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Three-phase power and current: kW, kVA and hp to amps

Enter power and voltage to get current, or a measured current to get power, for single-phase, line-to-line or three-phase loads, with power factor, efficiency and winding connection.

Pre-sizing and estimating tool: results do not replace design, calculations or reports signed by a licensed professional, nor verification against the applicable codes and standards.

Pre-sizing
System

For motors, the nameplate rating is mechanical, at the shaft. The calculator divides by efficiency to get the power the motor draws from the supply.

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Current versus power factor

Line current for the same real power, with power factor from 0.5 to 1.0.

Tap the chart to see the values.

The same power on each system

Current for the same real power connected line-to-neutral, line-to-line and three-phase on the same system.

Tap the chart to see the values.

Next step

Take this page’s results to another calculator with the fields already filled in.

The calculation report gathers this page's inputs, results, equations, assumptions and references, with fields for project, engineer and revision. The full report also includes the charts and interpretations, in color. In the print dialog, choose Save as PDF.

Method, assumptions and references

Equations used

Electrical power: P = P_shaft ÷ η (motor); 1 hp = 0.7457 kW; 1 metric hp = 0.7355 kW; S = P ÷ PF; Q = P · tan φ
Current: three-phase I = S ÷ (√3 · V_line); line-to-line I = S ÷ V_line; single-phase I = S ÷ V_line-neutral
Wye: V_winding = V_line ÷ √3, I_winding = I_line; delta: V_winding = V_line, I_winding = I_line ÷ √3; Z = V_winding ÷ I_winding

Assumptions and limits

  • Sinusoidal voltages and balanced three-phase load; harmonics are not considered. Efficiency and power factor taken at the point entered.
  • For motors, nameplate current may differ slightly from the result because the manufacturer uses actual efficiency and PF. For NEC conductor and protection sizing, use the Table 430.250 current.

Standards and technical documents

  • IEC 60050-131 e IEC 60050-141: International Electrotechnical Vocabulary — circuit theory and polyphase systems
  • IEC 60034-1: Rotating electrical machines — Rating and performance
  • IEEE Std 1459-2010: Definitions for the Measurement of Electric Power Quantities
  • NFPA 70, National Electrical Code 2023, Tables 430.248 and 430.250

U.S. regulations

  • NFPA 70 (NEC) as adopted by state and local jurisdictions
  • ANSI C84.1: Electric Power Systems — Voltage Ratings (60 Hz)
  • OSHA 29 CFR 1910 Subpart S: electrical safety

Frequently asked questions

How do I calculate three-phase motor current?

Divide electrical power by √3 times voltage times power factor: I = P ÷ (√3 × V × PF). For a motor, electrical power is the rating divided by efficiency. In the example, 50 hp is 37.3 kW at the shaft; at 94.1% efficiency and 0.86 PF on 480 V, current is 55.4 A.

What is the difference between hp, metric hp and kW?

They are all power units. 1 hp is 745.7 W and 1 metric hp (CV or PS) is 735.5 W, about 1.4% less. On a motor nameplate, hp and kW are mechanical, shaft power; to find what the motor draws from the supply, divide by efficiency.

What is kVA and why is it different from kW?

kW is real power, which does work and shows on the energy bill. kVA is apparent power, which includes the reactive power used to magnetize motors and transformers. kW = kVA × power factor. Conductors, breakers and transformers are sized by kVA, since it sets the current.

What changes between wye and delta?

The voltage and current in each winding. In wye, each winding sees line voltage ÷ √3 and carries line current; in delta, line voltage and line current ÷ √3. In the delta example, each winding sees 480 V and carries 32.0 A while the line carries 55.4 A. Total power does not change.

How do I get power from a measured current?

Choose power from current, enter the clamp-meter current, voltage and power factor. The calculator returns kW, kVA and kvar and, with efficiency, shaft power. Without a power analyzer, use nameplate PF; the result is approximate, especially at light load.

Why does the NEC use table currents instead of this formula?

NEC 430.6 requires motor branch-circuit conductors and protection to be sized from Tables 430.247 to 430.250, which are conservative values. For a 50 hp, 460 V three-phase motor the table gives 65 A, above the 55.4 A this formula gives for a premium motor at 480 V.

What are the limits of this calculator?

It assumes sinusoidal voltage and a balanced load. It does not handle harmonics from drives and electronic supplies, nor phase unbalance. For motors, the manufacturer nameplate current is the reference for overloads.