Lithium-lon ModelDischargeModel (i*>0)QQ-Kit+A·exp(-Bit)fi(t,迷,)=E-KQ-itQ-itCharge Model (i*< 0)QQf2(it,,)=Eo-K4it+A-exp(-B.it).it+0.1.QQ-itEBatt=Nonlinear voltage (V)Eo=Constant voltage (V)Exp(s)=Exponentialzonedynamics(V)Sel(s)=RepresentsthebatterymodeSel(s)=0duringbattery discharge,Sel(s) = 1 during battery charging.K=Polarizationconstant(Ah-1)orPolarizationresistance(Ohms)i*=Lowfrequency currentdynamics (A)i=Battery current (A)it=Extracted capacity(Ah)Q=Maximumbatterycapacity(Ah)A=Exponential voltage (V)B = Exponential capacity (Ah)-1
EBatt = Nonlinear voltage (V) E0 = Constant voltage (V) Exp(s) = Exponential zone dynamics(V) Sel(s) = Represents the battery mode. Sel(s) = 0 during battery discharge, Sel(s) = 1 during battery charging. K = Polarization constant (Ah−1) or Polarization resistance (Ohms) i* = Low frequency current dynamics (A) i = Battery current (A) it = Extracted capacity (Ah) Q = Maximum battery capacity (Ah) A = Exponential voltage (V) B = Exponential capacity (Ah)−1 Charge Model (i* < 0) Lithium-Ion Model Discharge Model (i* > 0)
ExtractBatteryParametersFromDataSheetsThissectiongivesanexampleofdetailedparametersextractedfromthePanasonicNiMH-HHR65ODbatterydatasheet:TypicalDischargeCharacteristicsSpecificationsinch1.8mmCharge: 6500mA(1 It)x1.2hrs.20'C1.733.0+0/-0.11.3+0/-0.04DiameterDishargeTemperature:20*Cc1.6Height61+0/-152.40+0/-0.08e1.6eoaGramsOuncesApproximate14Weight1706.01.31.21.2VNominal Voltage1.1-Average**6800.mAh1.0dDischarge0.9Capacity"6500mAh1300mA(0.2t)Rated (Min.)0.885023Approx.Internalimpedance2m2Discharge Time (hours)at1000Hzatchargedstate650mA(0.1lt)x16hrsStandardChargeRapid6500mA(1lt)x12hrsF'C1.8StandardChargeCharge;6500mA(1it)x1.2hrs.20*c32Fto113°F0Cto45'C1.7Disharge Temperature: 20'CRapid0'Cto40'C32Fto104F1.6Discharge-10℃to65'C14Fto149°F1.5M-4'Fto113'F<2years-20Cto45℃1.4Storagetnn1.3<6months-20°℃to55℃-4*Fto131'F1.21.11.06500mA(1 t)13000mA(2lt)0.932500mA(5 It)0.8.102030405060700Discharge Time (minutes)
Extract Battery Parameters From Data Sheets This section gives an example of detailed parameters extracted from the Panasonic NiMH-HHR650D battery data sheet: