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

[pankaj jha]

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.

 

[leo_o2]

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

 

[pankaj jha]

You must derive with average model. Pls neglect small ripple on voltage and current.

I am new to power electronics. sir can u plz provide me the derivation.

 

[leo_o2]

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

 

[pankaj jha]

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.

 

[leo_o2]

Fundamentals of Power Electronics
Fundamentals of Power Electronics
By Erickson, Robert W., Maksimovic, Dragan