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Lecture Methods of Electric power systems analysis - Lesson 7: DC Power flow, Gaussian elimination, sparse systems

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Lecture Methods of Electric power systems analysis - Lesson 7: DC Power flow, Gaussian elimination, sparse systems provide students with knowledge about DC power flow in powerworld; linear system solution; sparse matrices arise in many areas, and can have domain specific structures; Gaussian elimination can be readily applied to sparse matrices; . | ECEN 615 Methods of Electric Power Systems Analysis Lecture 7 DC Power Flow Gaussian Elimination Sparse Systems Prof. Tom Overbye Dept. of Electrical and Computer Engineering Texas A amp M University overbye@tamu.edu Announcements Read Chapter 6 from the book The book does the power flow using the polar form for the Ybus elements Homework 2 is due on Thursday September 17 For homework 2 you ll need to commercial version of PowerWorld Simulator. 1 DC Power Flow Example The output of the generator at bus 3 is now 440 MW Example from Power System Analysis and Design by Glover Overbye Sarma 6th Edition 2 DC Power Flow in PowerWorld PowerWorld allows for easy switching between the dc and ac power flows case Aggieland37 Aggieland Power and Light To use the 39 A SLA CK345 MVA dc approach A 67 MVA Total Load 1421.0 MW 1.00 pu HOWDY345 slack 862 MW Total Losses 0.00 MW A A A 90 90 65 1.00 pu TEXA S345 MVA MVA SLA CK138 MVA 1.00 pu 64 A A 94 MVA TEXA S138 1.0875 tap 53 MW 0 Mvar A 21 MVA 0.0 Mvar 29 MW 1.00 pu 90 1.00 pu A MVA HOWDY69 HOWDY138 A 35 MVA 1.00 pu 1.00 pu in PowerWorld 0 Mvar 100 MW 287.2 MW MVA A 27 MW select Tools A 1.00 pu TEXA S69 1.00 pu BA TT69 60 MVA 0 Mvar 123 0 Mvar A MVA 37 MW 39 1.00 pu NORTHGA TE69 A A A MVA 87 17 23 0 Mvar MVA 12MA N69 MVA MVA A A 1.00 pu BONFIRE69 WHITE138 103 115.0 MW 27 MVA 34 MW 0 Mvar Solve DC A MVA A 74 20 MW 36 CENTURY69 MVA MVA 0.0 Mvar 50 MW A 0 Mvar 31 MW 73 PLUM138 0 Mvar A 1.00 pu WEB138 MVA 75 1.00 pu MVA GIGEM69 1.00 pu A A MA ROON69 REVEILLE69 93 MW 72 68 1.0625 tap 49 MW Power Flow MVA MVA 82 MW 0 Mvar 59 MW 0 Mvar 0 Mvar A 1.00 pu 0 Mvar 77 MVA WEB69 TREE69 1.00 pu 1.00 pu 0.0 Mvar 0.0 Mvar 1.00 pu A A MVA 0 MW 100 MW 0 Mvar 43 0.0 Mvar 5 MW A MVA FISH69 A 55 50 MW 55 MVA A MVA 93 MW 57 1.000 pu A KYLE138 SPIRIT69 0 Mvar 23 1.00 pu MVA MVA 1.00 pu A A 22 26 A 1.0000 tap YELL69 26 35 MW MVA MVA 0.0 Mvar A MVA 0 Mvar 1.00 pu A 14 KYLE69 18 Notice there A 1.00 pu MVA MVA 25 MW A 61 MW 110 MW MVA 0 Mvar 0 Mvar 1.00 pu