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EbookNice Team
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Available4.7
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ISBN 10: 1118717791
ISBN 13: 9781118717790
Author: Marian Kazimierczuk
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.
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.
Fundamentals of Magnetic Devices
1.1 Introduction
1.2 Fields
1.3 Magnetic Relationships
1.4 Magnetic Circuits
1.5 Magnetic Laws
1.6 Eddy Currents
1.7 Core Saturation
1.8 Inductance
1.9 Air Gap in Magnetic Core
1.10 Fringing Flux
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
1.15 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
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
2.9 Hysteresis
2.10 Low-Frequency Core Permeability
2.11 Core Geometries
2.12 Ferromagnetic Core Materials
2.13 Superconductors
2.14 Hysteresis Loss
2.15 Eddy-Current Core Loss
2.16 Steinmetz Empirical Equation for Total Core Loss
2.17 Core Losses for Nonsinusoidal Inductor Current
2.18 Complex Permeability of Magnetic Materials
2.19 Cooling of Magnetic Cores
2.20 Summary
2.21 References
2.22 Review Questions
2.23 Problems
Skin Effect
3.1 Introduction
3.2 Resistivity of Conductors
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
3.7 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
3.11 Skin Effect in Rectangular Foil Conductor Placed Over Ideal Core
3.12 Summary
3.13 Appendix
3.14 References
3.15 Review Questions
3.16 Problems
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
4.6 Antiproximity and Skin Effects 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
4.12 References
4.13 Review Questions
4.14 Problems
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
5.16 Winding AC Resistance with Uniform Foil Thickness
5.17 Transformation of Foil Conductor to Rectangular, Square, and Round Conductors
5.18 Winding AC Resistance of Rectangular Conductor
5.19 Winding Resistance of Square Wire
5.20 Winding Resistance of Round Wire
5.21 Inductance
5.22 Solution for Round Conductor Winding in Cylindrical Coordinates
5.23 Litz Wire
5.24 Winding Power Loss for Inductor Current with Harmonics
5.25 Winding Power Loss of Foil Inductors Conducting DC and Harmonic Currents
5.26 Winding Power Loss of Round Wire Inductors Conducting DC and Harmonic Currents
5.27 Effective Winding Resistance for Nonsinusoidal Inductor Current
5.28 Thermal Effects on Winding Resistance
5.29 Thermal Model of Inductors
5.30 Summary
5.31 Appendix
5.32 References
5.33 Review Questions
5.34 Problems
Laminated Cores
6.1 Introduction
6.2 Low-Frequency Eddy-Current Laminated Core Loss
6.3 Comparison of Solid and Laminated Cores
6.4 Alternative Solution for Low-Frequency Eddy-Current Core Loss
6.4.1 Sinusoidal Inductor Voltage
6.4.2 Square-Wave Inductor Voltage
6.4.3 Rectangular Inductor Voltage
6.5 General Solution for Eddy-Current Laminated Core Loss
6.6 Summary
6.7 References
6.8 Review Questions
6.9 Problems
Transformers
7.1 Introduction
7.2 Transformer Construction
7.3 Ideal Transformer
7.4 Voltage Polarities and Current Directions in Transformers
7.5 Nonideal Transformers
7.6 Neumann’s Formula for Mutual Inductance
7.7 Mutual Inductance
7.8 Magnetizing Inductance
7.9 Coupling Coefficient
7.10 Leakage Inductance
7.11 Dot Convention
7.12 Series-Aiding and Series-Opposing Connections
7.13 Equivalent T Network
7.14 Energy Stored in Coupled Inductors
7.15 High-Frequency Transformer Model
