Calculate induction motor full load current from the nameplate rating, with starting current for direct-on-line, star-delta, auto-transformer, soft starter and VFD starting. Also returns full load torque, synchronous speed, slip, reactive power and a recommended protective device rating.
| Symbol | Meaning | Unit |
|---|---|---|
| Pshaft | Rated mechanical output on the nameplate | W |
| Pin | Electrical input power | W |
| η | Efficiency at full load | — |
| IL | Full load line current | A |
| S | Apparent power | VA |
| Q | Reactive power drawn | VAr |
| T | Full load shaft torque | N·m |
| Ns | Synchronous speed of the rotating field | rpm |
| n | Rated rotor speed at full load | rpm |
| p | Number of poles | — |
| s | Slip | % |
| SF | Service factor | — |
| ISM | Locked rotor current multiple | — |
A 75 kW cage induction motor runs on a 415 V three-phase 50 Hz supply. The nameplate gives 0.86 power factor, 94 % efficiency, 1480 rpm rated speed and a locked rotor multiple of 6. It is started direct on line with a service factor of 1.0.
| Method | Starting current | Starting torque | Typical use |
|---|---|---|---|
| Direct on line | ISM × IL, i.e. 5–8× | 150 % of rated | Small motors, stiff supply |
| Star-delta | ISM × IL / 3 | 50 % of rated | Light or unloaded starts (fans, pumps) |
| Auto-transformer | ≈ 0.42 × DOL at 65 % tap | 42 % of rated | Where torque must be tuned by tap |
| Soft starter | ≈ 2–3 × IL | 100 % of rated | Belt drives, conveyors, shock-sensitive loads |
| Variable frequency drive | ≈ 1 × IL | 150 % of rated | Speed control, highest cost |
| Poles | Ns at 50 Hz | Typical rated speed | Ns at 60 Hz | Typical rated speed |
|---|---|---|---|---|
| 2 | 3000 rpm | 2900–2950 | 3600 rpm | 3480–3540 |
| 4 | 1500 rpm | 1440–1480 | 1800 rpm | 1730–1770 |
| 6 | 1000 rpm | 950–980 | 1200 rpm | 1150–1175 |
| 8 | 750 rpm | 710–735 | 900 rpm | 860–880 |
| 10 | 600 rpm | 570–590 | 720 rpm | 690–710 |
| 12 | 500 rpm | 475–490 | 600 rpm | 575–590 |
| Rating | Efficiency | Power factor | FLC at 415 V |
|---|---|---|---|
| 1.5 kW | 82.8 % | 0.80 | 3.15 A |
| 3.7 kW | 88.1 % | 0.83 | 7.04 A |
| 7.5 kW | 90.4 % | 0.85 | 13.58 A |
| 15 kW | 92.1 % | 0.86 | 26.34 A |
| 30 kW | 93.6 % | 0.86 | 51.83 A |
| 55 kW | 94.6 % | 0.86 | 94.02 A |
| 75 kW | 95.0 % | 0.86 | 127.70 A |
| 132 kW | 95.6 % | 0.87 | 220.61 A |
| 200 kW | 96.2 % | 0.87 | 332.28 A |
For a three-phase motor, full load current equals the electrical input power divided by √3 times the line voltage times the power factor. The important step is that rated kW on the nameplate is shaft output, not electrical input, so it must first be divided by efficiency. A 75 kW motor at 94 % efficiency draws 79.79 kW electrically, and at 415 V with a power factor of 0.86 that gives 129.07 A. Using the shaft rating directly would under-read the current by about 6 %.
A direct-on-line induction motor draws roughly five to eight times full load current at the instant of starting, because at standstill the rotor acts as a short-circuited secondary. The exact multiple is the locked rotor current on the nameplate, often shown as the code letter or as an ISM value. Star-delta reduces this to one third, an auto-transformer at a 65 % tap to about 42 %, a soft starter to roughly two to three times full load current, and a variable frequency drive to about full load current.
Slip is the difference between synchronous speed and actual rotor speed, expressed as a percentage of synchronous speed. Synchronous speed equals 120 times the supply frequency divided by the number of poles, so a four-pole motor on 50 Hz has a synchronous speed of 1500 rpm. A nameplate speed of 1480 gives a slip of 1.33 %. Typical full load slip is one to five percent, with smaller motors sitting at the higher end.
Two conventions are in common use. IEC practice sizes the protective device at about 125 % of full load current, relying on a separate overload relay for thermal protection. The NEC allows an inverse-time breaker up to 250 % of full load current for a design B motor under article 430.52, because the device must ride through the starting inrush without tripping. Whichever you use, the final selection must be checked against the actual trip curve and the starting current and time.
Service factor is a multiplier showing how far above nameplate rating a motor may be operated continuously without damage. A service factor of 1.15 means the motor can deliver 115 % of rated power indefinitely, though at reduced efficiency, higher temperature rise and shortened insulation life. Cables and overload relays should be sized on the service factor current rather than the nameplate current, since that is the highest continuous current the circuit may actually see.
Results are for estimation and preliminary design. Protective device selection requires trip curve coordination against the actual starting current and time per NEC 430 or IEC 60947. Verify against the motor nameplate and a qualified engineer before construction.
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