I'm trying to design a digitally controlled boost PFC supply.
I've chosen to implement a converter according to the Biricha/ST presentation found here: here
I think once I have determined the voltage loop and current loop compensators I need to find equivalent z-domain tranfer functions by the bilinear transform method or similar. The part I'm stuck on is finding suitable compensator transfer functions.
In order to find suitable transform functions for the compensators, I believe I need to obtain a small-signal model of the converter which I think I find in Erickson and Maksimovic's book: Erickson and Maksimovic's book section 8.2.2. The small-signal model transfer functions are developed in terms of D prime which for the PFC boost controller, varies over each half cycle of the line input.
I found some techniques from Marcos Alonso's Youtube lecture where the varying D prime is averaged away.
Do I need to re-determine the small signal model to include effects such as output capacitor ESR and inductor series resistance?
Should I follow the Alsonso method in its entirety to obtain the transfer function?