Electrical machine analysis using finite elements:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, FL [u.a.]
Taylor & Francis
2005
|
| Series: | Power electronics and applications series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | 275 S. Ill., graph. Darst. |
| ISBN: | 0849333997 |
Staff View
MARC
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| 100 | 1 | |a Bianchi, Nicola |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Electrical machine analysis using finite elements |c Nicola Bianchi |
| 264 | 1 | |a Boca Raton, FL [u.a.] |b Taylor & Francis |c 2005 | |
| 300 | |a 275 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Power electronics and applications series | |
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Elektrik makineleri - Matematiksel modeller | |
| 650 | 4 | |a Sonlu öge metodu | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Electric machinery |x Mathematical models | |
| 650 | 4 | |a Finite element method | |
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Record in the Search Index
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| adam_text | CONTENTS 1 OUTLINE OF ELECTROMAGNETIC FIELDS 1 1.1 VECTOR ANALYSIS 1
1.1.1 OPERATIONS AMONG VECTORS 1 1.1.2 LINEAR INTEGRAL AND FLUX OF A
VECTOR FIELD 2 1.1.3 DIFFERENTIAL OPERATORS 3 1.1.4 INTEGRAL IDENTITIES
5 1.1.5 DIFFERENTIAL IDENTITIES 6 1.1.6 EXPRESSION OF THE DIFFERENTIAL
OPERATORS WITHIN DIFFERENT COORDINATE SYSTEMS 7 1.1.6.1 CARTESIAN
COORDINATES 7 1.1.6.2 CYLINDRICAL COORDINATES 8 1.1.6.3 SPHERICAL
COORDINATES 8 1.1.7 CONSERVATIVE, IRROTATIONAL, SOLENOIDAL, AND HARMONIE
FIELDS ....9 1.1.8 TIME DEPENDENCE 10 1.2 ELECTROMAGNETIC FIELDS 11
1.2.1 ELECTRIC CHARGE AND ELECTRIC CHARGE DENSITY 11 1.2.2 ELECTRIC
DISPLACEMENT FIELD 11 1.2.3 CURRENT DENSITY FIELD 12 1.2.4 MAGNETIC FLUX
DENSITY FIELD 13 1.2.5 VECTOR MAGNETIC POTENTIAL FIELD 13 1.2.6 MAGNETIC
FIELD STRENGTH 13 1.2.7 SPECIFIC ELECTRIC FORCE, ELECTRIC FIELD 15 1.2.8
ELECTRIC VOLTAGE AND ELECTROMOTIVE FORCE 17 1.2.9 POYNTING S VECTOR 18
1.2.10 MAXWELL S STRESS TENSOR 19 1.3 FUNDAMENTAL EQUATIONS SUMMARY 21
1.3.1 MAXWELL S EQUATIONS 22 1.3.2 CONSTITUTIVE RELATIONSHIPS AND
CONTINUITY EQUATION 22 1.3.3 LAPLACE, POISSON, HELMHOLTZ EQUATIONS 23
REFERENCES 24 2 BASIC PRINCIPLES OF FINITE ELEMENT METHODS 25 2.1
INTRODUCTION 25 2.2 FIELD PROBLEMS WITH BOUNDARY CONDITIONS 26 2.2.1
MEANING OF THE DIFFERENTIAL OPERATOR L 26 2.2.2 BOUNDARY CONDITIONS 27
2.3 CLASSICAL METHOD FOR THE FIELD PROBLEM SOLUTION 28 2.4 THE CLASSICAL
