Qu Ying and Zhang Bo, "The precise mathematical discrete model of buck converter in DCM and its analysis for bifurcation stability," Acta Electronica Sinica, Vol. 30, No. 8, pp. 1253-1256, 2002.

has been cited by the following article:

• TITLE: Study on Bifurcation and Chaos in Boost Converter Based on Energy Balance Model

  AUTHORS: Quanmin NIU, Zhizhong JU

  KEYWORDS: power converter, nonlinear, bifurcation, chaos, energy balance model

  JOURNAL NAME: Energy and Power Engineering, Vol.1 No.1, August 18, 2009

  ABSTRACT: Based on boost converter operating in discontinuous mode, this paper proposes an energy balance model (EBM) for analyzing bifurcation and chaos phenomena of capacitor energy and output voltage when the converter parameter is varying. It is found that the capacitor energy and output voltage dynamic behaviors exhibit the typical period-doubling route to chaos by increasing the feedback gain constant K of proportional controller. The accurate position of the first bifurcation point and the iterative diagram of the capacitor energy with every K can be derived from EBM. Finally, the underlying causes for bifurcations and chaos of a general class of nonlinear systems such as power converters are analyzed from the energy balance viewpoint. Com-paring with the discrete iterative model, EBM is simple and high accuracy. This model can be easily devel-oped on the nonlinear study of the other converters.