Three phase power, current, kVA, HP, and load planning

3 Phase Calculator

A 3 Phase Calculator solves three phase power, apparent power, current, power factor, horsepower, load, and cable planning values. Enter line voltage, current, power factor, KVA (Kilovolt-ampere), or horsepower to calculate real power, reactive power, apparent power, phase current, voltage drop, and balanced three phase circuit results.

Core formulas: kW = 1.732 x V x A x PF / 1000, kVA = 1.732 x V x A / 1000, and Amps = Watts / (1.732 x V x PF).

Live 3 Phase Calculator
three phase power calculator
RESULT 4 kV and 462 A = 3.20 MW at PF 1

Uses watts = 1.732 x line voltage x current x power factor.

3 Phase Calculator

A three phase calculator finds power, current, voltage, apparent power, real power, reactive power, and power consumption in a three phase circuit. Use the calculator for AC power calculation, three phase current checks, voltage drop calculation, motor sizing, transformer rating verification, and power factor correction planning.

voltage inputcurrent inputpower factor inputdisplay screen

Electrical engineering references such as IEEE 3000 Standards Collection, National Electrical Code (NEC), Schneider Electric, Siemens, ABB, Eaton, Fluke Corporation, Omni Calculator, RapidTables, Electrical4U, and All About Circuits commonly separate real power, apparent power, and reactive power for three phase circuit analysis.

3 Phase Calculator Formula

The main 3 phase calculator formula is P = 1.732 x V x I x PF. P is active power or real power in watts, V is line-to-line voltage, I is line current in amperes, and PF is power factor. Apparent power calculation uses S = 1.732 x V x I.

Real PowerP = 1.732 x V x I x PF Apparent PowerS = 1.732 x V x I Reactive PowerQ = square root(S^2 - P^2)

3 Phase Calculation Formula

The 3 phase calculation formula changes with line-to-line voltage, line-to-neutral voltage, star connection, and delta connection. For line-to-line voltage, use 1.732 x VLL x I x PF. For line-to-neutral voltage in a balanced star connection, use 3 x VLN x I x PF.

Line-to-line voltage1.732 x VLL x I x PFLine-to-neutral voltage3 x VLN x I x PF

How to Calculate 3 Phase Power Calculator

To calculate 3 phase power, enter line voltage, current, and power factor, then multiply the three values by 1.732. For a motor working voltage of 4 kV and current of 462 A at PF 1, power = 1.732 x 4000 x 462 = 3,200,824 W, or 3.20 MW.

Measureline voltage currentEnterPF and phaseCalculatekW, kVA, kVAR

3 Phase Power Calculator Formula

The 3 phase power calculator formula for kilowatts is kW = 1.732 x V x A x PF / 1000. This formula gives active real power delivered to a balanced motor, heater bank, transformer load, generator output, or production machine.

Known ValuesFormulaResult Unit
Volts, amps, PF1.732 x V x A x PFWatts
Volts, amps1.732 x V x A / 1000kVA
kW, volts, PFkW x 1000 / (1.732 x V x PF)Amps

Total 3 Phase Power Formula

Total 3 phase power equals the sum of power in all three phases. For a balanced load, total power = 3 x phase voltage x phase current x PF. The same result is total power = 1.732 x line voltage x line current x PF.

Ptotal = PA + PB + PCBalanced: 3 x Vphase x Iphase x PF

3 Phase Power Calculation Formula

The 3 phase power calculation formula can calculate real power, apparent power, and reactive power. Apparent power is measured in KVA, real power is measured in kW, and reactive power is measured in kVAR. Reactive power causes circulating current in inductive and capacitive AC circuit loads.

Power TrianglekVA^2 = kW^2 + kVAR^2 Power FactorPF = kW / kVA Reactive PowerkVAR supports magnetic fields

Advantages of reactive power include magnetic field support in motors and transformers. Too much reactive power increases current, voltage drop, conductor heating, and power factor penalties.

