%% Parameters for Lithium-Ion Battery Pack cooling example % Battery cooling example setup and workspace variables % % Copyright 2020-2026 The MathWorks, Inc. % ambient=300; % Ambient temperature in K coolantTemp=300; % Coolant inlet temperature in K initialPackSOC=0.9; % Pack intial SOC (-) %% Module-to-Module Connections % Busbar resistances R12=2e-3; % Module1-to-module2 connection resistance R23=2e-3; % Module2-to-module3 connection resistance R34=2e-3; % Module3-to-module4 connection resistance R45=2e-3; % Module4-to-module5 connection resistance R56=2e-3; % Module5-to-module6 connection resistance R67=2e-3; % Module6-to-module7 connection resistance R78=2e-3; % Module7-to-module8 connection resistance % ------------------------------------------------------------------------- %% Lookup Table Points T_vec=[273.15, 298.15, 323.15]; % Temperature vector T [K] AH=20; % Cell capacity vector AH(T) [Ahr] SOC_vec=[0, .25, .75, 1]; % Cell state of charge vector SOC [-] Flowrate_vec=[0 0.01 0.02 0.03 0.04 0.05]; % Flowrate vector L [kg/s] lenF=size(Flowrate_vec,2);lenT=size(T_vec,2); % Temporary variables for size % ------------------------------------------------------------------------- %% Cell Electrical V0_mat=[3.2, 3.1, 3.14; 3.25, 3.27, 3.3; 3.28, 3.31, 3.34; 3.33, 3.5, 3.59]; % V0=f(SOC,T), cell OCV [V] R0_mat=3*[.03, .015, .002; .04, .017, .008; .039, .012, .006; .027, .013, .021]; % R0=f(SOC,T), cell Ohmic Resistance [Ohm] R1_mat=2*[.089, .076, .01; .042, .022, .099; .019, .007, .002; .051, .043, .029]; % R1=f(SOC,T), cell 1st RC pair Resistance [Ohm] Tau1_mat=[44, 148, 235; 93, 110, 1000; 19, 27, 133; .5, 22, 3]; % Tau1=f(SOC,T), cell 1st RC pair time constant [s] R2_mat=2*[.014, .382, .407; .028, .006, .007; .014, .007, .006; .333, .956, .912];% R2=f(SOC,T), cell 2nd RC pair Resistance [Ohm] Tau2_mat=[1, 44, 5644; 11, 24, 506; 2, 14, 330; 3310, 13419, 30216]; % Tau2=f(SOC,T), cell 2nd RC pair time constant [s] Ndisc=100;delV0=0;delR0=0;delR1=0;delR2=0;delAH0=0; % No change with cycling, not used in simulation % ------------------------------------------------------------------------- %% Cell Thermal MdotCp=500; % Cell thermal mass (mass times specific heat [J/K]) K_cell=0.8; % Cell thermal conductivity [W/(m*K)] h_cell=2; % Heat transfer coefficient to ambient [W/(m^2*K)] % ------------------------------------------------------------------------- %% Module Electrical cell_H=0.20; % Cell height [m] cell_W=0.12; % Cell width [m] cell_T=0.02; % Cell thickness [m] % ------------------------------------------------------------------------- %% Module 1-8 % Module 1 Ns1=12; % Module-1 Number of series connected strings Np1=3; % Module-1 Number of parallel cells per string Rext1=1e-3; % Module-1 Accessory total resistance Q1=5*ones(lenT,lenF,Ns1*Np1); % Module-1 Effective rate of coolant heat transfer from each cell extQ1=zeros(1,Ns1*Np1); % Module-1 Cell-to-Cell External Heat variation iniT1=ambient*ones(1,Ns1*Np1); % Module-1 Cell-to-Cell initial Temperature variation iniSOC1=initialPackSOC*ones(1,Ns1*Np1); % Module-1 Cell-to-Cell initial SOC variation iniR01=ones(1,Ns1*Np1); % Module-1 Cell-to-Cell Terminal Resistance variation iniAH1=ones(1,Ns1*Np1); % Module-1 Cell-to-Cell capacity variation vector % Module 2 - same as Module 1 Ns2=Ns1; % Module-2 Number of series connected strings Np2=Np1; % Module-2 Number of parallel cells per string Rext2=Rext1; % Module-2 Accessory total resistance Q2=Q1; % Module-2 Effective rate of coolant heat transfer from each cell extQ2=extQ1; % Module-2 Cell-to-Cell External Heat variation iniT2=iniT1; % Module-2 Cell-to-Cell initial Temperature variation iniSOC2=iniSOC1; % Module-2 Cell-to-Cell initial SOC variation iniR02=iniR01; % Module-2 Cell-to-Cell Terminal Resistance variation iniAH2=iniAH1; % Module-2 Cell-to-Cell capacity variation vector % Module 3 - same as Module 1 Ns3=Ns1; % Module-3 Number of series connected strings Np3=Np1; % Module-3 Number of parallel cells per string Rext3=Rext1; % Module-3 Accessory total resistance Q3=Q1; % Module-3 Effective rate of coolant heat transfer from each cell extQ3=extQ1; % Module-3 Cell-to-Cell External Heat variation iniT3=iniT1; % Module-3 Cell-to-Cell initial Temperature variation iniSOC3=iniSOC1; % Module-3 Cell-to-Cell initial SOC variation iniR03=iniR01; % Module-3 Cell-to-Cell