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Practical Design of Magnetostatic Structure Using Numerical Simulation - Qiuliang Wang
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Qiuliang Wang:

Practical Design of Magnetostatic Structure Using Numerical Simulation - neues Buch

ISBN: 9781118398166

ID: 9781118398166

InhaltsangabeForeword xi< p> Preface xiii< /p> < p> 1 Introduction to Magnet Technology 1< /p> < p> 1.1 Magnet Classification 1< /p> < p> 1.2 Scientific Discoveries in High Magnetic Field 3< /p> < p> 1.3 High Field Magnets for Applications 3< /p> < p> 1.3.1 Magnets in Energy Science 4< /p> < p> 1.3.2 Magnets in Condensed Matter Physics 4< /p> < p> 1.3.3 Magnets in NMR and MRI 5< /p> < p> 1.3.4 Magnets in Scientific Instruments and Industry 6< /p> < p> 1.4 Structure of Magnets 7< /p> < p> 1.4.1 Configuration of Solenoid Magnet 7< /p> < p> 1.4.2 Racetrack and Saddle-Shaped Magnets 7< /p> < p> 1.4.3 Structure of Other Complicated Magnets 10< /p> < p> 1.5 Development Trends in High Field Magnets 10< /p> < p> 1.6 Numerical Methods for Magnet Design 12< /p> < p> 1.7 Summary 14< /p> < p> References 14< /p> < p> 2 Magnetostatic Equations for the Magnet Structure 17< /p> < p> 2.1 Basic Law of Macroscopic Electromagnetic Phenomena 17< /p> < p> 2.1.1 Biot& ndash Savart Law 17< /p> < p> 2.1.2 Faraday& rsquo s Law 18< /p> < p> 2.2 Mathematical Basis of Classical Electromagnetic Theory 20< /p> < p> 2.2.1 Gauss& rsquo s Theorem 20< /p> < p> 2.2.2 Stokes& rsquo Theorem 20< /p> < p> 2.2.3 Green& rsquo s Theorem 21< /p> < p> 2.2.4 Helmholtz& rsquo s Theorem 21< /p> < p> 2.3 Equations of Magnetostatic Fields 25< /p> < p> 2.3.1 Static Magnetic Field Generated by Constant Current in Free Space 25< /p> < p> 2.3.2 Basic Properties of Static Magnetic Field 26< /p> < p> 2.3.3 Magnetic Media in Static Magnetic Field 29< /p> < p> 2.3.4 Boundary Conditions of Magnetostatic Field 32< /p> < p> 2.3.5 Boundary-Value Problem of Static Magnetic Field 34< /p> < p> 2.3.6 Summary of Equations of Magnetostatic Problem 35< /p> < p> 2.4 Summary 37< /p> < p> References 37< /p> < p> 3 Finite Element Analysis for the Magnetostatic Field 39< /p> < p> 3.1 Introduction 39< /p> < p> 3.1.1 Basic Concept of the FEM 39< /p> < p> 3.1.2 Basic Steps of the FEM 40< /p> < p> 3.2 Functional Construction for Static Magnetic Field 41< /p> < p> 3.3 Discretization and Interpolation Function of Solution Domain 44< /p> < p> 3.3.1 Principle of Selecting Subdivisions in the Domain 45< /p> < p> 3.3.2 Selection of Interpolation Function 45< /p> < p> 3.3.3 Unified Expressions of Interpolation Function 67< /p> < p> 3.4 Formulation of System Equations 68< /p> < p> 3.4.1 Two-Dimensional Cartesian Coordinate System 69< /p> < p> 3.4.2 Three-Dimensional Cartesian Coordinate System 70< /p> < p> 3.4.3 Axially Symmetric Scalar Potential System 71< /p> < p> 3.5 Solution of System Equation for the FEM 74< /p> < p> 3.6 Applied FEM for Magnet Design 76< /p> < p> 3.6.1 Magnetic Field for a Superconducting Magnet with LTS and HTS 76< /p> < p> 3.6.2 Magnetic Field for a Superferric Dipole Magnet 78< /p> < p> 3.6.3 Force Characteristics of a Superconducting Ball in Magnetic Field 81< /p> < p> 3.7 Summary 87< /p> < p> References 87< /p> < p> 4 Integral Method for the Magnetostatic Field 89< /p> < p> 4.1 Integral Equation of Static Magnetic Field 89< /p> < p> 4.2 Magnetic Field from Current-Carrying Conductor 91< /p> < p> 4.2.1 Magnetic Field Generated by Rectangular Conductor 91< /p> < p> 4.2.2 Magnetic Field of Arc-Shaped Winding 96< /p> < p> 4.2.3 Magnetic Field Generated by Solenoid Coil 114< /p> < p> 4.2.4 Magnetic Field of Elliptical Cross-Section Winding 119< /p> < p> 4.2.5 Parallel Plane Field 122< /p> < p> 4.2.6 Magnetic Field ofWedge-Shaped Current Block with Triangular Cross-Section 123< /p> < p> 4.2.7 Magnetic Field of Wedge-Shaped Structure with Rectangul < /p> < p> 5.2.3 Design of High Temperature Superconducting Coils 177< /p> < p> 5.3 Design of Resistive Magnets 181< /p> < p> 5.3.1 Resistive Magnet with Nonuniform Current Distribution 183< /p> < p> 5.3.2 Structure of Bitter Resistive Magnets 184< /p> < p> 5.3.3 Resistive Magnet with Iron Yoke 186< /p> < p> 5.4 Engineering Design for Superconducting Magnets 186< /p> < p> 5.4.1 10 T Cryogen-Free Superconducting Magnet 186< /p> < p> 5.4.2 Split Superconducting Magnet System with Large Crossing Warm Bore 188< /p> < p> 5.4.3 Superconducting Magnet with Persistent Current Switch 192< /p> < p> 5.4.4 Ultrahigh Field Superconducting Magnet 194< /p> < p> 5.4.5 A Bi2223 Split Pair Superconducting Magnet for a Propulsion Experiment 195< /p> < p> 5.5 Summary 201< /p> < p> References 201< /p> < p> 6 Series Analysis of Axially Symmetric Magnetic Field 205< /p> < p> 6.1 Laplace& rsquo s Equation in Spherical Coordinates 205< /p> < p> 6.1.1 Legendre Equation and Polynomial 206< /p> < p> 6.1.2 Orthogonality of the Legendre Polynomial 208< /p> < p> 6.1.3 Associated Legendre Function and Spherical Harmonics Ylm(u,f) 210< /p> < p> 6.1.4 Addition Theorem of Spherical Harmonic Functions 212< /p> < p> 6.1.5 Magnetic Vector of Loop Current with Series Expression 214< /p> < p> 6.1.6 Magnetic Scalar Potential of Loop Current with Series Expression 216< /p> < p> 6.1.7 Magnetic Field of Zonal Current with Series Expression 218< /p> < p> 6.2 Series Expression of the Boundary-Value Problem 223< /p> < p> 6.2.1 Expansion of Magnetic Induction of Circular Current Filaments 224< /p> < p> 6.2.2 Expansion of the Magnetic Induction for Solenoid Coils 226< /p> < p> 6.2.3 Expansion of Magnetic Induction of Solenoid at any Position on the z-Axis 227< /p> < p> 6.2.4 Expansion of Magnetic Fields with Multi-Current Filaments 232< /p> < p> 6.2.5 Expansion of Magnetic Field of Magnetization Loop 233< /p> < p> 6.2.6 Calculation of Expansion Coefficients of Arc-Type Coils 235< /p> < p> 6.3 Magnetic Induction of Helical Coils 242< /p> < p> 6.3.1 Magnetic Field Calculation of Helical Current Filaments 242< /p> < p> 6.3.2 Magnetic Induction Generated by Helical Coils 243< /p> < p> 6.4 Magnetic Field of Multi-Coil Combination 247< /p> < p> 6.4.1 Configuration of Highly Homogeneous Field 247< /p> < p> 6.4.2 Determination Methods for Parameters of Multi-Section Magnets 248< /p> < p> 6.5 Applied Magnetic Field Series Expansion 249< /p> < p> 6.5.1 Magnetic Field for a Surgical Magnetic Navigation System 249< /p> < p> 6.5.2 Force of Superconducting Sphere in the Magnetic Field 252< /p> < p> 6.5.3 Design of Superconducting Magnet