Field computation for accelerator magnets: analytical and numerical methods for electromagnetic design and optimization
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Weinheim
Wiley-VCH
2010
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | 1 Online-Ressource (XX, 757 S.) Ill., graph. Darst. |
| ISBN: | 9783527407699 9783527635467 |
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| adam_text | CONTENTS PREFACE XV NOTATION XIX 1 MAGNETS FOR ACCELERATORS 1 1.1 THE
LARGO MADRON COLLIDER 2 1.2 A MAGNET METAMORPHOSIS 7 1.3 SUPERCONDUCTOR
TECHNOLOGY 76 1.3.1 CRITICAL CURRENT DENSITY OF SUPERCONDUCTORS 16 1.3.2
STRANDS 19 1.3.3 CABLES 22 1.4 THE LHC DIPOLE COLDMASS 27 1.5 SUPERFLUID
HELIUM PHYSICS AND CRYOGENIC ENGINEERING 29 1.6 CRYOSTAT DESIGN AND
CRYOGENIC TEMPERATURE LEVELS 32 1.7 VACUUM TECHNOLOGY 33 1.8 POWERING
AND ELECTRICAL QUALITY ASSURANCE 35 1.9 ELECTROMAGNETIC DESIGN
CHALLENGES 38 1.9.1 THE CERN FIELD COMPUTATION PROGRAM ROXIE 42 1.9.2
ANALYTICAL AND NUMERICAL FIELD COMPUTATION 44 REFERENCES 46 2 ALGEBRAIC
STRUCTURES AND VECTOR FIELDS 49 2.1 MAPPINGS 49 2.2 GROUPS, RINGS, AND
FIELDS 50 2.3 VECTOR SPACE 51 2.3.1 LINEAR INDEPENDENCE AND BASIS 53 2.4
LINEAR TRANSFORMATIONS 54 2.5 AFFINE SPACE 56 BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/996919228 DIGITALISIERT DURCH VI CONTENTS
2.6.1 METRIC SPACE 61 2.6.2 ORTHONORMAL BASES 63 2.6.3 THE ERHARD
SCHMIDT ORTHOGONALIZATION 64 2.7 ORIENTATION 66 2.8 A GLIMPSE ON
TOPOLOGICAL CONCEPTS 68 2.8.1 HOMOTOPY 69 2.8.2 THE BOUNDARY OPERATOR 70
2.9 EXTERIOR PRODUCTS 72 2.10 IDENTITIES OF VECTOR ALGEBRA 75 2.11
VECTOR FIELDS 75 2.12 PHASE PORTRAITS 77 2.13 THE PHYSICAL DIMENSION
SYSTEM 80 REFERENCES 84 3 CLASSICAL VECTOR ANALYSIS 85 3.1 SPACE CURVES
86 3.1.1 THE FRENET FRAME OF SPACE CURVES 88 3.2 THE DIRECTIONAL
DERIVATIVE 93 3.3 GRADIENT, DIVERGENCE, AND CURL 94 3.4 IDENTITIES OF
VECTOR ANALYSIS 96 3.5 SURFACES IN E3 96 3.6 THE DIFFERENTIAL 98 3.7
DIFFERENTIAL OPERATORS ON SCALAR AND VECTOR FIELDS IN R AND R 102 3.8
THE PATH INTEGRAL OF A VECTOR FIELD 103 3.9 COORDINATE-FREE DEFINITIONS
OF THE DIFFERENTIAL OPERATORS 204 3.1 CONTENTS VIL 3.13.2 CYLINDRICAL
COORDINATES 222 3.13.3 SPHERICAL COORDINATES 222 3.14 THE LEMMATA OF
POINCARE 225 3.15 DE RHAM COHOMOLOGY 226 3.16 FOURIER SERIES 229
REFERENCES 236 4 MAXWELL S EQUATIONS AND BOUNDARY VALUE PROBLEMS IN
MAGNETOSTATICS 137 4.1 MAXWELL S EQUATIONS 138 4.1.1 THE GLOBAL FORM 138
4.1.2 THE INTEGRAL FORM 239 4.1.3 THE LOCAL FORM 241 4.1.4 MAXWELL S
ORIGINAL SET OF EQUATIONS 242 4.2 KIRCHHOFF S LAWS 243 4.3 CONVERSION
OF ENERGY IN ELECTROMAGNETIC FIELDS 243 4.4 CONSTITUTIVE EQUATIONS 144
