Gespeichert in:
| Titel: | Model order reduction: proper generalized decomposition in the context of non-linearity and motion in electrical machines |
|---|---|
| Von: |
Fabian Müller
|
| Person: |
Müller, Fabian
Verfasser aut |
| Hauptverfasser: | |
| Format: | Abschlussarbeit Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Düren
Shaker Verlag
2024
|
| Schriftenreihe: | Aachener Schriftenreihe zur Elektromagnetischen Energiewandlung
57 |
| Schlagworte: | |
| Online-Zugang: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=035112991&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | xiii, 172 Seiten Illustrationen 21 cm x 14.8 cm, 279 g |
| ISBN: | 9783844095159 |
Internformat
MARC
| LEADER | 00000nam a22000008cb4500 | ||
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| 100 | 1 | |a Müller, Fabian |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Model order reduction: proper generalized decomposition in the context of non-linearity and motion in electrical machines |c Fabian Müller |
| 264 | 1 | |a Düren |b Shaker Verlag |c 2024 | |
| 300 | |a xiii, 172 Seiten |b Illustrationen |c 21 cm x 14.8 cm, 279 g | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Aachener Schriftenreihe zur Elektromagnetischen Energiewandlung |v 57 | |
| 502 | |b Dissertation |c RWTH Aachen University |d 2023 | ||
| 650 | 0 | 7 | |a Elektrische Maschine |0 (DE-588)4014308-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Elektromagnetisches Feld |0 (DE-588)4014305-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Berechnung |0 (DE-588)4120997-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ordnungsreduktion |0 (DE-588)4136085-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Finite-Elemente-Methode |0 (DE-588)4017233-8 |2 gnd |9 rswk-swf |
| 653 | |a Electrical Machines | ||
| 653 | |a Finite Element Method | ||
| 653 | |a Model Order Reduction | ||
| 653 | |a Proper Generalized Decomposition | ||
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Elektrische Maschine |0 (DE-588)4014308-9 |D s |
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| 689 | 0 | 2 | |a Berechnung |0 (DE-588)4120997-7 |D s |
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| 689 | 0 | 4 | |a Ordnungsreduktion |0 (DE-588)4136085-0 |D s |
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| 830 | 0 | |a Aachener Schriftenreihe zur Elektromagnetischen Energiewandlung |v 57 |w (DE-604)BV021706262 |9 57 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-035112991 | |
Datensatz im Suchindex
| _version_ | 1820949296236724224 |
|---|---|
| adam_text |
CONTENTS
LIST
OF
ABBREVIATIONS
XIII
1.
INTRODUCTION
1
2.
FUNDAMENTALS
OF
ELECTROMAGNETIC
FIELDS
IN
ELECTRICAL
MACHINES
5
2.1.
MAXWELL
EQUATIONS
.
5
2.2.
NON-LINEAR
MATERIALS
.
6
2.3.
PROBLEM
CLASSES
.
8
2.4.
FIELDS
AND
POTENTIALS
.
9
2.4.1.
A
-
V-FORMULATION
.
9
2.4.2.
T
-
-FORMULATION
.
10
2.4.3.
GALERKIN
METHOD
.
11
2.4.4.
WEAK
FORM:
A-V
.
13
2.4.5.
WEAK
FORM:
T
-
2
.
15
2.4.6.
SYSTEM
SYMMETRIZATION
.
15
3.
FINITE
ELEMENTS
17
3.1.
NODAL
ELEMENTS
.
17
3.2.
EDGE
ELEMENTS
.
18
3.3.
CHANGE
OF
COORDINATES
.
18
3.4.
GAUL
INTEGRATION
.
19
3.5.
FINITE
ELEMENT
ANALYSIS
.
20
4.
MODEL
ORDER
REDUCTION
21
4.1.
PROPER
ORTHOGONAL
DECOMPOSITION
.
21
4.2.
PROPER
GENERALIZED
DECOMPOSITION
.
24
5.
THEORETICAL
EXAMPLES
27
5.1.
TRANSIENT
PROBLEMS
.
27
5.1.1.
MAGNETIC
VECTOR
POTENTIAL
AND
ELECTRIC
SCALAR
POTENTIAL
28
5.1.1.1.
COMBINING
PGD
AND
A-V
FORMULATION
.
28
5.1.1.2.
UPDATE
FUNCTION
.
33
5.1.1.3.
CONVERGENCE
CRITERIA
.
34
5.1.1.4.
TWO-DIMENSIONAL
EDDY
CURRENT
PROBLEM
.
.
35
CONTENTS
5.1.2.
