Design-oriented bifurcation analysis of power electronics systems

Bifurcations and chaos have been studied in many power electronics circuits and systems. Numerous results have been reported regarding the nonlinear behavior of such circuits and systems under variation of some selected parameters, e.g., period-doubling bifurcations, Hopf bifurcations, coexisting attractors, border collisions, etc. The current status of research in the identification of bifurcation behavior in power electronics can be considered mature in the sense that the salient types of bifurcation behavior, their underlying causes and the theoretical parameters affecting them have been well documented. Recently, research in this field has begun to seek possible applications that are of direct relevance to industrial power electronics. One direction is to apply some of the available research results in bifurcation behavior to the design of practical power electronics systems. The main barrier is that the abstract mathematical presentations of the available results are not directly applicable to practical design problems. Our work in this research area has been directed to bridge that gap.