Question 5. 15 Points The fuel-cost functions in $/h for two…

Question 5. 15 Points The fuel-cost functions in $/h for two thermal generation stations are given by C1 = 800 + 6.0P1 + 0.004 P12 C2 = 1000 + 6.8P2 + 0.002 P22 where P1 and P2 are in MW. The total power demand is 1300 MW. Neglecting losses, determine the optimal generation of each plant and the incremental cost of power λ ($/MWh).

Question 4. 25 Points A single area consists of two generati…

Question 4. 25 Points A single area consists of two generating units, rated at 400 and 800 MVA, with speed regulation of 4 percent and 5 percent on their respective ratings. The units are operating in parallel, sharing 700 MW. Unit 1 supplies 200 MW and unit 2 supplies 500 MW at 1.0 per unit (60 Hz) frequency. The load is increased by 130 MW. Assume there is no frequency-dependent load, i.e., D = 0. Find the steady-state frequency deviation and the new generation on each unit.