Shim Coils 259< /p> < p> 6.6 Summary 261< /p> < p> References 261< /p> < p> 7 High Field Magnet with High Homogeneity 263< /p> < p> 7.1 Definition of Magnetic Field Homogeneity 263< /p> < p> 7.2 Requirements for Magnets with High Homogeneity 264< /p> < p> 7.2.1 Large-Bore MRI Magnet System for Medical Research and Clinical< /p> < p> Applications 264< /p> < p> 7.2.2 Electronic Cyclotron and Focused Magnet System 267< /p> < p> 7.2.3 High Homogeneity Magnet for Scientific Instruments 267< /p> < p> 7.2.4 Main Constraint Conditions of Inverse Problem for High Homogeneity< /p> < p> Magnet 269< /p> < p> 7.3 Design of High Homogeneity Magnet 271< /p> < p> 7.3.1 Review of Inverse Problem 271< /p> < p> 7.3.2 Continuous Current Distribution Method 273< /p> < p> 7.3.3 Solving Nonlinear Equations for the Coil Design 277< /p> < p> 7.3.4 Combined Linear and Nonlinear Method for Inverse Problem 279< /p> < p> 7.3.5 Regularization Method for Inverse Problem 281< /p> < p> 7.3.6 Ferromagnetic Shielding of Superconductin Permanent Materials 324< /p> < p> 8.2.2 Selection of Soft Magnetic Materials 326< /p> < p> 8.3 Permanent Magnet Structure Design 331< /p> < p> 8.3.1 Magnetic Circuit Design of Permanent Magnet 331< /p> < p> 8.3.2 Numerical Methods of Permanent Magnet Design 334< /p> < p> 8.4 Design of Magnet for Engineering Applications 341< /p> < p> 8.4.1 MRI Permanent Magnets 341< /p> < p> 8.4.2 AMS with Permanent Magnet 349< /p> < p> 8.4.3 Structure of Six-Pole Permanent Magnet 354< /p> < p> 8.4.4 Magnetic Resonance Imaging Logging 354< /p> < p> 8.4.5 Q& A Vacuum Birefringence Experimental Magnet 359< /p> < p> 8.4.6 Permanent Magnets for Magnetic Resonance Molecular Imaging 362< /p> < p> 8.5 Summary 364< /p> < p> References 365< /p> < p> 9 Shimming Magnetic Field 367< /p> < p> 9.1 Magnetostatic Principle for Shimming Magnetic Field 367< /p> < p> 9.2 Design Method for Active Shimming Coil 372< /p> < p> 9.2.1 Axial Shim Design 372< /p> < p> 9.2.2 Radial Coil Design 382< /p> < p> 9.2.3 Shim Design by Arbitrary Current Distribution 397< /p> < p> 9.2.4 Target-Field Method for MRI Shim Coils 400< /p> < p> 9.3 Current Calculation for Active Shim Coils 411< /p> < p> 9.4 Passive Shimming Design Method 414< /p> < p> 9.4.1 Magnetic Field Produced by Magnetic Material 415< /p> < p> 9.4.2 Mathematical Optimization Model 416< /p> < p> 9.5 Summary 420< /p> < p> References 420< /p> < p> 10 Electromechanical Effects and Forces on the Magnet 423< /p> < p> 10.1 Magnetostatic Electromechanical Effects on the Solenoid 423< /p> < p> 10.1.1 Analytical Method for the Stress Problem in a Solenoid 423< /p> < p> 10.1.2 Semi-Analytical Method for the S Practical Design of Magnetostatic Structure Using Numerical Simulation: InhaltsangabeForeword xi< p> Preface xiii< /p> < p> 1 Introduction to Magnet Technology 1< /p> < p> 1.1 Magnet Classification 1< /p> < p> 1.2 Scientific Discoveries in High Magnetic Field 3< /p> < p> 1.3 High Field Magnets for Applications 3< /p> < p> 1.3.1 Magnets in Energy Science 4< /p> < p> 1.3.2 Magnets in Condensed Matter Physics 4< /p> < p> 1.3.3 Magnets in NMR and MRI 5< /p> < p> 1.3.4 Magnets in Scientific Instruments and Industry 6< /p> < p> 1.4 Structure of Magnets 7< /p> < p> 1.4.1 Configuration of Solenoid Magnet 7< /p> < p> 1.4.2 Racetrack and Saddle-Shaped Magnets 7< /p> < p> 1.4.3 Structure of Other Complicated Magnets 10< /p> < p> 1.5 Development Trends in High Field Magnets 10< /p> < p> 1.6 Numerical Methods for Magnet Design 12< /p> < p> 1.7 Summary 14< /p> < p> References 14< /p> < p> 2 Magnetostatic Equations for the Magnet Structure 17< /p> < p> 2.1 Basic Law of Macroscopic Electromagnetic Phenomena 17< /p> < p> 2.1.1 Biot& ndash Savart Law 17< /p> < p> 2.1.2 Faraday& rsquo s Law 18< /p> < p> 2.2 Mathematical Basis of Classical Electromagnetic Theory 20< /p> < p> 2.2.1 Gauss& rsquo s Theorem 20< /p> < p> 2.2.2 Stokes& rsquo Theorem 20< /p> < p> 2.2.3 Green& rsquo s Theorem 21< /p> < p> 2.2.4 Helmholtz& rsquo s Theorem 21< /p> < p> 2.3 Equations of Magnetostatic Fields 25< /p> < p> 2.3.1 Static Magnetic Field Generated by Constant Current in Free Space 25< /p> < p> 2.3.2 Basic Properties of Static Magnetic Field 26< /p> < p> 2.3.3 Magnetic Media in Static Magnetic Field 29< /p> < p> 2.3.4 Boundary Conditions of Magnetostatic Field 32< /p> < p> 2.3.5 Boundary-Value Problem of Static Magnetic Field 34< /p> < p> 2.3.6 Summary of Equations of Magnetostatic Problem 35< /p> < p> 2.4 Summary 37< /p> < p> References 37< /p> < p> 3 Finite Element Analysis for the Magnetostatic Field 39< /p> < p> 3.1 Introduction 39< /p> < p> 3.1.1 Basic Concept of the FEM 39< /p> < p> 3.1.2 Basic Steps of the FEM 40< /p> < p> 3.2 Functional Construction for Static Magnetic Field 41< /p> < p> 3.3 Discretization and Interpolation Function of Solution Domain 44< /p> < p> 3.3.1 Principle of Selecting Subdivisions in the Domain 45< /p> < p> 3.3.2 Selection of Interpolation Function 45< /p> < p> 3.3.3 Unified Expressions of Interpolation Function 67< /p> < p> 3.4 Formulation of System Equations 68< /p> < p> 3.4.1 Two-Dimensional Cartesian Coordinate System 69< /p> < p> 3.4.2 Three-Dimensional Cartesian Coordinate System 70< /p> < p> 3.4.3 Axially Symmetric Scalar Potential System 71< /p> < p> 3.5 Solution of System Equation for the FEM 74< /p> < p> 3.6 Applied FEM for Magnet Design 76< /p> < p> 3.6.1 Magnetic Field for a Superconducting Magnet with LTS and HTS 76< /p> < p> 3.6.2 Magnetic Field for a Superferric Dipole Magnet 78< /p> < p> 3.6.3 Force Characteristics of a Superconducting Ball in Magnetic Field 81< /p> < p> 3.7 Summary 87< /p> < p> References 87< /p> < p> 4 Integral Method for the Magnetostatic Field 89< /p> < p> 4.1 Integral Equation of Static Magnetic Field 89< /p> < p> 4.2 Magnetic Field from Current-Carrying Conductor 91< /p> < p> 4.2.1 Magnetic Field Generated by Rectangular Conductor 91< /p> < p> 4.2.2 Magnetic Field of Arc-Shaped Winding 96< /p> < p> 4.2.3 Magnetic Field Generated by Solenoid Coil 114< /p> < p> 4.2.4 Magnetic Field of Elliptical Cross-Section Winding 119< /p> < p> 4.2.5 Parallel Plane Field 122< /p> < p> 4.2.6 Magnetic Field ofWedge-Shaped Current Block with Triangular Cross-Section 123< /p> < p> 4.2.7 Magnetic Field of Wedge-Shaped Structure with Rectangul < /p> < p> 5.2.3 Design of High Temperature Superconducting Coils 177< /p> < p> 5.3 Design of Resistive Magnets 181< /p> < p> 5.3.1 Resistive Magnet with Nonuniform Current Distribution 183< /p> < p> 5.3.2 Str, John Wiley & Sons

