Reduced order model of the boost converter with voltage multiplier cell

The boost converter with voltage multiplier cell allows the extension of static gain by means of the switching capacitor technique, reducing the duty cycle needed to achieve the same voltage gain when compared to the conventional boost converter. However, the modeling of this converter is complex and requires the use of advanced techniques due to the resonant inductor. For this reason, the dynamic model of this converter is still unpublished in the literature. This paper aims to present a reduced order model of this converter, without the resonant energy exchange between the capacitors, so that one can apply the state-space averaging technique assuming small ripple in the state variables. Extensive analysis demonstrates that the proposed modeling, although simplified, is sufficient for an adequate control system design for the converter.