Bifurcation analysis of a Buck DC-DC converter applied to distributed power systems

摘要

The aim of this paper is to investigate through a detailed analysis the stability and bifurcation pattern of the nonlinear phenomena in the Buck DC-DC converter. Such a study may lead to a better explanation of the dynamics behaviours of the converter. First, a nonlinear system modelling is derived for open-loop Buck converter with state variables of the input current and the output voltage. The large-signal time-domain nonlinear averaged model is used to understand the interaction on the slow scale using nonlinear analysis techniques. The model is extended for the closed-loop system while employing a proportional-integral control solution. After the initial analysis of this converter and stability region identification, we utilize the MATCONT and MATLAB packages to analyze the detailed bifurcation scenario as important parameters are varied. The analysis shows how instabilities can occur on the slow and fast scales. The simulation was performed to explore the dynamic performance.