10 + 16 * 10-3P. = 16 1- (3 * 10-*P, + 2 × 10-$P;) 8+ 18 + 10-P, 1- (3 * 10-*P2 + 2 * 10-5P,) = 16 ermine the output of each unit using Gaussian elimination method.

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
Chapter12: Power System Controls
Section: Chapter Questions
Problem 12.13P
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Activity 2:
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:
C1 = 10P, + 8 * 10-3 P? $/hr
c2 = 8P, + 9 * 10-3 P? $/hr
The total transmission loss for the power system is given by:
PL = 1.5 * 10-4 P? +2 * 10-5 P,P2 + 3 * 10-5 P?
Where P, is the output power of generator 1 and P, is the output power of generator 2. P, and P, are
in megawatts.
aci
ac2
The incremental operating cost:
= 16.
ap2
Using the incremental operating costs, we will get the following two equations:
10 + 16 * 10-3P,
= 16
1- (3 * 10-*P, + 2 × 10-5P2)
8+ 18 * 10-3P,
= 16
1- (3 * 10-*P, + 2 × 10-³P,)
Determine the output of each unit using Gaussian elimination method.
Transcribed Image Text:Activity 2: 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: C1 = 10P, + 8 * 10-3 P? $/hr c2 = 8P, + 9 * 10-3 P? $/hr The total transmission loss for the power system is given by: PL = 1.5 * 10-4 P? +2 * 10-5 P,P2 + 3 * 10-5 P? Where P, is the output power of generator 1 and P, is the output power of generator 2. P, and P, are in megawatts. aci ac2 The incremental operating cost: = 16. ap2 Using the incremental operating costs, we will get the following two equations: 10 + 16 * 10-3P, = 16 1- (3 * 10-*P, + 2 × 10-5P2) 8+ 18 * 10-3P, = 16 1- (3 * 10-*P, + 2 × 10-³P,) Determine the output of each unit using Gaussian elimination method.
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