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Practical Design of Magnetostatic Structure Using Numerical Simulation - Qiuliang Wang
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)

Qiuliang Wang:

Practical Design of Magnetostatic Structure Using Numerical Simulation - neues Buch

2016, ISBN: 9781118398166

ID: 9781118398166

InhaltsangabeForeword xiPreface xiii1 Introduction to Magnet Technology 11.1 Magnet Classification 11.2 Scientific Discoveries in High Magnetic Field 31.3 High Field Magnets for Applications 31.3.1 Magnets in Energy Science 41.3.2 Magnets in Condensed Matter Physics 41.3.3 Magnets in NMR and MRI 51.3.4 Magnets in Scientific Instruments and Industry 61.4 Structure of Magnets 71.4.1 Configuration of Solenoid Magnet 71.4.2 Racetrack and Saddle-Shaped Magnets 71.4.3 Structure of Other Complicated Magnets 101.5 Development Trends in High Field Magnets 101.6 Numerical Methods for Magnet Design 121.7 Summary 14References 142 Magnetostatic Equations for the Magnet Structure 172.1 Basic Law of Macroscopic Electromagnetic Phenomena 172.1.1 Biot&ndash Savart Law 172.1.2 Faraday&rsquo s Law 182.2 Mathematical Basis of Classical Electromagnetic Theory 202.2.1 Gauss&rsquo s Theorem 202.2.2 Stokes&rsquo Theorem 202.2.3 Green&rsquo s Theorem 212.2.4 Helmholtz&rsquo s Theorem 212.3 Equations of Magnetostatic Fields 252.3.1 Static Magnetic Field Generated by Constant Current in Free Space 252.3.2 Basic Properties of Static Magnetic Field 262.3.3 Magnetic Media in Static Magnetic Field 292.3.4 Boundary Conditions of Magnetostatic Field 322.3.5 Boundary-Value Problem of Static Magnetic Field 342.3.6 Summary of Equations of Magnetostatic Problem 352.4 Summary 37References 373 Finite Element Analysis for the Magnetostatic Field 393.1 Introduction 393.1.1 Basic Concept of the FEM 393.1.2 Basic Steps of the FEM 403.2 Functional Construction for Static Magnetic Field 413.3 Discretization and Interpolation Function of Solution Domain 443.3.1 Principle of Selecting Subdivisions in the Domain 453.3.2 Selection of Interpolation Function 453.3.3 Unified Expressions of Interpolation Function 673.4 Formulation of System Equations 683.4.1 Two-Dimensional Cartesian Coordinate System 693.4.2 Three-Dimensional Cartesian Coordinate System 703.4.3 Axially Symmetric Scalar Potential System 713.5 Solution of System Equation for the FEM 743.6 Applied FEM for Magnet Design 763.6.1 Magnetic Field for a Superconducting Magnet with LTS and HTS 763.6.2 Magnetic Field for a Superferric Dipole Magnet 783.6.3 Force Characteristics of a Superconducting Ball in Magnetic Field 813.7 Summary 87References 874 Integral Method for the Magnetostatic Field 894.1 Integral Equation of Static Magnetic Field 894.2 Magnetic Field from Current-Carrying Conductor 914.2.1 Magnetic Field Generated by Rectangular Conductor 914.2.2 Magnetic Field of Arc-Shaped Winding 964.2.3 Magnetic Field Generated by Solenoid Coil 1144.2.4 Magnetic Field of Elliptical Cross-Section Winding 1194.2.5 Parallel Plane Field 1224.2.6 Magnetic Field ofWedge-Shaped Current Block with Triangular Cross-Section 1234.2.7 Magnetic Field of Wedge-Shaped Structure with Rectangul 5.2.3 Design of High Temperature Superconducting Coils 1775.3 Design of Resistive Magnets 1815.3.1 Resistive Magnet with Nonuniform Current Distribution 1835.3.2 Structure of Bitter Resistive Magnets 1845.3.3 Resistive Magnet with Iron Yoke 1865.4 Engineering Design for Superconducting Magnets 1865.4.1 10 T Cryogen-Free Superconducting Magnet 1865.4.2 Split Superconducting Magnet System with Large Crossing Warm Bore 1885.4.3 Superconducting Magnet with Persistent Current Switch 1925.4.4 Ultrahigh Field Superconducting Magnet 1945.4.5 A Bi2223 Split Pair Superconducting Magnet for a Propulsion Experiment 1955.5 Summary 201References 2016 Series Analysis of Axially Symmetric Magnetic Field 2056.1 Laplace&rsquo s Equation in Spherical Coordinates 2056.1.1 Legendre Equation and Polynomial 2066.1.2 Orthogonality of the Legendre Polynomial 2086.1.3 Associated Legendre Function and Spherical Harmonics Ylm(u,f) 2106.1.4 Addition Theorem of Spherical Harmonic Functions 2126.1.5 Magnetic Vector of Loop Current with Series Expression 2146.1.6 Magnetic Scalar Potential of Loop Current with Series Expression 2166.1.7 Magnetic Field of Zonal Current with Series Expression 2186.2 Series Expression of the Boundary-Value Problem 2236.2.1 Expansion of Magnetic Induction of Circular Current Filaments 2246.2.2 Expansion of the Magnetic Induction for Solenoid Coils 2266.2.3 Expansion of Magnetic Induction of Solenoid at any Position on the z-Axis 2276.2.4 Expansion of Magnetic Fields with Multi-Current Filaments 2326.2.5 Expansion of Magnetic Field of Magnetization Loop 2336.2.6 Calculation of Expansion Coefficients of Arc-Type Coils 2356.3 Magnetic Induction of Helical Coils 2426.3.1 Magnetic Field Calculation of Helical Current Filaments 2426.3.2 