4.5 BOUNDARY AND INTERFACE CONDITIONS 246 4.6 MAGNETIC MATERIAL 252
4.6.1 FERROMAGNETISM 252 4.6.2 MEASUREMENT OF HYSTERESIS CURVES 255
4.6.3 MAGNETIC ANISOTROPY IN LAMINATED IRON YOKES 159 4.6.4
MAGNETOSTRICTION 260 4.6.5 PERMANENT MAGNETS 161 4.6.6 MAGNETIZATION
CURRENTS AND FICTITIOUS MAGNETIC CHARGES 263 4.7 CLASSIFICATION DIAGRAMS
FOR ELECTROMAGNETISM 265 4.8 FIELD LINES 267 4.8.1 CLASSIFICATION OF
ELECTROMAGNETIC FIELD PROBLEMS 267 4.9 BOUNDARY VALUE PROBLEMS 1:
MAGNETOSTATIC 172 4.9.1 SCALAR-POTENTIAL FORMULATIONS 272 4.9.2
VECTOR-POTENTIAL FORMULATIONS 273 4.9.3 THE SCALAR LAPLACE EQUATION IN
2D 1 7 VIII CONTENTS 5.7 THE MAGNETIC DIPOLE MOMENT 203 5.8 THE MAGNETIC
DOUBLE LAYER 205 5.8.1 THE SOLID ANGLE 206 5.8.2 APPROXIMATING THE SOLID
ANGLE OF A CURRENT LOOP 208 5.9 THE IMAGE-CURRENT METHOD 209 5.9.1 PLANE
BOUNDARIES 222 5.9.2 CIRCULAR BOUNDARIES 223 5.10 STORED ENERGY IN A
MAGNETOSTATIC FIELD 226 5.10.1 SELF AND MUTUAL INDUCTANCE 218 5.10.2 THE
GEOMETRIC MEAN DISTANCE 220 5.10.3 MAGNETIC FLUX 222 5.11 MAGNETIC
ENERGY IN NONLINEAR CIRCUITS 224 5.11.1 DIFFERENTIAL INDUCTANCE 224 5.12
MAGNETIC FORCES AND THE MAXWELL STRESS TENSOR 227 5.13 FIELDS AND
POTENTIALS OF MAGNETIZATION CURRENTS 230 5.14 MAGNETIC LEVITATION 232
REFERENCES 235 6 FIELD HARMONICS 237 6.1 CIRCULAR HARMONICS 238 6.1.1
DETERMINING THE MULTIPOLE COEFFICIENTS 240 6.1.2 MAGNETIC SHIELDING;
PERMEABLE CYLINDRICAL SHELL IN A UNIFORM FIELD 253 6.1.3 INTEGRATED
MULTIPOLES IN ACCELERATOR MAGNETS 255 6.2 SPHERICAL HARMONICS 257 6.2.1
LEGENDRE SERIES EXPRESSION FOR THE VECTOR POTENTIAL 262 6.2.2
DETERMINING THE ZONAL HARMONICS 263 6.3 SEPARATION IN CARTESIAN
COORDINATES 265 REFERENCE CONTENTS IX 8 COIL-DOMINATED MAGNETS 293 8.1
ACCELERATOR MAGNETS 294 8.1.1 GENERATION OF PURE MULTIPOLE FIELDS 295
8.1.2 SENSITIVITY TO COIL-BLOCK POSITIONING ERRORS 305 8.1.3 FORCE
DISTRIBUTION 305 8.1.4 MARGINS IN THE LHC MAIN DIPOLE 306 8.2
COMBINED-FUNCTION MAGNETS AND THE UNIPOLAR CURRENT DIPOLE 309 8.3
RECTANGULAR BLOCK-COIL STRUCTURES 310 8.4 FIELD ENHANCEMENT IN COIL ENDS
OF ACCELERATOR MAGNETS 311 8.5 MAGNETIC FORCE DISTRIBUTION IN THE LHC
DIPOLE COIL ENDS 312 8.6 NESTED HELICES 314 8.7 SOLENOIDS 315 8.7.1
HELMHOLTZ AND MAXWELL COILS 315 8.7.2 FABRY FACTORS 317 8.7.3 OFF-AXIS
FIELDS 321 8.7.4 ZONAL HARMONICS 324 REFERENCES 325 9 COMPLEX ANALYSIS
METHODS FOR MAGNET DESIGN 327 9.1 THE FIELD OF COMPLEX NUMBERS 328 9.2
HOLOMORPHIC FUNCTIONS AND THE CAUCHY-RIEMANN EQUATIONS 329 9.3 POWER
SERIES 331 9.4 THE COMPLEX FORM OF THE DISCRETE FOURIER TRANSFORM 333
9.5 COMPLEX POTENTIALS 335 9. X CONTENTS 10 FIELD DIFFUSION 363 10.1
