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A three phase line, 20 km long, delivers 10 MW at 11kV, 50 Hz, 0.8 power factor lagging. The power losses in the line is 10 percent of the power delivered. The resistance of the each onductor will be _________ Ω.
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- 0.774Ω
- 774Ω
- 77.4Ω
- 77.4Ω
Correct Option: A
Power receiving end 10 MW.
| Vrp = | = 6350 volts | |
| √3 |
| Irp = | ||
| 3 × Vph × cosφr |
| cosφr = 0.8 = | ||
| 3 × 6350 × 0.8 |
Power loss = 10% of power delivered
| = | × 10 × 106 = 106 watts | |
| 100 |
Let RP be the phase resistance of conductor.
∴ 3Ir²pRp = 106
| or Rr = | = 0.774Ω | |
| 3 × (656.16)² |
