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River Publishers Series in Communications Wireless Power Transfer 2nd edition Johnson I. Agbinya Wireless Power Transfer 2nd Edition RIVER PUBLISHERS SERIES IN COMMUNICATIONS Volume45 SeriesEditors ABBASJAMALIPOUR MARINARUGGIERI TheUniversityofSydney UniversityofRomeTorVergata Australia Italy HOMAYOUNNIKOOKAR DelftUniversityofTechnology TheNetherlands The“RiverPublishersSeriesinCommunications”isaseriesofcomprehensiveaca- demicandprofessionalbookswhichfocusoncommunicationandnetworksystems. The series focuses on topics ranging from the theory and use of systems involving allterminals,computers,andinformationprocessors;wiredandwirelessnetworks; and network layouts, protocols, architectures, and implementations. Furthermore, developments toward new market demands in systems, products, and technologies suchaspersonalcommunicationsservices,multimediasystems,enterprisenetworks, andopticalcommunicationssystemsarealsocovered. Books published in the series include research monographs, edited volumes, handbooksandtextbooks.Thebooksprovideprofessionals,researchers,educators, andadvancedstudentsinthefieldwithaninvaluableinsightintothelatestresearch anddevelopments. Topics covered in the series include, but are by no means restricted to the following: • WirelessCommunications • Networks • Security • Antennas&Propagation • Microwaves • SoftwareDefinedRadio Foralistofotherbooksinthisseries,visitwww.riverpublishers.com http://riverpublishers.com/series.php?msg=Communications Wireless Power Transfer 2nd Edition Johnson I.Agbinya MelbourneInstituteofTechnology, Australia Published,soldanddistributedby: RiverPublishers NielsJernesVej10 9220AalborgØ Denmark RiverPublishers LangeGeer44 2611PWDelft TheNetherlands Tel.:+45369953197 www.riverpublishers.com ISBN:978-87-93237-62-9(Hardback) 978-87-93237-63-6(Ebook) ©2016RiverPublishers Allrightsreserved.Nopartofthispublicationmaybereproduced,storedin aretrievalsystem,ortransmittedinanyformorbyanymeans,mechanical, photocopying,recordingorotherwise,withoutpriorwrittenpermissionof thepublishers. Contents Preface xix Acknowledgment xxvii ListofContributors xxix ListofFigures xxxi ListofTables lv ListofAbbreviations lvii 1 PowerTransferbyMagneticInductionUsing Coupled-ModeTheory 1 MihaiIordache,LuciaDumitriuandDragosNiculae 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Series–SeriesResonatorsInductivelyCoupled . . . . . . . . 3 1.2.1 AnalysisbytheCircuitTheory . . . . . . . . . . . . 3 1.2.2 AnalysisbytheCoupled-ModeTheory . . . . . . . 7 1.2.3 TransferPowerComputation . . . . . . . . . . . . . 10 1.2.4 Remark . . . . . . . . . . . . . . . . . . . . . . . . 11 1.3 MutualInductanceComputation . . . . . . . . . . . . . . . 14 1.4 EfficiencyoftheActivePowerTransffer . . . . . . . . . . . 26 1.4.1 ScatteringParametersS . . . . . . . . . . . . . . . 26 1.4.2 EfficiencyComputation . . . . . . . . . . . . . . . 29 1.5 SomeProceduresforOptimalWirelessEnergy TransferSystems . . . . . . . . . . . . . . . . . . . . . . . 35 1.5.1 Indroduction . . . . . . . . . . . . . . . . . . . . . 35 1.5.2 OptimalParameterComputingPerformance OptimizationofMagneticCoupledResonators . . . 37 1.5.3 Remarks . . . . . . . . . . . . . . . . . . . . . . . 47 v vi Contents 1.6 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . 47 1.7 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 1.8 SolutionstoProblems . . . . . . . . . . . . . . . . . . . . . 62 References. . . . . . . . . . . . . . . . . . . . . . . . . . . 68 2 EfficientWirelessPowerTransferbasedonStronglyCoupled MagneticResonance 73 FeiZhangandMinguiSun 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . 73 2.2 InteractioninLosslessPhysicalSystem . . . . . . . . . . . 74 2.3 InteractioninRealTwo-ResonatorPhysicalSystem . . . . . 77 2.3.1 FullyResonantCase . . . .√. . . . . . . . . . . . . 77 2.3.1.1 Strongcouplingk√/ ΓSΓD >>1 . . . . . 78 2.3.1.2 W√eakcouplingk/ ΓSΓD≈1or k/ Γ Γ <1 . . . . . . . . . . . . . . . 