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Article(id=1322560512102089681, tenantId=1146029695717560320, journalId=1146031654075715584, issueId=1322560475263513295, articleNumber=null, orderNo=null, doi=10.13234/j.issn.2095-2805.2026.9.263, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1730736000000, receivedDateStr=2024-11-05, revisedDate=1736265600000, revisedDateStr=2025-01-08, acceptedDate=1738684800000, acceptedDateStr=2025-02-05, onlineDate=1793252598071, onlineDateStr=2026-10-29, pubDate=1790697600000, pubDateStr=2026-09-30, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1793252598071, onlineIssueDateStr=2026-10-29, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1793252598071, creator=13701087609, updateTime=1793252598071, updator=13701087609, issue=Issue{id=1322560475263513295, tenantId=1146029695717560320, journalId=1146031654075715584, year='2026', volume='24', issue='9', pageStart='1', pageEnd='370', issueExtLink='null', onlineDate='null', pubDate='1790697600000', pubDateStr='2026-09-30', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1793252589288, creator='13701087609', updateTime=1793252589288, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext=null, issueFiles=null, downloadFileDto=null}, startPage=263, endPage=274, ext={EN=ArticleExt(id=1322560512454411218, articleId=1322560512102089681, tenantId=1146029695717560320, journalId=1146031654075715584, language=EN, title=Design Method of Dual-frequency Compensation Network for Wireless Power Transfer System, columnId=1152281494212408178, journalTitle=Journal of Power Supply, columnName=Wireless Power Transfer, runingTitle=null, highlight=null, articleAbstract=

The single inverter single transmitter multi-frequency and multi-receiver inductive wireless power transfer (WPT) system can simultaneously support multiple loads of different frequencies, with a simple structure and good compatibility, and has great potential for application. Its compensation network requires a large number of passive components, forming a high-order system with complex constraints, and thus the parameter design of high-power and high-efficiency compensation network faces enormous challenges. The dual-frequency LCC-S structure is taken as an example, and the design variables are reduced from seven to only one through analysis. In order to achieve high-power and high-efficiency transmission of the system, a dual-frequency compensation network design method based on differential evolution algorithm and Lagrange multiplier method is proposed, taking into account the influence of inductance parasitic resistances. Finally, an experimental prototype was constructed based on the design scheme obtained by this method. Experimental results demonstrate that the prototype can achieve load independence and constant voltage characteristics without relying on control methods, with a system output power of 165.83 W and a total efficiency of 94.05%.

, authors=Jie WU1, Zengguang YUE2, Fei KONG2, Xu LI2, Yafei CHEN2, Mingjie WANG2, authorsList=Jie WU, Zengguang YUE, Fei KONG, Xu LI, Yafei CHEN, Mingjie WANG, authorCompany=null, correspAuthors=Jie WU, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1322560512768984019, articleId=1322560512102089681, tenantId=1146029695717560320, journalId=1146031654075715584, language=CN, title=无线电能传输系统双频补偿网络设计方法, columnId=1149830138994647045, journalTitle=电源学报, columnName=无线电能传输, runingTitle=null, highlight=null, articleAbstract=

单逆变器单发射线圈多频多负载感应谐振式无线电能传输WPT（wireless power transfer）系统能够同时支持多个不同频率的负载，结构简单，兼容性好，具有巨大的应用潜力。该系统补偿网络所需无源元件数量多，系统阶数高，且系统约束条件复杂，大功率高效率补偿网络的参数设计面临巨大挑战。以双频LCC-S结构为例，通过分析将设计变量从7个减少至1个，提出一种基于差分进化算法和拉格朗日乘数法的双频补偿网络设计方法，并考虑了电感寄生电阻的影响，兼顾了系统大功率和高效率传输。最后，按照该方法得出的设计方案搭建实验样机。实验结果表明，样机可不依赖于控制方法实现负载独立和恒压输出特性，系统输出功率达165.83 W，总效率达94.05%。

, authors=武洁1, 岳增光2, 孔飞2, 李旭2, 陈亚斐2, 王明杰2, authorsList=武洁, 岳增光, 孔飞, 李旭, 陈亚斐, 王明杰, authorCompany=null, correspAuthors=武洁, authorNote=

岳增光（1997—　），男，硕士研究生。研究方向：无线电能传输。E-mail：。

孔飞（1998—　），男，硕士研究生。研究方向：无线电能传输。E-mail：。

李旭（1999—　），男，硕士研究生。研究方向：无线电能传输。E-mail：。

陈亚斐（1989—　），男，博士，讲师。研究方向：无线电能传输。E-mail：。

王明杰（1982—　），男，博士，副教授。研究方向：控制与优化。E-mail：。

, correspAuthorsNote=
武洁（1979—　），男，通信作者，博士，副教授。研究方向：无线电能传输，混合励磁电机。E-mail：。
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岳增光（1997—　），男，硕士研究生。研究方向：无线电能传输。E-mail：。

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岳增光（1997—　），男，硕士研究生。研究方向：无线电能传输。E-mail：。

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孔飞（1998—　），男，硕士研究生。研究方向：无线电能传输。E-mail：。

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孔飞（1998—　），男，硕士研究生。研究方向：无线电能传输。E-mail：。

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李旭（1999—　），男，硕士研究生。研究方向：无线电能传输。E-mail：。

