Structure-exploiting coupled symbolic-numerical model reduction for electrical networks:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Göttingen
Cuvillier
2010
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| Ausgabe: | 1. Aufl. |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XVIII, 169 S. Ill., graph. Darst. 21 cm |
| ISBN: | 9783869555027 |
Internformat
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Datensatz im Suchindex
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IMAGE 1
CONTENTS
VORWORT V
PREFACE VII
LIST OF TABLES XV
LIST OF FIGURES XVII
CHAPTER 1. INTRODUCTION 1
1.1. SYSTEM ANALYSIS 1
1.2. ANALYSIS METHODS 2
1.3. COMPLEXITY CONSIDERATIONS 3
1.4. MODEL ORDER REDUCTION 4
1.5. MOTIVATIONS FOR SYMBOLIC AND NUMERICAL METHODS 5
1.6. AIM OF THIS THESIS 8
CHAPTER 2. FOUNDATIONS 11
2.1. NETWORK ANALYSIS 11
2.1.1. CONNECTION GRAPHS AND INCIDENCE MATRICES 12
2.1.2. THE KIRCHHOFF LAWS 15
2.1.3. CURRENT-VOLTAGE RELATIONS OF CIRCUIT COMPONENTS 17
2.1.4. SPARSE TABLEAU ANALYSIS 19
2.1.5. MODIFIED NODAL ANALYSIS 20
2.1.6. FURTHER ANALYSIS METHODS 22
2.2. SYSTEMS OF EQUATIONS 23
2.2.1. SYSTEMS OF DAES 23
2.2.2. INDEX CONCEPTS 27
2.2.3. SYSTEMS OF PDAES 28
2.2.4. EXAMPLES 30
2.3. NUMERICAL ANALYSIS METHODS 36
2.3.1. TRANSIENT ANALYSIS 37
2.3.2. DC ANALYSIS 37
2.3.3. AC ANALYSIS 38
2.4. SYSTEMS AND CONTROL THEORY 41
2.4.1. REACHABILITY 42
2.4.2. OBSERVABILITY 43
2.4.3. PASSIVITY 45
2.4.4. STABILITY 48
2.5. MODEL ORDER REDUCTION 51
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1007406585
DIGITALISIERT DURCH
IMAGE 2
XII CONTENTS
2.5.1. NUMERICAL MOR 51
2.5.2. SYMBOLIC MOR 68
CHAPTER 3. HIERARCHICAL SYSTEMS 77
3.1. COMPONENT-BASED SYSTEMS 78
3.2. COUPLED AND INTERCONNECTED SYSTEMS 79
3.3. THE BEHAVIORAL APPROACH 81
3.4. THE MACROMODEL CONCEPT 84
CHAPTER 4. HIERARCHICAL MODEL ORDER REDUCTION 87
4.1. MOTIVATING EXAMPLE 88
4.1.1. SYMBOLIC REDUCTION OF THE ENTIRE CIRCUIT 88
4.1.2. EXPLOITATION OF THE HIERARCHICAL STRUCTURE 89
4.1.3. APPLICATION OF DIFFERENT INPUTS 91
4.1.4. COMPARISON OF THE TWO APPROACHES 93
4.2. A WORKFLOW FOR SUBCIRCUIT REDUCTIONS 93
4.3. SUBSYSTEM SENSITIVITIES 95
4.3.1. TERM RANKING 96
4.3.2. CLUSTERING 97
4.3.3. SUBSYSTEM SENSITIVITY ANALYSIS 98
4.4. OPTIMIZED ORDER OF SUBSYSTEM REDUCTIONS 100
4.5. REDUCTION ALGORITHM EXPLOITING CIRCUIT HIERARCHY 102
4.6. ERROR FUNCTIONS 102
4.7. ANALYSIS OF THE OPERATIONAL AMPLIFIER OP741 106
4.7.1. REDUCTION USING THE 2-NORM ERROR FUNCTION 108
4.7.2. REDUCTION USING THE NEW ERROR FUNCTION 112
4.7.3. IMPROVEMENT 116
4.7.4. A HYBRID REDUCTION APPROACH 121
4.7.5. MODEL QUALITY CHECK 123
4.7.6. CONCLUSION 125
CHAPTER 5. IMPLEMENTATIONS 129
5.1. GETSTATESPACE AND GETDAE 129
5.2. ARNOLDI ITERATION 130
5.3. MODELS FOR TRANSMISSION LINES AND LTI STATE SPACE SYSTEMS 131 5.4.
SUBCIRCUIT REDUCTIONS 134
5.5. DEVELOPMENT ENVIRONMENTS AND ERROR FUNCTIONS 138
CHAPTER 6. SUMMARY AND OUTLOOK 139
6.1. SUMMARY 139
6.2. OUTLOOK 142
APPENDIX A. NETWORK THEORY 145
APPENDIX B. SEMICONDUCTOR DEVICE MODELLING - THE DRIFT-DIFFUSION MODEL
FOR THE DIODE 147
B.I. PHYSICS OF A DIODE 147
IMAGE 3
CONTENTS XIUE
B.2. CURRENT DENSITY AND CONTINUITY EQUATIONS 149
B.3. THE POISSON EQUATION 151
B.4. INITIAL AND BOUNDARY CONDITIONS 151
B.5. COUPLING CONDITIONS 153