TIME CONSTANTS AND PENETRATION DEPTHS 363 10.2 THE LAPLACE TRANSFORM 365
10.3 CONDUCTIVE SLAB IN A TIME-TRANSIENT APPLIED FIELD 370 10.3.1 THE
STEP-EXCITATION FUNCTION 372 10.3.2 LINEAR RAMP OF THE APPLIED FIELD 373
10.3.3 SINUSOIDAL EXCITATION 375 10.4 EDDY CURRENTS IN THE LHC COLD BORE
AND BEAM SCREEN 376 REFERENCES 382 11 ELEMENTARY BEAM OPTICS AND FIELD
REQUIREMENTS 383 11.1 THE EQUATIONS OF CHARGED PARTICLE MOTION IN A
MAGNETIC FIELD 383 11.2 MAGNETIC RIGIDITY AND THE BENDING MAGNETS 387
11.3 THE LINEAR EQUATIONS OF MOTION 389 11 A WEAK FOCUSING 390 11.5
THIN-LENS APPROXIMATIONS 392 11.6 TRANSFER MATRICES 393 11.7 STRONG
FOCUSING AND THE FODO CELL 395 11.8 THE BETA FUNCTION, TUNE, AND
TRANSVERSE RESONANCES 397 11.9 OFF-MOMENTUM PARTICLES 407 11.9.1
DISPERSION 408 11.9.2 CHROMATICITY 420 11.10 FIELD ERROR SPECIFICATIONS
422 REFERENCE CONTENTS XI 13 FINITE-ELEMENT FORMULATIONS 433 13.1
ONE-DIMENSIONAL FINITE-ELEMENT ANALYSIS 434 13.1.1 QUADRATIC ELEMENTS
439 13.2 FEM WITH THE VECTOR-POTENTIAL (CURL-CURL) FORMULATION 442
13.2.1 THE WEAK FORM IN 3D 443 13.2.2 THE WEAK FORM IN 2D 444 13.3
COMPLEMENTARY FORMULATIONS 445 13.3.1 FEM WITH REDUCED VECTOR-POTENTIAL
FORMULATION 445 13.3.2 FEM, EMPLOYING THE VECTOR POISSON EQUATION 449
13.3.3 THE A-CP FORMULATION FOR EDDY-CURRENT PROBLEMS 452 REFERENCES 453
14 DISCRETIZATION 455 14.1 QUADRILATERAL MESH GENERATION 456 14.1.1
PARAMETRIC MODELING 457 14.1.2 TOPOLOGY DECOMPOSITION 458 14.1.3 DOMAIN
DECOMPOSITION 459 14.1.4 MESHING OF SIMPLE DOMAINS 460 14.1.5 SMOOTHING
462 14.1.6 REMESHING AND MORPHING 462 14.2 FINITE-ELEMENT SHAPE
FUNCTIONS 465 14.2.1 THE LINEAR TRIANGULAR ELEMENT, 2D 466 14.2.2
BARYCENTRIC COORDINATES 469 14.2. XII CONTENTS 16 SUPERCONDUCTOR
MAGNETIZATION 503 16.1 SUPERCONDUCTOR MAGNETIZATION 507 16.2 CRITICAL
SURFACE MODELING 509 16.3 THE CRITICAL STATE MODEL 523 16.4 THE ELLIPSE
ON A CYLINDER MODEL 526 16.5 NESTED INTERSECTING CIRCLES AND ELLIPSES
529 16.6 HYSTERESIS MODELING 522 16.7 MAGNET FIELD ERRORS DUE TO THE
SUPERCONDUCTING FILAMENT MAGNETIZATION 527 16.8 THE M(B) ITERATION 530
16.9 SOFTWARE IMPLEMENTATION 532 16.10 APPLICATIONS TO MAGNET DESIGN 532
16.10.1 COMPENSATION OF MULTIPOLE FIELD ERRORS 534 16.11 NESTED MAGNETS
537 REFERENCES 540 17 INTERSTRAND COUPLING CURRENTS 543 17.1 ANALYSIS OF
LINEAR NETWORKS 544 17.1.1 THE LINEAR U(I) RELATION IN A BRANCH 545
17.1.2 THE TOPOLOGY OF NETWORKS 547 17.1.3 THE BRANCH/NODE INCIDENCE
MATRIX AND THE NODE-POTENTIAL METHOD 548 17.1 A THE MESH MATRIX AND THE
MESH-CURRENT METHOD 551 17.1.5 TRANSIENT FIELD ANALYSIS 553 17.2 A
