Assume that we have the following fuel-cost curves for three generating units C₁(PG1) = 500+ 16 PG1 + 0.008 PG₁² C2(PG2) = 450+ 12 PG2+0.001 PG2² C3(PG3) = 300+10 PG3+0.002 PG3² 150 ≤ PG1 ≤ 500 MW 80 ≤PG2 ≤ 330 MW 100 ≤PG3 ≤ 350 MW Also assume that the network loss is related to the generators output as; Ploss 0.16(PG2-8)+0.01 (PG3-52) Find the optimal dispatch of units and the total cost in dollars/hr considering network losses when the total load, PD, is 900 MW.
Assume that we have the following fuel-cost curves for three generating units C₁(PG1) = 500+ 16 PG1 + 0.008 PG₁² C2(PG2) = 450+ 12 PG2+0.001 PG2² C3(PG3) = 300+10 PG3+0.002 PG3² 150 ≤ PG1 ≤ 500 MW 80 ≤PG2 ≤ 330 MW 100 ≤PG3 ≤ 350 MW Also assume that the network loss is related to the generators output as; Ploss 0.16(PG2-8)+0.01 (PG3-52) Find the optimal dispatch of units and the total cost in dollars/hr considering network losses when the total load, PD, is 900 MW.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Transcribed Image Text:Assume that we have the following fuel-cost curves for three generating units
C₁(PG1) 500+ 16 PG1 + 0.008 PG₁²
C2(PG2) = 450+ 12 PG2+0.001 PG2²
C3(PG3) = 300 + 10 PG3+0.002 PG3²
150 ≤ PG1 ≤ 500 MW
80 ≤ PG2 ≤ 330 MW
100 ≤PG3 ≤ 350 MW
Also assume that the network loss is related to the generators output as;
Ploss 0.16(PG2-8)+0.01 (PG3-52)
Find the optimal dispatch of units and the total cost in dollars/hr considering network losses when
the total load, PD, is 900 MW.
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