RESIDUAL METHOD (GALERKIN S METHOD) 29 2.5 THE CLASSICAL VARIATIONAL
METHOD (RAYLEIGH-RITZ S METHOD) 2.5.1 A FIELD PROBLEM SOLUTION BY MEANS
OF THE VAERIA TIOENA L METHOD Q-I 2.5.2 DEFINITION OF THE MODIFIED
VARIATIONAIS ...!... 33 2.5.3 NATURAL BOUNDARY CONDITIONS * 2.6 THE
FINITE ELEMENT METHOD 2.6.1 PARTITION OF THE DOMAIN 34 2.6.2 CHOICE
OF THE INTERPOLATING FUNCTION OR 2.6.3 FORMULATION OF THE SYSTEM 2 - 6 -
4 SOLUTION OF THE PROBLEM * REFERENCES ^6 36 3 APPLICATIONS OF THE
FINITE ELEMENT METHOD TO TWO-DIMENSIONAL FIELDS 3.1 INTRODUCTION. NN
3.1.1 STATEMENT OF THE TWO-DIMENSIONAL FIELD PROBLEM 39 3.1.2
APPLICATION OF THE VARIATIONAL METHOD 4N 3.2 LINEAR INTERPOLATION OF THE
FUNCTION $ 40 3.2.1 COMPUTATION ON THE FUNCTION M (X,Y) 4FI 3.3
APPLICATION OF THE VARIATIONAL METHOD 4? 3.3.1 FUNCTIONAL REFERRED TO
THE M-TH ELEMENT 47 3.3.2 FUNCTIONAL REFERRED TO THE WHOLE DOMAIN 49
3.3.3 ASSIGNING THE ESSENTIAL BOUNDARY CONDITIONS . 51 3.3.4 THE
PROBLEM S SOLUTION J. 3.4 SIMPLE DESCRIPTIONS OF ELECTROMAGNETIC FIELDS
=1 3.4.1 AN ELECTROSTATIC FIELD J. 3.4.2 A STATIONARY CURRENT FIELD *
3.4.2.1 BY MEANS OF THE SCALAR POTENTIAL 53 3.4.2.2 BY MEANS OF THE
VECTOR POTENTIAL S4 3.4.3 A MAGNETOSTATIC FIELD 12 3.4.4 A MAGNETOSTATIC
FIELD WITHOUT CUERRENT 57 3.4.5 A MAGNETIC FIELD WITH PERMANENT MAGNETS S
7 3.5 APPENDIX: INTEGRATION IN TRIANGULAER ELEMENTS
. . . . . . . . . . . . . . . . . . . . . . . . .59 4.1 INLTHCFN 18 PR
CEDURE USIN§ THC ^ ^ E I E M E N T METHOD.... 61 43 C T ^
4.3.1 DIRICHLET S CONDITION ^ 4.3.2 NEUMANN S CONDITION 7? 4.3.3
PERIODIC CONDITION ?T 4.4 COMPUTATION OF THE SOLVED STRUCTURE ,, 66
4.4.1 DRAWING THE FLUX LINES 66 4.4.2 MAGNETIC FLUX AND FLUX LINKAGE 66
4.4.3 JOULE POWER LOSSES 68 4.4.4 MAGNETIC ENERGY 68 4.4.5 MAGNETIC
COENERGY 69 4.4.6 MAGNETIC FORCES 69 4.4.6.1 TENSOR OF MAXWELL S
STRENGTH 69 4.4.6.2 THE VIRTUAL WORKS METHOD 70 4.4.7 DETERMINATION OF
THE ELECTRICAL PARAMETERS 71 5 CYLINDRICAL MAGNETIC DEVICES 73 5.1
INTRODUCTION 73 5.2 ANALYTICAL STUDY OF THE MAGNETIC DEVICE 73 5.2.1
COMPUTATION OF THE MAGNETIC QUANTITIES 74 5.2.2 MAGNETIC ENERGY AND
COENERGY 76 5.2.3 APPARENT INDUCTANCE AND DIFFERENTIAL INDUCTANCE 77
5.2.4 MECHANICAL FORCES 79 5.3 FINITE ELEMENT ANALYSIS 82 5.3.1
FORMULATION OF THE PROBLEM FOR THE FINITE ELEMENT ANALYSIS 82 5.3.2
COMPUTATION OF THE SOLVED STRUCTURE 84 5.3.2.1 MAGNETIC FLUX DENSITY 84
5.3.2.2 FLUX LINKAGE 84 5.3.2.3 MAGNETIC ENERGY AND COENERGY 85 5.3.2.4
INDUCTANCES 86 5.3.2.5 ELECTROMAGNETIC FORCES 87 5.4 EXAMPLE 88