80 S D 2.3.2 GeneralNon-ResonantCase . . . . . . . . . . . . . 80 2.4 RelayEffectofWirelessPowerTransfer . . . . . . . . . . . 80 2.4.1 RelayEffect . . . . . . . . . . . . . . . . . . . . . 81 2.4.2 Time-DomainComparisonbetweenRelayed andOriginalWitricitySystems . . . . . . . . . . . . 82 2.5 WirelessPowerTransferwithMultipleResonators . . . . . 83 2.5.1 GeneralSolutionforMultipleRelays . . . . . . . . 83 2.5.2 InlineRelay(s) . . . . . . . . . . . . . . . . . . . . 84 2.5.2.1 Onerelay . . . . . . . . . . . . . . . . . 84 2.5.2.2 Tworelays . . . . . . . . . . . . . . . . . 85 2.5.2.3 Spectralanalysisofenergyexchanges . . 85 2.5.3 Optimizationof2DWPTNScheme . . . . . . . . . 87 2.5.3.1 Case1withtworelays . . . . . . . . . . . 87 2.5.3.2 Case2withtworelays . . . . . . . . . . . 87 2.5.3.3 Spectralanalysisofenergyexchanges . . 87 2.6 PrototypeofWirelessPowerTransfer . . . . . . . . . . . . 90 2.6.1 CylindricalResonatorDesign . . . . . . . . . . . . 90 2.6.2 ImplementationofCylindricalResonator . . . . . . 91 2.6.3 EvaluationofCylindricalResonator . . . . . . . . . 93 2.6.4 ApplicationofCylindricalResonator . . . . . . . . 95 2.7 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . 100 2.8 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . 101 References. . . . . . . . . . . . . . . . . . . . . . . . . . . 101 Contents vii 3 LowPowerRectennaSystemsforWirelessEnergyTransfer 105 VladMarian,ChristianVollaire,JacquesVerdierandBrunoAllard 3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . 105 3.1.1 HistoryofWirelessPowerTransfer . . . . . . . . . 106 3.1.2 WirelessPowerTransferTechniques . . . . . . . . . 108 3.1.2.1 DC-RFconversion . . . . . . . . . . . . . 110 3.1.2.2 Electromagneticwavepropagation . . . . 110 3.1.2.3 RF-DCconversion . . . . . . . . . . . . . 112 3.2 LowPowerRectennaTopologies . . . . . . . . . . . . . . . 113 3.2.1 CircuitTopologies . . . . . . . . . . . . . . . . . . 115 3.2.1.1 Series-mounteddiode . . . . . . . . . . . 116 3.2.1.2 Shunt-mounteddiode . . . . . . . . . . . 116 3.2.1.3 Voltage-doublertopology . . . . . . . . . 117 3.2.1.4 Diodebridgetopology . . . . . . . . . . 117 3.2.1.5 Transistor-basedrectennas . . . . . . . . . 118 3.2.2 RectennaAssociations . . . . . . . . . . . . . . . . 120 3.2.3 ModelingaRectenna . . . . . . . . . . . . . . . . . 122 3.2.4 ADesigner’sDilemma . . . . . . . . . . . . . . . . 124 3.2.4.1 Outputcharacteristics . . . . . . . . . . . 124 3.2.4.2 Antennaimpedanceinfluence . . . . . . . 125 3.3 ReconfigurableElectromagneticEnergyReceiver . . . . . . 130 3.3.1 TypicalApplication . . . . . . . . . . . . . . . . . . 130 3.3.2 RectennaCircuitConfiguration . . . . . . . . . . . 131 3.3.3 ReconfigurableArchitecture . . . . . . . . . . . . . 135 3.3.3.1 Antennaswitch . . . . . . . . . . . . . . 135 3.3.3.2 Globalperformance . . . . . . . . . . . . 136 3.3.3.3 Outputloadmatching . . . . . . . . . . . 141 3.4 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . 144 References. . . . . . . . . . . . . . . . . . . . . . . . . . . 144 4 WirelessPowerTransfer:Generation,Transmission,and DistributionCircuitTheoryofWirelessPowerTransfer 151 4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . 151 4.2 CriteriaforEfficientResonantWirelessPowerTransfer . . . 152 4.2.1 HighPowerFactor(cos θ=1) . . . . . . . . . . . . 153 4.2.2 HighCouplingCoefficient(k ≈1). . . . . . . . . . 153 4.2.3 HighQuality(Q >>1)Factors . . . . . . . . . . . 153 4.2.4 MatchingCircuits . . . . . . . . . . . . . . . . . . 154 4.2.5 FocusingofMagneticField . . . . . . . . . . . . . 154 viii Contents 4.3 ResonantWirelessPowerTransfer . . . . . . . . . . . . . . 154 4.3.1 Higher-OrderWPTSystems . . . . . . . . . . . . . 157 4.4 LooselyCoupledWirelessPowerTransferSystem . . . . . . 159 4.4.1 LowQ andQ . . . . . . . . . . . . . . . . . . . . 161 1 2 4.4.2 HighQ andQ . . . . . . . . . . . . . . . . . . . 161 1 2 4.5 Efficiency . . . . . . . . . . . . . . . . . . . . . . . . . . . 161 4.6 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . 