Three-Phase Power Calculator — kVA, kW, Current & Power Factor

Enter line voltage, line current, and power factor to calculate apparent power, real power, reactive power, and the power triangle for any three-phase system.

Calculate kVA, kW, kVAR, phase voltage, and phase current for Wye or Delta systems. See the Three-Phase Power Guide for formulas, voltage levels, and field troubleshooting.

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Three-phase power formulas
QuantityFormulaUnits
Apparent powerS = √3 × VL × ILkVA (÷1000)
Real powerP = S × PFkW
Reactive powerQ = √(S² − P²)kVAR
Wye phase voltageVphase = VL / √3Volts
Delta phase voltageVphase = VLVolts
Wye phase currentIphase = ILAmps
Delta phase currentIphase = IL / √3Amps

VL = line voltage (L-L) · IL = line current · PF = power factor (0–1)

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Three-phase electrical tools

Clamp meters, multimeters, and voltage testers for measuring line current and verifying voltage before connecting loads.

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Fluke 117 digital multimeter

Fluke 117 Digital Multimeter Non-Contact AC Voltage

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  • Before connecting loads
  • True-RMS with non-contact detection
  • Industry standard for electricians
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Ideal 61-757 clamp meter

Ideal 61-757 600A AC/DC TRMS TightSight Clamp Meter

  • High-current measurement
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Klein Tools NCVT-6 voltage tester

Klein Tools NCVT-6 Non-Contact Volt Tester with Laser Distance

  • Quick voltage presence checks
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Square D QO120 breaker

Square D QO120 Miniature Circuit Breaker 20A

  • Reference breaker for panel work
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Apparent Power vs. Real Power

Apparent power (kVA) is what your conductors, breakers, and transformer must be sized to handle — it's the total current-carrying demand regardless of power factor. Real power (kW) is the portion of that doing actual useful work: turning motors, producing heat, generating light. The gap between them is reactive power (kVAR), which oscillates between the source and any inductive or capacitive loads without doing net work. A panel showing 100 kVA at 0.80 power factor is only delivering 80 kW of real output, but every wire upstream still has to carry the full 100 kVA worth of current.

Wye vs. Delta — Why the Toggle Matters

Selecting the correct system type changes how this calculator relates line and phase values. In a Wye system, phase voltage is line voltage divided by √3, and phase current equals line current directly. In a Delta system, phase voltage equals line voltage directly, and phase current is line current divided by √3. Confusing these relationships is the single most common error in three-phase fieldwork — always confirm your system type by measuring phase-to-neutral voltage before assuming a Wye configuration with an available neutral.

Reading Your Power Factor Result

Power factor below 0.85 commonly triggers demand charges or surcharges on commercial and industrial utility bills, since the utility must size its own infrastructure for the higher kVA demand even though only the kW portion is "useful" energy. Power factor correction capacitors installed near large motor loads cancel lagging reactive current and can bring a facility from 0.75–0.80 up to 0.95 or better, reducing both utility penalties and the heating losses in upstream conductors. If this calculator shows a PF angle above 25–30°, it's worth evaluating correction options.

Sizing Conductors and Breakers from These Results

Once you have line current from this calculator, conductor and breaker sizing follows NEC rules: continuous loads require conductors and breakers rated at 125% of the calculated current per NEC 210.19 and 210.20(A). For motor circuits, use the motor's nameplate FLA rather than a calculated current, and apply NEC 430.22 (125% for conductors) and NEC 430.52 (up to 250% for inverse-time breaker OCPD) instead of the general continuous-load rules. This calculator gives you the real-world current draw; the NEC articles tell you how to size protection around it.

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