Design of ultra wideband power transfer networks

777 Pages·2010·6.105 MB·English

by  Binboga Siddik Yarman, Wiley InterScience (Online service)

DESIGN OF ULTRA
WIDEBAND POWER
TRANSFER NETWORKS

DESIGN OF ULTRA
WIDEBAND POWER
TRANSFER NETWORKS
Binboga Siddik Yarman
CollegeofEngineering,
DepartmentofElectrical-ElectronicsEngineering,
IstanbulUniversity,34320Avcilar,Istanbul,Turkey.
Thiseditionfirstpublished2010
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LibraryofCongressCataloging-in-PublicationData
Yarman,BinbogaSiddik.
Designofultrawidebandpowertransfernetworks/byBinbogaSiddikYarman.
p.cm.
Includesbibliographicalreferencesandindex.
ISBN978-0-470-31989-5(cloth)
1. Ultra-widebandantennas—Designandconstruction. 2. Broadbandcommunication
systems—Powersupply—Designandconstruction. 3. Telecommunicationlines—Designand
construction. 4. Broadbandamplifiers—Designandconstruction. 5. Impedancematching.
6. Electricpowertransmission. I. Title.
TK7871.67.U45Y372010
621.3840135—dc22
2009047980
AcataloguerecordforthisbookisavailablefromtheBritishLibrary.
ISBN978-0-470-31989-5
Setin9/11ptTimesbyIntegraSoftwareServicesPvt.Ltd,Pondicherry,India
PrintedinSingaporebyMarkonoPrintMediaPteLtd.
Thisbookisdedicatedtomywife,Prof.DrMd.SemaYarman,andmyson,DrCanEvren
Yarman,fortheircontinuoussupport,endlesspatienceandlove.

Contents
AbouttheAuthor xiii
Preface xv
1 CircuitTheoryforPowerTransferNetworks 1
1.1 Introduction 1
1.2 IdealCircuitElements 2
1.3 AveragePowerDissipationandEffectiveVoltageandCurrent 3
1.4 DefinitionsofVoltageandCurrentPhasors 5
1.5 DefinitionsofActive,PassiveandLosslessOne-ports 6
1.6 DefinitionofResistor 6
1.7 DefinitionofCapacitor 7
1.8 DefinitionofInductor 8
1.9 DefinitionofanIdealTransformer 11
1.10 CoupledCoils 12
1.11 Definitions:LaplaceandFourierTransformationsofa
TimeDomainFunctionf(t) 12
1.12 UsefulMathematicalPropertiesofLaplaceandFourier
TransformsofaCausalFunction 14
1.13 NumericalEvaluationofHilbertTransform 20
1.14 Convolution 21
1.15 SignalEnergy 21
1.16 DefinitionofImpedanceandAdmittance 22
1.17 ImmittanceofOne-portNetworks 23
1.18 Definition:‘PositiveRealFunctions’ 25
2 ElectromagneticFieldTheoryforPowerTransferNetworks:Fields,
WavesandLumpedCircuitModels 35
2.1 Introduction 35
2.2 Coulomb’sLawandElectricFields 36
2.3 DefinitionofElectricField 37
2.4 DefinitionofElectricPotential 38
2.5 UnitsofForce,EnergyandPotential 41
2.6 UniformElectricField 42
2.7 UnitsofElectricField 43
2.8 DefinitionofDisplacementVectoror‘ElectricFluxDensityVector’D 43
2.9 BoundaryConditionsinanElectricField 46
viii Contents
2.10 DifferentialRelationbetweenthePotentialandtheElectricField 47
2.11 ParallelPlateCapacitor 49
2.12 CapacitanceofaTransmissionLine 52
2.13 CapacitanceofCoaxialCable 54
2.14 ResistanceofaConductorofLengthL:Ohm’sLaw 55
2.15 PrincipleofChargeConservationandtheContinuityEquation 60
2.16 EnergyDensityinanElectricField 61
2.17 TheMagneticField 61
2.18 GenerationofMagneticFields:Biot–SavartandAmpe`re’sLaw 64
2.19 DirectionofMagneticField:RightHandRule 67
2.20 UnitofMagneticField:RelatedQuantities 67
2.21 UnitofMagneticFluxDensityB 68
2.22 UnitofMagneticFlux(cid:2) 68
2.23 DefinitionofInductanceL 68
2.24 PermeabilitymanditsUnit 69
2.25 MagneticForcebetweenTwoParallelWires 70
2.26 MagneticFieldGeneratedbyaCircularCurrent-CarryingWire 71
2.27 MagneticFieldofaTidilyWiredSolenoidofNTurns 73
2.28 TheToroid 73
2.29 InductanceofN-TurnWireLoops 74
2.30 InductanceofaCoaxialTransmissionLine 76
2.31 ParallelWireTransmissionLine 81
2.32 Faraday’sLaw 82
2.33 EnergyStoredinaMagneticField 83
2.34 MagneticEnergyDensityinaGivenVolume 83
2.35 Transformer 84
2.36 MutualInductance 87
2.37 BoundaryConditionsandMaxwellEquations 89
2.38 SummaryofMaxwellEquationsandElectromagneticWavePropagation 96
2.39 PowerFlowinElectromagneticFields:Poynting’sTheorem 101
2.40 GeneralFormofElectromagneticWaveEquation 101
2.41 SolutionsofMaxwellEquationsUsingComplexPhasors 103
2.42 DeterminationoftheElectromagneticFieldDistributionof
aShortCurrentElement:HertzianDipoleProblem 105
2.43 AntennaLoss 108
2.44 MagneticDipole 108
2.45 LongStraightWireAntenna:Half-WaveDipole 109
2.46 FourierTransformofMaxwellEquations:PhasorRepresentation 110
3 TransmissionLinesforCircuitDesigners:TransmissionLines
asCircuitElements 117
3.1 IdealTransmissionLines 117
3.2 TimeDomainSolutionsofVoltageandCurrentWaveEquations 122
3.3 ModelforaTwo-PairWireTransmissionLineasanIdealTEMLine 122
3.4 ModelforaCoaxialCableasanIdealTEMLine 123
3.5 FieldSolutionsforTEMLines 123
3.6 PhasorSolutionsforIdealTEMLines 124
3.7 SteadyStateTimeDomainSolutionsforVoltageandCurrent
atAnyPointzontheTEMLine 125
3.8 TransmissionLinesasCircuitElements 126