Consider a power system with two generators with cost functions given by Generator 1: F1 (P1) = 80 + 7.2P1 + 0.00107P; ($) Generator 2: F2(P2) = 119 +7.2P2 +0.00072P; ($). Where generators 1 and 2 are limited to producing 400 and 600 MW of power, respectively. Given that the system load is 500 MW, then 1. Formulate the problem into LP form. 2. Calculate the optimal generation. 3. Determine the optimal generation cost.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.53P
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Consider a power system with two generators with cost functions
given by
Generator 1: F1 (P1) = 80 + 7.2P1 + 0.00107P; ($)
Generator 2: F2(P2) = 119 +7.2P2 +0.00072P3 ($).
Where generators 1 and 2 are limited to producing 400 and 600 MW of
power, respectively. Given that the system load is 500 MW, then
1. Formulate the problem into LP form.
2. Calculate the optimal generation.
3. Determine the optimal generation cost.
Transcribed Image Text:Consider a power system with two generators with cost functions given by Generator 1: F1 (P1) = 80 + 7.2P1 + 0.00107P; ($) Generator 2: F2(P2) = 119 +7.2P2 +0.00072P3 ($). Where generators 1 and 2 are limited to producing 400 and 600 MW of power, respectively. Given that the system load is 500 MW, then 1. Formulate the problem into LP form. 2. Calculate the optimal generation. 3. Determine the optimal generation cost.
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