不连续电流型Buck-Boost变换器二参数分岔的数值研究

Numerical Study of Two-Parameter Bifurcations for the Discontinuous Current-Programmed Buck-Boost Converters

基于分段光滑映射方程,得到了输入电压E和负载电阻R同时变化时,不连续运行模式下电流型Buck Boost变换器的二参数分岔动力学行为图,得到了发生分岔时映射雅可比矩阵特征值的跃变特征———以不连续的方式跳出复平面上的单位圆.结果表明,映射总有某个或某些轨道点位于相平面中不同区域的边界上,即映射随着输入电压和负载电阻的变化会发生边界碰撞分岔现象,如由周期态到周期态以及由周期态到混沌态的分岔.

Based on piecewise smooth iterative maps, the two-parameter bifurcation diagrams of the discontinuous current-programmed Buck-Boost converter' s dynamical behavior are presented when 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 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 when both the input voltage and load resistance vary, e. g., the bifurcation from a periodic orbit to another periodic orbit or chaotic orbit.