Table Of ContentHIGH-FREQUENCY
MAGNETIC
COMPONENTS
HIGH-FREQUENCY
MAGNETIC
COMPONENTS
SECOND EDITION
Marian K. Kazimierczuk
Wright State University, Dayton, Ohio, USA
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LibraryofCongressCataloging-in-PublicationData
Kazimierczuk,Marian.
High-frequencymagneticcomponents/MarianK.Kazimierczuk.–Secondedition.
pagescm
Includesbibliographicalreferencesandindex.
ISBN978-1-118-71779-0(hardback)
1.Electromagneticdevices.2.Magneticdevices.I.Title.
TK7872.M25K3952009
621.3815–dc23
2013026579
AcataloguerecordforthisbookisavailablefromtheBritishLibrary.
ISBN9781118717790
Typesetin9/11ptTimesbyLaserwordsPrivateLimited,Chennai,India.
12014
To my Father
Contents
Preface xvii
About the Author xix
List of Symbols xxi
1 Fundamentals of Magnetic Devices 1
1.1 Introduction 1
1.2 Fields 2
1.3 MagneticRelationships 2
1.3.1 MagnetomotiveForce 2
1.3.2 MagneticFieldIntensity 3
1.3.3 MagneticFlux 3
1.3.4 MagneticFluxDensity 4
1.3.5 MagneticFluxLinkage 5
1.4 MagneticCircuits 6
1.4.1 Reluctance 6
1.4.2 MagneticKVL 8
1.4.3 MagneticFluxContinuity 8
1.5 MagneticLaws 9
1.5.1 Ampe`re’sLaw 9
1.5.2 Faraday’sLaw 13
1.5.3 Lenz’sLaw 15
1.5.4 Volt–SecondBalance 16
1.5.5 Ohm’sLaw 16
1.5.6 Biot–Savart’sLaw 18
1.5.7 Maxwell’sEquations 19
1.5.8 Maxwell’sEquationsforGoodConductors 24
1.5.9 Poynting’sVector 24
1.5.10 Joule’sLaw 26
1.6 EddyCurrents 29
1.7 CoreSaturation 32
1.7.1 CoreSaturationforSinusoidalInductorVoltage 34
1.7.2 CoreSaturationforSquare-Wave InductorVoltage 36
1.7.3 CoreSaturationforRectangularWave InductorVoltage 38
viii CONTENTS
1.8 Inductance 40
1.8.1 DefinitionsofInductance 40
1.8.2 InductanceofSolenoid 45
1.8.3 InductanceofInductorwithToroidalCore 47
1.8.4 InductanceofInductorwithTorusCore 49
1.8.5 InductanceofInductorwithPotCore 49
1.8.6 InductanceFactor 49
1.9 AirGapinMagneticCore 51
1.9.1 Inductance 51
1.9.2 MagneticFieldinAirGap 53
1.10 FringingFlux 54
1.10.1 FringingFluxFactor 54
1.10.2 EffectofFringingFluxonInductance forRoundAirGap 57
1.10.3 EffectofFringingFluxonInductance forRectangularAirGap 58
1.10.4 MethodofEffectiveAirGapCross-SectionalArea 60
1.10.5 MethodofEffectiveLengthofAirGap 60
1.10.6 Patridge’sFringingFactor 60
1.10.7 DistributionofFringingMagneticField 62
1.11 Inductance ofStripTransmissionLine 62
1.12 Inductance ofCoaxialCable 62
1.13 Inductance ofTwo-WireTransmissionLine 63
1.14 MagneticEnergyandMagneticEnergyDensity 64
1.14.1 MagneticEnergyDensity 64
1.14.2 MagneticEnergyStoredinInductorswithUngappedCore 64
1.14.3 MagneticEnergyStoredinInductorswithGappedCore 65
1.15 Self-ResonantFrequency 69
1.16 QualityFactorofInductors 69
1.17 ClassificationofPowerLossesinMagneticComponents 69
1.18 Noninductive Coils 71
1.19 Summary 71
1.20 References 74
1.21 ReviewQuestions 76
1.22 Problems 78
2 Magnetic Cores 81
2.1 Introduction 81
2.2 PropertiesofMagneticMaterials 81
2.3 MagneticDipoles 83
2.4 MagneticDomains 89
2.5 CurieTemperature 90
2.6 MagneticSusceptibilityandPermeability 91
2.7 Linear,Isotropic,andHomogeneous MagneticMaterials 93
2.8 MagneticMaterials 93
2.8.1 FerromagneticMaterials 93
2.8.2 AntiferromagneticMaterials 94
2.8.3 FerrimagneticMaterials 95
2.8.4 Diamagnetic Materials 95
2.8.5 ParamagneticMaterials 96
2.9 Hysteresis 96
2.10 Low-FrequencyCorePermeability 98
2.11 CoreGeometries 99
2.11.1 ToroidalCores 99
2.11.2 CCandUUCores 100
