电工技术学报  2018, Vol. 33 Issue (13): 3140-3148    DOI: 10.19595/j.cnki.1000-6753.tces.170586
电工理论 |
基于振动理论的MCR-WPT系统频率分裂特性研究
孙跃1, 2, 廖志娟2, 叶兆虹2, 唐春森2, 王佩月2
1. 输配电装备及系统安全与新技术国家重点实验室(重庆大学) 重庆 400030;
2. 重庆大学自动化学院 重庆 400030
Research on Frequency Splitting Characteristic of MCR-WPT Systems Based on Vibration Theory
Sun Yue1, 2, Liao Zhijuan2, Ye Zhaohong2, Tang Chunsen2, Wang Peiyue2
1. State Key Laboratory of Power Transmission Equipment & System Security and New Technology Chongqing University Chongqing 400030 China;
2. College of Automation Chongqing University Chongqing 400030 China
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摘要 为了进一步揭示磁耦合谐振式无线电能传输(MCR-WPT)系统频率分裂现象的物理原理,并建立一套使得系统工作在最大传输功率状态的工作准则,提出了一套建模分析方法。首先根据基尔霍夫电压定律对MCR-WPT系统进行了时域建模,并通过矩阵计算得到了传输功率的解析表达式。然后基于振动理论,分析了传输功率的频率分裂现象,阐述并推导了系统的几个关键参数:系统固有频率、电路固有频率和共振频率。接着深入分析了系统固有频率和电路固有频率之间的关系,进一步揭示了频率分裂及系统共振的物理原理。最后,通过实验验证了该理论的有效性和正确性。
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孙跃
廖志娟
叶兆虹
唐春森
王佩月
关键词 磁耦合谐振无线电能传输振动理论频率分裂共振    
Abstract:In order to further reveal the physical interpretation of frequency splitting for magnetic coupling resonant wireless power transfer (MCR-WPT) systems, and to provide a systematic operating principle for MCR-WPT systems operating at the maximum power transfer state, a novel modeling and analyzing method is proposed in this paper. According to the Kirchhoff’s voltage law (KVL), the time-domain model of MCR-WPT system is derived. Then the analytical expression of transfer power is obtained by using matrix calculation. Further, based on vibration theory, the frequency splitting phenomenon of transfer power has been deeply analyzed and several key system parameters, including system natural frequency, circuit natural frequency and resonant frequency, have been elucidated and derived. Meanwhile, the relationship between system natural frequency and circuit natural frequency has also been deeply analyzed, based on which the physical interpretation of frequency splitting and resonance has been revealed. Finally, a prototype has been built and tested to validate the theoretical results.
Key wordsMagnetic coupling resonant    wireless power transfer    vibration theory    frequency splitting    resonance   
收稿日期: 2017-05-08      出版日期: 2018-07-12
PACS: TM724  
基金资助:国家高技术研究发展计划(863计划)(2015AA016201)、国家自然科学基金(61573074)和中央高校基本科研业务费项目(106112016CDJXZ178801)资助
通讯作者: 孙 跃 男,1960年生,教授,博士生导师,研究方向为无线电能传输、电力电子、控制理论应用与自动化系统集成。E-mail:syue@cqu.edu.cn   
作者简介: 廖志娟 女,1992年生,博士研究生,研究方向为无线电能传输。E-mail:925713569@qq.com
引用本文:   
孙跃, 廖志娟, 叶兆虹, 唐春森, 王佩月. 基于振动理论的MCR-WPT系统频率分裂特性研究[J]. 电工技术学报, 2018, 33(13): 3140-3148. Sun Yue, Liao Zhijuan, Ye Zhaohong, Tang Chunsen, Wang Peiyue. Research on Frequency Splitting Characteristic of MCR-WPT Systems Based on Vibration Theory. Transactions of China Electrotechnical Society, 2018, 33(13): 3140-3148.
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https://dgjsxb.ces-transaction.com/CN/10.19595/j.cnki.1000-6753.tces.170586          https://dgjsxb.ces-transaction.com/CN/Y2018/V33/I13/3140