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【24h】Smale Horseshoes and Symbolic Dynamics in the Buck–Boost DC–DC Converter

机译Buck-Boost DC-DC转换器中的马蹄铁和符号动力学

【摘要】DC-DC converter, which is used to change and control voltage magnitude, is a really important part of the power electronic conditioning systems. Study of nonlinear dynamics and chaos in power electronics are becoming increasingly significant in the power quality and stability of distributed power generation systems. In this paper, the mechanisms that give rise to chaotic dynamical in the buck- boost power converter is studied. The Poincare map of a buck-boost converter system possesses the invariant manifolds having a delightfully complicated structure. Based on the Smale-Birkhoff homoclinic theorem, the structure of invariant manifolds of a fixed point indicates the presence of Smale horseshoe. The horseshoe map of the system is topologically conjugate with the shift map of the symbolic dynamics. The system can be identified with the Smale horseshoe by means of its symbolic descriptions. Furthermore, since the Smale horseshoe map implies sensitive dependence on the initial condition, homoclinic intersection of stable and unstable manifolds may be applied to illustrate the existence of chaos.

【摘要机译】用于更改和控制电压幅度的DC-DC转换器是电力电子调节系统中非常重要的部分。电力电子系统中非线性动力学和混沌的研究在分布式发电系统的电能质量和稳定性方面正变得越来越重要。本文研究了降压-升压功率转换器中引起混沌动力学的机制。降压-升压转换器系统的庞加莱映射图具有具有令人愉快的复杂结构的不变歧管。根据Smale-Birkhoff同宿定理,一个固定点的不变流形的结构表明存在Smale马蹄形。系统的马蹄形图与符号动力学的移位图在拓扑上共轭。可以通过Smale马蹄铁通过其符号描述来识别该系统。此外,由于Smale马蹄形图暗示着对初始条件的敏感依赖性,因此可以应用稳定和不稳定歧管的同斜交点来说明混沌的存在。

【作者】Yanfen Wang;Ru Yang;Bo Zhang;Wei Hu;

【作者单位】;

【年(卷),期】2018(65),1

【年度】2018

【页码】800-809

【总页数】10

【原文格式】PDF

【正文语种】eng

【中图分类】;

【关键词】Manifolds;Chaos;Stability criteria;Circuit stability;Numerical stability;DC-DC power converters;

机译 歧管;混沌;稳定性判据;电路稳定性;数值稳定性; DC-DC电源转换器;
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