Magnetic Induction Generated by Helical Coils 2436.4 Magnetic Field of Multi-Coil Combination 2476.4.1 Configuration of Highly Homogeneous Field 2476.4.2 Determination Methods for Parameters of Multi-Section Magnets 2486.5 Applied Magnetic Field Series Expansion 2496.5.1 Magnetic Field for a Surgical Magnetic Navigation System 2496.5.2 Force of Superconducting Sphere in the Magnetic Field 2526.5.3 Design of Superconducting Magnet Shim Coils 2596.6 Summary 261References 2617 High Field Magnet with High Homogeneity 2637.1 Definition of Magnetic Field Homogeneity 2637.2 Requirements for Magnets with High Homogeneity 2647.2.1 Large-Bore MRI Magnet System for Medical Research and ClinicalApplications 2647.2.2 Electronic Cyclotron and Focused Magnet System 2677.2.3 High Homogeneity Magnet for Scientific Instruments 2677.2.4 Main Constraint Conditions of Inverse Problem for High HomogeneityMagnet 2697.3 Design of High Homogeneity Magnet 2717.3.1 Review of Inverse Problem 2717.3.2 Continuous Current Distribution Method 2737.3.3 Solving Nonlinear Equations for the Coil Design 2777.3.4 Combined Linear and Nonlinear Method for Inverse Problem 2797.3.5 Regularization Method for Inverse Problem 2817.3.6 Ferromagnetic Shielding of Superconductin Permanent Materials 3248.2.2 Selection of Soft Magnetic Materials 3268.3 Permanent Magnet Structure Design 3318.3.1 Magnetic Circuit Design of Permanent Magnet 3318.3.2 Numerical Methods of Permanent Magnet Design 3348.4 Design of Magnet for Engineering Applications 3418.4.1 MRI Permanent Magnets 3418.4.2 AMS with Permanent Magnet 3498.4.3 Structure of Six-Pole Permanent Magnet 3548.4.4 Magnetic Resonance Imaging Logging 3548.4.5 Q&A Vacuum Birefringence Experimental Magnet 3598.4.6 Permanent Magnets for Magnetic Resonance Molecular Imaging 3628.5 Summary 364References 3659 Shimming Magnetic Field 3679.1 Magnetostatic Principle for Shimming Magnetic Field 3679.2 Design Method for Active Shimming Coil 3729.2.1 Axial Shim Design 3729.2.2 Radial Coil Design 3829.2.3 Shim Design by Arbitrary Current Distribution 3979.2.4 Target-Field Method for MRI Shim Coils 4009.3 Current Calculation for Active Shim Coils 4119.4 Passive Shimming Design Method 4149.4.1 Magnetic Field Produced by Magnetic Material 4159.4.2 Mathematical Optimization Model 4169.5 Summary 420References 42010 Electromechanical Effects and Forces on the Magnet 42310.1 Magnetostatic Electromechanical Effects on the Solenoid 42310.1.1 Analytical Method for the Stress Problem in a Solenoid 42310.1.2 Semi-Analytical Method for the S Practical Design of Magnetostatic Structure Using Numerical Simulation: InhaltsangabeForeword xiPreface xiii1 Introduction to Magnet Technology 11.1 Magnet Classification 11.2 Scientific Discoveries in High Magnetic Field 31.3 High Field Magnets for Applications 31.3.1 Magnets in Energy Science 41.3.2 Magnets in Condensed Matter Physics 41.3.3 Magnets in NMR and MRI 51.3.4 Magnets in Scientific Instruments and Industry 61.4 Structure of Magnets 71.4.1 Configuration of Solenoid Magnet 71.4.2 Racetrack and Saddle-Shaped Magnets 71.4.3 Structure of Other Complicated Magnets 101.5 Development Trends in High Field Magnets 101.6 Numerical Methods for Magnet Design 121.7 Summary 14References 142 Magnetostatic Equations for the Magnet Structure 172.1 Basic Law of Macroscopic Electromagnetic Phenomena 172.1.1 Biot&ndash Savart Law 172.1.2 Faraday&rsquo s Law 182.2 Mathematical Basis of Classical Electromagnetic Theory 202.2.1 Gauss&rsquo s Theorem 202.2.2 Stokes&rsquo Theorem 202.2.3 Green&rsquo s Theorem 212.2.4 Helmholtz&rsquo s Theorem 212.3 Equations of Magnetostatic Fields 252.3.1 Static Magnetic Field Generated by Constant Current in Free Space 252.3.2 Basic Properties of Static Magnetic Field 262.3.3 Magnetic Media in Static Magnetic Field 292.3.4 Boundary Conditions of Magnetostatic Field 322.3.5 Boundary-Value Problem of Static Magnetic Field 342.3.6 Summary of Equations of Magnetostatic Problem 352.4 Summary 37References 373 Finite Element Analysis for the Magnetostatic Field 393.1 Introduction 393.1.1 Basic Concept of the FEM 393.1.2 Basic Steps of the FEM 403.2 Functional Construction for Static Magnetic Field 413.3 Discretization and Interpolation Function of Solution Domain 443.3.1 Principle of Selecting Subdivisions in the Domain 453.3.2 Selection of Interpolation Function 453.3.3 Unified Expressions of Interpolation Function 673.4 Formulation of System Equations 683.4.1 Two-Dimensional Cartesian Coordinate System 693.4.2 Three-Dimensional Cartesian Coordinate System 703.4.3 Axially Symmetric Scalar Potential System 713.5 Solution of System Equation for the FEM 743.6 Applied FEM for Magnet Design 763.6.1 Magnetic Field for a Superconducting Magnet with LTS and HTS 763.6.2 Magnetic Field for a Superferric Dipole Magnet 783.6.3 Force Characteristics of a Superconducting Ball in Magnetic Field 813.7 Summary 87References 874 Integral Method