Analysis of chaotic buck, boost and buck-boost converters through switching maps

This paper is concerned with the analysis and comparison of nonlinear phenomena in current and voltage controlled boost, buck and buck-boost DC/DC converters. The study is carried out by using three different discrete time maps: the stroboscopic map, the S-switching map and the A-switching map, which are obtained by different samplings of the state variables. The construction of a general A-switching map is outlined. Under realistic assumptions on the switching frequency, simplified closed form maps are presented. The use of a certain Jacobian matrix for the analytical detection of some bifurcations is proposed. Routes to chaos exhibited by the three converters are discussed and compared via numerical experiments.