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xDSLTransformerTommyxDSL()(SignalDistortion)InsertionLossAirGapxDSL(THD)InsertionLossac(f)BgP(f)DataRate(FrequencyBand)U“”Ex:U=5Volt,f=10kHz,N=30,Ae=19.5mm(forEP13)UfNAe2B=192.3mTT38;Ungapped18,000fts18Kft.à18Kft.ààààà10volt10kHz0.00020.00040.00060.00080.001-10-55101.5volt50kHz0.00020.00040.00060.00080.001-1.5-1-0.50.511.50.00020.00040.00060.00080.001-10-55100.000050.00010.000150.0002-10-55100.000050.00010.000150.0002-1.5-1-0.50.511.50.000050.00010.000150.0002-10-5510!!!0.000050.00010.000150.0002-10-551010volt,10kHz+1.5volt,300kHz~mV-----4-224-2-112x3(IEC401)TotalHarmonicDistortionTHD~k==0.6*tanh3ThirdharmonicU3U1,tanh=**BBe^THDVe=Ae*leCDFBCoreBobbink(~THD)3FerriteCoresForxDSL:OptimumSelectionIEEE,H.Meuche,EPCOS,1999ForEP13CDF=0.19mm-4.5ForCopper=17.2E-9mCufCu0.5()DTC-DistortionTransformerCoefficient-DTC()()k3Ck3C=k3*DTC2004006008001000-65-60-55-50dBkHzEP130.3E-6(1/mT)N2:N1=2:1L1=2mHU=1.5Vf=5kHzDCR1=1.5DCR2=2.0=17.2E-9(m)f=0.5Rs=50RL=140BCuCuk0.0023=-53dB3DTC=-19dBk=k*DTC-72dB3C3–I.kv.s.L13C0.00050.0010.00150.002-78-77-76-75-74-73-72L1(H)dB1.522.533.54-76-74-72-70-68-66kv.s.N2/N13CdBN2/N1kv.s.R13C0.51.522.53-73-72-71-70-69-68-670.51.522.53-70-65-60kv.s.R23CdBdB–II.kv.s.freq.3C100200300400500-150-140-130-120-110-100dBkHzkv.s.Rs3Ckv.s.RL3Ckv.s.fCu3C405060708090100-73-72-71100120140160180-74-73-72-710.20.40.60.8-80-60-40-20dBdBdBInsertionLossfIfIIaIaII??InsertionLossTransformerLoss2mH0.02mHN1/N2=0.550140a0=1dBfI=1.64kHzfII=676.4kHz1002003004005006001.522.533.544.5a0=1dBInsertionLoss(dB)16.467.6676.4kHzLF-RegionMid-BandRegionHF-Regiona0+3dB??5101520253035123456LFInsertionLoss(dB)kHz1mH2mH4mH8mH(N1/N2)5101520252468kHz0.60.50.40.332.76kHz4kHz19.9kHz8kHzInsertionLoss(dB)HFHF??20040060080010001200140024681012kHzInsertionLoss(dB)33.84567.6135.240302010(H)(kHz)338kHz451kHz676kHz1.35MHzHF??HF(N1/N2)25050075010001250150024681046.767.6102.4151.20.250.50.751(kHz)(N1/N2)467kHz676kHz1024kHz1.5MHzkHzInsertionLoss(dB)(N2/N1)23%405%23.5%16InsertionLossAirGap“EffectivePermeability”e!!EPCOSp’’EPCOSMagneticDesignTool4.0AirGapInsertionLossInsertionLossEPCOST38100kHz()66446.1AirGapv.s.InsertionLossEP13withT38~6910fI~1.64kHzf=100kHz0.20.40.60.810.0010.0020.0030.004InsertionLoss(dB)AirGap(mm)AirGap()i(B~0.1mT)“”EPCOSDataBookEP13(T38)6910(AirGap)EffectivePermeabilitys()esAirGap0.20.40.60.811000200030004000s(mm)EP13T381060.24670.381700.152130.122660.093350.074260.0669100AirGap(mm)leSleAirGapAirGapAirGapiAirGapALAirGapAeleALALAirGapALs0.10.20.30.40.50.6123456AL(H)S(mm)AirGapALAirGapsEx:400HAirGap0.10.20.30.40.520406080NS(mm)0.1mmAirGap401T38130AirGapaEPCOSForT38a~-2.1E-3(1/K)T1=25T2=50EP13,T38,25(T1),60(%)ungapped30354045505560-7-6-5-4-3-2-1(ºC)(%)~7%AirGap=0.00.050.1(mm)25~60ºC30354045505560-7-6-5-4-3-2-1(%)(ºC)Ungapped0.05(mm)AirGap0.1(mm)AirGapAirGapQACffLCRZQQ20406080255075100125150Q090,-900,ACv.s.DCACDCLCRACQACDCQACDCQDC=17.2*10m-9DCRDC=17.2*10*l/A=2.19*10*l/Dm-9l-A-D--82DCRDC=2.19*10*lN*N/Dm-82lNBobbinNACRACRDCCopperKhe=hc+Kc*cmK1RAC/RDCACbhca1/22/220m=hc/bab=ahe=hc+2f0n=/2a=2ACACD…;D(cm)DCACDDACDCD1cmDAC0.20.40.60.810.10.20.30.4(cm)RRACDCMAGNETICS50%(mH)Aecmlecm2LAL0081-03800H5~6.5HN20CoreEP13le/Ae1.24mm-1U^2*C/2minimize“”CoreCore4hcN1N2SP120,K~1Umcm~0.7J/g*K~7…10E-61/K~4…7E-3J/mm*s*K~0.8…1.1MPamK1C~150000N/mm~600MPa/mmHV15~800MPa/mm~30MPa/mm22221/2“”PerformancePerformanceDevice2002EPCOSDataBookFerritesforBroadbandTransformer,Dr.H.Meuche,EPCOSFerriteCoresForxDSL:OptimumSelection,H.Meuche,M.Esguerra,EPCOS,IEEE1999TheuseofFerriteCoresinDSLwidebandTransformers,FERROCUBESoftFerritesandAccessories,Philips,2000FerritesandAccessoriesforxDSLApplications,EPCOS,2002FerriteMagneticDesignTool4.0,EPCOS