Terminal Resistance variation iniAH3=iniAH1; % Module-3 Cell-to-Cell capacity variation vector % Module 4 Ns4=16; % Module-4 Number of series connected strings Np4=3; % Module-4 Number of parallel cells per string Rext4=1.3e-3; % Module-4 Accessory total resistance Q4=4.2*ones(lenT,lenF,Ns4*Np4); % Module-4 Effective rate of coolant heat transfer from each cell extQ4=zeros(1,Ns4*Np4); % Module-4 Cell-to-Cell External Heat variation iniT4=ambient*ones(1,Ns4*Np4); % Module-4 Cell-to-Cell initial Temperature variation iniSOC4=initialPackSOC*ones(1,Ns4*Np4); % Module-4 Cell-to-Cell initial SOC variation iniR04=ones(1,Ns4*Np4); % Module-4 Cell-to-Cell Terminal Resistance variation iniAH4=ones(1,Ns4*Np4); % Module-4 Cell-to-Cell capacity variation vector % Module 5 - same as Module 4 Ns5=Ns4; % Module-5 Number of series connected strings Np5=Np4; % Module-5 Number of parallel cells per string Rext5=Rext4; % Module-5 Accessory total resistance Q5=Q4; % Module-5 Effective rate of coolant heat transfer from each cell extQ5=extQ4; % Module-5 Cell-to-Cell External Heat variation iniT5=iniT4; % Module-5 Cell-to-Cell initial Temperature variation iniSOC5=iniSOC4; % Module-5 Cell-to-Cell initial SOC variation iniR05=iniR04; % Module-5 Cell-to-Cell Terminal Resistance variation iniAH5=iniAH4; % Module-5 Cell-to-Cell capacity variation vector % Module 6 - same as Module 1 Ns6=Ns1; % Module-6 Number of series connected strings Np6=Np1; % Module-6 Number of parallel cells per string Rext6=Rext1; % Module-6 Accessory total resistance Q6=Q1; % Module-6 Effective rate of coolant heat transfer from each cell extQ6=extQ1; % Module-6 Cell-to-Cell External Heat variation iniT6=iniT1; % Module-6 Cell-to-Cell initial Temperature variation iniSOC6=iniSOC1; % Module-6 Cell-to-Cell initial SOC variation iniR06=iniR01; % Module-6 Cell-to-Cell Terminal Resistance variation iniAH6=iniAH1; % Module-6 Cell-to-Cell capacity variation vector % Module 7 - same as Module 1 Ns7=Ns1; % Module-7 Number of series connected strings Np7=Np1; % Module-7 Number of parallel cells per string Rext7=Rext1; % Module-7 Accessory total resistance Q7=Q1; % Module-7 Effective rate of coolant heat transfer from each cell extQ7=extQ1; % Module-7 Cell-to-Cell External Heat variation iniT7=iniT1; % Module-7 Cell-to-Cell initial Temperature variation iniSOC7=iniSOC1; % Module-7 Cell-to-Cell initial SOC variation iniR07=iniR01; % Module-7 Cell-to-Cell Terminal Resistance variation iniAH7=iniAH1; % Module-7 Cell-to-Cell capacity variation vector % Module 8 - same as Module 1 Ns8=Ns1; % Module-8 Number of series connected strings Np8=Np1; % Module-8 Number of parallel cells per string Rext8=Rext1; % Module-8 Accessory total resistance Q8=Q1; % Module-8 Effective rate of coolant heat transfer from each cell extQ8=extQ1; % Module-8 Cell-to-Cell External Heat variation iniT8=iniT1; % Module-8 Cell-to-Cell initial Temperature variation iniSOC8=iniSOC1; % Module-8 Cell-to-Cell initial SOC variation iniR08=iniR01; % Module-8 Cell-to-Cell Terminal Resistance variation iniAH8=iniAH1; % Module-8 Cell-to-Cell capacity variation vector % ------------------------------------------------------------------------- % Cell-to-Cell variation in Cell-Terminal-Resistance R0, modeled assuming a % normal distribution (below) % % Data already stored in file (*.mat) % % num312Data = NORMINV(RAND(),1,0.09) - in MS-Excel % % Data generated saved in file 'num312Data.txt' % % sampleDistribution312=load('num312Data.txt'); totalCellsInFile=max(size(sampleDistribution312)); totalCells=Ns1*Np1+Ns2*Np2+Ns3*Np3+Ns4*Np4+Ns5*Np5+Ns6*Np6+Ns7*Np7+Ns8*Np8; cellCount=[Ns1*Np1, Ns2*Np2, Ns3*Np3, Ns4*Np4, Ns5*Np5, Ns6*Np6, Ns7*Np7, Ns8*Np8]; if totalCells == totalCellsInFile iniR01=sort(sampleDistribution312(1:Ns1*Np1)'); iniR02=sort(sampleDistribution312(Ns1*Np1+1:sum(cellCount(1:2)))'); iniR03=sort(sampleDistribution312(sum(cellCount(1:2))+1:sum(cellCount(1:3)))'); iniR04=sort(sampleDistribution312(sum(cellCount(1:3))+1:sum(cellCount(1:4)))'); iniR05=sort(sampleDistribution312(sum(cellCount(1:4))+1:sum(cellCount(1:5)))'); iniR06=sort(sampleDistribution312(sum(cellCount(1:5))+1:sum(cellCount(1:6)))'); iniR07=sort(sampleDistribution312(sum(cellCount(1:6))+1:sum(cellCount(1:7)))'); iniR08=sort(sampleDistribution312(sum(cellCount(1:7))+1:sum(cellCount(1:8)))'); end