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PWM型开关电容DC-DC变换器的 非线性动力学行为研究
引用本文:张立森,王立志.PWM型开关电容DC-DC变换器的 非线性动力学行为研究[J].电子学报,2008,36(2):266-270.
作者姓名:张立森  王立志
作者单位:1. 空军工程大学理学院,陕西西安 710051;2. 西安理工大学电子工程系,陕西西安 710048
摘    要:建立了PWM型二阶开关电容DC-DC变换器的二维离散映射模型,用非线性动力学理论分析了映射模型定点的稳定情况.以电压反馈系数为参数,通过数值计算描绘了系统动态演化的分岔图和最大Lyapunov指数变化曲线.以二阶串并电容组合开关电容DC-DC变换器为例,用PSPICE软件对其进行模拟仿真,得到了变换器的混沌吸引子.理论分析、数值计算和模拟仿真保持了一致.

关 键 词:开关电容DC-DC变换器  二维离散映射  分岔  混沌  Lyapunov指数  
文章编号:0372-2112(2008)02-0266-05
收稿时间:2007-05-28
修稿时间:2007-09-12

Study on Nonlinear Dynamics Behavior in PWM Switched-Capacitor DC-DC Converter
ZHANG Li-sen,WANG Li-zhi.Study on Nonlinear Dynamics Behavior in PWM Switched-Capacitor DC-DC Converter[J].Acta Electronica Sinica,2008,36(2):266-270.
Authors:ZHANG Li-sen  WANG Li-zhi
Affiliation:1. Institute of Science,Air Force Engineering University,Xi’an,Shaanxi 710051,China;2. Department of Electronic Engineering,Xi’an University of Technology,Xi’an,Shaanxi,710048,China
Abstract:A two-dimensional discrete-time map for pulse-width modulated second-order switched-capacitor DC-DC converter is derived. The stability at fixed point of the map is analyzed under nonlinear dynamics theory. The bifurcation diagram and largest Lyapunov exponent graph with the voltage feedback factor as parameter are obtained through numerical computation. Taking second-order switched-capacitor DC-DC converter as an example, we find a chaotic attractor in the converter by simulating the circuit with PSPICE program. The results from theoretical analysis, numerical computation and analog simulation coincide with each other well.
Keywords:switched-capacitor DC-DC converter  two-dimensional discrete-time map  bifurcation  chaos  Lyapunov exponent
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