Vol.38 No.3

Journal of Xi'an Jiaotong University

Mar.2004

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Numerical Study of Two-Parameter Bifurcations for the Discontinuous Current-Programmed Buck-Boost Converters
Li Ming,Dai Dong,Ma Xikui
(School of Electrical Engineering,Xi'an Jiaotong University,Xi'an 710049,China)
Abstract:Based on piecewise smooth iterative maps,the two-parameter bifurcation diagrams of the discontinuous current-programmed Buck-Boost converter's dynamical behavior are presented while both input voltage E and load resistance R vary simultaneously. It shows that some eigenvalues of the Jacobian matrix jump over the unit circle in a discontinuous way as a bifurcation once occurs, and there are always some orbit points lying on the boundaries which separate phase plane into different regions. And results indicate that the border collision bifurcations and chaos exist widely while both the input voltage and load resistance vary, e.g., the bifurcation from a periodic orbit to another periodic orbit or chaotic orbit .
Keywords:piecewise smooth;two-parameter;border collision bifurcation;chaos