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LT3757 Datasheet(PDF) 23 Page - Linear Technology |
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LT3757 Datasheet(HTML) 23 Page - Linear Technology |
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23 / 36 page ![]() LT3757 3757fb Givenanoperatinginputvoltagerange,andhavingchosen theoperatingfrequencyandripplecurrentintheinduc- tor,theinductorvalue(L1andL2areindependent)ofthe SEPICconvertercanbedeterminedusingthefollowing equation: L L V I f D IN MIN SW MAX 1 2 0 5 = = ( ) . • • • ∆ FormostSEPICapplications,theequalinductorvalues willfallintherangeof1µHto100µH. BymakingL1=L2,andwindingthemonthesamecore,the valueofinductanceintheprecedingequationisreplaced by2L,duetomutualinductance: L V I f D IN MIN SW MAX = ( ) • • ∆ Thismaintainsthesameripplecurrentandenergystorage intheinductors.Thepeakinductorcurrentsare: IL1(PEAK)=IL1(MAX)+0.5•∆IL1 IL2(PEAK)=IL2(MAX)+0.5•∆IL2 TheRMSinductorcurrentsare: I I L RMS L MAX L 1 1 2 1 1 12 ( ) ( ) • = + c where: cL L L MAX I I 1 1 1 = ∆ ( ) I I L RMS L MAX L 2 2 2 2 1 12 ( ) ( ) • = + c where: cL L L MAX I I 2 2 2 = ∆ ( ) Basedontheprecedingequations,theusershouldchoose theinductorshavingsufficientsaturationandRMScur- rentratings. InaSEPICconverter,whenthepowerswitchisturnedon, thecurrentflowingthroughthesenseresistor(ISENSE)is theswitchcurrent. SetthesensevoltageatISENSE(PEAK)tobetheminimum oftheSENSEcurrentlimitthresholdwitha20%margin. Thesenseresistorvaluecanthenbecalculatedtobe: R mV I SENSE SW PEAK = 80 ( ) SEPIC Converter: Power MOSFET Selection FortheSEPICconfiguration,chooseaMOSFETwitha VDCratinghigherthanthesumoftheoutputvoltageand inputvoltagebyasafetymargin(a10Vsafetymarginis usuallysufficient). ThepowerdissipatedbytheMOSFETinaSEPICcon- verteris: PFET=I2SW(MAX)•RDS(ON)•DMAX +2•(VIN(MIN)+VOUT)2•IL(MAX)•CRSS•f/1A Thefirstterminthisequationrepresentstheconduction lossesinthedevice,andthesecondterm,theswitching loss.CRSSisthereversetransfercapacitance,whichis usuallyspecifiedintheMOSFETcharacteristics. For maximum efficiency, RDS(ON) and CRSS should be minimized.Fromaknownpowerdissipatedinthepower MOSFET,itsjunctiontemperaturecanbeobtainedusing thefollowingequation: TJ=TA+PFET•θJA=TA+PFET•(θJC+θCA) TJ must not exceed the MOSFET maximum junction temperaturerating.Itisrecommendedtomeasurethe MOSFETtemperatureinsteadystatetoensurethatabsolute maximumratingsarenotexceeded. applicaTions inForMaTion |
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