We develop an analytical map for a single phase bidirectional boost converter. This map enables the analysis of the dynamics of the converter faster and without any convergence problems. For the closed-loop converter, we show how instabilities can occur on the slow and fast scales. Conventional analyzes based on averaged models can not predict the fast-scale instability because such models do not account for the switching-frequency ripple.
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Mazumder et al. (2003) studied this question.
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