how to build a model in simulink

I am trying to implement an ageing model equation of a battery in Simulink to see the capacity loss(Q_loss).

my equation is Q_loss=B*exp⁡(-E_a/RT)*(A_h )^Z. Qloss is the percentage of capacity loss.

B,E_a and Z are the parameter coefficients. R is the gas constant and T is the temperature.

I have the values of Q_loss and A_h,now my question is should i extract the parameters using these values and put them in my Simulink model? if I do like that I will get Q_loss as a single value.

but I want to see how capacity loss is varying, in that case, how can I do that?

find the attached files for better understanding.

any thoughts and help are much appreciated.

[Sam Chak]

The temperature T (after division by R and then multiplied by T) is not provided.

Data = readtable('https://www.mathworks.com/matlabcentral/answers/uploaded_files/1138180/cycling_dataset.question.xlsx')

Warning: Column headers from the file were modified to make them valid MATLAB identifiers before creating variable names for the table. The original column headers are saved in the VariableDescriptions property.
Set 'VariableNamingRule' to 'preserve' to use the original column headers as table variable names.

Data = 454×5 table
    Cyclenumber    QDischargePerCycle_mah    AccumulatedAh_throughput_ma_h    Qloss     QlossInPercentage
    ___________    ______________________    _____________________________    ______    _________________

         1                 3315.6                       3315.6                184.36         5.2674      
         2                 3310.6                       6626.2                189.44         5.4127      
         3                 3305.8                         9932                194.22         5.5493      
         4                 3301.1                        13233                198.86         5.6817      
         5                 3295.9                        16529                204.06         5.8302      
         6                   3291                        19820                209.01         5.9716      
         7                 3285.9                        23106                 214.1         6.1171      
         8                 3281.5                        26387                218.54          6.244      
         9                   3277                        29664                   223         6.3714      
        10                 3272.8                        32937                227.18         6.4908      
        11                 3268.4                        36206                231.62         6.6176      
        12                 3264.6                        39470                235.39         6.7253      
        13                 3260.6                        42731                239.35         6.8386      
        14                 3256.8                        45988                243.23         6.9495      
        15                 3253.2                        49241                246.78         7.0509      
        16                 3249.4                        52490                250.57         7.1591      

in   = Data.QDischargePerCycle_mah;
out  = Data.QlossInPercentage;
plot(in, out, '.'), grid on

Answer 1

[Ananda Sankar Chakraborty]

Hi Sandeep,

At a high-level there are two approaches:

1. The first one involves doing everything within Simulink. The Parameter Estimator tool should help with this. Here are shipped examples on Importing and Preprocessing Experiment Data (using GUI) and Estimating Model Parameter Values (using GUI) that should help you understand how to use this tool. For this you will need a Simulink Design Optimization license.
2. The second involves leveraging MATLAB Math toolboxes. There are few functionalities here including using fit (Curve Fitting Toolbox) and/or fsolve (Optimization Toolbox). This MATLAB Answer lists a few available options along with custom code provided by the community for the estimation problem.

Do feel free to choose the option that best fits your needs from these! Hope this helps.