(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? + 14P, + 15...

Extracted text: (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? + 14P, + 15 where P1 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 120MW and 300 MW. For minimum fuel costs, calculate the load sharing between the units, the incremental fuel cost of the plant, and the total hourly cost of this despatch if the total load is 60OMW.