Discrete-time maps for the analysis of bifurcations and chaos in DC/DC converters

The main aim of this paper is to present a systematic classification of discrete-time models proposed in the literature for the analysis of nonlinear phenomena in power electronic dc/dc converters. It is shown how these models can be applied to different operating conditions and used to analyze the converter dynamics under both voltage-mode and current-mode control. The derivation of simplified maps is discussed together with the Jacobian matrices of the maps that are used for the analysis of several bifurcations and chaotic behaviors. The three most common converter topologies, i.e., boost, buck and buck-boost, operating in continuous conduction mode, are considered. An extensive literature review is also reported.