REFERENCES 94 6 THE SINGLE-PHASE TRANSFORMER 95 6.1 THE SINGLE-PHASE
TRANSFORMER 95 6.2 EQUIVALENT ELECTRIC CIRCUIT OF THE TRANSFORMER 96 6.3
COMPUTATION OF THE NO-LOAD INDUCTANCES 99 6.3.1 STATEMENT OF THE PROBLEM
100 6.3.2 COMPUTATION ON THE SOLVED STRUCTURE 101 6.3.2.1 MAGNETIC FLUX
DENSITY 101 6.3.2.2 MAGNETIC ENERGY 101 6.3.2.3 MAIN FLUX 102 6.3.2.4
FLUX LINKAGE 102 6.3.2.5 INDUCED EMF 103 6.3.2.6 SEIF- AND MUTUAL
INDUCTANCES 103 6.3.2.7 JOULE POWER LOSSES 104 6.3.3 EFFECT OF THE
NONLINEAR B-H CURVE 104 6.3.4 ESTIMATION OF THE IRON LOSSES 6.3.5
EXAMPLE . 105 * I N R 6.3.5.1 COMPUTATION WITH LINEAR IRON 10G 6.3.5.2
COMPUTATION WITH NONLINEAR IRON 11N ,, ^ 6 - 3 5 - 3 EFF ECT OF THE
EQUIVALENTAIR-GAP. I 6.4 DETERMINATION OF THE LEAKAGE INDUCTANCES ,O
6.4.1 STATEMENT OF THE PROBLEM 6.4.2 COMPUTATION ON THE SOLVED STRUCTURE
]]T 6.4.2.1 MAGNETICFLUX DENSITY *R 6.4.2.2 MAGNETIC ENERGY ::I
6.4.2.3 FLUX LINKAGE }]L 6.4.2.4 INDUCED EMF . . 5 6.4.2.5 LEAKAGE
INDUCTANCES.. }-T 6.4.2.6 ELECTRIC FORCES . . . } 6.4.3 SIMULATION
WITH INDUCED CURRENTS 6.4.4 EXAMPLE 118 REFERENCES... 122 124 7
SINGLE-PHASE VARIABLE REACTANCE 7.1 THE SINGLE-PHASE VARIABLE
REACTANCE... LL 7.2 COMPUTATION OF THE REACTANCE 7.2.1 STATEMENT OF THE
FIELD PROBLEM J ^ 7.2.2 COMPUTATION ON THE ANALYZED STRUCTURE 197
7.2.2.1 MAGNETICFLUX DENSITY 7.2.2.2 MAGNETIC ENERGY VL N 7.2.2.3
FLUX LINKAGE ^ 7.2.2.4 ELECTRICAL VOLTAGE.... ,1 7.2.2.5
SELF-INDUCTANCE. JF 7.2.2.6 ELECTRIC FORCES ]F 7.2.3 CONSIDERATIONS WITH
NONLINEAR B-H CURVE 1S *5 EXAMPLE IJU 7.3.1 INDUCTANCE ADJUSTMENT 131
7.3.2 DEFINITION OF THE WINDING 132 7.3.3 ANALYSIS 133 REFERENCES..
134 140 8 SYNCHRONOUS GENERATORS 8.1 INTRODUCTION 141 8.2 COMPUTATION OF
THE NO-LOAED CHARACTERISTIC . . ]$L 8.2.1 COMPUTATIONS AFTER THE FIELD
SOLUTION 1AA 8.2.1.1 FLUX LINKAGE M 4 8.2.1.2 INDUCED EMF 145 146 8.3
COMPUTATION OF THE DIRECT-AXIS INDUCTANCE 148 8.3.1 COMPUTATION ON THE
SOLVED STRUCTURE 150 8.3.1.1 COMPUTATION OF L D BY MEANS OF THE MAGNETIC
ENERGY 150 8.3.1.2 COMPUTATION OF L D BY MEANS OF THE FLUX LINKAGE...L51
8.3.1.3 COMPUTATION OF L D BY MEANS OF THE AIR-GAP FLUX DENSITY 251 8.4
COMPUTATION OF THE QUADRATURE AXIS INDUCTANCE 152 8.4.1 COMPUTATION OF L
Q BY MEANS OF THE MAGNETIC ENERGY (LINEAR CASE) 153 8.4.2 COMPUTATION OF
L Q BY MEANS OF THE FLUX LINKAGE 153 8.4.3 COMPUTATION OF L Q BY MEANS
OF THE AIR-GAP FLUX DENSITY... 153 8.5 SEIF- AND MUTUAL INDUCTANCES 154
8.6 SATURATION EFFECT I54 8.7 COMPUTATION OF L D AND L Q WITH ANY
