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? S/hr C2 = 8P, +9 • 10-3 P S/hr The total transmission loss for the power system is given by: PL = 1.5 • 10-* 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 P2 are in megawatts. 進一,並(, aci The incremental operating cost: 16. Using the incremental operating costs, we will get the following two equations: 10 + 16 • 10-3P, 1- (3 • 10-ªP, + 2 • 10-5P,) = 16 8+ 18+ 10-³P, 1- (3 • 10-'P, + 2 • 10-5P,) 16 Determine 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 P2 is the output power of generator 2. P, and P2 are
in megawatts.
aci
ac2
The incremental operating cost:
16.
aP1
aP2
Using the incremental operating costs, we will get the following two equations:
10 + 16 + 10-3P,
1- (3 + 10-4P, + 2 • 10-5P,)
= 16
8+ 18 + 10-3P2
1- (3 * 10-4P2 + 2 * 10-5P,)
= 16
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 P2 is the output power of generator 2. P, and P2 are in megawatts. aci ac2 The incremental operating cost: 16. aP1 aP2 Using the incremental operating costs, we will get the following two equations: 10 + 16 + 10-3P, 1- (3 + 10-4P, + 2 • 10-5P,) = 16 8+ 18 + 10-3P2 1- (3 * 10-4P2 + 2 * 10-5P,) = 16 Determine the output of each unit using Gaussian elimination method.
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