电池参数设置.docx
《电池参数设置.docx》由会员分享，可在线阅读，更多相关《电池参数设置.docx（14页珍藏版）》请在冰豆网上搜索。
电池参数设置
Description
TheBatteryblockimplementsagenericdynamicmodelparameterizedtorepresentmostpopulartypesofrechargeablebatteries.
Theequivalentcircuitofthebatteryisshownbelow:
Lead-AcidModel
Dischargemodel（i*>0）
f1（it,i∗,i,Exp）=E0−K⋅QQ−it⋅i∗−K⋅QQ−it⋅it+Laplace−1（Exp（s）Sel（s）⋅0）.
ChargeModel（i*<0）
f2（it,i∗,i,Exp）=E0−K⋅Qit+⋅Q⋅i∗−K⋅QQ−it⋅it+Laplace−1（Exp（s）Sel（s）⋅1s）.
Lithium-IonModel
DischargeModel（i*>0）
f1（it,i∗,i）=E0−K⋅QQ−it⋅i∗−K⋅QQ−it⋅it+A⋅exp（−B⋅it）.
ChargeModel（i*<0）
f2（it,i∗,i）=E0−K⋅Qit+⋅Q⋅i∗−K⋅QQ−it⋅it+A⋅exp（−B⋅it）.
Nickel-CadmiumandNickel-Metal-HydrideModel
DischargeModel（i*>0）
f1（it,i∗,i,Exp）=E0−K⋅QQ−it⋅i∗−K⋅QQ−it⋅it+Laplace−1（Exp（s）Sel（s）⋅0）.
ChargeModel（i*<0）
f2（it,i∗,i,Exp）=E0−K⋅Qit+⋅Q⋅i∗−K⋅QQ−it⋅it+Laplace−1（Exp（s）Sel（s）⋅1s）,
where,
EBatt =Nonlinearvoltage（V）
E0 =Constantvoltage（V）
Exp（s） =Exponentialzonedynamics（V）
Sel（s） =Representsthebatterymode.Sel（s）=0duringbatterydischarge,Sel（s）=1duringbatterycharging.
K=Polarizationconstant（Ah−1）orPolarizationresistance（Ohms）
i*=Lowfrequencycurrentdynamics（A）
i=Batterycurrent（A）
it=Extractedcapacity（Ah）
Q=Maximumbatterycapacity（Ah）
A=Exponentialvoltage（V）
B=Exponentialcapacity（Ah）−1
Theparametersoftheequivalentcircuitcanbemodifiedtorepresentaparticularbatterytype,basedonitsdischargecharacteristics.Atypicaldischargecurveiscomposedofthreesections,asshowninthenextfigure:
Thefirstsectionrepresentstheexponentialvoltagedropwhenthebatteryischarged.Dependingonthebatterytype,thisareaismoreorlesswide.Thesecondsectionrepresentsthechargethatcanbeextractedfromthebatteryuntilthevoltagedropsbelowthebatterynominalvoltage.Finally,thethirdsectionrepresentsthetotaldischargeofthebattery,whenthevoltagedropsrapidly.
Whenthebatterycurrentisnegative,thebatterywillrechargefollowingachargecharacteristicasshownbelow:
Notethattheparametersofthemodelarededucedfromdischargecharacteristicsandassumedtobethesameforcharging.
TheExp（s）transferfunctionrepresentsthehysteresisphenomenonfortheLead-Acid,NiCDandNiMHbatteriesduringchargeanddischargecycles.Theexponentialvoltageincreaseswhenbatteryischarging,nomattertheSOCofthebattery.Whenthebatteryisdischarging,theexponentialvoltagedecreasesimmediately:
DialogBoxandParameters
ParametersTab
Batterytype
Providesasetofpredeterminedchargebehaviorforfourtypesofbattery:
Lead-Acid
Lithium-Ion
Nickel-Cadmium
Nickel-Metal-Hydride
NominalVoltage（V）
Thenominalvoltage（Vnom）ofthebattery（volts）.Thenominalvoltagerepresentstheendofthelinearzoneofthedischargecharacteristics.
