function [SocTotal,CorrenteVar,PowerDC,TensaoTot,CapacidadeTotalAh,CapacidadeTWh] = LiElectricalModel(step,soc,IcommB,PCommB,Qah,Qwh) %Where, for each of the value time step Inputs: %step - is the timing step of the data, in seconds %soc - is the current state of charge of the battery, in % %IcommB - is the current current, in A %PcommB - is the current power, in W %Qah - is the calculated energy capacity of the battery, in Ah %Qwh - is the calculated energy capacity of the battery, in Wh Ecapacity=135; %Useful Energy capacity Ah X=41.2; %Adjustment Voltage for x=1 if (ICommB>0) %For the discharge state description Vf=60.9; %Model point voltage (extracted from curve), in V Ve=57.35; %Model point voltage (extracted from curve), in V Vn=52.6; %Model point voltage (extracted from curve), in V Y=7.55e-14*(PCommB^4)-6.58e-10*(PCommB^3)+1.94e-6*(PCommB^2)-0.0026*PCommB+2.284; %Calculated fitting for adjusment curve to other power levels Z=2652*(PCommB^-0.771)-5.282; %Calculated fitting for adjusment curve to other power levels nexp=0.77; %Ratio multiplied by Qexp for adjusment curve nnom=0.98; %Ratio multiplied by Qexp for adjusment curve Vfull=Vf+Y; %Value of Vfull for each of the power curve, V Vexp=Ve+Y; %Value of Vexp for each of the power curve, V Vnom=Vn+Y; %Value of Vnom for each of the power curve, V Qfull=(169-Z); %Value of Qfull for each of the power curve, Ah Qexp=(Qfull-Z)*nexp; %Value of Qexp for each of the power curve, Ah Qnom=(Qfull-Z)*nnom; %Value of Qnom for each of the power curve, Ah A=Vfull-Vexp; %Exponential Voltage Amplitude Constant in V B=2.3/Qexp; %Exponential Voltage Amplitude Constant in V K=7.3*(Vfull-Vnom+A*(exp(-B*Qnom)-1))*((Qfull-Qnom)/Qnom); %Polarization Constant, V/Ah R=Vnom*(1-0.8)/(1*Qnom); %Internal Resistance, in Ω corrente=IcommB; %Input current, in A Ezero=Vfull+K+R*corrente-A+X; %Battery Constant Voltage, in V it=abs(corrente)*step*0.87; %Discharged energy, Ah TensaoTotal=Ezero-K*(Qah/(Qah-it))*(corrente+it)+A*(exp(-B*it))-R*corrente; %Voltage, V Captot=Qah-corrente*step; %Energy Capacity, Ah Energy=((PCommB*step))/Ecapacity; %Auxiliar calculus, W SocIc=soc-Energy; %State of charge of the battery, % Potencia=(corrente)*TensaoTotal; %Power Discharged, W Int=Qwh-PCommB*(step)/Ecapacity; %Energy Capacity, Wh elseif (PCommB==0) %Seen as a discharge = standby of inverter and auxiliaries Energy=((5*step))/Ecapacity; %Auxiliar calculus, W SocIc=soc-Energy; %State of charge of the battery, % corrente=IcommB; %Input current, in A TensaoTotal=TensaoTotal; %~Same as in previous iteration, in V Potencia=(corrente)*TensaoTotal; %Power discharged, W Int=Qwh-PCommB*(step)/Ecapacity; %Energy Capacity, Wh Captot=Qah-corrente*step; %Energy Capacity, Ah else %For the discharge state description Vf=60.9; %Model point voltage (extracted from curve), V Ve=58.5; %Model point voltage (extracted from curve), V Vn=54.6; %Model point voltage (extracted from curve), V Y=0.;%Calculated fitting for adjusment curve Z=abs(7760*(-PCommB^(-0.9554))-3.493); %Calculated fitting for adjusment curve nexp=0.6; %Ratio multiplied by Qexp for adjusment curve nnom=0.98; %Ratio multiplied by Qexp for adjusment curve Vfull=Vf+Y; %Value of Vfull for each of the power curve, V Vexp=Ve+Y; %Value of Vexp for each of the power curve, V Vnom=Vn+Y; %Value of Vnom for each of the power curve, V Qfull=(169-Z); %Value of Qfull for each of the power curve, Ah Qexp=(Qfull-Z)*nexp; %Value of Qexp for each of the power curve, Ah Qnom=(Qfull-Z)*nnom; %Value of Qnom for each of the power curve, Ah A=Vfull-Vexp; %Exponential Voltage Amplitude Constant in V B=2.3/Qexp; %Exponential Voltage Amplitude Constant in V K=7.3*(Vfull-Vnom+A*(exp(-B*Qnom)-1))*((Qfull-Qnom)/Qnom); R=Vnom*(1-0.8)/(1*Qnom); %Polarization Constant, V/Ah corrente=IcommB; %Input current, A Ezero=Vfull+K+R*corrente-A+X; %Battery Constant Voltage, in V it=abs(corrente)*step*0.5; %Charged energy, Ah TensaoTotal=Ezero+K*(Qah/(it-0.65*Qah))*(abs(corrente)+it)+A*(exp(-B*it))-R*corrente; %Voltage, V Captot=Qah-corrente*step; %Energy Capacity, Ah Int=Qwh-PCommB*(step)/Ecapacity; %Energy Capacity, Wh Energy=((PCommB*step))/Ecapacity; %Auxiliar calculus, W SocIc=soc-Energy; %State of charge of the battery, % Potencia=corrente*TensaoTotal; %Power charged, W end %Variables atribution Qah=Captot; CapA=Qah; Qwh=Int; CapW=Qwh; soc=SocIc; S=soc; %Outputs: TensaoTot=TensaoTotal; %Output CapacidadeTotalAh=CapA; %Output CapacidadeTWh=CapW; %Output CorrenteVar=corrente; %Output PowerDC=Potencia; %Output SocTotal=S; %Output end end