Multicore Simulation of Power System Transients

314 Pages·2013·16.654 MB·English

by  Fabian Uriarte

Power and Energy Series 67
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Multicore technology has brought about the reexamination of traditional power system Fabian M. Uriarte is with the Center eu Transients
electromagnetic transient simulation methods. The technological penetration of this for Electromechanics of The University nl
aind vimanpcoermtaenncet iinn paonwticeipr asytisotne mof stihmeu mlataionyn- ciso rneo st hnifot.t iTcehaeb alev,a iblaubt iliittsy doef mthaisn dte cish gnroolwoginyg oa f pToewxaesr asty sAteumsti ns,i mUuSAla,t iwonh esrpee hciea liisst tsati
and researcher. He has a PhD in o
in personal computers has orchestrated the redesign of simulation approaches
electrical engineering from Texas A&M n
throughout the software industry—and in particular, the parallelization of power
University at College Station in the area
system simulation. of parallel power system simulation. o
Multicore Simulation of Power System Transients shows how to parallelize the His research includes modelling, f
simulation of power system transients using a multicore desktop computer. The book simulation, ship power systems, power P
begins by introducing a power system large enough to demonstrate the potential of electronics, micro grids, smart grids, o
multicore technology. Then, it is shown how to formulate and partition the power parallel programming, and software w
development in C#. Dr Uriarte has
system into subsystems that can be solved in parallel with a program written in published in the areas of power e
C#. Formulating a power system as subsystems exploits multicore technology by system modelling and simulation, r
parallelizing its solution and can result in significant speedups. For completeness, the distribution systems, micro grids,
power system presented in this book is also built and run in MATLAB®/Simulink® ship power systems and multicore
SimPowerSystems—one of the most widely-used commercial simulation tools today. simulation.
U
r Fabian M. Uriarte
ia
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The Institution of Engineering and Technology
www.theiet.org
978-1-84919-572-0
Multicore Simulation of Power System Transients.indd 1 07/05/2013 16:07:39
IETPOWERANDENERGYSERIES67
Multicore Simulation
of Power System
Transients
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Multicore Simulation
of Power System
Transients
Fabian M. Uriarte
TheInstitutionofEngineeringandTechnology
PublishedbyTheInstitutionofEngineeringandTechnology,London,UnitedKingdom
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ISBN978-1-84919-572-0(hardback)
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Dedication
ToGod
and
mywifeVeronica,daughterValentina,
fatherJ.Manuel,motherAngela,andbrotherIvan

Contents
Listoftables x
Listoffigures xi
Listofsnippets xviii
Abouttheauthor xix
Foreword xxi
Preface xxiii
Acknowledgments xxv
1 Introduction 1
1.1 Scopeandpurpose 1
1.2 Assumedbackground 3
1.3 Contributions 3
1.4 Statementoftheproblemandhypothesis 4
1.5 Organization 4
2 Thepowersystemmodel 7
2.1 Powersystemmodel 8
2.2 Systemsize 13
2.3 Systemvariants 14
2.4 Summary 24
3 Timedomainsimulation 25
3.1 Thetimegrid 25
3.2 Timeinterpolation 29
3.3 Timeloop 32
3.4 Timestepselection 32
3.5 Summary 34
4 Discretization 35
4.1 Discretization 35
4.1.1 Tunableintegration 36
4.1.2 Root-matching 37
viii Multicoresimulationofpowersystemtransients
4.2 Electricalnetworkdiscretization 38
4.2.1 Stand-alonebranches 38
4.2.2 Branchpairs 45
4.2.3 Switches 53
4.3 Controlnetwork 60
4.3.1 State-variableequations 60
4.3.2 First-ordertransferfunctions 62
4.3.3 MovingRMS 63
4.3.4 Movingaverage 67
4.3.5 Powerflow 67
4.3.6 PIDcontroller 69
4.3.7 PWMgenerator 70
4.4 Summary 72
5 Powerapparatusmodels 75
5.1 Cables 75
5.2 Staticloads 78
5.3 Protectivedevices 82
5.3.1 Circuitbreakers 83
5.3.2 Low-voltageprotection 85
5.3.3 Bustransfers 87
5.4 Motordrive 89
5.4.1 Rectifier 89
5.4.2 DCfilter 96
5.4.3 Inverter 98
5.4.4 Motor 104
5.4.5 Rotor 105
5.5 Transformers 110
5.6 Generation 116
5.7 Summary 119
6 Networkformulation 121
6.1 Multi-terminalcomponents 121
6.2 Buses 123
6.3 Formingthemeshmatrix 123
6.3.1 Block-diagonalmatrix 125
6.3.2 Connectiontensor 125
6.3.3 Algorithmtoformtensor 128
6.4 Formingthenodalmatrix 136
6.5 Summary 140
7 Partitioning 143
7.1 Diakoptics 144
7.2 Accuracy 147
7.3 Zero-immittancetearing 147
Contents ix
7.4 Meshtearing 150
7.5 Nodetearing 157
7.6 Tearingexamples 162
7.6.1 Nodetearing 165
7.6.2 Meshtearing 183
7.7 Validation 191
7.8 Graphpartitioning 195
7.9 Overalldifferencebetweenmeshandnodetearing 199
7.10 Summary 200
8 Multithreading 203
8.1 Solutionprocedure 203
8.2 ParallelimplementationinC# 207
8.2.1 NMathandIntelMKL 208
8.2.2 Programexample 208
8.3 Summary 214
9 Performanceanalysis 215
9.1 Performancemetrics 217
9.2 Benchmarkresultsandanalysis 220
9.2.1 System1 220
9.2.2 System2 224
9.2.3 System3 228
9.2.4 System4 232
9.3 Summaryofresults 237
9.4 Summary 241
10 Overallsummaryandconclusions 243
AppendixA Compatiblefrequencieswith(cid:2)t 251
AppendixB Considerationsofmeshandnodalanalysis 257
References 263
Index 279