Electromagnetic Linear Machines with Dual Halbach Array (eBook)

Foreword 6
Preface 8
Contents 11
Acronyms 14
List of Figures 15
List of Tables 18
1 Introduction 19
1.1 History of Linear Machine 19
1.2 Advantages of Linear Machine 20
1.3 Applications of Linear Machines 20
1.3.1 Linear Machines in Military Field 21
1.3.2 Linear Machines in Civilian Field 21
1.3.3 Linear Machines in Logistics 23
1.3.4 Linear Machines in Industrial Automation 25
1.3.5 Linear Machines in Rail Transportation 25
1.4 Magnet Patterns of Linear Machines 25
1.5 Objective and Scope of the Study 30
1.6 Book Organization 33
References 33
2 Formulation of Magnetic Field 35
2.1 Introduction 35
2.2 System Structure and Operating Principle 36
2.2.1 System Overall Structure 36
2.2.2 Operating Principle 38
2.3 Governing Equations of Flux Field 38
2.3.1 Assumptions 39
2.3.2 Magnetic Characterization of Materials 39
2.3.3 Governing Equations 39
2.4 General Solutions to Magnetic Field 40
2.4.1 General Solution to Laplace's Equation 40
2.4.2 General Solution to Poisson's Equation 43
2.4.3 Solutions to Flux Density Distribution 45
2.4.4 Boundary Conditions 46
2.5 Finite Element Analysis and Results 46
2.5.1 Overall Field Distribution 46
2.5.2 Magnetic Field Variation in the Magnet Region 48
2.5.3 Magnetic Field Variation in the Winding Region 49
2.6 Conclusion 51
References 51
3 Mathematical Modeling and Analysis of Force Output 53
3.1 Introduction 53
3.2 Formulation of Force Generation 55
3.2.1 Assumptions 55
3.2.2 Thrust for Single-Phase Winding Pattern 55
3.2.3 Thrust for Double-Phase Winding Pattern 58
3.2.4 Thrust for Three-Phase Winding Pattern 60
3.3 Simulation and Validation of Force Model 65
3.3.1 Force Variation for Single-Phase Machine 66
3.3.2 Force Variation for Double-Phase Machine 66
3.3.3 Force Variation for Three-Phase Machine 67
3.4 Conclusion 69
References 69
4 Armature Reaction Field and Inductance 71
4.1 Introduction 71
4.2 Formulation of Armature Reaction Field 72
4.2.1 Assumptions 72
4.2.2 Governing Equations 72
4.2.3 Current Source System 73
4.2.4 Analytical Solutions of Magnetic Field 75
4.3 Winding Inductance 80
4.4 Validation by Finite Element Method 81
4.4.1 Armature Reaction Field Validation 83
4.4.2 Inductance Validation 85
4.4.3 Comparison with Finite Length Model 85
4.5 Conclusion 85
References 85
5 Machine Design and Optimization 87
5.1 Introduction 87
5.2 Parameter Design of a Single Phase Machine 88
5.2.1 Penalty Method 89
5.2.2 Scanning Method 91
5.2.3 Results and Discussion 92
5.3 Parameter Design of Three-Phase Machine 93
5.3.1 Geometric Parameters of the Linear Machine 93
5.3.2 Interdependence of Structure Parameter 94
5.3.3 Determination of Independent Parameters 99
5.3.4 Determination of Dependent Parameters 100
5.4 Design of Back Iron 102
5.4.1 Magnetic Circuits of Four Patterns 102
5.4.2 Magnetic Field Variation in 3D Space 102
5.4.3 Overall Field Distribution of Four Patterns 105
5.4.4 Comparative Study of Field Distributions of Four Patterns 105
5.4.5 Force Variation 110
5.5 Conclusion 111
References 115
6 Research Prototype and Experiments 116
6.1 Research Prototype 116
6.2 Experimental Investigation on Magnetic Field 118
6.2.1 Experimental Apparatus of Magnetic Field Measurement 118
6.2.2 Magnetic Field Variation in the Radial Direction 119
6.2.3 Magnetic Field Variation in the Axial Direction 120
6.2.4 Magnetic Field Variation in the Circumferential Direction 121
6.2.5 Prediction of Machine Performance 122
6.3 Experiments on Force Output 126
6.3.1 Measuring Platform of Force Output 126
6.3.2 Experiments on Force Output and Comparison 127
6.4 Experimental Investigation on Armature Reaction Field 128
6.5 Experimental Investigation on Inductance and Comparison 130
6.6 Conclusion 136
References 136
7 Conclusion 138
Index 140