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Derivation of the AC small-signal circuit and the canonical form of a DC-DC buck converter

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I'm new to this forum and hope you can help me. I am in the process of designing an input filter for a DC-DC step-down converter 12V-5V/1A (Pic.1).enter image description here

I am trying to determine the transfer function and input impedance of the converter using the methods from the book Fundamentals of Power Electronics by Robert W. Erickson, Dragan Maksimović. In my case, I am looking at a buck converter with 2 input capacitors. From this circuit, I would like to obtain the AC small-signal circuit and also the canonical form.

Can anyone verify if the AC small signal circuit is correct (Pic 2)? And does anyone know how to get the canonical from it, or what steps are necessary to transfer the capacitors to the secondary side (Pic.2)?

enter image description here


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