NETWORK MODEL FOR THE INTERSTRAND COUPLING CURRENTS 555 17. CONTENTS
XIII 18.5 QUENCH DETECTION 585 18.6 MAGNET PROTECTION 586 18.7 NUMERICAL
QUENCH SIMULATION 589 18.7.1 THE THERMAL MODEL 591 18.7.2 EXTERNAL
ELECTRICAL CIRCUITS 594 18.8 THE TIME-STEPPING ALGORITHM 595 18.9
APPLICATIONS 596 18.9.1 VALIDATING THE MODEL 598 18.9.2 FAST RAMPING
MAGNETS 601 REFERENCES 607 19 DIFFERENTIAL GEOMETRY APPLIED TO COIL-END
DESIGN 609 19.1 CONSTANT-PERIMETER COIL ENDS 612 19.2 DIFFERENTIAL
GEOMETRY OF THE STRIP SURFACES 625 19.2.1 THE FRENET-SERRET EQUATIONS
FOR STRIPS 626 19.2.2 THE GENERATORS OF STRIPS 628 19.3 DISCRETE THEORY
OF THE STRIP SURFACE 622 19.4 OPTIMIZATION OF THE STRIP SURFACE 627 19.5
COIL-END TRANSFORMATIONS 630 19.6 CORRECTOR MAGNET COIL END WITH RIBBON
CABLES 632 19.7 END-SPACER MANUFACTURING 633 19.8 SPLICE CONFIGURATIONS
634 REFERENCES 636 20 MATHEMATICAL OPTIMIZATION TECHNIQUES 637 20.1
MATHEMATICAL FORMULATION OF THE OPTIMIZATION PROBLEM 639 XIV I CONTENTS
20.9.2 GRAY CODING 669 20.9.3 GENETIC OPERATORS 671 20.9.4 CONVERGENCE
678 20.10 APPLICATIONS 681 20.10.1 CONCEPTUAL COIL DESIGN WITH GENETIC
ALGORITHMS 683 20.10.2 DETERMINISTIC OPTIMIZATION OF COIL CROSS SECTIONS
685 20.10.3 YOKE DESIGN AS A MATERIAL-DISTRIBUTION PROBLEM 688 20.10.4
SHAPE OPTIMIZATION OF THE IRON YOKE 689 20.10.5 PAYOFF TABLES FOR DIPOLE
DESIGNS 691 20.10.6 LAGRANGE MULTIPLIER ESTIMATION 693 20.10.7
MANUFACTURING TOLERANCES 694 20.10.8 TUNING RANGE 696 20.10.9 TRACING OF
MANUFACTURING ERRORS 697 REFERENCES 700 APPENDIX A MATERIAL PROPERTY
DATA FOR QUENCH SIMULATIONS 703 A.I MASS DENSITY 703 A.2 ELECTRICAL
RESISTIVITY 705 A.3 THERMAL CONDUCTIVITY 708 A.4 HEAT CAPACITY 712
REFERENCES 725 B THE LHC MAGNET ZOO 717 B.I SUPERCONDUCTING MAGNETS 727
B.2 NORMAL-CONDUCTING MAGNETS 726 REFERENCES 729 C
|
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| dewey-full | 539.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 539 - Modern physics |
| dewey-raw | 539.73 |
| dewey-search | 539.73 |
| dewey-sort | 3539.73 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
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| id | DE-604.BV040387332 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:22:56Z |
| institution | BVB |
| isbn | 9783527407699 9783527635467 |
| language | English |
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| physical | 1 Online-Ressource (XX, 757 S.) Ill., graph. Darst. |
