State equation boost converter

Thread Starter


Joined Jan 12, 2009

I am trying to find the state equations of a boost converter; see document attached. But I am having trouble with the inclusion of the internal resistance of the output capacitor.

I managed to create the state equations without the inclusion of Rc but for some research I am doing I need an inversable matrix which is why I need the inclusion of Rc (because it will make my matrix inversable later on).

I found a solution in a book: complex behaviour of switching power converters (see end of the attached document for that solution) but I can not get to it and the book does not show the steps.
I managed to get the ON state although I am not 100% if I got there legally. But I can not get the OFF state.

In the attached document I have my steps and am hoping you guys can help.

sincerely yours,