Final Year Project (Week 14)

Week 14

Design the PDF controller based on ASHP & Radiator & IDEAS heating system 

The task for this week is to apply the PDF control theory for my heating system. Due to the complication of the 4th order system, there needs a simplification for system equations. There are 9 equations and could be combined with three differential equations for heat pump output, temperature of water and temperature of radiator respective.

However, this is not the simplest form, because the controller parameters' value can`t be obtained from these equations directly. After a series of complicated transform, substitution and calculations, a final equation is obtained as shown below:

 Where:

Then we can find out the expression of h(x(t)), which could be used to calculated the value of two control parameters:

Then the CB can be approximate as the way that shown below, meanwhile, the value of Kp and Ki can be deduced as a dynamic form. The next step is to implement this into Simulink model, analysis the simulation results.