An area of an interconnected power system has two fossil fuel units operating on economic dispatch. The variable operating costs of these units are given by C = 10P, + 0.008P? $/hr C2 = 8P2 + 0.009P $/hr Where P, and P, are in megawatts and are subjected to following constraints 100 < P, < 600 MW 400 < P2 < 1000 MW Total transmission losses for the power system are given by P = 0.00015P? + 0.00002P,P2 + 0.00003P MW For area 1 = 16.00 $/MWhr Determine a. The output of each unit b. Total transmission losses c. Total load demand, and d. Total operating 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
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.31P: Consider two interconnected voltage sources connected by a line of impedance Z=jX, as shown in...
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An area of an interconnected power system has two fossil fuel units operating on
economic dispatch. The variable operating costs of these units are given by
C = 10P, + 0.008P? $/hr
C2 = 8P2 + 0.009P $/hr
Where P, and P2 are in megawatts and are subjected to following constraints
100 < P, < 600 MW
400 < P2 < 1000 MW
Total transmission losses for the power system are given by
P2 = 0.00015P? + 0.00002P, P, + 0.00003P MW
For area l = 16.00 $/MWhr Determine
a. The output of each unit
b. Total transmission losses
c. Total load demand, and
d. Total operating cost
Transcribed Image Text:An area of an interconnected power system has two fossil fuel units operating on economic dispatch. The variable operating costs of these units are given by C = 10P, + 0.008P? $/hr C2 = 8P2 + 0.009P $/hr Where P, and P2 are in megawatts and are subjected to following constraints 100 < P, < 600 MW 400 < P2 < 1000 MW Total transmission losses for the power system are given by P2 = 0.00015P? + 0.00002P, P, + 0.00003P MW For area l = 16.00 $/MWhr Determine a. The output of each unit b. Total transmission losses c. Total load demand, and d. Total operating cost
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