Example 1. 5.5 kilowatt three phase motor, direct on line, 30 metres
A typical plant room motor on a 400 volt three phase supply, nameplate efficiency 0.88 and power factor 0.85, started direct on line, 30 metres of copper at 40 degrees Celsius.
| Rating, voltage, phase | 5.5 kW, 400 V, three phase |
|---|---|
| Efficiency, power factor | 0.88, 0.85 |
| Starting method | Direct on line, 6 x FLC |
| Cable length, ambient, drop limit | 30 m, 40 °C, 5 % |
Working
- Full load current: 5,500 / (400 x 1.732 x 0.88 x 0.85) = 10.61 A.
- Starting current: 10.61 x 6 = 63.66 A.
- Temperature factor at 40 degrees: 1.000.
- First size tried, 1.5 mm², carries 17 A, which is at or above 10.61 A.
- Running drop on 1.5 mm², resistance 14.48 milliohms per metre: 10.61 x 14.48 x 30 / 1,000 = 4.61 V, which is 1.15 percent of 400 V, inside the 5 percent limit, so 1.5 mm² is selected.
- Starting drop: 63.66 x 14.48 x 30 / 1,000 = 27.65 V, which is 6.91 percent, inside the 15 percent guideline.
- Breaker: next standard size at or above 10.61 A is 16 A, curve D because the start is direct on line.
- Contactor: next utilisation category 3 rating at or above 10.61 A is 12 A. Overload range: 10.61 x 0.8 to 10.61 x 1.15, giving 8.5 to 12.2 A.
Result. 10.61 amperes full load, 1.5 square millimetre copper, 16 ampere curve D breaker, contactor rated at or above 12 amperes, overload set between 8.5 and 12.2 amperes. Current capacity and both voltage drop checks pass; the breaker versus starting current line reports 16 against 63.66 and shows as a fail, which is expected for a direct on line start and is what the curve D selection exists to handle. The 1.5 square millimetre result is also a good example of why this is a first pass: termination size, mechanical protection, grouping with other circuits and the real three phase drop factor all push a practical selection higher.