for the Magnetostatic Field 894.1 Integral Equation of Static Magnetic Field 894.2 Magnetic Field from Current-Carrying Conductor 914.2.1 Magnetic Field Generated by Rectangular Conductor 914.2.2 Magnetic Field of Arc-Shaped Winding 964.2.3 Magnetic Field Generated by Solenoid Coil 1144.2.4 Magnetic Field of Elliptical Cross-Section Winding 1194.2.5 Parallel Plane Field 1224.2.6 Magnetic Field ofWedge-Shaped Current Block with Triangular Cross-Section 1234.2.7 Magnetic Field of Wedge-Shaped Structure with Rectangul 5.2.3 Design of High Temperature Superconducting Coils 1775.3 Design of Resistive Magnets 1815.3.1 Resistive Magnet with Nonuniform Current Distribution 1835.3.2 Structure of Bitter Resistive Magnets 1845.3.3 Resistive Magnet with Iron Yoke 1865.4 Engineering Design for Superconducting Magnets 1865.4.1 10 T Cryogen-Free Superconducting Magnet 1865.4.2 Split Superconducting Magnet System with Large Crossing Warm Bore 1885.4.3 Superconducting Magnet with Persistent Current Switch 1925.4.4 Ultrahigh Field Superconducting Magnet 1945.4.5 A Bi2223 Split Pair Superconducting Magnet for a Propulsion Experiment 1955.5 Summary 201References 2016 Series Analysis of Axially Symmetric Magnetic Field 2056.1 Laplace&rsquo s Equation in Spherical Coordinates 2056.1.1 Legendre Equation and Polynomial 2066.1.2 Orthogonality of the Legendre Polynomial 2086.1.3 Associated Legendre Function and Spherical Harmonics Ylm(u,f) 2106.1.4 Addition Theorem of Spherical Harmonic Functions 2126.1.5 Magnetic Vector of Loop Current with Series Expression 2146.1.6 Magnetic Scalar Potential of Loop Current with Series Expression 2166.1.7 Magnetic Field of Zonal Current with Series Expression 2186.2 Series Expression of the Boundary-Value Problem 2236.2.1 Expansion of Magnetic Induction of Circular Current Filaments 2246.2.2 Expansion of the Magnetic Induction for Solenoid Coils 2266.2.3 Expansion of Magnetic Induction of Solenoid at any Position on the z-Axis 2276.2.4 Expansion of Magnetic Fields with Multi-Current Filaments 2326.2.5 Expansion of Magnetic Field of Magnetization Loop 2336.2.6 Calculation of Expansion Coefficients of Arc-Type Coils 2356.3 Magnetic Induction of Helical Coils 2426.3.1 Magnetic Field Calculation of Helical Current Filaments 2426.3.2 Magnetic Induction Generated by Helical Coils 2436.4 Magnetic Field of Multi-Coil Combination 2476.4.1 Configuration of Highly Homogeneous Field 2476.4.2 Determination Methods for Parameters of Multi-Section Magnets 2486.5 Applied Magnetic Field Series Expansion 2496.5.1 Magnetic Field for a Surgical Magnetic Navigation System 2496.5.2 Force of Superconducting Sphere in the Magnetic Field 2526.5.3 Design of Superconducting Magnet Shim Coils 2596.6 Summary 261References 2617 High Field Magnet with High Homogeneity 2637.1 Definition of Magnetic Field Homogeneity 2637.2 Requirements for Magnets with High Homogeneity 2647.2.1 Large-Bore MRI Magnet System for Medical Research and ClinicalApplications 2647.2.2 Electronic Cyclotron and Focused Magnet System 2677.2.3 High Homogeneity Magnet for Scientific Instruments 2677.2.4 Main Constraint Conditions of Inverse Problem for High HomogeneityMagnet 2697.3 Design of High Homogeneity Magnet 2717.3.1 Review of Inverse Problem 2717.3.2 Continuous Current Distribution Method 2737.3.3 Solving Nonlinear Equations for the Coil Design 2777.3.4 Combined Linear and Nonlinear Method for Inverse Problem 2797.3.5 Regularization Method for Inverse Problem 2817.3.6 Ferromagnetic Shielding of Superconductin Permanent Materials 3248.2.2 Selection of Soft Magnetic Materials 3268.3 Permanent Magnet Structure Design 3318.3.1 Magnetic Circuit Design of Permanent Magnet 3318.3.2 Numerical Methods of Permanent Magnet Design 3348.4 Design of Magnet for Engineering Applications 3418.4.1 MRI Permanent Magnets 3418.4.2 AMS with Permanent Magnet 3498.4.3 Structure of Six-Pole Permanent Magnet 3548.4.4 Magnetic Resonance Imaging Logging 3548.4.5 Q&A Vacuum Birefringence Experimental Magnet 3598.4.6 Permanent Magnets for Magnetic Resonance Molecular Imaging 3628.5 Summary 364References 3659 Shimming Magnetic Field 3679.1 Magnetostatic Principle for Shimming Magnetic Field 3679.2 Design Method for Active Shimming Coil 3729.2.1 Axial Shim Design 3729.2.2 Radial Coil Design 3829.2.3 Shim Design by Arbitrary Current Distribution 3979.2.4 Target-Field Method for MRI Shim Coils 4009.3 Current Calculation for Active Shim Coils 4119.4 Passive Shimming Design Method 4149.4.1 Magnetic Field Produced by Magnetic Material 4159.4.2 Mathematical Optimization Model 4169.5 Summary 420References 42010 Electromechanical Effects and Forces on the Magnet 42310.1 Magnetostatic Electromechanical Effects on the Solenoid 42310.1.1 Analytical Method for the Stress Problem in a Solenoid 42310.1.2 Semi-Analytical Method for the S Materials Science Elektrotechnik u. Elektronik Electrical & Electronics Engi, John Wiley & Sons

