Motor Locked-Rotor Starting Current

Also known as locked rotor amps · LRA · motor inrush current · starting current · code letter kVA per horsepower · across the line starting current

ILR=1000kP3VI_{LR} = \frac{1000 \, k \, P}{\sqrt{3} \, V}

Enter your known values, leave one input blank, and solves for the missing one. Try different units for next level excitement!

Learning zone

At the instant of starting, an induction motor is a transformer with a shorted secondary. The rotor is not moving, no back-EMF opposes the supply, and the only thing limiting current is the winding impedance — so the motor pulls somewhere between five and eight times its full-load current until it accelerates. Manufacturers state this on the nameplate as a code letter, which stands for a range of locked-rotor kilovolt-amperes per horsepower. Look the letter's kVA/hp value up in your own code book, enter it here, and the arithmetic is straightforward: multiply by the horsepower to get locked-rotor kVA, then divide by √3 V to get amps. A 25 hp, 460 V motor at 6.3 kVA/hp draws about 198 A to start against roughly 30 A running.

What that inrush actually does is sag the voltage — momentarily, but sometimes visibly, and occasionally enough to drop out a contactor elsewhere on the panel or to stall the motor that caused it. The current is also strongly reactive at that instant, with a power factor down around 0.2, so it is nearly pure magnetizing current doing no work at all. This is the number that sizes soft starters, decides whether a wye-delta or autotransformer starter is worth the panel space, and, more than any running load, sizes a generator on a site with big motors.

Two cautions. The kVA/hp figure is a range per letter, and the code table gives a band, not a point — use the top of the band when the consequence of being wrong is a nuisance trip. And do not use this number for overload protection or conductor sizing: those follow the code's own tables and rules, which are built to let the inrush pass while still protecting the machine. Locked-rotor current tells you about the moment of starting; it says nothing about the hour that follows.

Motor Locked-Rotor Starting Current
ILR=1000kP3VI_{LR} = \frac{1000 \, k \, P}{\sqrt{3} \, V}
ILRItMVP
Where
  • ILRI_{LR}= Locked-rotor current (A)
  • kk= Locked-rotor kVA per horsepower (kVA/hp)
  • PP= Motor rating (hp)
  • VV= Line-to-line voltage (V)