CURRENT 155 8.8 COMPUTATION OF THE MACHINE CHARACTERISTICS 156 8.9
EXAMPLE II-O 8.10 APPENDIX: THE TRANSFORMATION ABC-DQ 161 REFERENCES I^R
9 SURFACE-MOUNTED PERMANENT MAGNET MOTORS 167 9.1 INTRODUCTION -^67 9.2
COMPUTATION OF THE NO-LOAD CHARACTERISTIC 170 9.2.1 COMPUTATION ON THE
SOLVED STRUCTURE 171 9.2.1.1 FLUX LINKAGE 171 9.2.1.2 INDUCED EMF
ZZZZZZZZZZZ.171 9.2.2 COMPUTATION FOR VARIOUS ROTOR POSITIONS 171
9.2.2.1 FLUX LINKAGE AND INDUCED EMF 171 9.2.2.2 COGGING TORQUE 172 9.3
COMPUTATION OF THE INDUCTANCES 175 9.4 COMPUTATION OF THE TORQUE 176
9.4.1 COMPUTATION BY MEANS OF MAXWELL S STRESS TENSOR 176 9.4.2
COMPUTATION BY MEANS OF THE VIRTUAL WORK PRINCIPLE 177 9.4.3 COMPUTATION
BY MEANS OF FLUX LINKAGES AND CURRENTS 177 9.4.4 DYNAMIC COMPUTATION I77
9.5 EXAMPLE 170 9.5.1 NO-LOAD SIMULATION I79 9.5.2 SIMULATIONS OF
OPERATIONS UNDER LOAD 181 REFERENCES ^ FURTHER REFERENCES ON AC DRIVES
183 10 INFERIOR PERMANENT MAGNET AND RELUCTANCE SYNCHRONOUS MOTORS JGC
10.1 INTRODUCTION IGE; 10.2 CHARACTERISTIC MOTOR PARAMETERS .188 10.2.1
SIMPLIFIED MAGNETIC MODEL 188 10.2.2 CROSS-COUPLING EFFECT 191 10.3
TORQUE-SPEED CHARACTERISTIC 192 10.3.1 EXAMPLE 19 O 10.4 ALGORITHM FOR
AN AUTOMATIC COMPUTATION ......... ..... . .!. 194 10.5 SYNCHRONOUS
RELUCTANCE MOTORS 201 10.5.1 THE TRANSVERSALLY LAMINATED RELUCTANCE
MOTOR 202 10.5.2 THE AXIALLY LAMINATED RELUCTANCE MOTOR 203 REFERENCES *
204 11 SELF-STARTING SINGLE-PHASE SYNCHRONOUS MOTORS 207 11.1
INTRODUCTION ?N * 11.2 DEFINITION OF THE MOTOR MODEL . 2 08 11.3
COMPUTATION OF THE ELECTRICA] PARAMETERS .1.1!.... ........... 209
11.3.1 FLUX LINKAGE DUE TO THE PERMANENT MAGNET ....210 11.3.2
SELF-INDUCTANCE COEFFICIENT 210 11.4 COMPUTATION OF THE TORQUE 210 11.5
ANALYSIS OF THE DYNAMIC PERFORMANCE .........1...11..H 211 11.5.1
SIMULATION AT CONSTANT SPEED 2 12 11.5.2 SIMULATION OF THE FUELL DYNAMIC
PERFORMANCE 213 11.6 EXAMPLE 11.6.1 COMPUTATION OF THE FLUX LINKAGE
DUE TO THE PERMANENT MA GNET 216 11.6.2 COMPUTATION OF THE INDUCTANCE
216 11.6.3 THE TORQUE MATRIX 2IF, 11.6.4 SIMULATION OF THE DYNAMIC
PERFORMANCE 218 11.6.4.1 CONSTANT SPEED SIMULATION .. ....... 218
11.6.4.2 SIMULATION OF THE ROTOR STARTING 219 11.7 TWO-DIMENSIONAL
LINEAR INTERPOLATION . . . . . 220 11.7.1 DESCRIPTION OF THE
INTERPOLATING ALGORITHM 222 11.8 NUMERICAL CODES FOR THE MOTOR ANALYSIS
2 25 11.8.1 CODE OF THE COMPUTATION OF THE TORQUE AT CONSTANT S P E ED
225 11.8.2 CODE OF THE COMPUTATION OF THE DYNAMIC PERFORMANCE 226
REFERENCES 227 12 SWITCHED RELUCTANCE MOTORS 229 12.1 INTRODUCTION ?R?