7.16 Stray Capacitances
7.17 Transformer Efficiency
7.18 Transformers with Gapped Cores
7.19 Multiple-Winding Transformers
7.20 Autotransformers
7.21 Measurements of Transformer Inductances
7.22 Noninterleaved Windings
7.23 Interleaved Windings
7.24 Wireless Energy Transfer
7.25 AC Current Transformers
7.26 Saturable Reactors
7.27 Transformer Winding Power Losses with Harmonics
7.28 Thermal Model of Transformers
7.29 Summary
7.30 References
7.31 Review Questions
7.32 Problems
Integrated Inductors
8.1 Introduction
8.2 Skin Effect
8.3 Resistance of Rectangular Trace with Skin Effect
8.4 Inductance of Straight Rectangular Trace
8.5 Inductance of Rectangular Trace with Skin Effect
8.6 Construction of Integrated Inductors
8.7 Meander Inductors
8.8 Inductance of Straight Round Conductor
8.9 Inductance of Circular Round Wire Loop
8.10 Inductance of Two-Parallel Wire Loop
8.11 Inductance of Rectangle of Round Wire
8.12 Inductance of Polygon Round Wire Loop
8.13 Bondwire Inductors
8.14 Single-Turn Planar Inductor
8.15 Inductance of Planar Square Loop
8.16 Planar Spiral Inductors
8.17 Multimetal Spiral Inductors
8.18 Planar Transformers
8.19 MEMS Inductors
8.20 Inductance of Coaxial Cable
8.21 Inductance of Two-Wire Transmission Line
8.22 Eddy Currents in Integrated Inductors
8.23 Model of RF-Integrated Inductors
8.24 PCB Inductors
8.25 Summary
8.26 References
8.27 Review Questions
8.28 Problems
Self-Capacitance
9.1 Introduction
9.2 High-Frequency Inductor Model
9.3 Self-Capacitance Components
9.4 Capacitance of Parallel-Plate Capacitor
9.5 Self-Capacitance of Foil Winding Inductors
9.6 Capacitance of Two Parallel Round Conductors
9.7 Capacitance of Round Conductor and Parallel Conducting Plane
9.8 Capacitance of Straight Parallel Wire Pair Over Ground
9.9 Capacitance Between Two Parallel Straight Round Conductors with Uniform Charge Density
9.10 Capacitance of Cylindrical Capacitor
9.11 Self-Capacitance of Single-Layer Inductors
9.12 Self-Capacitance of Multilayer Inductors
9.13 Self-Capacitance of Single-Layer Inductors
9.14 T-to-Y Transformation of Capacitors
9.15 Overall Self-Capacitance of Single-Layer Inductor with Core
9.16 Measurement of Self-Capacitance
9.17 Inductor Impedance
9.18 Summary
9.19 References
9.20 Review Questions
9.21 Problems
Design of Inductors
10.1 Introduction
10.2 Magnet Wire
10.3 Wire Insulation
10.4 Restrictions on Inductors
10.5 Window Utilization Factor
10.6 Temperature Rise of Inductors
10.7 Mean Turn Length of Inductors
10.8 Area Product Method
10.9 Design of AC Inductors
10.10 Inductor Design for Buck Converter in CCM
10.11 Inductor Design for Buck Converter in DCM Using Ap Method
10.12 Core Geometry Coefficient Kg Method
10.13 Inductor Design for Buck Converter in CCM Using Kg Method
10.14 Inductor Design for Buck Converter in DCM Using Kg Method
10.15 Summary
10.16 References
10.17 Review Questions
10.18 Problems
Design of Transformers
11.1 Introduction
11.2 Area Product Method
11.3 Optimum Flux Density
11.4 Area Product Ap for Sinusoidal Voltages
11.5 Transformer Design for Flyback Converter in CCM
11.6 Transformer Design for Flyback Converter in DCM
11.7 Geometrical Coefficient Kg Method
11.8 Transformer Design for Flyback Converter in CCM Using Kg Method
11.9 Transformer Design for Flyback Converter in DCM Using Kg Method
11.10 Summary
11.11 References
11.12 Review Questions
11.13 Problems
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Tags: Marian Kazimierczuk, Magnetic, Components