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Motor rated current, breakers and cables — the basics (kW to amps)

The kW-to-amps formula for motors, why it differs from the nameplate current, starting current, and the IB ≤ In ≤ IZ rule for breakers and cables.

Tools for this guideModbus Master Windows program · freeMotor Current Calculator web · no installVoltage Drop & Wire Size Calculator web · no install

The kW (or HP) on a motor nameplate is the mechanical output at the shaft, not the power the motor draws. Output alone does not give the current — you also need efficiency and power factor. Breakers, cables and overload relays are set from the nameplate rated current; the calculation is for when there is no nameplate or to check one.

Formulas

Three-phase:  I = P ÷ (√3 × V × η × cos φ)
Single-phase: I = P ÷ (V × η × cos φ)
DC:           I = P ÷ (V × η)
  P: rated output (W), V: voltage (line-to-line for three-phase), η: efficiency, cos φ: power factor

This combines «input power = √3 × V × I × cos φ» with «efficiency = output ÷ input» (ABB Technical guide No. 7, eq. 3.15 and 3.16). Turned around, nameplate output, voltage, current and power factor give the efficiency; ABB's example (37 kW, 380 V, 71 A, cos φ 0.85) works out to about 0.931.

Motor current chain: 7.5 kW output ÷ efficiency 0.9 = 8.33 kW input ÷ power factor 0.85 = 9.80 kVA ÷ (√3 × 380 V) = 14.9 A line current
Divide shaft output by efficiency, power factor and voltage to get the current. The efficiency and power factor are examples.

How much efficiency and power factor matter (three-phase 7.5 kW)

VoltageEfficiencyPower factorCurrent
380 V0.900.8514.90 A
380 V0.870.8215.97 A
380 V0.920.8714.24 A
380 V0.900.7516.88 A
220 V0.900.8525.73 A
440 V0.900.8512.86 A

A few percent of efficiency or power factor moves the current of the same 7.5 kW motor by 1–2 A. Both vary with size, poles and efficiency class, so «amps per kW» rules of thumb are only rough.

Why trust the nameplate over the calculation

Starting current

Breakers and cables: the two conditions

Current scale showing IB (design current) ≤ In (device rating) ≤ IZ (cable capacity), and I2 (current ensuring operation) no more than 1.45 × IZ
Design current ≤ device rating ≤ cable capacity, and the current that ensures operation ≤ 1.45 × cable capacity.
IB ≤ In ≤ IZ
I2 ≤ 1.45 × IZ
  IB: design current of the circuit   In: rated current of the protective device (setting, if adjustable)
  IZ: current-carrying capacity       I2: current ensuring effective operation within the conventional time

These are the overload coordination conditions of IEC 60364-4-43, as adopted in the Korean code (KEC 212.4.1). For a single motor, IB is the motor's rated current. In must be at least IB so normal running does not trip, and no more than IZ so the cable is protected. I2 comes from the device maker or its product standard.

Where IZ comes from

Read the running current over the bus

Drives publish their output current, and power meters the current they measure, as Modbus registers — for example 0x0310 on the LS S300 (output current, 0.1 A units) and 0026H on the YASKAWA A1000 (output current, scaling depends on the model). Comparing the running current with the nameplate tells you how loaded the motor is.

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Published 2026-10-23