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Practical Design of Magnetostatic Structure Using Numerical Simulation - Qiuliang Wang
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2016

ISBN: 9781118398166

ID: 9781118398166

InhaltsangabeForeword xiPreface xiii1 Introduction to Magnet Technology 11.1 Magnet Classification 11.2 Scientific Discoveries in High Magnetic Field 31.3 High Field Magnets for Applications 31.3.1 Magnets in Energy Science 41.3.2 Magnets in Condensed Matter Physics 41.3.3 Magnets in NMR and MRI 51.3.4 Magnets in Scientific Instruments and Industry 61.4 Structure of Magnets 71.4.1 Configuration of Solenoid Magnet 71.4.2 Racetrack and Saddle-Shaped Magnets 71.4.3 Structure of Other Complicated Magnets 101.5 Development Trends in High Field Magnets 101.6 Numerical Methods for Magnet Design 121.7 Summary 14References 142 Magnetostatic Equations for the Magnet Structure 172.1 Basic Law of Macroscopic Electromagnetic Phenomena 172.1.1 Biot& ndash Savart Law 172.1.2 Faraday& rsquo s Law 182.2 Mathematical Basis of Classical Electromagnetic Theory 202.2.1 Gauss& rsquo s Theorem 202.2.2 Stokes& rsquo Theorem 202.2.3 Green& rsquo s Theorem 212.2.4 Helmholtz& rsquo s Theorem 212.3 Equations of Magnetostatic Fields 252.3.1 Static Magnetic Field Generated by Constant Current in Free Space 252.3.2 Basic Properties of Static Magnetic Field 262.3.3 Magnetic Media in Static Magnetic Field 292.3.4 Boundary Conditions of Magnetostatic Field 322.3.5 Boundary-Value Problem of Static Magnetic Field 342.3.6 Summary of Equations of Magnetostatic Problem 352.4 Summary 37References 373 Finite Element Analysis for the Magnetostatic Field 393.1 Introduction 393.1.1 Basic Concept of the FEM 393.1.2 Basic Steps of the FEM 403.2 Functional Construction for Static Magnetic Field 413.3 Discretization and Interpolation Function of Solution Domain 443.3.1 Principle of Selecting Subdivisions in the Domain 453.3.2 Selection of Interpolation Function 453.3.3 Unified Expressions of Interpolation Function 673.4 Formulation of System Equations 683.4.1 Two-Dimensional Cartesian Coordinate System 693.4.2 Three-Dimensional Cartesian Coordinate System 703.4.3 Axially Symmetric Scalar Potential System 713.5 Solution of System Equation for the FEM 743.6 Applied FEM for Magnet Design 763.6.1 Magnetic Field for a Superconducting Magnet with LTS and HTS 763.6.2 Magnetic Field for a Superferric Dipole Magnet 783.6.3 Force Characteristics of a Superconducting Ball in Magnetic Field 813.7 Summary 87References 874 Integral Method for the Magnetostatic Field 894.1 Integral Equation of Static Magnetic Field 894.2 Magnetic Field from Current-Carrying Conductor 914.2.1 Magnetic Field Generated by Rectangular Conductor 914.2.2 Magnetic Field of Arc-Shaped Winding 964.2.3 Magnetic Field Generated by Solenoid Coil 1144.2.4 Magnetic Field of Elliptical Cross-Section Winding 1194.2.5 Parallel Plane Field 1224.2.6 Magnetic Field ofWedge-Shaped Current Block with Triangular Cross-Section 1234.2.7 Magnetic Field of Wedge-Shaped Structure with Rectangul 5.2.3 Design of High Temperature Superconducting Coils 1775.3 Design of Resistive Magnets 1815.3.1 Resistive Magnet with Nonuniform Current Distribution 1835.3.2 Structure of Bitter Resistive Magnets 1845.3.3 Resistive Magnet with Iron Yoke 1865.4 Engineering Design for Superconducting Magnets 1865.4.1 10 T Cryogen-Free Superconducting Magnet 1865.4.2 Split Superconducting Magnet System with Large Crossing Warm Bore 1885.4.3 Superconducting Magnet with Persistent Current Switch 1925.4.4 Ultrahigh Field Superconducting Magnet 1945.4.5 A Bi2223 Split Pair Superconducting Magnet for a Propulsion Experiment 1955.5 Summary 201References 2016 Series Analysis of Axially Symmetric Magnetic Field 2056.1 Laplace& rsquo s Equation in Spherical Coordinates 2056.1.1 Legendre Equation and Polynomial 2066.1.2 Orthogonality of the Legendre Polynomial 2086.1.3 Associated Legendre Function and Spherical Harmonics Ylm(u,f) 2106.1.4 Addition Theorem of Spherical Harmonic Functions 2126.1.5 Magnetic Vector of Loop Current with Series Expression 2146.1.6 Magnetic Scalar Potential of Loop Current with Series Expression 2166.1.7 Magnetic Field of Zonal Current with Series Expression 2186.2 Series Expression of the Boundary-Value Problem 2236.2.1 Expansion of Magnetic Induction of Circular Current Filaments 2246.2.2 Expansion of the Magnetic Induction for Solenoid Coils 2266.2.3 Expansion of Magnetic Induction of Solenoid at any Position on the z-Axis 2276.2.4 Expansion of Magnetic Fields with Multi-Current Filaments 2326.2.5 Expansion of Magnetic Field of Magnetization Loop 2336.2.6 Calculation of Expansion Coefficients of Arc-Type Coils 2356.3 Magnetic Induction of Helical Coils 2426.3.1 Magnetic Field Calculation of Helical Current Filaments 2426.3.2 Magnetic Induction Generated by Helical Coils 2436.4 Magnetic Field of Multi-Coil Combination 2476.4.1 Configuration of Highly Homogeneous Field 2476.4.2 Determination Methods for Parameters of Multi-Section Magnets 2486.5 Applied Magnetic Field Series Expansion 2496.5.1 Magnetic Field for a Surgical Magnetic Navigation System 2496.5.2 Force of Superconducting Sphere in the Magnetic Field 2526.5.3 Design of Superconducting Magnet Shim Coils 2596.6 Summary 261References 2617 High Field Magnet with High Homogeneity 2637.1 Definition of Magnetic Field Homogeneity 2637.2 Requirements for Magnets with High Homogeneity 2647.2.1 Large-Bore MRI Magnet System for Medical Research and ClinicalApplications 2647.2.2 Electronic Cyclotron and Focused Magnet System 2677.2.3 High Homogeneity Magnet for Scientific Instruments 2677.2.4 Main Constraint Conditions of Inverse Problem for High HomogeneityMagnet 2697.3 Design of High Homogeneity Magnet 2717.3.1 Review of Inverse Problem 2717.3.2 Continuous Current Distribution Method 2737.3.3 Solving Nonlinear Equations for the Coil Design 2777.3.4 Combined Linear and Nonlinear Method for Inverse Problem 2797.3.5 Regularization Method for Inverse Problem 2817.3.6 Ferromagnetic Shielding of Superconductin Permanent Materials 3248.2.2 Selection of Soft Magnetic Materials 3268.3 Permanent Magnet Structure Design 3318.3.1 Magnetic Circuit Design of Permanent Magnet 3318.3.2 Numerical Methods of Permanent Magnet Design 3348.4 Design of Magnet for Engineering Applications 3418.4.1 MRI Permanent Magnets 3418.4.2 AMS with Permanent Magnet 3498.4.3 Structure of Six-Pole Permanent Magnet 3548.4.4 Magnetic Resonance Imaging Logging 3548.4.5 Q& A Vacuum Birefringence Experimental Magnet 3598.4.6 Permanent Magnets for Magnetic Resonance Molecular Imaging 3628.5 Summary 364References 3659 Shimming Magnetic Field 3679.1 Magnetostatic Principle for Shimming Magnetic Field 3679.2 Design Method for Active Shimming Coil 3729.2.1 Axial Shim Design 3729.2.2 Radial Coil Design 3829.2.3 Shim Design by Arbitrary Current Distribution 3979.2.4 Target-Field Method for MRI Shim Coils 4009.3 Current Calculation for Active Shim Coils 4119.4 Passive Shimming Design Method 4149.4.1 Magnetic Field Produced by Magnetic Material 4159.4.2 Mathematical Optimization Model 4169.5 Summary 420References 42010 Electromechanical Effects and Forces on the Magnet 42310.1 Magnetostatic Electromechanical Effects on the Solenoid 42310.1.1 Analytical Method for the Stress