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A power system has two generating plants and the power is being dispatched economically with P1 = 125 MW and P2 = 250 M W. The loss coefficients are B11 = 0.10 × 102 MW–1 , B12 = – 0.01 × 10–2 MW–1, B22 = 0.13 × 10–2 MW–1to raise the total load on the system by 1 MW will cost an additional ₹ 200 per hour. The penalty factor for plant 1 will be __________
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- 1.25
- 12.5
- 1.25
- 0.125
Correct Option: C
PL = P²1 B11 + 2P1 P2 B12 + P²2 B22
| = 2P1B11 + 2P2B22 = 0 | |
| ∂P1 |
= 2 × 125 × 0.10 × 10–2 + 2 × 250 × (– 0.01 × 10–2) + 0 = (0.250 – 0.05) = 0.20
Putting factor for Plant 1,
| L1 = | = | = 1.25 | ||||
| 1 - | (1 - 0.20) | |||||
