Results

400 V three-phase, 32 A per line at PF 0.9 → 19.95 kW real, 22.17 kVA apparent. Each star winding sees 231 V and 32 A.
Real power
19.95kW
32 A at 400 V, PF 0.9
Line current
32A
Apparent power
22.17kVA
Reactive power
9.66kVAr
Phase voltage
230.9V
V_ph = V_L ÷ √3
Phase (winding) current
32A
I_ph = I_L
Impedance per phase
7.22Ω
Motor shaft output
18.36kW
24.6 hp at 92% efficiency
Suggested breaker (≥125%)
40 A
continuous-load rule of thumb; check local code
Single-phase equivalent
96A at 230 V
why big loads use three phases
Instantaneous phase voltages over one cycle
Current for the same 20 kW at standard voltages

Standard three-phase voltages

Line-to-line (V)Phase, star (V)Typical useAmps for 20 kWkW per 100 A
208120US commercial61.532.4
230133old IEC / Japan55.735.9
400231Europe, IEC3262.4
415240UK, Australia30.864.7
480277US industrial26.774.8
600346Canada21.393.5
690398industrial / wind18.6107.6
3,3001,905MV motors3.9514.4
6,6003,811MV1.91,028.8
11,0006,351MV distribution1.21,714.7
20,00011,547MV distribution0.63,117.7
33,00019,053MV / wind farm collector0.45,144.2
  • Balanced load assumed (equal current in all three lines). For unbalanced loads compute each phase separately: P = Σ V_ph · I_ph · cos φ.
  • Star: line voltage = √3 × phase voltage, line current = phase current. Delta: line voltage = phase voltage, line current = √3 × phase current. Total power is the same formula either way.
  • Breaker size is a rough guide (125% of continuous current). Cable size, length, installation method and local regulations decide the real protection.

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