a) The fuel-cost functions of two 800 MW thermal plants in $/h are given by: f=400...

 

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a) The fuel-cost functions of two 800 MW thermal plants in $/h are given by: f₁=400 +6.0P₁+0.004(P₁)² f₂=500+BP₂ +y(P₂) where P and P₂ are in MW.Find: i. If incremental cost is 8$/MWh when the total power demand is 550 MW. Neglecting losses, determine the optimal generation of each plant. (3 m) ii. If incremental cost is 10S/MWh when the total power demand is 1300 MW. Neglecting losses, determine the optimal generation of each plant. (2m) iii. From the results of (a) and (b) find the fuel-cost coefficients ß and y of the second plant. (5m) b) The fuel-cost functions in $/h for three thermal plants are given by: C1-350 +7.20P₁+0.0040(P₁) (15 marks) C2-500+ 7.30P₂+0.0025 (P₂) C3=600 +6.74P,+0.0030(P)² Where: P₁, P2, and P, are in MW. The governors are set such that generators share the load equally. Neglecting line losses and generator limits, find the total cost in S/h when the total load is Po 745 MW (5m.) M a) The fuel-cost functions of two 800 MW thermal plants in $/h are given by: f₁=400 +6.0P₁+0.004(P₁)² f₂=500+BP₂ +y(P₂) where P and P₂ are in MW.Find: i. If incremental cost is 8$/MWh when the total power demand is 550 MW. Neglecting losses, determine the optimal generation of each plant. (3 m) ii. If incremental cost is 10S/MWh when the total power demand is 1300 MW. Neglecting losses, determine the optimal generation of each plant. (2m) iii. From the results of (a) and (b) find the fuel-cost coefficients ß and y of the second plant. (5m) b) The fuel-cost functions in $/h for three thermal plants are given by: C1-350 +7.20P₁+0.0040(P₁) (15 marks) C2-500+ 7.30P₂+0.0025 (P₂) C3=600 +6.74P,+0.0030(P)² Where: P₁, P2, and P, are in MW. The governors are set such that generators share the load equally. Neglecting line losses and generator limits, find the total cost in S/h when the total load is Po 745 MW (5m.) M

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a i At total load of 550 MW the output of each generator will be 275 MW The cost of each generator w... View the full answer