RatedCapacity（Ah）
Theratedcapacity（Qrated）ofthebatteryinampere-hour.Theratedcapacityistheminimumeffectivecapacityofthebattery.
InitialState-Of-Charge（%）
TheinitialState-Of-Charge（SOC）ofthebattery.100%indicatesafullychargedbatteryand0%indicatesanemptybattery.Thisparameterisusedasaninitialconditionforthesimulationanddoesnotaffectthedischargecurve（whentheoption PlotDischargeCharacteristics isused）.
UseparametersbasedonBatterytypeandnominalvalues
Loadthecorrespondingparametersintheentriesofthedialogbox,dependingontheselected Batterytype,the NominalVoltage andthe RatedCapacity.
Whenapresetmodelisused,thedetailedparameterscannotbemodified.Ifyouwanttomodifythedischargecurve,selectthedesiredbatterytypetoloadthedefaultparameters,andthenuncheckthe UseparametersbasedonBatterytypeandnominalvalues checkboxtoaccessthedetailedparameters.
MaximumCapacity（Ah）
Themaximumtheoreticalcapacity（Q）,whenadiscontinuityoccursinthebatteryvoltage.Thisvalueisgenerallyequalto105%oftheratedcapacity.
FullychargedVoltage（V）
Thefullychargedvoltage（Vfull）,foragivendischargecurrent.Notethatthefullychargedvoltageisnottheno-loadvoltage.
NominalDischargeCurrent（A）
Thenominaldischargecurrent,forwhichthedischargecurvehasbeenmeasured.Forexample,atypicaldischargecurrentforaAhNiMHbatteryis20%oftheratedcapacity:
*Ah/1h=.
InternalResistance
Theinternalresistanceofthebattery（ohms）.Whenapresetmodelisused,agenericvalueisloaded,correspondingto1%ofthenominalpower（nominalvoltage*ratedcapacityofthebattery）.Theresistanceissupposedtobeconstantduringthechargeandthedischargecyclesanddoesnotvarywiththeamplitudeofthecurrent.
Capacity（Ah）@NominalVoltage
Thecapacity（Qnom）extractedfromthebatteryuntilthevoltagedropsunderthenominalvoltage.Thisvalueshouldbebetween Qexp and Qmax.
Exponentialzone[Voltage（V）,Capacity（Ah）]
Thevoltage（Vexp）andthecapacity（Qexp）correspondingtotheendoftheexponentialzone.Thevoltageshouldbebetween Vnom and Vfull.Thecapacityshouldbebetween0andQnom.
ViewDischargeCharacteristicsTab
PlotDischargeCharacteristics
Clicktoplotafigurecontainingtwographs.Thefirstgraphrepresentsthenominaldischargecurve（atthe NominalDischargeCurrent）andthesecondgraphrepresentsthedischargecurvesatthespecifieddischargecurrents.
Dischargecurrent
Allowstospecifydifferentvaluesofdischargecurrent.Thedischargecharacteristicsforthesecurrentsarepresentedinthesecondpartofthegraph.
Units
Chooseeither Time or Ampere-hour asthe x-axisfortheplot.
BatteryDynamicsTab
Batteryresponsetime（s）
Theresponsetimeofthebattery（at95%ofthefinalvalue）.
Thisvaluerepresentsthevoltagedynamicsandcanbeobservedwhenacurrentstepisapplied:
Inthisexample,abatteryresponsetimeof30secsisused.