3 Phase Power Calculation Example

A 4 kV, 462 A three phase circuit delivers 3,200,824 W at power factor 1. The calculation is 1.732 x 4000 V x 462 A x 1 = 3,200,824 W. At PF 0.90, active power is 2,880,742 W, or 2.88 MW.

1.732 x 4 kVx 462 Ax 0.90 PF2.88 MW

3 Phase Calculation Examples

3 phase calculation examples help compare current, voltage, kW, KVA, and power factor values. Use the table for quick checks before using a Fluke 3-Phase Power Analyzer, Siemens 3-Phase Calculator, Schneider Electric Power Calculator, or field measurement process.

VoltageCurrentPFReal PowerApparent Power
400 V16 A1.0011.09 kW11.09 kVA
480 V30 A0.8521.20 kW24.94 kVA
4 kV462 A0.902.88 MW3.20 MVA

Calculate 3 Phase Power Calculator

Calculate 3 phase power by choosing the known variables, entering voltage and current, and selecting a power factor. The calculation algorithm returns active power, apparent power, energy cost, and estimated power consumption. Add phase angle input when the power factor is known as cosine phi.

InputV, A, PFProcessformula selectionOutputkW, kVA, amps

How Do You Calculate 3 Phase Power Per Phase

Calculate 3 phase power per phase by dividing balanced total power by 3. For an unbalanced load, calculate each phase separately with phase voltage, phase current, and power factor, then add the three results.

Balanced: Ptotal / 3Unbalanced: PA + PB + PC

3 Phase kW Calculator With Amps

A 3 phase kW calculator with amps uses kW = 1.732 x V x A x PF / 1000. This is the most common three phase calculator kW to amps and amps to kW workflow.

3 Phase Power Calculator kVA to Amps

A 3 phase power calculator kVA to amps uses amps = kVA x 1000 / (1.732 x volts). Use this for transformer rating, generator sizing, and apparent power calculation.

3 Phase Power Calculator HP to Amps

A 3 phase power calculator HP to amps converts horsepower to watts, then divides by voltage, 1.732, efficiency, and power factor. Use watts = HP x 746 before current calculation.

3 Phase Cable Size Calculator

A 3 phase cable size calculator uses current, voltage drop, conductor material, installation method, cable ampacity derating factors, and overcurrent protection coordination. Final cable selection must follow NEC, IEC, BS7671, or local rules.

3 Phase Load Calculator Power

A 3 phase load calculator power tool totals motor load, heater load, transformer load, generator load, and demand factor adjustment. Load balancing reduces neutral current imbalance, voltage imbalance, and energy cost allocation errors.

How to Calculate 3 Phase Horsepower

Calculate 3 phase horsepower by dividing output watts by 746. For motor input current, calculate input watts first, then multiply by efficiency to estimate shaft horsepower.

How Much Copper Is in a 3 Phase Motor Calculator

A copper estimate for a 3 phase motor needs motor frame size, winding design, slot fill, wire gauge, and stator data. A power calculator cannot determine copper weight alone; use manufacturer winding data or a teardown measurement for an accurate result.

3 Phase Calculator FAQs
What is the fastest 3 phase current formula?

The fastest 3 phase current formula is amps = watts / (1.732 x volts x power factor). Use line-to-line voltage for standard balanced three phase loads.

What is the difference between delta and wye configuration?

Delta configuration connects phase windings in a closed loop, while wye or star connection joins one end of each phase at a neutral point. Delta vs Wye configuration changes voltage relationships and neutral availability.

What is apparent power in three phase power?

Apparent power is total voltage-current capacity in KVA. Real power does useful work in kW, and reactive power supports magnetic and electric fields in kVAR.

Does power factor correction reduce current?

Yes, power factor correction can reduce line current for the same real power. Lower current reduces voltage drop, conductor heating, transformer loading, and utility penalties.