PID controller in pde heat transfer simulation

Hello, I‘m using the pde toolbox to simulate the heat transfer in a component by reading the .stl file and then applying the following steps. So far so good. Now I want to simulate a PID controller to control the incoming heat flux by measuring the temperature at a specific point and calculating the error between the temperature at said point and the desired temperature. I already wrote the basic script for my PID controller but I‘m not sure at which point in the pde simulation it neets to be included. My idea was to include the PID calculation in the calculation of the incoming heat flux by using the time- and space dependent calculation of the thermalBC. Has anyone done this before and knows how to do this? Thank you!

Answer 1

[Shivam Lahoti]

Hi Pauline Wieder,

From what I can understand is that you have a heat transfer simulation using the PDE toolbox and now you desire to incorporate a PID controller to control the incoming heat flux. And you have a controller designed for the same independently, now you need to include this in your heat flux PDE.

I found a journal exploring a similar workflow, have a look you might get help from the same to incorporate PID in heat transfer equation. Below is the link to the same:

Temperature Control System and its Control using PID Controller (ijert.org)

Hope this helps.