Problem in a Solenoid 42310.1.2 Semi-Analytical Method for the S Practical Design of Magnetostatic Structure Using Numerical Simulation: InhaltsangabeForeword xiPreface xiii1 Introduction to Magnet Technology 11.1 Magnet Classification 11.2 Scientific Discoveries in High Magnetic Field 31.3 High Field Magnets for Applications 31.3.1 Magnets in Energy Science 41.3.2 Magnets in Condensed Matter Physics 41.3.3 Magnets in NMR and MRI 51.3.4 Magnets in Scientific Instruments and Industry 61.4 Structure of Magnets 71.4.1 Configuration of Solenoid Magnet 71.4.2 Racetrack and Saddle-Shaped Magnets 71.4.3 Structure of Other Complicated Magnets 101.5 Development Trends in High Field Magnets 101.6 Numerical Methods for Magnet Design 121.7 Summary 14References 142 Magnetostatic Equations for the Magnet Structure 172.1 Basic Law of Macroscopic Electromagnetic Phenomena 172.1.1 Biot& ndash Savart Law 172.1.2 Faraday& rsquo s Law 182.2 Mathematical Basis of Classical Electromagnetic Theory 202.2.1 Gauss& rsquo s Theorem 202.2.2 Stokes& rsquo Theorem 202.2.3 Green& rsquo s Theorem 212.2.4 Helmholtz& rsquo s Theorem 212.3 Equations of Magnetostatic Fields 252.3.1 Static Magnetic Field Generated by Constant Current in Free Space 252.3.2 Basic Properties of Static Magnetic Field 262.3.3 Magnetic Media in Static Magnetic Field 292.3.4 Boundary Conditions of Magnetostatic Field 322.3.5 Boundary-Value Problem of Static Magnetic Field 342.3.6 Summary of Equations of Magnetostatic Problem 352.4 Summary 37References 373 Finite Element Analysis for the Magnetostatic Field 393.1 Introduction 393.1.1 Basic Concept of the FEM 393.1.2 Basic Steps of the FEM 403.2 Functional Construction for Static Magnetic Field 413.3 Discretization and Interpolation Function of Solution Domain 443.3.1 Principle of Selecting Subdivisions in the Domain 453.3.2 Selection of Interpolation Function 453.3.3 Unified Expressions of Interpolation Function 673.4 Formulation of System Equations 683.4.1 Two-Dimensional Cartesian Coordinate System 693.4.2 Three-Dimensional Cartesian Coordinate System 703.4.3 Axially Symmetric Scalar Potential System 713.5 Solution of System Equation for the FEM 743.6 Applied FEM for Magnet Design 763.6.1 Magnetic Field for a Superconducting Magnet with LTS and HTS 763.6.2 Magnetic Field for a Superferric Dipole Magnet 783.6.3 Force Characteristics of a Superconducting Ball in Magnetic Field 813.7 Summary 87References 874 Integral Method for the Magnetostatic Field 894.1 Integral Equation of Static Magnetic Field 894.2 Magnetic Field from Current-Carrying Conductor 914.2.1 Magnetic Field Generated by Rectangular Conductor 914.2.2 Magnetic Field of Arc-Shaped Winding 964.2.3 Magnetic Field Generated by Solenoid Coil 1144.2.4 Magnetic Field of Elliptical Cross-Section Winding 1194.2.5 Parallel Plane Field 1224.2.6 Magnetic Field ofWedge-Shaped Current Block with Triangular Cross-Section 1234.2.7 Magnetic Field of Wedge-Shaped Structure with Rectangul 5.2.3 Design of High Temperature Superconducting Coils 1775.3 Design of Resistive Magnets 1815.3.1 Resistive Magnet with Nonuniform Current Distribution 1835.3.2 Structure of Bitter Resistive Magnets 1845.3.3 Resistive Magnet with Iron Yoke 1865.4 Engineering Design for Superconducting Magnets 1865.4.1 10 T Cryogen-Free Superconducting Magnet 1865.4.2 Split Superconducting Magnet System with Large Crossing Warm Bore 1885.4.3 Superconducting Magnet with Persistent Current Switch 1925.4.4 Ultrahigh Field Superconducting Magnet 1945.4.5 A Bi2223 Split Pair Superconducting Magnet for a Propulsion Experiment 1955.5 Summary 201References 2016 Series Analysis of Axially Symmetric Magnetic Field 2056.1 Laplace& rsquo s Equation in Spherical Coordinates 2056.1.1 Legendre Equation and Polynomial 2066.1.2 Orthogonality of the Legendre Polynomial 2086.1.3 Associated Legendre Function and Spherical Harmonics Ylm(u,f) 2106.1.4 Addition Theorem of Spherical Harmonic Functions 2126.1.5 Magnetic Vector of Loop Current with Series Expression 2146.1.6 Magnetic Scalar Potential of Loop Current with Series Expression 2166.1.7 Magnetic Field of Zonal Current with Series Expression 2186.2 Series Expression of the Boundary-Value Problem 2236.2.1 Expansion of Magnetic Induction of Circular Current Filaments 2246.2.2 Expansion of the Magnetic Induction for Solenoid Coils 2266.2.3 Expansion of Magnetic Induction of Solenoid at any Position on the z-Axis 2276.2.4 Expansion of Magnetic Fields with Multi-Current Filaments 2326.2.5 Expansion of Magnetic Field of Magnetization Loop 2336.2.6 Calculation of Expansion Coefficients of Arc-Type Coils 2356.3 Magnetic Induction of Helical Coils 2426.3.1 Magnetic Field Calculation of Helical Current Filaments 2426.3.2 Magnetic Induction Generated by Helical Coils 2436.4 Magnetic Field of Multi-Coil Combination 2476.4.1 Configuration of Highly Homogeneous Field 2476.4.2 Determination Methods for Parameters of Multi-Section Magnets 2486.5 Applied Magnetic Field Series Expansion 2496.5.1 Magnetic Field for a Surgical Magnetic Navigation System 2496.5.2 Force of Superconducting Sphere in the Magnetic Field 2526.5.3 Design of Superconducting Magnet Shim Coils 2596.6 Summary 261References 2617 High Field Magnet with High Homogeneity 2637.1 Definition of Magnetic Field Homogeneity 2637.2 Requirements for Magnets with High Homogeneity 2647.2.1 Large-Bore MRI Magnet System for Medical Research and ClinicalApplications 2647.2.2 Electronic Cyclotron and Focused Magnet System 2677.2.3 High Homogeneity Magnet for Scientific Instruments 2677.2.4 Main Constraint Conditions of Inverse Problem for High HomogeneityMagnet 2697.3 Design of High Homogeneity Magnet 2717.3.1 Review of Inverse Problem 2717.3.2 Continuous Current Distribution Method 2737.3.3 Solving Nonlinear Equations for the Coil Design 2777.3.4 Combined Linear and Nonlinear Method for Inverse Problem 2797.3.5 Regularization Method for Inverse Problem 2817.3.6 Ferromagnetic Shielding of Superconductin Permanent Materials 3248.2.2 Selection of Soft Magnetic Materials 3268.3 Permanent Magnet Structure Design 3318.3.1 Magnetic Circuit Design of Permanent Magnet 3318.3.2 Numerical Methods of Permanent Magnet Design 3348.4 Design of Magnet for Engineering Applications 3418.4.1 MRI Permanent Magnets 3418.4.2 AMS with Permanent Magnet 3498.4.3 Structure of Six-Pole Permanent Magnet 3548.4.4 Magnetic Resonance Imaging Logging 3548.4.5 Q& A Vacuum Birefringence Experimental Magnet 3598.4.6 Permanent Magnets for Magnetic Resonance Molecular Imaging 3628.5 Summary 364References 3659 Shimming Magnetic Field 3679.1 Magnetostatic Principle for Shimming Magnetic Field 3679.2 Design Method for Active Shimming Coil 3729.2.1 Axial Shim Design 3729.2.2 Radial Coil Design 3829.2.3 Shim Design by Arbitrary Current Distribution 3979.2.4 Target-Field Method for MRI Shim Coils 4009.3 Current Calculation for Active Shim Coils 4119.4 Passive Shimming Design Method 4149.4.1 Magnetic Field Produced by Magnetic Material 4159.4.2 Mathematical Optimization Model 4169.5 Summary 420References 42010 Electromechanical Effects and Forces on the Magnet 42310.1 Magnetostatic Electromechanical Effects on the Solenoid 42310.1.1 Analytical Method for the Stress Problem in a Solenoid 42310.1.2 Semi-Analytical Method for the S Electrical & E, John Wiley & Sons

