Three-Phase Power Calculator

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Wye (star) connects each load to a common neutral point; Delta connects loads in a closed triangle. The relationship between line and phase quantities differs between them.
Choose which quantity to calculate. The remaining inputs change accordingly.
The voltage measured between any two line conductors (line-to-line). Common values: 208 V (US low-voltage), 400 V (European standard), 480 V (US industrial), 11 kV / 33 kV (medium-voltage distribution).
V
Current flowing in each supply conductor. In a Wye system this equals the phase current; in Delta it is the phase current multiplied by the square root of 3.
A
The cosine of the phase angle between voltage and current. Unity (1.0) means the load is purely resistive; motors and transformers typically have a lagging power factor of 0.7 to 0.95.
Apparent power (S)Good power factor
69.282kVA

Total power drawn from the supply, including both useful and reactive components

Real power (P)58.89kW
Reactive power (Q)36.497kVAR
Phase angle (φ)31.79°
Phase voltage (Vₚʰ)230.94V
Phase current (Iₚʰ)100A
S (kVA)69.282
P (kW)58.89
Q (kVAR)36.497

69.28 kVA apparent power in a balanced Wye (Star) system.

  • Your Wye (Star) circuit delivers 58.89 kW of real power out of 69.28 kVA of apparent power.
  • 36.50 kVAR of reactive power is circulating in the system, which stresses cables and transformers without doing useful work.
  • A power factor of 0.85 is good but has room for improvement. Capacitor banks can push it toward unity and cut losses.
  • The system is transferring 85.0% of apparent power as useful work. The remaining 15.0% is reactive overhead.

Next stepIf your power factor is below 0.9, consult an electrical engineer about capacitor bank sizing to reduce reactive demand charges.

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