High-Frequency Magnetic Components.
Title:
High-Frequency Magnetic Components.
Author:
Kazimierczuk, Marian K.
ISBN:
9781118717738
Personal Author:
Edition:
2nd ed.
Physical Description:
1 online resource (757 pages)
Contents:
Cover -- Title Page -- Copyright -- Contents -- Preface -- About the Author -- List of Symbols -- Chapter 1 Fundamentals of Magnetic Devices -- 1.1 Introduction -- 1.2 Fields -- 1.3 Magnetic Relationships -- 1.3.1 Magnetomotive Force -- 1.3.2 Magnetic Field Intensity -- 1.3.3 Magnetic Flux -- 1.3.4 Magnetic Flux Density -- 1.3.5 Magnetic Flux Linkage -- 1.4 Magnetic Circuits -- 1.4.1 Reluctance -- 1.4.2 Magnetic KVL -- 1.4.3 Magnetic Flux Continuity -- 1.5 Magnetic Laws -- 1.5.1 Amp's Law -- 1.5.2 Faraday's Law -- 1.5.3 Lenz's Law -- 1.5.4 Volt-Second Balance -- 1.5.5 Ohm's Law -- 1.5.6 Biot-Savart's Law -- 1.5.7 Maxwell's Equations -- 1.5.8 Maxwell's Equations for Good Conductors -- 1.5.9 Poynting's Vector -- 1.5.10 Joule's Law -- 1.6 Eddy Currents -- 1.7 Core Saturation -- 1.7.1 Core Saturation for Sinusoidal Inductor Voltage -- 1.7.2 Core Saturation for Square-Wave Inductor Voltage -- 1.7.3 Core Saturation for Rectangular Wave Inductor Voltage -- 1.8 Inductance -- 1.8.1 Definitions of Inductance -- 1.8.2 Inductance of Solenoid -- 1.8.3 Inductance of Inductor with Toroidal Core -- 1.8.4 Inductance of Inductor with Torus Core -- 1.8.5 Inductance of Inductor with Pot Core -- 1.8.6 Inductance Factor -- 1.9 Air Gap in Magnetic Core -- 1.9.1 Inductance -- 1.9.2 Magnetic Field in Air Gap -- 1.10 Fringing Flux -- 1.10.1 Fringing Flux Factor -- 1.10.2 Effect of Fringing Flux on Inductance for Round Air Gap -- 1.10.3 Effect of Fringing Flux on Inductance for Rectangular Air Gap -- 1.10.4 Method of Effective Air Gap Cross-Sectional Area -- 1.10.5 Method of Effective Length of Air Gap -- 1.10.6 Patridge's Fringing Factor -- 1.10.7 Distribution of Fringing Magnetic Field -- 1.11 Inductance of Strip Transmission Line -- 1.12 Inductance of Coaxial Cable -- 1.13 Inductance of Two-Wire Transmission Line.
1.14 Magnetic Energy and Magnetic Energy Density -- 1.14.1 Magnetic Energy Density -- 1.14.2 Magnetic Energy Stored in Inductors with Ungapped Core -- 1.14.3 Magnetic Energy Stored in Inductors with Gapped Core -- 1.15 Self-Resonant Frequency -- 1.16 Quality Factor of Inductors -- 1.17 Classification of Power Losses in Magnetic Components -- 1.18 Noninductive Coils -- 1.19 Summary -- 1.20 References -- 1.21 Review Questions -- 1.22 Problems -- Chapter 2 Magnetic Cores -- 2.1 Introduction -- 2.2 Properties of Magnetic Materials -- 2.3 Magnetic Dipoles -- 2.4 Magnetic Domains -- 2.5 Curie Temperature -- 2.6 Magnetic Susceptibility and Permeability -- 2.7 Linear, Isotropic, and Homogeneous Magnetic Materials -- 2.8 Magnetic Materials -- 2.8.1 Ferromagnetic Materials -- 2.8.2 Antiferromagnetic Materials -- 2.8.3 Ferrimagnetic Materials -- 2.8.4 Diamagnetic Materials -- 2.8.5 Paramagnetic Materials -- 2.9 Hysteresis -- 2.10 Low-Frequency Core Permeability -- 2.11 Core Geometries -- 2.11.1 Toroidal Cores -- 2.11.2 CC and UU Cores -- 2.11.3 Pot Cores -- 2.11.4 PQ and RM Cores -- 2.11.5 EE and EDT Cores -- 2.11.6 Planar Cores -- 2.12 Ferromagnetic Core Materials -- 2.12.1 Iron Cores -- 2.12.2 Ferrosilicon Cores -- 2.12.3 Amorphous Alloy Cores -- 2.12.4 Nickel-Iron and Cobalt-Iron Cores -- 2.12.5 Ferrite Cores -- 2.12.6 Powder Cores -- 2.12.7 Nanocrystalline Cores -- 2.13 Superconductors -- 2.14 Hysteresis Loss -- 2.15 Eddy-Current Core Loss -- 2.15.1 General Expression for Eddy-Current Core Loss -- 2.15.2 Eddy-Current Core Loss for Sinusoidal Inductor Voltage -- 2.15.3 Eddy-Current Power Loss in Round Core for Sinusoidal Flux Density -- 2.15.4 Total Core Power Loss for Sinusoidal Inductor Voltage -- 2.15.5 Eddy-Current Core Loss for Square-Wave Inductor Voltage.
