boost converter: derivation of equation of its transfer function and efficiency

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pankaj jha

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hello everyone
i am studying the paper titled-
"Electromagnetic Energy Harvesting Circuit With Feedforward and Feedback DC–DC PWM Boost Converter for Vibration Power Generator System"
(Xinping Cao, Wen-Jen Chiang, Ya-Chin King, Member, IEEE, and Yi-Kuen Lee, Member, IEEE)

I cannot get the derivation of the equation3 and 4 (page 681). Can anyone tell me how the equations has been derived.
I am uploading the relevant diagrams and equations only for quick reference.
 

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You must derive with average model. Pls neglect small ripple on voltage. For details, I suggest you reading: Fundamentals of Power Electronics.
 

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If so, pls read the book I recommended. It can easily be downloaded from web.
 

If so, pls read the book I recommended. It can easily be downloaded from web.

ya plz give me the name of the book... or ... the link where the book is available if possible....
Thanks for ur reply.
 

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