Foreword; Preface; Contents; Acronyms; List of Figures; List of Tables; 1 Introduction; 1.1 History of Linear Machine; 1.2 Advantages of Linear Machine; 1.3 Applications of Linear Machines; 1.3.1 Linear Machines in Military Field; 1.3.2 Linear Machines in Civilian Field; 1.3.3 Linear Machines in Logistics; 1.3.4 Linear Machines in Industrial Automation; 1.3.5 Linear Machines in Rail Transportation; 1.4 Magnet Patterns of Linear Machines; 1.5 Objective and Scope of the Study; 1.6 Book Organization; References; 2 Formulation of Magnetic Field; 2.1 Introduction

2.2 System Structure and Operating Principle2.2.1 System Overall Structure; 2.2.2 Operating Principle; 2.3 Governing Equations of Flux Field; 2.3.1 Assumptions; 2.3.2 Magnetic Characterization of Materials; 2.3.3 Governing Equations; 2.4 General Solutions to Magnetic Field; 2.4.1 General Solution to Laplace's Equation; 2.4.2 General Solution to Poisson's Equation; 2.4.3 Solutions to Flux Density Distribution; 2.4.4 Boundary Conditions; 2.5 Finite Element Analysis and Results; 2.5.1 Overall Field Distribution; 2.5.2 Magnetic Field Variation in the Magnet Region

2.5.3 Magnetic Field Variation in the Winding Region2.6 Conclusion; References; 3 Mathematical Modeling and Analysis of Force Output; 3.1 Introduction; 3.2 Formulation of Force Generation; 3.2.1 Assumptions; 3.2.2 Thrust for Single-Phase Winding Pattern; 3.2.3 Thrust for Double-Phase Winding Pattern; 3.2.4 Thrust for Three-Phase Winding Pattern; 3.3 Simulation and Validation of Force Model; 3.3.1 Force Variation for Single-Phase Machine; 3.3.2 Force Variation for Double-Phase Machine; 3.3.3 Force Variation for Three-Phase Machine; 3.4 Conclusion; References

4 Armature Reaction Field and Inductance4.1 Introduction; 4.2 Formulation of Armature Reaction Field; 4.2.1 Assumptions; 4.2.2 Governing Equations; 4.2.3 Current Source System; 4.2.4 Analytical Solutions of Magnetic Field; 4.3 Winding Inductance; 4.4 Validation by Finite Element Method; 4.4.1 Armature Reaction Field Validation; 4.4.2 Inductance Validation; 4.4.3 Comparison with Finite Length Model; 4.5 Conclusion; References; 5 Machine Design and Optimization; 5.1 Introduction; 5.2 Parameter Design of a Single Phase Machine; 5.2.1 Penalty Method; 5.2.2 Scanning Method

5.2.3 Results and Discussion5.3 Parameter Design of Three-Phase Machine; 5.3.1 Geometric Parameters of the Linear Machine; 5.3.2 Interdependence of Structure Parameter; 5.3.3 Determination of Independent Parameters; 5.3.4 Determination of Dependent Parameters; 5.4 Design of Back Iron; 5.4.1 Magnetic Circuits of Four Patterns; 5.4.2 Magnetic Field Variation in 3D Space; 5.4.3 Overall Field Distribution of Four Patterns; 5.4.4 Comparative Study of Field Distributions of Four Patterns; 5.4.5 Force Variation; 5.5 Conclusion; References; 6 Research Prototype and Experiments; 6.1 Research Prototype