2.15.6 Eddy-Current Core Loss for Rectangular Inductor Voltage -- 2.15.7 Eddy-Current Power Loss in Laminated Cores -- 2.15.8 Excess Core Loss -- 2.16 Steinmetz Empirical Equation for Total Core Loss -- 2.16.1 Losses of Ungapped Cores -- 2.16.2 Losses of Gapped Cores -- 2.17 Core Losses for Nonsinusoidal Inductor Current -- 2.18 Complex Permeability of Magnetic Materials -- 2.18.1 Series Complex Permeability -- 2.18.2 Loss Angle and Quality Factor -- 2.18.3 Complex Reluctance -- 2.18.4 Complex Inductance -- 2.18.5 Complex Impedance of Inductor -- 2.18.6 Approximation of Series Complex Permeability -- 2.18.7 Parallel Complex Permeability -- 2.18.8 Relationships Between Series and Parallel Complex Permeabilities -- 2.19 Cooling of Magnetic Cores -- 2.20 Summary -- 2.21 References -- 2.22 Review Questions -- 2.23 Problems -- Chapter 3 Skin Effect -- 3.1 Introduction -- 3.2 Resistivity of Conductors -- 3.2.1 Temperature Dependance of Resistivity -- 3.3 Skin Depth -- 3.4 AC-to-DC Winding Resistance Ratio -- 3.5 Skin Effect in Long Single Round Conductor -- 3.6 Current Density in Single Round Conductor -- 3.6.1 Bessel Differential Equation -- 3.6.2 Kelvin Functions -- 3.6.3 Approximations of Bessel's Equation Solution -- 3.6.4 Current Density J(r)/J(0) -- 3.6.5 Current Density J(r)/J(ro) -- 3.6.6 Current Density J(r)/JDC -- 3.6.7 Approximation of Current Density in Round Conductor -- 3.6.8 Impedance of Round Conductor -- 3.6.9 Approximation of Resistance and Inductance of Round Conductor -- 3.6.10 Simplified Derivation of Round Wire Resistance -- 3.7 Magnetic Field Intensity for Round Wire -- 3.8 Other Methods of Determining the Round Wire Inductance -- 3.9 Power Loss Density in Round Conductor -- 3.10 Skin Effect in Single Rectangular Plate.
3.10.1 Magnetic Field Intensity in Single Rectangular Plate -- 3.10.2 Current Density in Single Rectangular Plate -- 3.10.3 Power Loss in Single Rectangular Plate -- 3.10.4 Impedance of Single Rectangular Plate -- 3.11 Skin Effect in Rectangular Foil Conductor Placed Over Ideal Core -- 3.12 Summary -- 3.13 Appendix -- 3.13.1 Derivation of Bessel Equation for Long Round Wire -- 3.14 References -- 3.15 Review Questions -- 3.16 Problems -- Chapter 4 Proximity Effect -- 4.1 Introduction -- 4.2 Orthogonality of Skin and Proximity Effects -- 4.3 Proximity Effect in Two Parallel Round Conductors -- 4.4 Proximity Effect in Coaxial Cable -- 4.5 Proximity and Skin Effects in Two Parallel Plates -- 4.5.1 Magnetic Field in Two Parallel Plates -- 4.5.2 Current Density in Two Parallel Plates -- 4.5.3 Power Loss in Two Parallel Plates -- 4.5.4 Impedance of Each Plate -- 4.6 Antiproximity and Skin Effects in Two Parallel Plates -- 4.6.1 Magnetic Field in Two Parallel Plates -- 4.6.2 Current Density in Two Parallel Plates -- 4.6.3 Power Loss in Two Parallel Plates -- 4.7 Proximity Effect in Open-Circuit Conductor -- 4.8 Proximity Effect in Multiple-Layer Inductor -- 4.9 Self-Proximity Effect in Rectangular Conductors -- 4.10 Summary -- 4.11 Appendix -- 4.11.1 Derivation of Proximity Power Loss -- 4.12 References -- 4.13 Review Questions -- 4.14 Problems -- Chapter 5 Winding Resistance at High Frequencies -- 5.1 Introduction -- 5.2 Eddy Currents -- 5.3 Magnetic Field Intensity in Multilayer Foil Inductors -- 5.4 Current Density in Multilayer Foil Inductors -- 5.5 Winding Power Loss Density in Individual Foil Layers -- 5.6 Complex Winding Power in nth Layer -- 5.7 Winding Resistance of Individual Foil Layers -- 5.8 Orthogonality of Skin and Proximity for Individual Foil Layers.