ELECTRIC
VECTOR
POTENTIAL
AND
SCALAR
MAGNETIC
POTENTIAL
40
5.1.2.1.
EMPLOYING
THE
PGD
IN
THE
T-Q-FORMULATION
41
5.1.2.2.
APPLICATION
TO
THREE-DIMENSIONAL
EDDY
CUR
RENT
PROBLEM
.
43
5.1.3.
TEAM
WORKSHOP
PROBLEM
NO.
7
.
52
5.1.4.
GENERAL
FEASIBILITY
FOR
TRANSIENT
PROBLEMS
.
60
5.2.
NON-LINEAR
PROBLEMS
.
61
5.2.1.
FIXED-POINT
ITERATION
.
61
5.2.2.
NEWTON
METHOD
.
63
5.2.3.
CONSIDERATION
OF
NON-LINEARITIES
IN
THE
PGD
.
64
5.2.4.
DISCRETE
EMPIRICAL
INTERPOLATION
METHOD
.
65
5.2.5.
SYNCHRONOUS
MACHINE
WITH
SURFACE
MOUNTED
MAGNETS
68
5.2.6.
SYNCHRONOUS
MACHINE
WITH
BURIED
MAGNETS
.
75
5.2.7.
FEASIBILITY
FOR
NON-LINEAR
PROBLEMS
.
80
5.3.
PARAMETRIC
PROBLEMS
.
81
5.3.1.
REMANENCE
FLUX
DENSITY
OF
HARD
MAGNETIC
MATERIALS
81
5.3.2.
CURRENT
EXCITATION
.
83
5.3.3.
APPLICATION
TO
SURFACE
PMSM
.
84
5.3.4.
GENERAL
FEASIBILITY
FOR
PARAMETRIC
PROBLEMS
.
89
5.4.
NON-CONFORM
PROBLEMS
.
90
5.4.1.
DEFINITION
OF
MOTION
.
91
5.4.2.
TREATMENT
OF
NON-CONNECTED
DOMAINS
IN
THE
PGD
.
.
91
5.4.2.1.
INHOMOGENEOUS
DIRICHLET
CONDITIONS
.
92
5.4.2.2.
BIDIRECTIONAL
INTERFACE
WITH
LAGRANGE
MUL
TIPLIERS
.
95
5.4.3.
STATIONARY
APPLICATION
.
99
5.4.4.
APPLICATION
TO
SURFACE-PMSM
INVOLVING
ROTATIONAL
MOTION
.
105
5.4.5.
CONCLUSIONS
.
107
6.
SIMULATION
OF
A
SYNCHRONOUS
GENERATOR
WITH
A
CONNECTED
PASSIVE
RECTIFIER
109
6.1.
COUPLING
TYPES
.
109
6.2.
WEAK
COUPLED
SIMULATION
OF
A
SYNCHRONOUS
GENERATOR
.
110
6.2.1.
CASE
1:
WITHOUT
CONNECTED
FILTER
.
113
6.2.2.
CASE
2:
WITH
CONNECTED
FILTER
.
115
6.2.3.
CASE
3:
OPERATING
POINT
AT
REDUCED
SPEED
.
118
6.2.4.
CONCLUSIONS
FOR
THE
TECHNICAL
APPLICATION
.
121
CONTENTS
7.
COMPUTATIONAL
EFFORT
123
7.1.
O-NOTATION
.
123
7.2.
COMPLEXITY
OF
THE
FE-SYSTEM
.
124
7.3.
COMPLEXITY
OF
THE
POD
.
127
7.4.
COMPLEXITY
OF
THE
PGD
.
127
7.4.1.
SPACE
COMPUTATION
.
127
7.4.2.
PARAMETER
COMPUTATION
.
129
7.4.3.
MATRIX
PROPERTIES
OF
SELECTED
EXAMPLES
.
130
7.5.
EVALUATION
OF
COMPUTATIONAL
EFFORT
.
135
8.
CONCLUSIONS
AND
OUTLOOK
137
A.
CONSIDERATION
OF
BOUNDARY
CONSTRAINTS
141
A.
1.
UNARY
BOUNDARY
CONDITIONS
.
141
A.
2.
BINARY
BOUNDARY
CONDITIONS
.
