(a) A power generating plant consists of two multiple-valve generating units whose fuel cost functions (F1 and F2) expressed in £/hour are given as: F = 0.035P? + 22P, + 10 F2 = 0.045P? + 14P2 + 5 %3D where P, and P, are the output powers in MW of the two units, respectively. The two generating units are running with minimum and maximum possible loading for each one of 50MW and 250 MW. The total load is 160MW.

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Q3.
(a) A power generating plant consists of two multiple-valve generating units whose
fuel cost functions (F1 and F2) expressed in £/hour are given as:
F1 = 0.035P? + 22P, + 10
F2 = 0.045P + 14P2 + 5
where P, and P2 are the output powers in MW of the two units, respectively. The
two generating units are running with minimum and maximum possible loading
for each one of 50MW and 250 MW. The total load is 160MW.
For minimum fuel costs, calculate the load sharing between the units, and
the incremental fuel cost of the plant.
(1)
(8 marks)
(ii)
Calculate the total hourly cost of this despatch.
Transcribed Image Text:Q3. (a) A power generating plant consists of two multiple-valve generating units whose fuel cost functions (F1 and F2) expressed in £/hour are given as: F1 = 0.035P? + 22P, + 10 F2 = 0.045P + 14P2 + 5 where P, and P2 are the output powers in MW of the two units, respectively. The two generating units are running with minimum and maximum possible loading for each one of 50MW and 250 MW. The total load is 160MW. For minimum fuel costs, calculate the load sharing between the units, and the incremental fuel cost of the plant. (1) (8 marks) (ii) Calculate the total hourly cost of this despatch.
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