5.9 Optimum Thickness of Individual Foil Layers -- 5.10 Winding Inductance of Individual Layers -- 5.11 Power Loss in All Layers -- 5.12 Impedance of Foil Winding -- 5.13 Resistance of Foil Winding -- 5.14 Dowell's Equation -- 5.15 Approximation of Dowell's Equation -- 5.15.1 Approximation of Dowell's Equation for Low and Medium Frequencies -- 5.15.2 Approximation of Dowell's Equation for High Frequencies -- 5.16 Winding AC Resistance with Uniform Foil Thickness -- 5.16.1 Optimum Uniform Foil Thickness of Inductor Winding for Sinusoidal Inductor Current -- 5.16.2 Boundary Between Low and Medium Frequencies for Foil Windings -- 5.17 Transformation of Foil Conductor to Rectangular, Square, and Round Conductors -- 5.18 Winding AC Resistance of Rectangular Conductor -- 5.18.1 Optimum Thickness of Rectangular Conductor for Sinusoidal Inductor Current -- 5.18.2 Boundary Between Low and Medium Frequencies for Rectangular Wire Winding -- 5.19 Winding Resistance of Square Wire -- 5.19.1 Winding AC Resistance of Square Conductor -- 5.19.2 Optimization of Square Wire Winding at Fixed Pitch -- 5.19.3 Optimization of Square Wire Winding at Fixed Porosity Factor -- 5.19.4 Critical Thickness of Square Winding Resistance -- 5.19.5 Boundary Between Low and Medium Frequencies for Square Wire Winding -- 5.20 Winding Resistance of Round Wire -- 5.20.1 AC Resistance of Round Wire Winding -- 5.20.2 Optimum Diameter of Round Wire at Fixed Pitch -- 5.20.3 Optimum Diameter of Round Wire at Fixed Porosity Factor -- 5.20.4 Critical Round Wire Diameter -- 5.20.5 Boundary Between Low and Medium Frequencies for Round Wire Winding -- 5.21 Inductance -- 5.22 Solution for Round Conductor Winding in Cylindrical Coordinates -- 5.23 Litz Wire -- 5.23.1 Litz-Wire Construction.
5.23.2 Model of Litz-Wire and Multistrand Wire Windings.
Abstract:
A unique text on the theory and design fundaments of inductors and transformers, updated with more coverage on the optimization of magnetic devices and many new design examples The first edition is popular among a very broad audience of readers in different areas of engineering and science. This book covers the theory and design techniques of the major types of high-frequency power inductors and transformers for a variety of applications, including switching-mode power supplies (SMPS) and resonant dc-to-ac power inverters and dc-to-dc power converters. It describes eddy-current phenomena (such as skin and proximity effects), high-frequency magnetic materials, core saturation, core losses, complex permeability, high-frequency winding resistance, winding power losses, optimization of winding conductors, integrated inductors and transformers, PCB inductors, self-capacitances, self-resonant frequency, core utilization factor area product method, and design techniques and procedures of power inductors and transformers. These components are commonly used in modern power conversion applications. The material in this book has been class-tested over many years in the author's own courses at Wright State University, which have a high enrolment of about a hundred graduate students per term. The book presents the growing area of magnetic component research in a textbook form, covering the foundations for analysing and designing magnetic devices specifically at high-frequencies. Integrated inductors are described, and the Self-capacitance of inductors and transformers is examined. This new edition adds information on the optimization of magnetic components (Chapter 5). Chapter 2 has been expanded to provide better coverage of core losses and complex permeability, and Chapter 9 has more in-depth coverage of self-capacitances and self-resonant frequency of
inductors. There is a more rigorous treatment of many concepts in all chapters. Updated end-of-chapter problems aid the readers' learning process, with an online solutions manual available for use in the classroom. Provides physics-based descriptions and models of discrete inductors and transformers as well as integrated magnetic devices New coverage on the optimization of magnetic devices, updated information on core losses and complex permeability, and more in-depth coverage of self-capacitances and self-resonant frequency of inductors Many new design examples and end-of-chapter problems for the reader to test their learning Presents the most up-to-date and important references in the field Updated solutions manual, now available through a companion website An up to date resource for Post-graduates and professors working in electrical and computer engineering. Research students in power electronics. Practising design engineers of power electronics circuits and RF (radio-frequency) power amplifiers, senior undergraduates in electrical and computer engineering, and R & D staff.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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