Physics · Power Systems
The expressions for the fuel cost of two thermal generating units as a function of the power generation PG1 and PG2 are given as: F1(PG1) = 0.1 a PG12 + 40 PG1 + 120 Rs/h, for 0 MW ≤ PG1 ≤ 350 MW F2(PG2) = 0.2 PG22 + 30 PG2 + 100 Rs/h, for 0 MW ≤ PG2 ≤ 300 MW where 'a' is a constant. For a given value of 'a', optimal dispatch requires a total load of 290 MW to be shared as PG1 = 175 MW and PG2 = 115 MW. If the total load remains unchanged and the value of 'a' is increased by 10%, how will PG1 and the total cost of generation F (F = F1 + F2) change?
- 1PG1 will decrease and F will increase✓
- 2Both PG1 and F will increase
- 3PG1 will increase and F will decrease
- 4Both PG1 and F will decrease
Correct answer
PG1 will decrease and F will increase
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