Rare phenomena and chaos in switching power converters

Abstract

This paper demonstrates the general applicability of the method of complete bifurcation groups to provide the global analysis of nonlinear dynamics of simple hybrid electronic systems. Our research is devoted to the investigation of complex nonlinear phenomena, including rare attractors and chaotic modes of operation in one of the most widely used electronic switching power converters (SPC)—boost one. Firstly, the discrete-time model, describing the operation of the mentioned power converter, is defined. Then the obtained model is used, providing numerical investigation of the dynamics of SPC on the basis of the method of complete bifurcation groups: the bifurcation map is constructed in two-parameter plane, the complete one-parameter bifurcation diagrams for several sections of the bifurcation map are obtained, and the most significant features of nonlinear dynamics of boost converter are studied. The results obtained in this paper prove that the design of reliable switching power converters is possible effectively applying the method of complete bifurcation groups, which allows the prediction and avoidance of occurrence of undesirable regimes (such as chaotic modes of operation, variety of rare attractors, complex protuberances, regions of unstable periodic infinitium) in the operation of these devices.