Solving ODE when parameters have a tolerance

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Hi,
I have a set of variables described as analytical functions in which their parameters can change within a tolerance. I usually use EXCEL to analyse the effect of a parameter on a variable so that I can find out the optimum operating point of a variable or sometimes just a list of operating points for a parameter’s range. I was wondering if I can use Simscape in Simulink to do this type of analysis, effect of parameters tolerance on the operating point of a circuit. I would like to draw the electrical circuit and let Simulink solve the equations and get the output trend following a parameter change without deriving the analytical solution, is it possible? can someone give some hints where can I start with?
Ismael

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Abhijeet
Abhijeet 2023-5-31
Hi Ismael,
Yes, it is possible to simulate the effect of parameter tolerances on the operating point of a circuit using Simscape in Simulink. Simscape is a physical modeling tool that allows you to model and simulate multidomain physical systems.
You can use Simscape to model your electrical circuit and assign the parameter values using variables. You can then vary these variables within a tolerance range and simulate the circuit using Simulink. The simulation will then output the trend of the operating point for the different parameter values.
You can refer the documentation Set Signal Tolerance.
Additionally, you can try exploring Monte Carlo SImulation & Monte Carlo Analysis, to study how a model responds to randomly generated inputs. You can find example of usage of Monte Carlo Simulation here.
Thanks

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