.90:
200 × 0.90 = 180 kW
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Questions about three-phase power conversion.
No. kW = kVA × PF works for both single and three-phase. The √3 factor is in the kVA calculation, not the kW conversion.
kVA (3Φ) = √3 × V_LL × I ÷ 1000, where V_LL is line-to-line voltage and I is line current.
3-phase is more efficient, uses less copper, provides constant power delivery, and produces smoother motor torque.
Full load: 0.85–0.95. Half load: 0.70–0.85. No load: 0.10–0.30.
At PF 0.85: 100 × 0.85 = 85 kW. The actual kW depends on the connected load's PF.
No. Voltage affects current (amps) but not the kVA-to-kW relationship, which only depends on PF.