Skip to content
Advertisement
Hosinger Special Offer

3-Phase Power Calculator

3-Phase Power Calculator from Gizcalc helps you estimate results quickly within the Engineering category.

  • Instant results
  • Charts & tables
  • Save & compare
  • Private – runs in your browser
Result —

Sample inputs are pre-filled so you can see a result quickly. Results are estimates only and may not be accurate because prices, interest rates, taxes, fees, fuel costs, tariffs, market returns, medical costs, and local rules can change. Please verify current values before making financial, tax, legal, medical, or business decisions.

Formula used

P (kW) = √3 × V_L × I_L × PF ÷ 1,000

  • I_L from power = P × 1,000 ÷ (√3 × V_L × PF)
  • Phase voltage (star) = V_L ÷ √3 (≈ 240 V on a 415 V system)

About the 3-Phase Power Calculator

What is the 3-Phase Power Calculator?

Industrial and commercial supplies in India are usually 415 V three-phase. This 3-phase power calculator converts between line current and kilowatts using the √3 factor.

Use it to find the power of a running load from a clamp-meter reading, or the current a new machine will draw so you can size cables and breakers.

How to use the 3-Phase Power Calculator

  1. Find (sample: Power from current)
  2. Line Voltage (V) (sample: 415)
  3. Line Current (A) (sample: 20)
  4. Load (kW) (sample: 10)
  5. Power Factor (sample: 0.85)
  6. Press Calculate 3-Phase Power (results also refresh as you type). The result card shows the Result, along with Real power, Apparent power, Reactive power and Line current.

Formula used

P (kW) = √3 × V_L × I_L × PF ÷ 1,000

  • I_L from power = P × 1,000 ÷ (√3 × V_L × PF)
  • Phase voltage (star) = V_L ÷ √3 (≈ 240 V on a 415 V system)

The formula uses line (phase-to-phase) voltage and line current for both star and delta loads.

Worked example

These are the sample values already filled in the calculator above, and the result it returns for them:

InputSample value
FindPower from current
Line Voltage (V)415
Line Current (A)20
Load (kW)10
Power Factor0.85
ResultValue
Result12.22 kW
Real power12.22 kW
Apparent power14.376 kVA
Reactive power7.573 kVAR
Line current20 A
Phase voltage (star)239.6 V

Tips for using the 3-Phase Power Calculator

  • Measure all three phases; unbalanced loads draw different currents.
  • A 10 kW motor load at 0.85 PF on 415 V draws about 16.4 A per phase.

Frequently asked questions

Multiply √3 × voltage × current × power factor. 400 V × 10 A × 1.732 × 1.0 = 6.93 kW.

At 415 V and 0.85 PF, about 16.4 A per line.

It is the line voltage of the standard 240 V per phase, three-phase, four-wire distribution system.