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A new method for investigating the complex dc-dc converters dynamics is suggested in this paper. The method is based on the formulation of a nonlinear difference equation with respect to the duty cycle. This equation embodies the nonlinear and discrete-time characteristics of dc-dc converters and allows both the calculation of normal and subharmonic steady states and their local stability analysis. The method is presented through the analysis of a voltage controlled Buck dc-dc converter.
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Papafotiou et al. (2004) studied this question.
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