Neues Buch Rheinberg-Buch.de
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Practical Design of Magnetostatic Structure Using Numerical Simulation - Wang, Qiuliang
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(*)
Wang, Qiuliang:
Practical Design of Magnetostatic Structure Using Numerical Simulation - neues Buch

2013, ISBN: 1118398165

ID: 9781118398166

In englischer Sprache. Verlag: John Wiley & Sons, Foreword xi Preface xiii 1 Introduction to Magnet Technology 1 1.1 Magnet Classification 1 1.2 Scientific Discoveries in High Magnetic Field 3 1.3 High Field Magnets for Applications 3 1.4 Structure of Magnets 7 1.5 Development Trends in High Field Magnets 10 1.6 Numerical Methods for Magnet Design 12 1.7 Summary 14 References 14 2 Magnetostatic Equations for the Magnet Structure 17 2.1 Basic Law of Macroscopic Electromagnetic Phenomena 17 2.2 Mathematical Basis of Classical Electromagnetic Theory20 2.3 Equations of Magnetostatic Fields 25 2.4 Summary 37 References 37 3 Finite Element Analysis for the Magnetostatic Field 39 3.1 Introduction 39 3.2 Functional Construction for Static Magnetic Field 41 3.3 Discretization and Interpolation Function of Solution Domain44 3.4 Formulation of System Equations 68 3.5 Solution of System Equation for the FEM 74 3.6 Applied FEM for Magnet Design 76 3.7 Summary 87 References 87 4 Integral Method for the Magnetostatic Field 89 4.1 Integral Equation of Static Magnetic Field 89 4.2 Magnetic Field from Current-Carrying Conductor 91 4.3 Magnetic Field with Anisotropic Magnetization 128 4.4 Case Studies of Complex Coil Structures 139 4.5 Summary 142 References 142 5 Numerical Methods for Solenoid Coil Design 145 5.1 Magnet Materials and Performance 145 5.2 Magnetic Field of the Superconducting Solenoid 156 5.3 Design of Resistive Magnets 181 5.4 Engineering Design for Superconducting Magnets 186 5.5 Summary 201 References 201 6 Series Analysis of Axially Symmetric Magnetic Field 205 6.1 Laplace's Equation in Spherical Coordinates 205 6.2 Series Expression of the Boundary-Value Problem 223 6.3 Magnetic Induction of Helical Coils 242 6.4 Magnetic Field of Multi-Coil Combination 247 6.5 Applied Magnetic Field Series Expansion 249 6.6 Summary 261 References 261 7 High Field Magnet with High Homogeneity 263 7.1 Definition of Magnetic Field Homogeneity 263 7.2 Requirements for Magnets with High Homogeneity 264 Applications 264 Magnet 269 7.3 Design of High Homogeneity Magnet 271 7.4 Design Example of High Homogeneity Magnet 290 7.5 Design of High Field and High Homogeneity Magnet 305 7.6 Engineering Designs and Applications 309 7.7 Summary 317 References 318 8 Permanent Magnets and their Applications 321 8.1 Introduction to Magnetic Materials 321 8.2 Classification and Characteristics of Permanent Magnets324 8.3 Permanent Magnet Structure Design 331 8.4 Design of Magnet for Engineering Applications 341 8.5 Summary 364 References 365 9 Shimming Magnetic Field 367 9.1 Magnetostatic Principle for Shimming Magnetic Field 367 9.2 Design Method for Active Shimming Coil 372 9.3 Current Calculation for Active Shim Coils 411 9.4 Passive Shimming Design Method 414 9.5 Summary 420 References 420 10 Electromechanical Effects and Forces on the Magnet 423 10.1 Magnetostatic Electromechanical Effects on the Solenoid423 10.2 Averaged Model of the Magnet 435 10.3 Detailed FEM for the Ultrahigh Field Solenoid 445 10.4 Mutual Inductance and Force Calculations 459 10.5 Detailed Model for Electromechanical Stress Analysis462 10.6 Summary 472 References 473 Index 477, PC-PDF, 496 Seiten, 496 Seiten, 1., Auflage, [GR: 9684 - Nonbooks, PBS / Technik/Elektronik, Elektrotechnik, Nachrichtentechnik], [SW: - Anlagenbau Elektronik und Nachrichtentechnik (Kommunikationstechnik)], [Ausgabe: 1][PU:John Wiley & Sons]

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Practical Design Of Magnetostatic Structure Using Numerical Simulation - Wiley
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Wiley:
Practical Design Of Magnetostatic Structure Using Numerical Simulation - neues Buch

2013, ISBN: 9781118398166

ID: 17377035

Magnets are widely used in industry, medical, scientific instruments, and electrical equipment. They are the basic tools for scientific research and electromagnetic devices. Numerical methods for the magnetic field analysis combined with mathematical optimization from practical applications of the magnets have been widely studied in recent years. It is necessary for professional researchers. Magnets are widely used in industry, medical, scientific instruments, and electrical equipment. They are the basic tools for scientific research and electromagnetic devices. Numerical methods for the magnetic field analysis combined with mathematical optimization from practical applications of the magnets have been widely studied in recent years. It is necessary for professional researchers, engineers, and students to study these numerical methods for the complex magnet structure design instead of using traditional "trial-and-error" methods. Those working in this field will find this book useful as a reference to help reduce costs and obtain good magnetic field quality. Presents a clear introduction to magnet technology, followed by basic theories, numerical analysis, and practical applications Emphasizes the latest developments in magnet design, including MRI systems Provides comprehensive numerical techniques that provide solutions to practical problems Introduces the latest computation techniques for optimizing and characterizing the magnetostatic structure design Well organized and adaptable by researchers, engineers, lecturers, and students Appendix available on the Wiley Companion Website As a comprehensive treatment of the topic, Practical Design of Magnetostatic Structure Using Numerical Simulation is ideal for researchers in the field of magnets and their applications, materials scientists, structural engineers, and graduate students in electrical engineering. The book will also better equip mechanical engineers and aerospace engineers. eBooks, Technology, Engineering, Agriculture~~Energy Technology & Engineering~~Electrical Engineering, Practical Design Of Magnetostatic Structure Using Numerical Simulation~~EBook~~9781118398166~~Qiuliang Wang, , Practical Design Of Magnetostatic Structure Using Numerical Simulation, Qiuliang Wang, 9781118398166, Wiley, 03/20/2013, , , , Wiley

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Practical Design of Magnetostatic Structure Using Numerical Simulation
Autor:

Wang, Qiuliang

Titel:

Practical Design of Magnetostatic Structure Using Numerical Simulation

ISBN-Nummer:

1118398165

Detailangaben zum Buch - Practical Design of Magnetostatic Structure Using Numerical Simulation


EAN (ISBN-13): 9781118398166
ISBN (ISBN-10): 1118398165
Erscheinungsjahr: 2013
Herausgeber: Wiley, J
496 Seiten
Sprache: eng/Englisch

Buch in der Datenbank seit 25.02.2012 10:07:08
Buch zuletzt gefunden am 29.11.2015 22:01:36
ISBN/EAN: 1118398165

ISBN - alternative Schreibweisen:
1-118-39816-5, 978-1-118-39816-6

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