ExtractBatteryParametersFromDataSheets
ThissectiongivesanexampleofdetailedparametersextractedfromthePanasonicNiMH-HHR650Dbatterydatasheet:
Fromthespecificationtables,weobtaintheratedcapacityandtheinternalresistance.TheotherdetailedparametersarededucedfromtheTypicalDischargeCharacteristicsplot:
Parameter
Value
Ratedcapacity
Ah
InternalResistance
2mΩ
NominalVoltage （a）
V
RatedCapacity
Ah
MaximumCapacity （b）
7Ah*
FullyChargedvoltage （c）
V
NominalDischargeCurrent （d）
A
Capacity@NominalVoltage （a）
Ah
ExponentialVoltage （e）
V
ExponentialCapacity （e）
Ah
Theseparametersareapproximateanddependontheprecisionofthepointsobtainedfromthedischargecurve.Atool,calledScanIt（providedbyamsterCHEM,canbeusedtoextractvaluesfromdatasheetcurves.
TheparametersobtainedfromthedatasheetareenteredinthemaskoftheBatteryblockasinthefollowingpicture:
Thedischargecurves（thedottedlinecurvesinthefollowingplots）obtainedwiththeseparametersaresimilartothedatasheetcurves.
CellsinSeriesand/orinParallel
Tomodelaseriesand/orparallelcombinationofcellsbasedontheparametersofasinglecell,theparametertransformationshowninthenextfigurecanbeused.The Nb_ser variableinmaskbelowcorrespondstothenumberofcellsinseries,and Nb_par correspondstothenumberofcellinparallel:
BlockInputsandOutputs
m
TheSimulinkoutputoftheblockisavectorcontainingthreesignals.YoucandemultiplexthesesignalsbyusingtheBusSelectorblockprovidedintheSimulinklibrary.
Signal
Definition
Units
SOC
TheState-Of-Chargeofthebattery（between0and100%）.TheSOCforafullychargedbatteryis100%andforanemptybatteryis0%.TheSOCiscalculatedas:
SOC=100（1−1Qt0i（t） dt）.
%
Current
TheBatterycurrent
A
Voltage
TheBatteryvoltage
V
ModelValidation
Experimentalvalidationofthemodelshownamaximumerrorof5%（whenSOCisbetween10%and100%）forcharge（currentbetween0and2C）anddischarge（currentbetween0and5C）dynamics.
ModelAssumptions
Theinternalresistanceissupposedconstantduringthechargeandthedischargecyclesanddoesn'tvarywiththeamplitudeofthecurrent.
Theparametersofthemodelarededucedfromdischargecharacteristicsandassumedtobethesameforcharging.
Thecapacityofthebatterydoesn'tchangewiththeamplitudeofcurrent（NoPeukerteffect）.
Themodeldoesn'ttakethetemperatureintoaccount.
TheSelf-Dischargeofthebatteryisnotrepresented.Itcanberepresentedbyaddingalargeresistanceinparallelwiththebatteryterminals.
Thebatteryhasnomemoryeffect.
Limitations
Theminimumno-loadbatteryvoltageis0voltandthemaximumbatteryvoltageisequalto2*E0.
Theminimumcapacityofthebatteryis0AhandthemaximumcapacityisQmax.
Example
The power_battery exampleillustratesa200volts,AhNiMHbatteryconnectedtoaconstantloadof50A.TheDCmachineisconnectedinparallelwiththeloadandoperatesatnoloadtorque.WhentheState-Of-Charge（SOC）ofthebatterygoesunder（40%）,anegativeloadtorqueof200Nmisappliedtothemachinesoitactsasageneratortorechargethebattery.WhentheSOCgoesover80%,theloadtorqueisremovedsoonlythebatterysuppliesthe50ampsload.
Thesimulationproducesthefollowingsresults:
ThebatteryisdischargedbytheconstantDCloadof50A.WhentheSOCdropsunder,amechanicaltorqueof−200Nmisappliedsothemachineactsasageneratorandprovidesacurrentof100amps.Hence,50ampsgoestotheloadand50ampsgoestorechargethebattery.WhentheSOCgoesover,themechanicaltorqueisremovedandthemachineoperatesfreely.Andthenthecyclerestarts.
References
[1]Tremblay,O.,Dessaint,."ExperimentalValidationofaBatteryDynamicModelforEVApplications."WorldElectricVehi
升级会员 