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How to obtain the io(s) over d(s) as the control loop

Patrick_66

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Hello everyone, I have some questions that I need everyone's help. How to obtain the io(s) over d(s) as the control loop from the small signal AC model for a flyback converter? Based on the article how did the author get the transfer function for the io(s)/d(s)? I tried getting the transfer function by assuming V1(s) as zero as I assume it to remain constant and the final transfer function that I get is a function with one zero and pole which is not the same as the article that I had read. Moreover, how to obtain i2 cap equation? Thank you for the help in advance.
 

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