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? $/hrC2 = 8P2 + 9 * 10-3 P? $/hrThe total transmission loss for the power system is given by:PL = 1.5 * 10-4 p? + 2 * 10-5 P,P, + 3 * 10-5 P?Where P, is the output power of generator 1 and P, is the output power of generator 2. P1 and P2 arein megawatts.ac1iThe incremental operating cost:aP1ac216.aP2aP11aP1.Using the incremental operating costs, we will get the following two equations:10 + 16 * 10-3P1= 161- (3 * 10-4P + 2 * 10-5P2)8 + 18 * 10-³P21- (3 * 10-4P2 + 2 * 10-5P1)= 161. Rearrange the above two equations.2. Write the set of equations in matrix form (A.x = b).3. Find the determinant of the resulted matrix (A).

Given two equations are 10+16×10-3P11-3×10-4P1+2×10-5P2=16 .....(1) and…

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 = 8P2 + 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, P, + 3 * 10¬5 p? Where P1 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. aP2 aP1. Using the incremental operating costs, we will get the following two equations: 10 + 16 * 10-3P1 = 16 1 – (3 * 10-4P,+2 * 10-5P2) 8 + 18 * 10-³P2 = 16 1- (3 * 10-4P2 +2 * 10-5P;) 1. Rearrange the above two equations. 2. Write the set of equations in matrix form (A.x = b). 3. Find the determinant of the resulted matrix (A).

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 = 8P2 + 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, P, + 3 * 10¬5 p? Where P1 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. aP2 aP1. Using the incremental operating costs, we will get the following two equations: 10 + 16 * 10-3P1 = 16 1 – (3 * 10-4P,+2 * 10-5P2) 8 + 18 * 10-³P2 = 16 1- (3 * 10-4P2 +2 * 10-5P;) 1. Rearrange the above two equations. 2. Write the set of equations in matrix form (A.x = b). 3. Find the determinant of the resulted matrix (A).

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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