Switch observability for differential-algebraic systems: analysis, observer design and application to power networks
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| Main Author: | |
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| Format: | Thesis Book |
| Language: | English |
| Published: |
Stuttgart
Fraunhofer Verlag
[2018]
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis Inhaltsverzeichnis |
| Physical Description: | vii, 205 Seiten Illustrationen, Diagramme 21 cm |
| ISBN: | 9783839613740 3839613744 |
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MARC
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| 245 | 1 | 0 | |a Switch observability for differential-algebraic systems |b analysis, observer design and application to power networks |c Ferdinand Küsters |
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Record in the Search Index
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| adam_text | CONTENTS
1. INTRODUCTION 1
1.1. M
OTIVATION................................................................................................
1
1.2. SOLUTION THEORY FOR SWITCHED D A E S
..................................................... 1
1.3. SWITCH
OBSERVABILITY.................................................................................
2
1.4. SWITCH OB SE RV E R
.......................................................................................
4
1.5. APPLICATION TO POWER NETW
ORKS.............................................................. 4
1.6. PREVIOUSLY PUBLISHED RESULTS AND JOINT W O RK
........................................
5
2. SOLUTION THEORY 7
2.1. CLASSICAL
SOLUTIONS...................................................................................
7
2.2. DISTRIBUTIONAL
SOLUTIONS..........................................................................
9
2.2.1. A SHORT INTRODUCTION TO CLASSICAL DISTRIBUTION TH E O RY
............
10
2.2.2. THE SPACE OF PIECEWISE SMOOTH D ISTRIB U TIO N S
...........................
11
2.2.3. LINEAR SOLUTION T H E O R Y
.............................................................. 12
2.3. COLOMBEAU S O LU TIO N S
.............................................................................
16
2.3.1. SCHWARTZ IMPOSSIBILITY RE S U LT
....................................................
17
2.3.2. LIMITING
SOLUTIONS.......................................................................
18
2.3.3. COLOMBEAU S P A C E
.......................................................................
29
2.3.4. APPLICATION TO ODES AND D A E S
..............................................
32
2.3.5. APPLICATION TO SWITCHED D A E S
.................................................
39
2.4.
CONCLUSION................................................................................................
41
3. SWITCH OBSERVABILITY: HOMOGENEOUS CASE 43
3.1. PRELIMINARIES
.........................................................................................
43
3.2. EQUIVALENCE OF SWITCHING S IG N A LS
........................................................... 46
3.3. SWITCHING SIGNAL AND SWITCHING TIME O B SERV AB ILITY
............................ 48
3.4. SWITCH
OBSERVABILITY................................................................................
54
3.5. EXAMPLE: ELECTRICAL C IRC U
IT....................................................................
61
3.6. RESTRICTING THE POSSIBLE TR A N S ITIO N S
....................................................
62
3.7. HOMOGENEOUS SWITCHED O D E S
.............................................................. 63
3.8. INDISCERNIBLE TOPOLOGICAL
CHANGES........................................................... 65
3.9.
CONCLUSION................................................................................................
68
4. STRONG SWITCH OBSERVABILITY 71
4.1. DEFINITIONS AND
PRELIMINARIES.................................................................
71
4.1.1. OBSERVABILITY D EFIN ITIO N
S........................................................... 71
4.1.2. P RE LIM IN A RIE
S.............................................................................
73
4.1.3. UNKNOWN-INPUT
OBSERVABILITY..................................................... 75
4.2. SIMPLIFIED INHOMOGENEOUS C A S E
.............................................................. 75
4.3. INHOMOGENEOUS SWITCHED O D E S
........................................................... 94
4.4. GENERAL INHOMOGENEOUS C A S E
................................................................. 97
4.4.1. UNKNOWN INPUT OBSERVABILITY OF DAES
..................................
98
4.4.2. C
HARACTERIZATIONS.......................................................................
104
4.5.
CONCLUSION................................................................................................
108
5. WEAK AND GENERIC SWITCH OBSERVABILITY 109
5.1. WEAK OBSERV AB ILITY
................................................................................
110
5.2. GENERIC
OBSERVABILITY.............................................................................
115
5.3.
CONCLUSION................................................................................................
118
6. SWITCH OBSERVER 119
6.1. BASIC IDEA OF THE OBSERVER
.................................................................... 119
6.2. CONSTRUCTION OF THE OBSERV
ER................................................................. 122
6.2.1. SPLITTING IN LOCAL
OBSERVERS........................................................ 123
6.2.2. LOCAL OBSERVER FOR THE DIRECT P A R T
...........................................
123
6.2.3. LOCAL OBSERVER FOR PRE-SWITCH IN TE RV A L
.....................................
123
6.2.4. LOCAL OBSERVER FOR POST-SWITCH I N T E R V A L
..................................
