Question One The cost of two generators (in $) as a function of power (in MW) is given: C1 = 0.1P? + 35P, + 3200 150

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Question One
The cost of two generators (in $) as a function of power (in MW) is given:
C1 = 0.1P? + 35P, + 3200
150 < PI <300
C2 = 0.225P? + 20P2 + 2000
50 < P2 <200
Neglecting the system's losses, answer the following:
1) What is the condition on the two generators that must be met to achieve an optimal power dispatch?
2) What will be the incremental cost of Generator 1 when it is required to generate 200 MW?
3) If the demand is 400 MW, determine the incremental cost of the generators that will yield the least possible cost
while meeting the demand requirement
Transcribed Image Text:Question One The cost of two generators (in $) as a function of power (in MW) is given: C1 = 0.1P? + 35P, + 3200 150 < PI <300 C2 = 0.225P? + 20P2 + 2000 50 < P2 <200 Neglecting the system's losses, answer the following: 1) What is the condition on the two generators that must be met to achieve an optimal power dispatch? 2) What will be the incremental cost of Generator 1 when it is required to generate 200 MW? 3) If the demand is 400 MW, determine the incremental cost of the generators that will yield the least possible cost while meeting the demand requirement
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