| 引用本文: | 陆益民,周佳,豆欢朋,张波.磁耦合无线电能传输系统的忆阻特性及多稳定性[J].控制理论与应用,2026,43(3):596~606.[点击复制] |
| LU Yi-min,ZHOU Jia,DOU Huan-peng,ZHANG Bo.Memristive characteristics and multistability of inductive wireless power transfer system[J].Control Theory & Applications,2026,43(3):596~606.[点击复制] |
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| 磁耦合无线电能传输系统的忆阻特性及多稳定性 |
| Memristive characteristics and multistability of inductive wireless power transfer system |
| 摘要点击 460 全文点击 86 投稿时间：2023-10-19 修订日期：2025-12-17 |
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| DOI编号 10.7641/CTA.2024.30687 |
| 2026,43(3):596-606 |
| 中文关键词 无线电能传输 忆阻器 分岔 混沌 多稳定性 共存吸引子 S型函数模型 |
| 英文关键词 wireless power transfer memristor bifurcation chaos multistability coexisting attractors sigmoid func tion model |
| 基金项目 国家自然科学基金项目(52167021),广西研究生教育创新计划项目(YCSW2023108)资助. |
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| 中文摘要 |
| 本文研究磁耦合无线电能传输(WPT)系统的忆阻特性及多稳定性.首先,基于S型函数建模法推导桥式整
流滤波环节的忆阻器等效模型,建立LCC-S型无线电能传输PI控制系统的忆阻等效电路模型;然后,分别以参数和
初始值作为分岔参数分析系统的动力学特性,发现系统在不同的参数条件下呈现出周期一、准周期和点–混沌簇发
振荡等多种动力学现象.因为系统是一个无平衡点系统,它所产生的吸引子全部为隐藏吸引子,呈现出共存多吸引
子和多稳定性等极端依赖于初始值的特殊动力学现象;最后,通过仿真和实验对系统的忆阻特性和多稳定性进行
了验证,结果表明无线电能传输PI控制系统具有忆阻特性,在同一参数条件下,因初始状态不同而产生不同的终态,
有着完全不同的动力学行为,这增加了系统的不确定性.分析结果为从参数和结构两方面改善控制系统从而提高
系统的稳定性和传输效率提供了依据. |
| 英文摘要 |
| This article studies the memristor characteristics and multistability of inductive wireless power transfer (WP
T) systems. Firstly, based on the sigmoid function modeling method, the equivalent memristor model of the bridge rectifier
with filter circuit is derived, and a memristor equivalent circuit model for the LCC-S type WPT proportional-integral PI
control system is established. Then, the dynamic characteristics of the system were analyzed using parameters and initial
values as bifurcation parameters. It was found that the system exhibited various dynamic phenomena such as periodic,
quasi-periodic, and point-chaotic cluster oscillations under different parameter conditions. Because the system has no equi
librium point, all the attractors it generates are hidden attractors, exhibiting special dynamic phenomena such as coexisting
multiple attractors and multistability that are extremely dependent on initial values. Finally, the memristor characteristics
and multistability of the system were verified through simulation and experiments. The results showed that the WPT PI
control system has memristive characteristics, under the same parameter conditions, different initial states produce different
f
inal states, and have completely different dynamic behaviors, which increases the uncertainty of the system. The analysis
results provide a theoretical basis for improving the stability and transmission efficiency of the control system from both
parameter and structural aspects. |
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