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Ideal Boost Converter Model

A DC-DC converter that steps up voltage. The output voltage is determined by the ratio: Vout=1−DD⋅VinV_{out} = \frac{1-D}{D} \cdot V_{in}. This model is crucial for battery applications.
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The statement of the theorem

For an ideal DC-DC boost converter operating in steady state, the output voltage VoutV_{out} is determined by the duty cycle DD and the input voltage VinV_{in}:\nVout=1−DD Vin (Ideal case)V_{out} = \frac{1-D}{D} \text{ } V_{in} \text{ (Ideal case)}\nThis relationship holds provided D∈(0,1)D \in (0, 1).