GATE EE 2014 Set 1 — Question 52
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Power Systems → Economic Operation & Compensation → Economic Load Dispatch
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Question
The fuel cost functions of two power plants are
Plant :
Plant :
where, and are the generated powers of two plants, and and are the constants. If the two plants optimally share 1000 MW load at incremental fuel cost of 100 Rs/MWh, the ratio of load shared by plants and is
Plant :
Plant :
where, and are the generated powers of two plants, and and are the constants. If the two plants optimally share 1000 MW load at incremental fuel cost of 100 Rs/MWh, the ratio of load shared by plants and is
Correct answer
(D) 4:1
Solution
Incremental fuel costs are:
For optimal dispatch, .
Total load MW:
Now, MW
MW
Ratio .
For optimal dispatch, .
Total load MW:
Now, MW
MW
Ratio .
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