Motor Supply & Energy Sizing SI · V · A · kW

The Motor Power Bench

Size the electrical supply that feeds a motor — full-load and starting current for an AC/VFD drive with the real power factor and efficiency losses, or DC battery runtime with Peukert derating and a safe depth-of-discharge margin.

1 Motor

2 Starting & supply

A VFD corrects input power factor near unity regardless of motor PF, cutting supply current.

NEC/IEC size feeders at 125% of motor FLA.

Results

Shaft power
kW mechanical
Input power
kW electrical
Apparent power
kVA (billed)
Full-load current
A per phase
Starting current
A inrush
Supply current
A at mains
Conductor rating
A (125%)
Reactive power
kVAR
Real (kW) vs reactive (kVAR) — the power triangle
Method & assumptions

Input from shaft. Nameplate power is shaft output; electrical input is P_in = P_shaft / η. The difference is heat in the motor.

Current. Three-phase full-load current I = P_in / (√3 · V · PF) (single-phase drops the √3). Apparent power S = P_in / PF in kVA is what the utility meters and often bills, so a poor PF costs money even though it does no work — Q = √(S²−P²) is the reactive part.

VFD effect. At the motor, current depends on mechanical load, not the supply method — a VFD doesn't cut full-load motor current. But on the input side a VFD's rectifier presents a near-unity power factor (~0.98), so the current drawn from the mains is lower than a motor connected direct-on-line at 0.86 PF.

Starting. Inrush is a multiple of FLA set by the starting method: 6–8× DOL, ~3× star-delta, 2–3× soft starter, 1–1.5× VFD. This governs breaker and contactor selection and voltage-dip at start.

Conductors. Codes size motor feeders at 125% of FLA for continuous duty. Final protection must follow NEC 430 / IEC 60364 and the nameplate.

The Motor Power Bench · preliminary electrical sizing — size protection and conductors per your governing electrical code and the motor nameplate.