126
6.2.5. LOCAL OBSERVER FOR IMPULSIVE P A R T
...........................................
128
6.2.6. OVERALL STATE E S TIM A TIO N
........................................................... 130
6.2.7. VALIDATION OF MODE PAIRS
.
..........................................................
132
6.2.8. OVERALL OBSERVER D ESIG N
............................................................. 137
6.2.9. E X A M P LE S
...................................................................................
140
6.3. ERROR A N A LY
SIS..........................................................................................
145
6.3.1. ERRORS OF PARTIAL STATE ESTIM ATIONS
...........................................
145
6.3.2. ERROR ESTIMATION FOR CORRECT MODE P A I R
..................................
146
6.3.3. ERROR ESTIMATION FOR INCORRECT BUT PLAUSIBLE MODE PAIRS . . . 148
6.3.4. FURTHER REM
ARKS..........................................................................
151
6.4. SWITCHING TIME D E TE C TIO N
.......................................................................
152
6.5. SOME PRACTICAL MODIFICATIONS
................................................................
153
6.5.1. WEIGHTED STATE E S TIM A TIO N
........................................................ 153
6.5.2. OBSERVER IN THE GENERIC C A S E
..................................................... 155
6.5.3. DETECTING ARTIFICIAL S W ITC H E S
..................................................... 156
6.5.4. AVOIDING DATA
STORAGE.................................................................
157
6.5.5. MULTIPLE SW ITCH
ES.......................................................................
158
6.6.
CONCLUSION................................................................................................
159
7. APPLICATION TO FAULT IDENTIFICATION IN POWER NETWORKS 161
7.1. DISTRIBUTION NETWORK BASED ON 11-MODEL
..............................................
161
7.1.1. MODELING
....................................................................................
162
7.1.2. E X A M P LE S
...................................................................................
173
7.2. SWING E Q U A TIO N
.......................................................................................
175
7.2.1. MODELING
...................................................................................
175
7.2.2. EXAMPLE: FAULT ID E N TIFIC A TIO N
.................................................
177
7.3.
CONCLUSION................................................................................................
179
8. CONCLUSION 181
A. APPENDIX 183
A.L. TECHNICAL LE M M A TA
................................................................................
183
A.2. COLOMBEAU SOLUTION OF A NONLINEAR DAE: A NUMERICAL EXAMPLE . . .
185
A.3. DETAILS FOR THE NUMERICAL E X A M P LE
S..................................................... 188
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| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
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| spelling | Küsters, Ferdinand Verfasser (DE-588)1172984239 aut Switch observability for differential-algebraic systems analysis, observer design and application to power networks Ferdinand Küsters Stuttgart Fraunhofer Verlag [2018] vii, 205 Seiten Illustrationen, Diagramme 21 cm txt rdacontent n rdamedia nc rdacarrier Dissertation Technische Universität Kaiserslautern 2018 Energieversorgungsnetz (DE-588)4631982-7 gnd rswk-swf Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd rswk-swf Schaltsystem (DE-588)4179385-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Energieversorgungsnetz (DE-588)4631982-7 s Schaltsystem (DE-588)4179385-7 s Differential-algebraisches Gleichungssystem (DE-588)4229517-8 s DE-604 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=bef4aabf40dd47ac97b3b1a65a49f003&prov=M&dok_var=1&dok_ext=htm Inhaltstext B:DE-101 application/pdf http://d-nb.info/1165166232/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030907029&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Küsters, Ferdinand Switch observability for differential-algebraic systems analysis, observer design and application to power networks Energieversorgungsnetz (DE-588)4631982-7 gnd Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Schaltsystem (DE-588)4179385-7 gnd |
| subject_GND | (DE-588)4631982-7 (DE-588)4229517-8 (DE-588)4179385-7 (DE-588)4113937-9 |
| title | Switch observability for differential-algebraic systems analysis, observer design and application to power networks |
| title_auth | Switch observability for differential-algebraic systems analysis, observer design and application to power networks |
| title_exact_search | Switch observability for differential-algebraic systems analysis, observer design and application to power networks |
| title_full | Switch observability for differential-algebraic systems analysis, observer design and application to power networks Ferdinand Küsters |
| title_fullStr | Switch observability for differential-algebraic systems analysis, observer design and application to power networks Ferdinand Küsters |
| title_full_unstemmed | Switch observability for differential-algebraic systems analysis, observer design and application to power networks Ferdinand Küsters |
| title_short | Switch observability for differential-algebraic systems |
| title_sort | switch observability for differential algebraic systems analysis observer design and application to power networks |
| title_sub | analysis, observer design and application to power networks |
| topic | Energieversorgungsnetz (DE-588)4631982-7 gnd Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Schaltsystem (DE-588)4179385-7 gnd |
| topic_facet | Energieversorgungsnetz Differential-algebraisches Gleichungssystem Schaltsystem Hochschulschrift |
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