For the plant in Exercise 4, assume that the total plant load varies between 150 MW and 500 MW. For minimum fuel costs when the plant supplies various total loads: a) Plot the incremental fuel cost of the plant against the total load b) Plot the load sharing between units over the whole range of total load variation.

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Please answer exercise 6. Refer to exercise 4. 

Exercise 4:
A power station comprises two synchronous generators with 200 MW and 400 MW output power
capacity. The two generators operate in parallel and are connected to the grid network. Both
generators have governor droop characteristics of 3% (no-load to full-load percentage speed
drop). Assume a free governor action.
a) If the supply frequency, determined by the grid, is 1.005 pu., calculate the total power
supplied by the power station.
b) The 400 MW machine is more efficient than the 200 MW machine. For the same total
power as determined in part (a), calculate the percentage adjustment in the no-load speed
to be made by the speeder motor on the two machines if the 400 MW machine is to operate
at its full capacity while the 200 MW machine supplies the difference. Assume that the
frequency of the grid supply to remain as in part (a).
Ans. 500 MW, 0.485% increase, 0.971% decrease
Exercise 6:
For the plant in Exercise 4, assume that the total plant load varies between 150 MW and 500
MW. For minimum fuel costs when the plant supplies various total loads:
a) Plot the incremental fuel cost of the plant against the total load
b) Plot the load sharing between units over the whole range of total load variation.
Transcribed Image Text:Exercise 4: A power station comprises two synchronous generators with 200 MW and 400 MW output power capacity. The two generators operate in parallel and are connected to the grid network. Both generators have governor droop characteristics of 3% (no-load to full-load percentage speed drop). Assume a free governor action. a) If the supply frequency, determined by the grid, is 1.005 pu., calculate the total power supplied by the power station. b) The 400 MW machine is more efficient than the 200 MW machine. For the same total power as determined in part (a), calculate the percentage adjustment in the no-load speed to be made by the speeder motor on the two machines if the 400 MW machine is to operate at its full capacity while the 200 MW machine supplies the difference. Assume that the frequency of the grid supply to remain as in part (a). Ans. 500 MW, 0.485% increase, 0.971% decrease Exercise 6: For the plant in Exercise 4, assume that the total plant load varies between 150 MW and 500 MW. For minimum fuel costs when the plant supplies various total loads: a) Plot the incremental fuel cost of the plant against the total load b) Plot the load sharing between units over the whole range of total load variation.
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