Activity 1: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:You are testing an electrical device which can be modelled by the figure shown below:18-j12ab.C1 = 10P, + 8 • 10- P? S/hrC2 = 8P, +9 • 10-3 P $/hritj61213-j10The total transmission loss for the power system is given by:E213PL = 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 P2 arein megawatts.The above electric circuit can be characterized by the following equations:The incremental operating cost:%3D= 16.181, + j6(4 – 12) +4(1, – ½) = 1040°Using the incremental operating costs, we will get the following two equations:-j1212 + 8(12 – 1) + 20490° + 4(12 - 4) + j6(I2 – 1,) = 010 + 16 • 10-3P,1– (3 • 10-4P, + 2 • 10-5P,)= 16-j1013 + 1313 – 20290° + 8(13 – 12) = 0Find I1, I2, and I3 using the Gaussian elimination method.8+ 18. 10-3P,1– (3 + 10-+P2 + 2 * 10-SP,)16Determine the output of each unit using Gaussian elimination method.

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Activity 1: You are testing an electrical device which can be modelled by the figure shown below: 18 -j12 HH 12 13 -j10 E1 E2 13 The above electric circuit can be characterized by the following equations: 181, + j6(1, – 12) + 4(I, – 4) = 1020° -j1212 + 8(12 – 1,) + 20490° + 4(12 – 1,) + j6(l2 – 1,) = 0 -j10l3 + 13/3 – 20490° +8(13 – 12) = 0 Find I1, I2, and I3 using the Gaussian elimination method.

Activity 1: You are testing an electrical device which can be modelled by the figure shown below: 18 -j12 HH 12 13 -j10 E1 E2 13 The above electric circuit can be characterized by the following equations: 181, + j6(1, – 12) + 4(I, – 4) = 1020° -j1212 + 8(12 – 1,) + 20490° + 4(12 – 1,) + j6(l2 – 1,) = 0 -j10l3 + 13/3 – 20490° +8(13 – 12) = 0 Find I1, I2, and I3 using the Gaussian elimination method.

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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Q1888
Activity 1: You are testing an electrical device which can be modelled by the figure shown below: 18 -j12 j6 8 -j10 i1 E1 12 13 E2 13 The above electric circuit can be characterized by the following equations: 1811 + j6(I1 – 2) + 4(I1 – I2) = 1020° -j121, + 8(12 – I3) + 20290° + 4(12 – 1) + j6(I2 – 1) = 0 -j1013 + 1313 – 20290° + 8(I3 - 12) = 0 1. Rearrange the above three equations. 2. Write the set of equations in matrix form (A.x = b) 3. Find the determinant of the resulted matrix (A).
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