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 dis crete-time models proposed in the literature for the analysis of nonlinear phenomena in power electronic dc/dc converters. It is shown how these model s can be applied to different operating conditions and used to analyze the converter dynamics under both voltage-mode and current-mode control. The de rivation of simplified maps is discussed together with the Jacobian matrice s of the maps that are used for the analysis of several bifurcations and ch aotic behaviors. The three most common converter topologies, i.e., boost, b uck and buck-boost, operating in continuous conduction mode, are considered . An extensive literature review is also reported.