12.2 OPERATING PRINCIPLE 2 O 0 12.2.1 LINEAR MODEL -31 12.2.2 DYNAMIC
PERFORMANCE 232 12.3 FIELD PROBLEM STATEMENT Z . ZZ . 233 12.4
COMPUTATION ON THE SOLVED STRUCTURE . . . . 234 12.4.1 DYNAMIC
ANALYSIS 2 O 4 12.5 EXAMPLE 236 12.5.1 EFFECT OF THE NUMBER OF ELEMENTS
OF THE MESH 238 12.5.2 SIMULATION OF THE DYNAMIC PERFORMANCE 239
REFERENCES 241 13 THREE-PHASE INDUCTION MOTORS 243 13.1 INTRODUCTION 243
13.2 SIMULATIONS OF THE INDIRECT TESTS 246 13.2.1 EQUIVALENT CIRCUIT 246
13.2.2 NO-LOAD TEST 247 13.2.3 LOCKED ROTOR TEST 249 13.2.4 CONSTRUCTION
OF THE EQUIVALENT CIRCUIT 252 13.2.5 EXAMPLE 253 13.2.5.1 NO-LOAD
SIMULATION 253 13.2.5.2 LOCKED ROTOR SIMULATION 256 13.2.5.3 MOTOR
PERFORMANCE 257 13.3 MOTOR ANALYSIS USING SIMULATIONS UNDER LOAD 258
13.3.1 MAGNETIC FIELD EQUATIONS UNDER LOAD 259 13.3.2 ALTERNATIVE
FORMULATION 261 13.3.3 NONLINEARITY OF THE MAGNETIC MATERIALS 263 13.3.4
LINK TO AN EXTERNAL CIRCUIT 264 13.3.5 COMPUTATION OF THE MECHANICAL
TORQUE 265 13.3.6 EXAMPLE 265 REFERENCES 265 APPENDIX 267 INDEX 273
|
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| dewey-tens | 620 - Engineering and allied operations |
| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
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| id | DE-604.BV019937290 |
| illustrated | Illustrated |
| indexdate | 2025-02-20T06:37:48Z |
| institution | BVB |
| isbn | 0849333997 |
| language | English |
| lccn | 2005041853 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013224758 |
| oclc_num | 57694820 |
| open_access_boolean | |
| owner | DE-573 DE-706 DE-Aug4 DE-862 DE-BY-FWS |
| owner_facet | DE-573 DE-706 DE-Aug4 DE-862 DE-BY-FWS |
| physical | 275 S. Ill., graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Taylor & Francis |
| record_format | marc |
| series2 | Power electronics and applications series |
| spellingShingle | Bianchi, Nicola Electrical machine analysis using finite elements Elektrik makineleri - Matematiksel modeller Sonlu öge metodu Mathematisches Modell Electric machinery Mathematical models Finite element method Elektrische Maschine (DE-588)4014308-9 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| subject_GND | (DE-588)4014308-9 (DE-588)4017233-8 |
| title | Electrical machine analysis using finite elements |
| title_auth | Electrical machine analysis using finite elements |
| title_exact_search | Electrical machine analysis using finite elements |
| title_full | Electrical machine analysis using finite elements Nicola Bianchi |
| title_fullStr | Electrical machine analysis using finite elements Nicola Bianchi |
| title_full_unstemmed | Electrical machine analysis using finite elements Nicola Bianchi |
| title_short | Electrical machine analysis using finite elements |
| title_sort | electrical machine analysis using finite elements |
| topic | Elektrik makineleri - Matematiksel modeller Sonlu öge metodu Mathematisches Modell Electric machinery Mathematical models Finite element method Elektrische Maschine (DE-588)4014308-9 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | Elektrik makineleri - Matematiksel modeller Sonlu öge metodu Mathematisches Modell Electric machinery Mathematical models Finite element method Elektrische Maschine Finite-Elemente-Methode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013224758&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bianchinicola electricalmachineanalysisusingfiniteelements |
Indexes
Sonderstandort Fakultät
| Call Number: |
2000 ZN 8210 B577 |
|---|---|
| Copy 1 | nicht ausleihbar Checked out – Due: 31.12.2099 Recall This |