Power magnetic devices : a multi-objective design approach

Content: PREFACE XI     CHAPTER 1 OPTIMIZATION-BASED DESIGN 1     1.1 Design Approach 1     1.2 Mathematical Properties of Objective Functions 3     1.3 Single-Objective Optimization Using Newton\'s Method 5     1.4 Genetic Algorithms: Review of Biological Genetics 8     1.5 The Canonical Genetic Algorithm 11     1.6 Real-Coded Genetic Algorithms 16     1.7 Multi-Objective Optimization and the Pareto-Optimal Front 27     1.8 Multi-Objective Optimization Using Genetic Algorithms 30     1.9 Formulation of Fitness Functions for Design Problems 34     1.10 A Design Example 36     CHAPTER 2 MAGNETICS AND MAGNETIC EQUIVALENT CIRCUITS 45     2.1 Ampere\'s Law, Magnetomotive Force, and Kirchhoff\'s MMF Law for Magnetic Circuits 46     2.2 Magnetic Flux, Gauss\'s Law, and Kirchhoff\'s Flux Law for Magnetic Circuits 49     2.3 Magnetically Conductive Materials and Ohm\'s Law for Magnetic Circuits 51     2.4 Construction of the Magnetic Equivalent Circuit 61     2.5 Translation of Magnetic Circuits to Electric Circuits: Flux Linkage and Inductance 64     2.6 Representing Fringing Flux in Magnetic Circuits 70     2.7 Representing Leakage Flux in Magnetic Circuits 75     2.8 Numerical Solution of Nonlinear Magnetic Circuits 88     2.9 Permanent Magnet Materials and Their Magnetic Circuit Representation 104     2.10 Finite Element Analysis 108     CHAPTER 3 INTRODUCTION TO INDUCTOR DESIGN 113     3.1 Common Inductor Architectures 113     3.2 DC Coil Resistance 115     3.3 DC Inductor Design 118     3.4 Case Study 125     3.5 Closing Remarks 131     CHAPTER 4 FORCE AND TORQUE 133     4.1 Energy Storage in Electromechanical Devices 133     4.2 Calculation of Field Energy 135     4.3 Force from Field Energy 138     4.4 Co-Energy 139     4.5 Force from Co-Energy 143     4.6 Conditions for Conservative Fields 144     4.7 Magnetically Linear Systems 145     4.8 Torque 147     4.9 Calculating Force Using Magnetic Equivalent Circuits 148     CHAPTER 5 INTRODUCTION TO ELECTROMAGNET DESIGN 154     5.1 Common Electromagnet Architectures 154     5.2 Magnetic, Electric, and Force Analysis of an EI-Core Electromagnet 155     5.3 EI-Core Electromagnet Design 165     5.4 Case Study 171     CHAPTER 6 MAGNETIC CORE LOSS 178     6.1 Eddy Current Losses 178     6.2 Hysteresis Loss and the B-H Loop 186     6.3 Empirical Modeling of Core Loss 191     6.4 Time Domain Modeling of Core Loss 197     CHAPTER 7 TRANSFORMER DESIGN 205     7.1 Common Transformer Architectures 205     7.2 T-Equivalent Circuit Model 207     7.3 Steady-State Analysis 211     7.4 Transformer Performance Considerations 213     7.5 Core-Type Transformer Configuration 223     7.6 Core-Type Transformer MEC 230     7.7 Core Loss 236     7.8 Core-Type Transformer Design 238     7.9 Case Study 245     7.10 Closing Remarks 252     CHAPTER 8 DISTRIBUTED WINDINGS AND ROTATING ELECTRIC MACHINERY 254     8.1 Describing Distributed Windings 254     8.2 Winding Functions 265     8.3 Air-Gap Magnetomotive Force 268     8.4 Rotating MMF 272     8.5 Flux Linkage and Inductance 273     8.6 Slot Effects and Carter\'s Coefficient 276     8.7 Leakage Inductance 278     8.8 Resistance 283     8.9 Introduction to Reference Frame Theory 284     8.10 Expressions for Torque 290     CHAPTER 9 INTRODUCTION TO PERMANENT MAGNET AC MACHINE DESIGN 299     9.1 Permanent Magnet Synchronous Machines 299     9.2 Operating Characteristics of PMAC Machines 301     9.3 Machine Geometry 309     9.4 Stator Winding 315     9.5 Material Parameters 318     9.6 Stator Currents and Control Philosophy 319     9.7 Radial Field Analysis 320     9.8 Lumped Parameters 325     9.9 Ferromagnetic Field Analysis 327     9.10 Formulation of Design Problem 333     9.11 Case Study 339     9.12 Extensions 346     CHAPTER 10 INTRODUCTION TO THERMAL EQUIVALENT CIRCUITS 349     10.1 Heat Energy, Heat Flow, and the Heat Equation 349     10.2 Thermal Equivalent Circuit of One-Dimensional Heat Flow 352     10.3 Thermal Equivalent Circuit of a Cuboidal Region 359     10.4 Thermal Equivalent Circuit of a Cylindrical Region 363     10.5 Inhomogeneous Regions 370     10.6 Material Boundaries 377     10.7 Thermal Equivalent Circuit Networks 379     10.8 Case Study: Thermal Model of Electromagnet 385     CHAPTER 11 AC CONDUCTOR LOSSES 403     11.1 Skin Effect in Strip Conductors 403     11.2 Skin Effect in Cylindrical Conductors 410     11.3 Proximity Effect in a Single Conductor 414     11.4 Independence of Skin and Proximity Effects 416     11.5 Proximity Effect in a Group of Conductors 418     11.6 Relating Mean-Squared Field and Leakage Permeance 422     11.7 Mean-Squared Field for Select Geometries 423     11.8 Conductor Losses in Rotating Machinery 428     11.9 Conductor Losses in a UI-Core Inductor 432     11.10 Closing Remarks 436     References 437     Problems 437     APPENDIX A CONDUCTOR DATA AND WIRE GAUGES 439     APPENDIX B SELECTED FERRIMAGNETIC CORE DATA 441     APPENDIX C SELECTED MAGNETIC STEEL DATA 443     APPENDIX D SELECTED PERMANENT MAGNET DATA 445     APPENDIX E PHASOR ANALYSIS 446     APPENDIX F TRIGONOMETRIC IDENTITIES 453     INDEX 455