APPENDIX C. THE OPERATIONAL AMPLIFIER OP741 155
BIBLIOGRAPHY 159
INDEX 167
CURRICULUM VITAE 171
LEBENSLAUF 173 |
| any_adam_object | 1 |
| author | Schmidt, Oliver 1978- |
| author_GND | (DE-588)142600830 |
| author_facet | Schmidt, Oliver 1978- |
| author_role | aut |
| author_sort | Schmidt, Oliver 1978- |
| author_variant | o s os |
| building | Verbundindex |
| bvnumber | BV037483634 |
| ctrlnum | (OCoLC)694880375 (DE-599)DNB1007406585 |
| dewey-full | 621.3192015118 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.3192015118 |
| dewey-search | 621.3192015118 |
| dewey-sort | 3621.3192015118 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| edition | 1. Aufl. |
| format | Thesis Book |
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| isbn | 9783869555027 |
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| spelling | Schmidt, Oliver 1978- Verfasser (DE-588)142600830 aut Structure-exploiting coupled symbolic-numerical model reduction for electrical networks von Oliver Schmidt 1. Aufl. Göttingen Cuvillier 2010 XVIII, 169 S. Ill., graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Zugl.: Kaiserslautern, Techn. Univ., Diss., 2010 Elektrisches Netzwerk (DE-588)4014214-0 gnd rswk-swf Ordnungsreduktion (DE-588)4136085-0 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Elektrisches Netzwerk (DE-588)4014214-0 s Mathematisches Modell (DE-588)4114528-8 s Ordnungsreduktion (DE-588)4136085-0 s DE-604 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3545610&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022635152&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schmidt, Oliver 1978- Structure-exploiting coupled symbolic-numerical model reduction for electrical networks Elektrisches Netzwerk (DE-588)4014214-0 gnd Ordnungsreduktion (DE-588)4136085-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4014214-0 (DE-588)4136085-0 (DE-588)4114528-8 (DE-588)4113937-9 |
| title | Structure-exploiting coupled symbolic-numerical model reduction for electrical networks |
| title_auth | Structure-exploiting coupled symbolic-numerical model reduction for electrical networks |
| title_exact_search | Structure-exploiting coupled symbolic-numerical model reduction for electrical networks |
| title_full | Structure-exploiting coupled symbolic-numerical model reduction for electrical networks von Oliver Schmidt |
| title_fullStr | Structure-exploiting coupled symbolic-numerical model reduction for electrical networks von Oliver Schmidt |
| title_full_unstemmed | Structure-exploiting coupled symbolic-numerical model reduction for electrical networks von Oliver Schmidt |
| title_short | Structure-exploiting coupled symbolic-numerical model reduction for electrical networks |
| title_sort | structure exploiting coupled symbolic numerical model reduction for electrical networks |
| topic | Elektrisches Netzwerk (DE-588)4014214-0 gnd Ordnungsreduktion (DE-588)4136085-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Elektrisches Netzwerk Ordnungsreduktion Mathematisches Modell Hochschulschrift |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3545610&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022635152&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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