If the total load is shared among the three power plants equally, what is power of each power plant and what is the total operating cost in $/hr in this case. Find the optimal (economic) dispatch of each plant, the incremental operating cost λ, and the total operation cost in $/hr. (You don't need to use the iteration method). c) a) b) generation If it is expected that those power plant will operate in average 18 hrs a day, how much saving in cost if the economic dispatch operation with shared power operation (in part a).

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Economic Dispatch Question
It is required to investigate the economic dispatch of three power plants located in the western part
of Victoria. The total load (PD) to be supplied by those power plants is 1500 MW. Assume the cost
functions and the generation limits for these power plants are as follows.
350+ 4.2 P₁ + 0.006 P²
600 + 3.1 P₂ + 0.004 P²
500+ 4.2 P3 +0.007 P3
a)
b)
c)
Plant 1: C₁
Plant 2: C₂
Plant 3: C3
=
=
=
150 ≤ P₁ ≤ 550
350 ≤ P₂ ≤ 700
120 ≤P3 ≤ 400
If the total load is shared among the three power plants equally, what is power
generation of each power plant and what is the total operating cost in $/hr in this case.
Find the optimal (economic) dispatch of each plant, the incremental operating cost 1,
and the total operation cost in $/hr. (You don't need to use the iteration method).
If it is expected that those power plant will operate in average 18 hrs a day, how much
saving in cost if the economic dispatch operation with shared power operation (in part a).
Transcribed Image Text:Economic Dispatch Question It is required to investigate the economic dispatch of three power plants located in the western part of Victoria. The total load (PD) to be supplied by those power plants is 1500 MW. Assume the cost functions and the generation limits for these power plants are as follows. 350+ 4.2 P₁ + 0.006 P² 600 + 3.1 P₂ + 0.004 P² 500+ 4.2 P3 +0.007 P3 a) b) c) Plant 1: C₁ Plant 2: C₂ Plant 3: C3 = = = 150 ≤ P₁ ≤ 550 350 ≤ P₂ ≤ 700 120 ≤P3 ≤ 400 If the total load is shared among the three power plants equally, what is power generation of each power plant and what is the total operating cost in $/hr in this case. Find the optimal (economic) dispatch of each plant, the incremental operating cost 1, and the total operation cost in $/hr. (You don't need to use the iteration method). If it is expected that those power plant will operate in average 18 hrs a day, how much saving in cost if the economic dispatch operation with shared power operation (in part a).
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