You are given three generating units and asked to find the optimal unit commitment schedule for the units to supply load over a 4-h time period.
|
Hour
|
MW load
|
|
1
|
400
|
|
2
|
1000
|
|
3
|
1600
|
|
4
|
400
|
Gen 1:F1(P1) = 2200 + 25P1 + 0.025*P12 where 220<=P1<=600 MW
Gen 2:F2(P2) = 1500 + 11P2 + 0.02*P22 where 350<=P2<=800 MW
Gen 3:F3(P3) = 1000 + 20P3 + 0.015*P32 where 150<=P3<=600
Each generator has a start-up cost that must be factored in when the unit starts. You should assume that this start-up cost is incurred even if the unit was on then off for only one or two hours and then gets turned back on.
|
Generating Unit
|
Start-Up cost
|
|
1
|
2400
|
|
2
|
3000
|
|
3
|
3400
|
Find the optimal unit commitment schedule.