Three Phase Power Calculator

Balance loads with quick three-phase calculations for cranes, pumps, and welders today. Get real, apparent, and reactive power results with exportable reports in seconds.

Calculator

All calculations assume a balanced three-phase load.
Use line-to-line voltage for three-phase systems.
Current is per line conductor in a balanced load.
Typical construction motors: 0.75–0.92.
Used when solving for current, voltage, or power factor.
Reset

Formula used

Balanced three-phase, using line-to-line voltage and line current.
  • Apparent power: S(kVA) = √3 × VL × IL / 1000
  • Real power: P(kW) = √3 × VL × IL × PF / 1000
  • Reactive power: Q(kVAR) = √(S² − P²) (or √3 × VL × IL × sinφ / 1000)
  • Solving for current: I = (P×1000) / (√3 × V × PF)
  • Solving for voltage: V = (P×1000) / (√3 × I × PF)
  • Solving for PF: PF = (P×1000) / (√3 × V × I)

How to use this calculator

  1. Select what you want to solve for.
  2. Enter line-to-line voltage and line current when available.
  3. Enter power factor for power calculations, or provide target kW for solve modes.
  4. Click Calculate to show results above the form.
  5. Use Download CSV or Download PDF after a calculation.

Example data table

Line Voltage (V) Line Current (A) Power Factor Real Power (kW) Apparent Power (kVA) Reactive Power (kVAR)
400 32 0.85 18.84 22.17 11.68
480 50 0.90 37.41 41.57 18.79
415 20 0.80 11.50 14.38 8.65
Values are rounded for display.

Three-phase power planning for construction projects

1) Why three-phase power is common onsite

Most heavy construction equipment relies on three-phase supply because it delivers steadier torque and higher power density than single-phase circuits. Cranes, hoists, concrete pumps, elevators, compressors, and larger welders typically operate more efficiently on balanced three-phase loads. Knowing expected kW, kVA, and kVAR helps you select safe feeders, protection settings, and temporary power gear.

2) Confirm the correct voltage reference

Three-phase calculations usually use line-to-line voltage, not phase-to-neutral voltage. Common site voltages include 400 V, 415 V, 480 V, and 600 V. If you measure at a panel, record line-to-line values under load, because long cable runs and inrush events can create noticeable voltage drop. Accurate voltage improves current and capacity estimates.

3) Current input and balancing assumptions

The calculator assumes a balanced load, so the entered current is treated as the line current on each conductor. In practice, uneven distribution across phases increases neutral and conductor heating in mixed systems. If you suspect imbalance, measure current on all three phases and use the highest value for conservative sizing, then investigate load distribution at the subpanel or distribution board.

4) Understanding kW versus kVA

Real power (kW) is the portion that performs useful work, such as lifting, pumping, or compressing. Apparent power (kVA) represents the total electrical demand the source must supply. Generators and transformers are typically rated in kVA, while equipment output is often discussed in kW. A lower power factor increases kVA for the same kW.

5) Reactive power and power factor correction

Reactive power (kVAR) is associated with magnetic fields in motors and transformers. High kVAR demand can overload sources, raise current, and increase losses. Improving power factor with capacitors or properly sized variable-frequency drives can reduce kVA demand, lower line current, and improve voltage stability. Track kVAR trends during peak operations for better planning.

6) Sizing generators, transformers, and feeders

For reliable operation, size sources for the expected kVA plus a margin for starting currents and simultaneous loads. Motors may draw multiple times rated current during startup. Use the computed line current to validate cable ampacity, connector ratings, and protective device settings. When voltage drop is a concern, consider larger conductors or shorter temporary runs.

7) Efficiency as a practical adjustment

Efficiency is useful when you want to compare electrical input to mechanical output. For example, a motor might consume a higher electrical kW than the shaft delivers. By applying an efficiency estimate, you can approximate delivered power and compare it to equipment requirements. This supports realistic budgeting for fuel, energy costs, and heat dissipation.

8) Documenting calculations for crews and audits

Clear documentation reduces field mistakes. Exported results provide a quick record of voltage, current, power factor, and power values used for sizing decisions. Keep these reports with temporary power plans, generator load schedules, and commissioning notes. Consistent records help troubleshoot nuisance trips, verify capacity during equipment changes, and communicate constraints across shifts.

FAQs

1) What does √3 represent in three-phase formulas?

It comes from the phase relationship in a balanced three-phase system. Converting per-phase power to total power using line-to-line voltage and line current introduces the √3 factor.

2) Should I use line-to-line or phase-to-neutral voltage?

Use line-to-line voltage for standard three-phase power calculations. Phase-to-neutral is mainly used for single-phase loads connected to a three-phase system.

3) Why does kVA stay high when power factor is low?

Low power factor increases current for the same useful kW. Since kVA depends on voltage and current, apparent power rises even if real work output is unchanged.

4) Can this calculator handle unbalanced loads?

It assumes balanced conditions. For unbalanced systems, measure each phase current separately, check neutral loading where applicable, and size conductors and protection based on worst-case values.

5) How do I estimate motor starting impact?

Use equipment data for locked-rotor current or starting kVA. Compare that to source capability and consider soft starters or drives to reduce inrush and voltage sag.

6) What power factor should I enter if I do not know it?

For a conservative estimate, use 0.8 for motor-heavy loads. If you have a meter reading, use the measured value under typical operating conditions.

7) When should I apply efficiency in the calculation?

Apply efficiency when you want an estimated delivered output from an electrical input. Leave it off when you are sizing upstream electrical infrastructure based on input demand.

Plan safer three-phase systems with confidence every day onsite.

Related Calculators

Watts to amps calculatorVolts to amps calculatorVolts to watts calculatorOhms to watts calculatorCapacitor sizing calculatorReactive power calculatorApparent power calculatorTrip curve calculatorProspective fault calculatorGround fault current calculator

Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.