带恒功率负载DC-DC变换器的Lyapunov指数计算和动力学特性分析

doi:10.19595/j.cnki.1000-6753.tces.160574

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Abstract The Lyapunov exponents of a DC-DC converter with constant power load cannot be calculated at the switching points because of the inexistence of Jacobi matrixes at these points. Aiming at this problem, this paper studies the Lyapunov exponent algorithm of such system using the local maps to construct the system compound Poincaré mapping. Thus, the piece-wise smooth nonlinear dynamic properties of the system can be analyzed according to the Lyapunov exponents. The calculating process is illustrated by the example of a Buck converter with constant power load. Both the local maps of non-switching and switching stage are deduced in detail. Then compound Poincaré mapping of system is constructed based on these two local maps. The theoretical results are verified by the numerical and circuit simulations. It is shown that the accuracy of Lyapunov exponents is improved by introducing the local mapping of load switching. The proposed method can also be extended to the other kind of switching power converters with nonlinear load or nonlinear source.

Key words： DC-DC converter constant power load Lyapunov exponent chaos piece-wise nonlinear system

Published: 16 January 2018

PACS:

TM46

Fund:国家自然科学基金（51667005）和广西自然科学基金（2014GXNSFAA118383）资助项目

Corresponding Authors: 陆益民女,1970年生,博士,教授,博士生导师,研究方向为电力电子系统的分析与控制。E-mail: y.m.lu@gxu.edu.cn

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	Huang Liangyu
	Lu Yimin

Cite this article:

Huang Liangyu,Lu Yimin. Lyapunov Exponent Calculation and Dynamics Properties of DC-DC Converter with Constant Power Load[J]. Transactions of China Electrotechnical Society, 2017, 32(24): 97-106.

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https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.160574 OR https://dgjsxb.ces-transaction.com/EN/Y2017/V32/I24/97

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