Analysis of Hopf Bifurcation in DC-DC Luo Converter using Continuous Time Model

Abstract

DC-DC converters have been reported as exhibiting a wide range of bifurcations and chaos under certain conditions. This paper analyses the bifurcations in current controlled Luo topology operating in the continuous conduction mode by means of a continuous time model. The stability of the system is analyzed by studying the locus of the complex eigen values and the characteristic multipliers locate the onset of Hopf bifurcation. The 1-periodic orbit loses its stability via Hopf bifurcation and the resulting attractor is a quasi-periodic orbit. This later bifurcates to chaos via border collision bifurcation. A computer simulation using MATLAB SIMULINK confirms the predicted bifurcations. It has also been inferred from the experimental results that the margin of system stability decreases as the load decreases.