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| spelling | Russenschuck, Stephan Verfasser (DE-588)139247904 aut Field computation for accelerator magnets analytical and numerical methods for electromagnetic design and optimization Stephan Russenschuck Weinheim Wiley-VCH 2010 1 Online-Ressource (XX, 757 S.) Ill., graph. Darst. txt rdacontent c rdamedia cr rdacarrier Literaturangaben Magnet (DE-588)4131576-5 gnd rswk-swf Berechnung (DE-588)4120997-7 gnd rswk-swf Teilchenbeschleuniger (DE-588)4059318-6 gnd rswk-swf Magnetfeld (DE-588)4074450-4 gnd rswk-swf Teilchenbeschleuniger (DE-588)4059318-6 s Magnet (DE-588)4131576-5 s Magnetfeld (DE-588)4074450-4 s Berechnung (DE-588)4120997-7 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025240732&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Russenschuck, Stephan Field computation for accelerator magnets analytical and numerical methods for electromagnetic design and optimization Magnet (DE-588)4131576-5 gnd Berechnung (DE-588)4120997-7 gnd Teilchenbeschleuniger (DE-588)4059318-6 gnd Magnetfeld (DE-588)4074450-4 gnd |
| subject_GND | (DE-588)4131576-5 (DE-588)4120997-7 (DE-588)4059318-6 (DE-588)4074450-4 |
| title | Field computation for accelerator magnets analytical and numerical methods for electromagnetic design and optimization |
| title_auth | Field computation for accelerator magnets analytical and numerical methods for electromagnetic design and optimization |
| title_exact_search | Field computation for accelerator magnets analytical and numerical methods for electromagnetic design and optimization |
| title_full | Field computation for accelerator magnets analytical and numerical methods for electromagnetic design and optimization Stephan Russenschuck |
| title_fullStr | Field computation for accelerator magnets analytical and numerical methods for electromagnetic design and optimization Stephan Russenschuck |
| title_full_unstemmed | Field computation for accelerator magnets analytical and numerical methods for electromagnetic design and optimization Stephan Russenschuck |
| title_short | Field computation for accelerator magnets |
| title_sort | field computation for accelerator magnets analytical and numerical methods for electromagnetic design and optimization |
| title_sub | analytical and numerical methods for electromagnetic design and optimization |
| topic | Magnet (DE-588)4131576-5 gnd Berechnung (DE-588)4120997-7 gnd Teilchenbeschleuniger (DE-588)4059318-6 gnd Magnetfeld (DE-588)4074450-4 gnd |
| topic_facet | Magnet Berechnung Teilchenbeschleuniger Magnetfeld |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025240732&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT russenschuckstephan fieldcomputationforacceleratormagnetsanalyticalandnumericalmethodsforelectromagneticdesignandoptimization |