Example.—A certain circuit supplies 20 kw. to motors at 220 volts and .8 power factor. What is the apparent current?
| true watts | 20,000 | ||
| Apparent Current = | ————————— = | ———— = | 113.6 amperes |
| power factor × volts | .8 × 220 |
Ques. What else, besides power factor, should be considered in making wire calculations for motor circuits?
Ans. The efficiency of the motor, and the heavy starting current.
The product of the efficiency of the motor multiplied by the power factor gives the apparent efficiency, which governs the size of the wires, apparatus, etc., necessary to feed the motors.
Allowance should be made for the heavy starting current required for some motors to avoid undue drop.
Single phase | Two phase four wire | Three phase three wire | ||||||||
| Horse power | 110 volts | 220 volts | 440 volts | 110 volts | 220 volts | 440 volts | 110 volts | 220 volts | 440 volts | 550 volts |
| .5 | 6.6 | 3.4 | 1.8 | 3.3 | 1.7 | .9 | 3.7 | 1.8 | 1 | |
| 1 | 14 | 7 | 3.5 | 6.4 | 3.2 | 1.6 | 7.4 | 3.7 | 1.9 | |
| 2 | 24 | 12 | 6 | 11 | 5.7 | 2.9 | 13 | 6.6 | 3.3 | 2.5 |
| 3 | 34 | 17 | 8.5 | 16 | 8.1 | 4.1 | 19 | 9.3 | 4.7 | 3.5 |
| 4 | 52 | 26 | 13 | 26 | 13 | 6.5 | 30 | 15 | 7.5 | 6 |
| 5 | 74 | 37 | 18.5 | 38 | 19 | 9.5 | 44 | 22 | 11 | 9 |
| 10 | 94 | 47 | 23.5 | 44 | 22 | 11 | 50 | 25 | 12.5 | 11 |
| 15 | 66 | 33 | 16.5 | 76 | 38 | 19 | 16 | |||
| 20 | 88 | 44 | 22 | 102 | 51 | 25.5 | 22 | |||
| 25 | 111 | 55 | 28 | 129 | 64 | 32 | 25 | |||
| 30 | 134 | 67 | 33.5 | 154 | 77 | 38.5 | 32 | |||
| 40 | 178 | 89 | 44.5 | 204 | 107 | 53.5 | 44 | |||
| 50 | 204 | 102 | 51 | 236 | 118 | 59 | 52 | |||
| 75 | 308 | 154 | 77 | 356 | 178 | 89 | 77 | |||
| 100 | 408 | 204 | 102 | 472 | 236 | 118 | 100 | |||
Ques. What are the usual power factors encountered on commercial circuits?
Ans. A mixed load of incandescent lamps and induction motors will have a power factor of from .8 to .85; induction motors above .8 to .85; incandescent and Nernst lamps .98; arc lamps, .85.