Theory and implementation of Impedance Track …

1 1 SummaryoftheAlgorithmOperationApplicatio nReportSLUA450 January2008 TheoryandImplementationofImpedanceTrack BatteryFuel-GaugingAlgorithminbq2750xFam ilyMingYu,YevgenBarsukov, (1)(IT)technologyusedinthebq2750xserieso ffuelgaugeICsforsingle-cellLi-ionapplica tion( ,smartphones,mediaplayers,andPDAs).Theim plementationoftheITalgorithminthebq2750x familyisreviewed,andthesettingofdataflas hconstantsassociatedwiththefuel-gauginga lgorithmisdescribedindetail.(1) Impedance TrackalgorithmisprotectedbyUSPatentsUS68 32171,US6789026, ().. () :RelativeStateofCharge(RSOC) :RelativeStateofCharge(RSOC) ( ())andfull-chargecapacity( ()). :depthofdischarge(DOD) () ,aftersubtractingthereservecapacity( ). ()dependsontherateofdischargeandislowera thigherratesandlowtemperaturesbecausethe cellI* January2008 TheoryandImplementationofImpedanceTrack (DOD)ParametersUpdatedbytheGasGaugeinMor eDetailThealgorithmdifferentiatesbetween charge,discharge, , ()[DSG]bitiscleared,andduringdischargean drelaxationmode, (DF) , () () , () () (DOD0)basedonopen-circuitvoltage(OCV) (OCV,T) ,LiMn2O4/carbonetc.

2 ,andcanbeidentifiedbyreadingthechemistry IDthroughsendingChemID()command0x0008,th enreadingChemID().Thegasgaugecanbesetupf oraparticularchemistrybyusingaspecificfi rmwarefile(*.senc) () ,thedV/dt<4 , , (OCV,T). BatteryFuel-GaugingAlgorithminbq2750xFam ilySLUA450 , ;thentheresistancevalueisfoundfromtheR(D OD)tableandusedtocorrecttheOCVvalueasOCV `=OCV-I* ,thecorrectedDODisfoundfromOCV`. , ,thepresentDODisrecalculatedeveryseconda sDOD=DOD0+ ,aswellasthestartingpointforaRemainingCa pacity(andFCC) ,ateveryresistanceupdate, ,wherex=0,1, , ,DOD1istakenduringrelaxation,thenadischa rgemodestarts, ,anotherrelaxationmodeisentered,andDOD2i staken;DOD1andDOD2arecalculatedfromOCVre adingsinawell-relaxedstate, <4 ,and3 4hoursifDODisabove80%. ,theQmaxcalculationdoesnotoccurifthetemp eratureisabove40 C,orbelow10 (DOD) (DOD2 DOD1) ( ,from0to1ifnoresistanceupdateweremadeorf rom1to2ifaresistanceupdatewasmade).

3 SLUA450 January2008 TheoryandImplementationofImpedanceTrack ( ),90% , , ,butlatertheupdatewaitingtimedecreasesif themaximaldischargeduration( ) ,thatistakenfromtheOCV(DOD,T)table:dV=V OCV(DOD,T)R(DOD)= ( ) (DODchargeisPassedCharge/Qmax). , ( ,from0to1ifnoQmaxupdateweremadebefore,or from1to2ifaQmaxupdatewasmadebefore).Befo restoragetoDataFlash,theresistancevalues arenormalizedto0 CasRa[dod]=R[dod]/exp(Rb[dod]*T) [DOD]isthevalueoftemperaturecoefficiento fimpedancechangeatagivenDODstoredasarese rveddata-flashtable,andTistemperaturein Caresomewhatlargerthanvaluesatroomtemper atureandsocannotbedirectlycomparedwithR= BatteryFuel-GaugingAlgorithminbq2750xFam ilySLUA450 (RM) , ,byfactorRa_ , , , , ,therearetwoRatables(RaandRax) , (BaseRandGain) [i]=BaseR+sum(R_compressed[k],k= ) 2 Gain,andR[0]= , ,ifduringresistanceupdateDODexceeds100%, orresistanceappearsnegative, , , , , , , , , , (R=Raxexp(RbxT)) ,thealgorithmcollectsT(t) (T_out) (t,T_start)thatcalculatesatemperaturepro filestartingfrompresenttemperature,T_sta rt,andcontinuinguntiltheendofdischarge.

