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Duty Cycle Modulation (DCM)

A primary control strategy where the output voltage is regulated by varying the ratio of the ON time (TonT_{on}) to the switching period (TsT_s), defined by the duty cycle D=Ton/TsD = T_{on}/T_s. This is fundamental to many DC-DC converters.
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The statement of the theorem

The duty cycle DD is defined as the ratio of the ON time TonT_{on} to the switching period TsT_s: D=TonTsD = \frac{T_{on}}{T_s} For a DC-DC converter, the average output voltage VoutV_{out} is related to the input voltage VinV_{in} and the duty cycle DD by the voltage conversion ratio: VoutVin≈D1−D\frac{V_{out}}{V_{in}} \approx \frac{D}{1-D} (assuming ideal components and steady state).