142
SYMBOLS
145
BIBLIOGRAPHY
149
OWN
PUBLICATIONS
163
SUPERVISED
FINAL
THESES
169
CURRICULUM
VITAE
171 |
| any_adam_object | 1 |
| author | Müller, Fabian |
| author_facet | Müller, Fabian |
| author_role | aut |
| author_sort | Müller, Fabian |
| author_variant | f m fm |
| building | Verbundindex |
| bvnumber | BV049771807 |
| classification_rvk | ZN 8220 |
| ctrlnum | (OCoLC)1454746046 (DE-599)DNB1328324443 |
| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV049771807 |
| illustrated | Illustrated |
| indexdate | 2025-01-11T10:49:34Z |
| institution | BVB |
| isbn | 9783844095159 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-035112991 |
| oclc_num | 1454746046 |
| open_access_boolean | |
| owner | DE-83 |
| owner_facet | DE-83 |
| physical | xiii, 172 Seiten Illustrationen 21 cm x 14.8 cm, 279 g |
| publishDate | 2024 |
| publishDateSearch | 2024 |
| publishDateSort | 2024 |
| publisher | Shaker Verlag |
| record_format | marc |
| series | Aachener Schriftenreihe zur Elektromagnetischen Energiewandlung |
| series2 | Aachener Schriftenreihe zur Elektromagnetischen Energiewandlung |
| spelling | Müller, Fabian Verfasser aut Model order reduction: proper generalized decomposition in the context of non-linearity and motion in electrical machines Fabian Müller Düren Shaker Verlag 2024 xiii, 172 Seiten Illustrationen 21 cm x 14.8 cm, 279 g txt rdacontent n rdamedia nc rdacarrier Aachener Schriftenreihe zur Elektromagnetischen Energiewandlung 57 Dissertation RWTH Aachen University 2023 Elektrische Maschine (DE-588)4014308-9 gnd rswk-swf Elektromagnetisches Feld (DE-588)4014305-3 gnd rswk-swf Berechnung (DE-588)4120997-7 gnd rswk-swf Ordnungsreduktion (DE-588)4136085-0 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Electrical Machines Finite Element Method Model Order Reduction Proper Generalized Decomposition (DE-588)4113937-9 Hochschulschrift gnd-content Elektrische Maschine (DE-588)4014308-9 s Elektromagnetisches Feld (DE-588)4014305-3 s Berechnung (DE-588)4120997-7 s Finite-Elemente-Methode (DE-588)4017233-8 s Ordnungsreduktion (DE-588)4136085-0 s DE-604 Aachener Schriftenreihe zur Elektromagnetischen Energiewandlung 57 (DE-604)BV021706262 57 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=035112991&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p vlb 20240504 DE-101 https://d-nb.info/provenance/plan#vlb |
| spellingShingle | Müller, Fabian Model order reduction: proper generalized decomposition in the context of non-linearity and motion in electrical machines Aachener Schriftenreihe zur Elektromagnetischen Energiewandlung Elektrische Maschine (DE-588)4014308-9 gnd Elektromagnetisches Feld (DE-588)4014305-3 gnd Berechnung (DE-588)4120997-7 gnd Ordnungsreduktion (DE-588)4136085-0 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| subject_GND | (DE-588)4014308-9 (DE-588)4014305-3 (DE-588)4120997-7 (DE-588)4136085-0 (DE-588)4017233-8 (DE-588)4113937-9 |
| title | Model order reduction: proper generalized decomposition in the context of non-linearity and motion in electrical machines |
| title_auth | Model order reduction: proper generalized decomposition in the context of non-linearity and motion in electrical machines |
| title_exact_search | Model order reduction: proper generalized decomposition in the context of non-linearity and motion in electrical machines |
| title_full | Model order reduction: proper generalized decomposition in the context of non-linearity and motion in electrical machines Fabian Müller |
| title_fullStr | Model order reduction: proper generalized decomposition in the context of non-linearity and motion in electrical machines Fabian Müller |
| title_full_unstemmed | Model order reduction: proper generalized decomposition in the context of non-linearity and motion in electrical machines Fabian Müller |
| title_short | Model order reduction: proper generalized decomposition in the context of non-linearity and motion in electrical machines |
| title_sort | model order reduction proper generalized decomposition in the context of non linearity and motion in electrical machines |
| topic | Elektrische Maschine (DE-588)4014308-9 gnd Elektromagnetisches Feld (DE-588)4014305-3 gnd Berechnung (DE-588)4120997-7 gnd Ordnungsreduktion (DE-588)4136085-0 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | Elektrische Maschine Elektromagnetisches Feld Berechnung Ordnungsreduktion Finite-Elemente-Methode Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=035112991&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021706262 |
| work_keys_str_mv | AT mullerfabian modelorderreductionpropergeneralizeddecompositioninthecontextofnonlinearityandmotioninelectricalmachines |