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Is the calculation of the conduction loss on charge pump correct?

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jalinmes

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Shouldnt the conduction loss of the flying cap shown in the attached file
equal to= Pc= (2Iout)^2 /(fc)

In the paper it shows Iout^2 instead of (2Iout)^2

is the mistake by the paper or my understanding is wrong

If what is shown in the paper is correct, then why?

thanks,
 

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Ideally, flying cap will not have energy loss. If charge pump works correctly, the loss will be neglectable. Pls make sure the voltage is same for before switching and after switching.
 

U didnt answer the question. This paper is assuming there is a loss on it and it is calculating how much the loss is.

Verifying the way they calculated it is what I was asking
 
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