I'm building a heating controller using PIC (16F877) and heat trace cables (cables that essentially act as resistors and heat up when current is passed through them).
Something like what you would see in the oil industry, but that is designed for household applications (e.g. roof/driveway deicing (very useful here in Canada ), floor heating, pipe freeze protection etc.)
Now, I need to implement different control schemes for the controller (PID, bang-bang and maybe fuzzy).
To create a digital PID controller I need to model floors, driveway and water pipes with transient heat transfer equations.
I'm familiar with steady state modelling (natural and forced convection, conduction and radiation) but I don't have a clue about transient modelling.
Does anybody have any experience with transient heat transfer modelling?
In other words does anybody know any sites where I could find differential equations or any hints on modelling for these heat transfer processes?
Any info on this would be appreciated seeing how I'm lost.
Something like what you would see in the oil industry, but that is designed for household applications (e.g. roof/driveway deicing (very useful here in Canada ), floor heating, pipe freeze protection etc.)
Now, I need to implement different control schemes for the controller (PID, bang-bang and maybe fuzzy).
To create a digital PID controller I need to model floors, driveway and water pipes with transient heat transfer equations.
I'm familiar with steady state modelling (natural and forced convection, conduction and radiation) but I don't have a clue about transient modelling.
Does anybody have any experience with transient heat transfer modelling?
In other words does anybody know any sites where I could find differential equations or any hints on modelling for these heat transfer processes?
Any info on this would be appreciated seeing how I'm lost.