中文摘要：

本文研究了并联电流模式控制的Boost变换器分叉序列。首先，对基于电流模式控制的Boost变换器的状态方程，利用龙格一库塔（Runge—Kutta）算法进行仿真，取每个时钟脉冲时刻的电路状态变量构成庞加莱截面，画出在参考电流变化方向上的分叉图。然后，利用离散映射迭代法推导出并联电流模式控制的Boost变换器分叉序列中各分叉点的值。最后，通过理论推导出的值与仿真结果的对比，发现二者比较吻合，从而给出变换器稳定设计的理论依据。

英文摘要：

This paper studied the bifurcation series of muhi-parallel-connected Boost converters in current-controlling mode. At first, as to the status equation of muhi-parallel-connected Boost converters, we used Runge-Kutta arithmetic to emulate and got its result. We chose the circuit status variable at every clock pulse to form a Poincare section and drew the bifurcation diagram along the direction of referenced current. Then, we got the value of the bifurcation series of multi-parallel-connected Boost converters in current-controlling mode on every bifurcation point by the method of discrete map and iteration. Furthermore the theoretical design principles insuring stable operation of converter are concluded. In this way, simulation can gain the same results as those from analysis as well.