DC-DC变换器的信息熵分析

摘要

In order to identify the DC-DC converter system behavior with different feedback coefficient k, we propose a method, which adopts the ideas of limit and the information about entropy to estimate the DC-DC converter nonlinear behavior by considering the characteristics that the stability of the system in a state of cycle and when the system is in chaos will not be repeated. This method analyses the entropy of the system in periodic and chaotic states and can quantify the period-doubling and chaos behaviors in DC-DC converters. In this paper, we simulate the first-order voltage feedback DCM Boost converter and DCM Buck converter. Results indicate that, according to the proposed information entropy, the bifurcation point, cycle number, and the location of the chaos can be accurately reflected. The above method improves the theory and method of the converter nonlinear dynamics analysis.%为确定不同反馈系数k下DC-DC变换器系统的行为，结合系统处于周期状态时的稳定性和系统处于混沌时不会重复经过每一点的特点，提出了一种采用极限思想和信息熵来估计DC-DC变换器非线性行为的方法。该方法能准确分析系统处于周期状态和混沌状态的熵值，量化了DC-DC变换器倍周期分叉和混沌行为。以一阶电压反馈DCM Boost变换器和DCM Buck变换器为例进行仿真。研究结果表明，所提出的信息熵可以准确反映分叉点、周期数及产生混沌的位置，完善了该类变换器非线性动力学分析的理论和方法。