163 5 InductiveWirelessPowerTransferUsingCircuitTheory 165 KyriakiFotopoulouandBrianFlynn 5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . 165 5.2 AdvantagesofInductiveCouplingforEnergyTransfer . . . 167 5.3 ApplicationsofInductivePowerTransfer . . . . . . . . . . 168 5.4 FundamentalsofInductiveCoupling . . . . . . . . . . . . . 172 5.4.1 InductiveCouplingandTransformerAction . . . . . 174 5.4.2 ResonantCircuitTopologies . . . . . . . . . . . . . 177 5.4.3 PowerTransferacrossaPoorlyCoupledLink . . . . 179 5.4.4 Near-andFar-FieldRegions . . . . . . . . . . . . . 184 5.4.5 TheImportanceoftheLoopAntenna . . . . . . . . 186 5.4.6 SmallLoopofConstantCurrent . . . . . . . . . . . 188 5.4.7 TheLoopinTransmittingMode . . . . . . . . . . . 189 5.4.8 TheLoopintheReceivingMode . . . . . . . . . . 192 5.5 MutualInductanceofCoupledCoils . . . . . . . . . . . . . 194 5.6 TheLooselyCoupledApproximation . . . . . . . . . . . . 205 5.7 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . 207 References. . . . . . . . . . . . . . . . . . . . . . . . . . . 207 6 RecentAdvancesonMagneticResonant WirelessPowerTransfer 217 MarcoDionigi,AlessandraCostanzo,FrancoMastri, MauroMongiardoandGiuseppinaMonti 6.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . 217 6.2 CoupledInductors . . . . . . . . . . . . . . . . . . . . . . . 220 6.2.1 CoupledInductors . . . . . . . . . . . . . . . . . . 220 6.2.2 TheSeriesResonantCircuit . . . . . . . . . . . . . 225 6.2.3 AddingResonatorstotheCoupledInductors . . . . 227 6.2.4 Maximum Efficiency, Maximum Power on the load, andConjugateMatching:Two-PortCase . . . . . . 230 6.2.5 MaximumEfficiency:N-portCase . . . . . . . . . 233 Contents ix 6.2.6 ScatteringMatrixRepresentationofaWirelessPower TransferNetwork . . . . . . . . . . . . . . . . . . . 235 6.3 FourCoupledResonators . . . . . . . . . . . . . . . . . . . 236 6.4 TravellingWaves,PowerWavesandConjugate ImageImpedances . . . . . . . . . . . . . . . . . . . . . . 241 6.4.1 TravellingWavesandPowerWaves . . . . . . . . . 242 6.4.2 ConjugateImageImpedances . . . . . . . . . . . . 245 6.5 MeasurementoftheResonatorQualityFactor . . . . . . . . 248 6.6 ExamplesofCoupledResonatorsforWPT . . . . . . . . . . 252 6.7 DesignoftheOscillatorPowering theResonantLink . . . . . . . . . . . . . . . . . . . . . . . 255 6.8 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . 264 6.9 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . 264 6.9.1 MATLABfunctionforsingle-loopinductance computation . . . . . . . . . . . . . . . . . . . . . 265 6.9.2 MATLABfunctionfortwocoaxialconductingloops mutualinductancecomputation . . . . . . . . . . . 265 References. . . . . . . . . . . . . . . . . . . . . . . . . . . 266 7 TechniquesforOptimalWirelessPowerTransferSystems 271 7.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . 272 7.2 FluxConentrators . . . . . . . . . . . . . . . . . . . . . . . 273 7.2.1 SplittingofCouplingCoefficients . . . . . . . . . . 273 7.2.2 DoublingofCoilRadius . . . . . . . . . . . . . . . 275 7.3 Separators . . . . . . . . . . . . . . . . . . . . . . . . . . . 276 7.3.1 Simulations . . . . . . . . . . . . . . . . . . . . . . 279 7.3.2 EffectofConcentratorQualityFactor . . . . . . . . 282 7.3.3 EffectofConcentratorRadius . . . . . . . . . . . . 284 7.4 ApproximateMagneto-InductiveArrayCoupling Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . 285 7.4.1 SystemSpecifications . . . . . . . . . . . . . . . . 286 7.4.2 PowerRelationsinInductiveSystems . . . . . . . . 287 7.4.3 AlgorithmforApproximateTransferFunction . . . . 288 7.4.4 InterpretationofAlgorithm . . . . . . . . . . . . . . 294 7.4.5 CorrectionTerms . . . . . . . . . . . . . . . . . . . 295 7.5 WirelessFeedbackModelling. . . . . . . . . . . . . . . . . 295 7.5.1 WirelessFeedback . . . . . . . . . . . . . . . . . . 299 7.5.2 Q-BasedExplanationofWirelessClosed-Loop TransferFunction . . . . . . . . . . . . . . . . . . . 301

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