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Hallo MathWorks community,

I am trying to model the RC equivalent Circuit of fuse from thermal Cauer-Model as shown below, according to time Constant theory here, Temperature (T) reches to stedy-state in 5 Time Constant.

Thermal Cauer Model

Temperature measurement Graph

Time Constant

I have measured Temperature for 45 Min and from that Graph, I need to get RC Parameters values for the Cauer Model.

Rth1 Cth1

Rth2 Cth2

Rth3 Cth3

Rth4 Cth4

Rth5 Cth5

How can I get these 5 RC pair values from the measurement of the Temperature Graph? Is there any script similar to this "Generate Parameter Data for Equivalent Circuit battery Block" Link: Generate Parameter Data for Equivalent Circuit Battery Block - MATLAB & Simulink - MathWorks Deutschland

Thank you so much in advance!

Alps

Yifeng Tang
on 1 Sep 2021

Simscape user here. So first, I would build the thermal network using the thermal domain. It's just a few thermal resistance and thermal masses. With the thermal resistance and masses values (equivalent to R & C) unknown, I would then use the Parameter Estimator App in Simulink Design Optimization to estimate each of the parameters. I think there are 5 unknown parameters to figure out here, instead of 10, since each RC pair represent only one time constant and should scale with each other. As long as the 5 time constants are distinctive enough from each other, you should be able to obtain reasonable estimates this way. More on Parameter Estimation:

You can of course use electrical circuit model in Simscape and use the same parameter estimation method.

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