直流-直流开关变换器分段光滑系统带权Lempel-Ziv复杂度分析
Analysis of weight Lempel-Ziv complexity in piecewise smooth systems of DC-DC switching converters
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摘要: 利用直流-直流开关变换器分段光滑系统切换过程中电路拓扑结构改变的特点,监测每个开关周期中的开关状态,运用计算机逻辑运算中二进制转十进制的方法提出一种新型的开关模块概念,并用其量化系统在单个开关周期中的复杂程度建立了分段光滑系统的符号时间序列.根据Lempel-Ziv(L-Z)复杂度和由新型开关模块建立的符号时间序列进一步提出带权L-Z复杂度概念,从单一变量符号时间序列中定性分析分段光滑系统的稳定性、非线性和复杂程度,并且揭示出系统的运动规律和动力学结构.最后,以电流反馈型buck变换器为例具体说明新型开关模块时间序列的建立和带权L-Z复杂度的分析结果.
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关键词:
- 直流-直流开关变换器 /
- 开关模块 /
- 符号时间序列 /
- 带权Lempel-Ziv复杂度
Abstract: A novel concept of switching block is presented via detecting the switching behavior of each switching period in piecewise smooth system of DC-DC switching converter,and logical arithmetic method of computer is used to obtain decimal system from binary system, so complex degree of the system during one switching period is quantized as switching block and the symbolic time sequence of the piece smooth system is established.Weight Lempel-Ziv(L-Z) complexity is derived based on the L-Z complexity and the symbolic time sequence,and the qualitative analysis of nonlinear and complex degree in piecewise smooth system from symbolic time sequence with single variable is carried out.The motion rule and the dynamics structure of the whole system are revealed.Finally,The present current mode controlled buck converter is studied as an example to establish symbolic time sequence and to illustrate the applications of weight L-Z complexity. -
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