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DC-DC开关变换器中混沌映射的不变分布求解及其应用 被引量:2

CALCULATION OF INVARIANT PROBABILITY DISTRIBUTION FOR CHAOTIC MAP IN DC-DC CONVERTER AND ITS APPLICATION
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摘要 开关电源中存在的混沌现象可以用来提高电磁兼容(EMC),通过量化其混沌映射的不变分布可达到控制开关变换器电磁干扰(EMI)的目的。该文用简单的映射,描述了DC-DC开关变换器的混沌运行。并在此基础上,利用特征向量法对其混沌映射的不变分布进行了求解。仿真结果通过与混沌映射图和其分岔图的比较证明了该算法在求解DC-DC变换器混沌映射不变分布时的正确性。进而利用不变分布对系统输入、输出量的功率频谱密度、平均开关频率进行了估计,仿真和实验结果证明了估计的正确性。同时不变分布也为混沌电路的参数设计提供了有效途径。 Chaos is the inherent phenomenon in DC-DC converter, which can be used to improve electromagnetic compatibility (EMC). it is possible to control electromagnetic interference (EMI) of the system by calculating the chaotic map's invariant probability distribution. This paper describes a DC-DC converter with simple map, which operates in chaos. Based on this, the invariant probability distribution of its chaotic map is calculated using eigenvector method. By comparing the invariant probability distribution with chaotic map and bifurcation, the results of simulation can prove the method is the same with calculating the invariant probability distribution of the chaotic map in DC-DC converter. The calculation can also be used to estimate the power spectral density of inputs or outputs and the average frequency of switching. At the mean time, it paves the way for calculating the parameters of chaotic DC-DC converter.
作者 李虹 张波
出处 《中国电机工程学报》 EI CSCD 北大核心 2005年第23期54-60,共7页 Proceedings of the CSEE
基金 国家自然科学基金项目(60474066)~~
关键词 不变分布 电磁兼容 混沌 开关变换器 功率频谱密度 Invariant probability distribution Electromagnetic compatibility (EMC) Chaos DC-DC converter Power spectral density
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参考文献16

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