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 P3Where P, is the output power of generator 1 and P, is the output power of generator 2. P, and P2 arein megawatts.aciThe incremental operating cost:ac2= 16.aciaciaP1aP2aP1.Using the incremental operating costs, we will get the following two equations:10 + 16 * 10-3P,= 161– (3 * 10-4P, + 2 * 10-5P2)8 + 18 * 10-3P2= 161- (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).

GIVEN: 10+16×10-3P11-3×10-4P1+2×10-5P2=168+18×10-3P21-3×10-4P2+2×10-5P1=16…

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 = 10P₁ +8 * 10-³ P² $/hr C2 = 8P₂ +9 * 10-³ P² $/hr The total transmission loss for the power system is given by: PL = 1.5*10-4 P² +2 10-5 P₁ P₂ + 3 * 10-5 P² Where P₁ is the output power of generator 1 and P₂ is the output power of generator 2. P₁ and P₂ a in megawatts. The incremental operating cost: ас1 JP1 ac2 (¹)-(+) = 16. JP2 OP1. JP1 Using the incremental operating costs, we will get the following two equations: 10+ 16*10-³P₁ 1 − (3 * 10−4P₁ + 2 * 10-5P₂) = 16 8+18 10-³P₂ 1 − (3 * 10-4P₂ + 2 * 10-5P₁) ² = 16 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 = 10P₁ +8 * 10-³ P² $/hr C2 = 8P₂ +9 * 10-³ P² $/hr The total transmission loss for the power system is given by: PL = 1.510-4 P² +2 10-5 P₁ P₂ + 3 10-5 P² Where P₁ is the output power of generator 1 and P₂ is the output power of generator 2. P₁ and P₂ a in megawatts. The incremental operating cost: ас1 JP1 ac2 (¹)-(+) = 16. JP2 OP1. JP1 Using the incremental operating costs, we will get the following two equations: 10+ 1610-³P₁ 1 − (3 10−4P₁ + 2 * 10-5P₂) = 16 8+18 10-³P₂ 1 − (3 * 10-4P₂ + 2 * 10-5P₁) ² = 16 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).

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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