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Boost Converter, Relate VLoad to Vin as a function of duty ratio

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mikeyw88

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Derive the relationship between load voltage, Vload, and the input voltage, Vin, as a function of the duty ratio of S1.


I know it should be similar to that of a basic boost converter but I do not know how to derive either of them.

The boost converter I know of has Vout =[Vin*Ts]/[(1-D)*Ts] or [Vin/(1-D)].


Edit: Now I'm not sure if this is a boost converter. I am so lost.
 
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