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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

Rheinberg-Buch.de
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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 Materials Science Elektrotechnik u. Elektronik Electrical & Electronics Engi, John Wiley & Sons

Rheinberg-Buch.de
Shipping costs:Ab 20¤ Versandkostenfrei in Deutschland, Sofort lieferbar, DE. (EUR 0.00)
Details... |

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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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 applicationsEmphasizes the latest developments in magnet design, including MRI systemsProvides comprehensive numerical techniques that provide solutions to practical problemsIntroduces the latest computation techniques for optimizing and characterizing the magnetostatic structure designWell organized and adaptable by researchers, engineers, lecturers, and studentsAppendix available on the Wiley Companion WebsiteAs 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.; PDF \ Vijay P. Singh; Scientific, Technical and Medical > Physics > Electricity, electromagnetism & magnetism, Wiley

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** Details of the book - Practical Design of Magnetostatic Structure Using Numerical Simulation**

EAN (ISBN-13): 9781118398166

ISBN (ISBN-10): 1118398165

Publishing year: 2013

Publisher: Wiley, J

496 Pages

Language: eng/Englisch

Book in our database since 25.02.2012 10:07:08

Book found last time on 25.11.2017 18:47:37

ISBN/EAN: 1118398165

ISBN - alternate spelling:

1-118-39816-5, 978-1-118-39816-6

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