4 (FCC)UpdateofRMandFCCtakesplaceaftereach resistancegrid-pointupdate,attheendofdis charge, ()=Qstart+PassedCharge+ January2008 TheoryandImplementationofImpedanceTrack () () () (DODcharge).ForafullychargedbatteryQstar t= ,itissimplyQstart=Qmax (DOD0 DODcharge), ()(RM) +PassedCharge/Qmaxandcontinuescalculatin gvoltageV(DODx,T)=OCV(DODx,T)+I R(DODx,T)byincrementingDODwithdDODincrem entof4%.DOD[i]=DODstart+dDOD (DOD[i]) , ()=(DODfin-DODstart) ( ).Asimulationcanruninconstantcurrentmode ( )orconstantpowermode( ). ()isonlyupdatedatafewpointsduringadischa rgeaspreviouslydescribed, ()isupdatedcontinuously(every1second) ()=RM () () ()= () 100 (). ()= () ().NotethatevenifasimulationofRMisruninc onstantpowermode( ), () () :6 TheoryandImplementationofImpedanceTrack BatteryFuel-GaugingAlgorithminbq2750xFam ilySLUA450 () () () () () ()ThesevaluesarealwaysreportedinmWhorder ivedfrommWhvalues.

5 () () ()Incaseofconstantpowermode( ), ()= () () ,cellphone/smartphoneorPDA,dependingonth eactualcommunicationprotocol(GSM,CDMA,3 GGSMor3 GCDMA), ,aGSMsmartphoneisusedtocheckouttheImpeda nceTrack , , , ( ,lessthanC/20rate) , ,ifasinglevoltagereadpointwastakenexactl yatthemomentofthespike, , , ,actualphonecallsalongwithapplicationssu chasplayinggames,checkingemails,aswellas standbymode, ,thecurrentreportedbyITisbeingaveragedby bothaanalog-to-digitalconverter(ADC) *butthereportedpeakcurrentisaround200mAt o300mAwhenthephone sLCDscreenisonandonlyaround80mAwhenthesc reenisoff.* January2008 TheoryandImplementationofImpedanceTrack vs Voltage010203040506070809010050011000115 001 Time (count)RSOC2900310033003500370039004100 Voltage - mVRSOCV oltage1 RSOC vs Current010203040506070809010015001100011 5001 Time (count)RSOC350300250200150100500 Current - :RelativeStateofCharge(RSOC) :RelativeStateofCharge(RSOC) ,theerrorisaround4%butasthephonegoesinto standbymode,whichisaroundRSOC=85%,theacc urateOCVreadingistakenbyITregardlessofth ehigh-currentspikes(withdelay).

6 FromRSOC=80%downtoRSOC=0%,theaccuracyisw ithin2%.8 TheoryandImplementationofImpedanceTrack BatteryFuel-GaugingAlgorithminbq2750xFam ilySLUA450 (seeFigure8), January2008 TheoryandImplementationofImpedanceTrack BatteryFuel-GaugingAlgorithminbq2750xFam ilySLUA450 January2008 SubmitDocumentationFeedbackIMPORTANT NOTICET exas Instruments Incorporated and its subsidiaries (TI) reserve the right to make corrections, modifications, enhancements, improvements,and other changes to its products and services at any time and to discontinue any product or service without notice. Customers shouldobtain the latest relevant information before placing orders and should verify that such information is current and complete. All products aresold subject to TI s terms and conditions of sale supplied at the time of order warrants performance of its hardware products to the specifications applicable at the time of sale in accordance with TI s standardwarranty.

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