电池参数设置Word格式文档下载.docx

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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 

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

2mΩ

（a）

V

RatedCapacity

MaximumCapacity 

（b）

7Ah*

FullyChargedvoltage 

（c）

NominalDischargeCurrent 

（d）

A

Capacity@NominalVoltage 

ExponentialVoltage 

（e）

ExponentialCapacity 

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

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