Cover image for Power system load flow analysis
Title:
Power system load flow analysis
Personal Author:
Publication Information:
New York : McGraw-Hill, 2005.
ISBN:
9780071447799

Available:*

Library
Item Barcode
Call Number
Material Type
Item Category 1
Status
Searching...
30000004607432 TK1005 P71 2005 Open Access Book Book
Searching...
Searching...
30000010162577 TK1005 P71 2005 Open Access Book Book
Searching...
Searching...
30000010078637 TK1005 P71 2005 Unknown 1:CHECKING
Searching...
Searching...
30000010088896 TK1005 P71 2005 Open Access Book Book
Searching...
Searching...
30000010081898 TK 1005 P71 2005 Open Access Book Book
Searching...

On Order

Summary

Summary

Overloaded, under-maintained electrical power grids are a growing problem not only in the U.S. but around the world

Load flow analysis allows electrical engineers to optimise the flow of electricity across the grid, preventing blackouts and accurately mapping future needs.

This book teaches the tricky, mathematical art of load flow analysis to the scores of EEs looking to move into this growing market.


Author Notes

Lynn Powell is an electrical engineer who is now retired after spending 40 years with various U.K. organizations: the South Wales Electricity Board, the Central Electricity Generating Board, the British Steel Corporation, and the Ministry of Defense. For virtually all that time he was engaged in power system design, for land-based and ship-based systems. He holds a master's degree in power systems engineering from the University of Manchester Institute of Science and Technology and is a Fellow of the Institution of Electrical Engineers. A Welshman by birth, he lives in Wiltshire, England.


Table of Contents

Prefacep. xi
Introductionp. xiii
Chapter 1 System Representationp. 1
1.1 Introductionp. 3
1.2 The Per-Unit Systemp. 4
1.3 Per-Unit Transformer Representationp. 6
1.4 Per-Unit Power System Representationp. 8
Chapter 2 The Load-Flow Problemp. 13
2.1 Physical Statement of the Problemp. 15
2.2 Mathematical Statement of the Problemp. 16
2.3 Representation of System Elementsp. 19
2.3.1 Lines and cablesp. 19
2.3.2 Generatorsp. 20
2.3.3 Transformersp. 20
2.3.4 Loadsp. 20
2.3.5 Shunt elementsp. 20
Chapter 3 Reference Systemp. 21
3.1 Introductionp. 23
3.2 System Configurationp. 23
3.3 Formulation of System Admittance Matrixp. 23
Chapter 4 Jacobi Methodp. 29
4.1 Introductionp. 29
4.2 Development of the Algorithmp. 29
4.3 Jacobi Method Solution for Reference Systemp. 32
Chapter 5 Gauss-Seidel Methodp. 37
5.1 Introductionp. 39
5.2 Development of the Algorithmp. 39
5.3 Gauss-Seidel Solution for Reference Systemp. 41
5.4 Accelerationp. 43
Chapter 6 Z-Matrix Methodsp. 47
6.1 Introductionp. 49
6.2 Development of the Methodp. 49
6.3 Z-Matrix Method: Algorithm for Block Substitutionp. 51
6.4 Z-Matrix (Block Substitution) Solution for Reference Systemp. 53
6.5 Z-Matrix Method: Algorithm for Forward Substitutionp. 56
6.6 Z-Matrix (Forward Substitution) Solution for Reference Systemp. 56
Chapter 7 Newton-Raphson Methodsp. 63
7.1 Solution of Equation y = f(x)p. 65
7.2 Solution of Multivariable Nonlinear Equationsp. 66
7.3 Newton-Raphson and the Load-Flow Problemp. 68
Chapter 8 Newton-Raphson Method Using Cartesian Coordinatesp. 71
8.1 Development of the Algorithmp. 73
8.2 Newton-Raphson (Cartesian Coordinates) Solution for Reference Systemp. 76
Chapter 9 Newton-Raphson Method Using Polar Coordinatesp. 83
9.1 Development of the Algorithmp. 85
9.2 Newton-Raphson (Polar Coordinates) Solution for Reference Systemp. 92
Chapter 10 Fast Decoupled Methodp. 97
10.1 Introductionp. 99
10.2 Decoupled Newton-Raphson Methodp. 101
10.3 Development of the Fast Decoupled Methodp. 101
10.4 Development of the Algorithmp. 104
10.5 Fast Decoupled Solution for Reference Systemp. 104
Chapter 11 DC Load Flowp. 111
11.1 Introductionp. 113
11.2 Development of the Methodp. 114
11.3 Development of the Algorithmp. 116
11.4 DC Load-Flow Solution for Reference Systemp. 116
Chapter 12 Voltage Control (1): Generatorsp. 119
12.1 Introductionp. 121
12.2 Performance of a Synchronous Machinep. 121
12.3 Generator Representation in the Load-Flow Problemp. 125
12.4 Solution for Reference System Including a Generator Busbarp. 127
Chapter 13 Voltage Control (2): On-Load Tap-Changing (OLTC) Transformersp. 133
13.1 Introductionp. 135
13.2 Development of Transformer Equivalent Circuit for Tap Changingp. 136
13.3 Transformer Tap Changing: Illustrative Examplep. 139
13.4 Changes in Admittance Matrix Resulting from Tap Changingp. 140
13.5 Tap Changing within the Load-Flow Processp. 143
13.6 Reference System Including OLTC Transformersp. 145
13.7 Gauss-Seidel Solution for Modified Reference Systemp. 147
Chapter 14 Results Outputp. 151
14.1 Introductionp. 153
14.2 Original Reference Systemp. 153
14.2.1 Busbar conditionsp. 153
14.2.2 Line flowsp. 155
14.3 Reference System Including Generatorp. 157
14.3.1 Busbar conditionsp. 158
14.3.2 Line flowsp. 158
14.4 Reference System Including OLTC Transformersp. 159
14.4.1 Busbar conditionsp. 159
14.4.2 Line flowsp. 159
Chapter 15 Solution Difficultiesp. 161
15.1 Introductionp. 163
15.2 Common Considerationsp. 163
15.2.1 Conditioningp. 163
15.2.2 Sparsityp. 164
15.2.3 Storage of matrix elementsp. 165
15.2.4 Use of implicit functionsp. 165
15.2.5 Ordered elimination and matrix inversionp. 166
15.3 Starting Conditionsp. 166
Appendixp. 169
Referencesp. 173
Further Readingp. 175
Indexp. 177