Consider a three-units system presented by the cost function as: C1 = 0.03 P12 + 8.2P1 + 452 C2 = 0.025 P22 + 8.3P2+ 500 C3 = 0.0035 P32 + 7.44P3 + 612 Where P1, P2 and P3 are in MW and the total load demand, PD is 952 (in MW). (a) Compare these three-units system with and without the economic dispatch by drawing the bar graphs for the power of each plants and the total cost in RM/h. (b) Determine the percentage of saving, with and without the optimal economic dispatch. Discuss the answer. (c) Now, P1, P2 and P3 are subjected to the following limits: 50 MW < P1< 300 MW 100 MW < P2 < 400 MW 100 MW < P3 < 350 MW Compare with the costs in (a). Justify the answer.
Consider a three-units system presented by the cost function as: C1 = 0.03 P12 + 8.2P1 + 452 C2 = 0.025 P22 + 8.3P2+ 500 C3 = 0.0035 P32 + 7.44P3 + 612 Where P1, P2 and P3 are in MW and the total load demand, PD is 952 (in MW). (a) Compare these three-units system with and without the economic dispatch by drawing the bar graphs for the power of each plants and the total cost in RM/h. (b) Determine the percentage of saving, with and without the optimal economic dispatch. Discuss the answer. (c) Now, P1, P2 and P3 are subjected to the following limits: 50 MW < P1< 300 MW 100 MW < P2 < 400 MW 100 MW < P3 < 350 MW Compare with the costs in (a). Justify the answer.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Question
![Consider a three-units system presented by
the cost function as:
C1 = 0.03 P12 + 8.2P1 + 452
C2 = 0.025 P22 + 8.3P2+ 500
C3 = 0.0035 P32 + 7.44P3 + 612
Where P1, P2 and P3 are in MW and the
total load demand, PD is 952 (in MW).
(a) Compare these three-units system with
and without the economic dispatch by
drawing the bar graphs for the power of
each plants and the total cost in RM/h.
(b) Determine the percentage of saving,
with and without the optimal economic
dispatch. Discuss the answer.
(c) Now, P1, P2 and P3 are subjected to the
following limits:
50 MW < P1 < 300 MW
100 MW < P2 < 400 MW
100 MW < P3 < 350 MW
Compare with the costs in (a). Justify the
answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd60047c6-6838-4c01-9a10-b37693d1a010%2Ffb67f889-3543-4aee-b14d-7811519cd675%2Fo2h54aj_processed.png&w=3840&q=75)
Transcribed Image Text:Consider a three-units system presented by
the cost function as:
C1 = 0.03 P12 + 8.2P1 + 452
C2 = 0.025 P22 + 8.3P2+ 500
C3 = 0.0035 P32 + 7.44P3 + 612
Where P1, P2 and P3 are in MW and the
total load demand, PD is 952 (in MW).
(a) Compare these three-units system with
and without the economic dispatch by
drawing the bar graphs for the power of
each plants and the total cost in RM/h.
(b) Determine the percentage of saving,
with and without the optimal economic
dispatch. Discuss the answer.
(c) Now, P1, P2 and P3 are subjected to the
following limits:
50 MW < P1 < 300 MW
100 MW < P2 < 400 MW
100 MW < P3 < 350 MW
Compare with the costs in (a). Justify the
answer.
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