Please I have 4 groups of 8 sets of differential equations that I want to use for simulations. Each set has 8 differential equations to form a group. Each group is coupled with another group through a coupling coefficient. Now I want to simulate the four groups. It is like a cylinder that is divided into four nodes and each node has 8 sets of differential equations that need to be solved simultaneously. I have been able to simulate a single group successfully using the Matlab function block in Simulink. However, I want to extend the function block to accommodate 3 more groups of the 8 sets. Then I will be able to solve the 4 groups of 8 sets of the differential equations simultaneously. when I added more inputs and outputs to the function block, it was too large and confusing to me. I feel there should be a better way to manage and solve such problems. I have seen in journal papers where 10 nodes have been used. So I feel there should be an efficient and manageable way to accommodate very large systems with very large sets of equations in Matlab may be Matlab function block or other methods in Matlab/Simulink? Please I need suggestions on how to realize the system.
Hello,
Have tried to use the blocks "goto" and "from" which you can find in simulink/signal routing?
i suggest you to use a different color for each goto/from couple related to a specific group to facilitate the navigation.
Elyazid Amirouche Thank you for the insight. It seems 'goto' and 'from' blocks may still be messy. But I will try it. Thank you for the beautiful insight. I am thinking of extending to several nodes later. For instance, 10 nodes could make my equation to reach 80 sets. The block may not be useful at that point.
J. I. Hidalgo-Reyes I know about S-function but I have never tried it. I will check it out. Thank you Prof.
J. I. Hidalgo-Reyes S-Function is very slow to simulate, relatively hard to implement, and when you use it the "rapid accelerator" mode will not really accelerate the simulation, use "Matlab Function" instead, it's easier to use and very fast to simulate especially when you use "rapid accelerator" mode, but a proper compiler must be installed in your machine.
Elyazid Amirouche thank you for the insight. The Matlab function block would require about 32 integrator block to be linked back from the output to the input. Now I may need about 64 blocks of goto and gofrom blocks. Seems messy still. However, I would try it. I have tried to break my system into subsystems and later linked them together. However, the closed-loop response was zero, which showed there might be a semantic error. Thank you. Please I sent a DM to you already
Kamal Abdulraheem okey, if you have any other problem you can still ask for help, i will do my best to help you
You can use this article, i hope it help:
https://www.mathworks.com/help/symbolic/solve-a-system-of-differential-equations.html
Hello
I recommend using the "MATLAB Function".
I have simulated systems of order 200 with MATLAB Function.
Using MATLAB Function in Simulink is like writing an m-file in MATLAB.
Anyways, if you had any problems you can message me.
Regards,
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