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李旭（1999—　），男，硕士研究生。研究方向：无线电能传输。E-mail：。

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陈亚斐（1989—　），男，博士，讲师。研究方向：无线电能传输。E-mail：。

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陈亚斐（1989—　），男，博士，讲师。研究方向：无线电能传输。E-mail：。

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王明杰（1982—　），男，博士，副教授。研究方向：控制与优化。E-mail：。

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王明杰（1982—　），男，博士，副教授。研究方向：控制与优化。E-mail：。

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无线电能传输系统双频补偿网络设计方法
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武洁 1 , 岳增光 2 , 孔飞 2 , 李旭 2 , 陈亚斐 2 , 王明杰 2
电源学报 | 无线电能传输 2026,24(9): 263-274
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电源学报 |无线电能传输 2026 , 24 (9) : 263 -274
无线电能传输系统双频补偿网络设计方法
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孔飞（1998—　），男，硕士研究生。研究方向：无线电能传输。E-mail：。

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王明杰（1982—　），男，博士，副教授。研究方向：控制与优化。E-mail：。

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武洁1 , 岳增光2 , 孔飞2 , 李旭2 , 陈亚斐2 , 王明杰2
作者信息
  • 1.浙江水利水电学院电气工程学院，杭州　310018
  • 2.郑州轻工业大学电气信息工程学院，郑州　450002
通讯作者:
武洁（1979—　），男，通信作者，博士，副教授。研究方向：无线电能传输，混合励磁电机。E-mail：。
作者简介:

岳增光（1997—　），男，硕士研究生。研究方向：无线电能传输。E-mail：。

孔飞（1998—　），男，硕士研究生。研究方向：无线电能传输。E-mail：。

李旭（1999—　），男，硕士研究生。研究方向：无线电能传输。E-mail：。

陈亚斐（1989—　），男，博士，讲师。研究方向：无线电能传输。E-mail：。

王明杰（1982—　），男，博士，副教授。研究方向：控制与优化。E-mail：。

Design Method of Dual-frequency Compensation Network for Wireless Power Transfer System
Jie WU1 , Zengguang YUE2 , Fei KONG2 , Xu LI2 , Yafei CHEN2 , Mingjie WANG2
Affiliations
  • 1.School of Electrical Engineering, Zhejiang University of Water Resources and Electric Power, Hangzhou 310018, China
  • 2.School of Electrical and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China
出版时间: 2026-09-30 doi: 10.13234/j.issn.2095-2805.2026.9.263
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摘要
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单逆变器单发射线圈多频多负载感应谐振式无线电能传输WPT（wireless power transfer）系统能够同时支持多个不同频率的负载，结构简单，兼容性好，具有巨大的应用潜力。该系统补偿网络所需无源元件数量多，系统阶数高，且系统约束条件复杂，大功率高效率补偿网络的参数设计面临巨大挑战。以双频LCC-S结构为例，通过分析将设计变量从7个减少至1个，提出一种基于差分进化算法和拉格朗日乘数法的双频补偿网络设计方法，并考虑了电感寄生电阻的影响，兼顾了系统大功率和高效率传输。最后，按照该方法得出的设计方案搭建实验样机。实验结果表明，样机可不依赖于控制方法实现负载独立和恒压输出特性，系统输出功率达165.83 W，总效率达94.05%。

无线电能传输  /  双频  /  补偿网络  /  参数设计  /  差分进化

The single inverter single transmitter multi-frequency and multi-receiver inductive wireless power transfer (WPT) system can simultaneously support multiple loads of different frequencies, with a simple structure and good compatibility, and has great potential for application. Its compensation network requires a large number of passive components, forming a high-order system with complex constraints, and thus the parameter design of high-power and high-efficiency compensation network faces enormous challenges. The dual-frequency LCC-S structure is taken as an example, and the design variables are reduced from seven to only one through analysis. In order to achieve high-power and high-efficiency transmission of the system, a dual-frequency compensation network design method based on differential evolution algorithm and Lagrange multiplier method is proposed, taking into account the influence of inductance parasitic resistances. Finally, an experimental prototype was constructed based on the design scheme obtained by this method. Experimental results demonstrate that the prototype can achieve load independence and constant voltage characteristics without relying on control methods, with a system output power of 165.83 W and a total efficiency of 94.05%.

Wireless power transfer (WPT)  /  dual-frequency  /  compensation network  /  parameter design  /  differential evolution
武洁, 岳增光, 孔飞, 李旭, 陈亚斐, 王明杰. 无线电能传输系统双频补偿网络设计方法. 电源学报, 2026 , 24 (9) : 263 -274 . DOI: 10.13234/j.issn.2095-2805.2026.9.263
Jie WU, Zengguang YUE, Fei KONG, Xu LI, Yafei CHEN, Mingjie WANG. Design Method of Dual-frequency Compensation Network for Wireless Power Transfer System[J]. Journal of Power Supply, 2026 , 24 (9) : 263 -274 . DOI: 10.13234/j.issn.2095-2805.2026.9.263
基金
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  • 浙江水利水电学院资助项目(88106325092)
  • 河南省国际科技合作资助项目(242102521038)
  • 河南省科技攻关资助项目(242102320180; 242102221029)
  • 河南省优秀青年科学基金资助项目(242300421074)
文献
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参考文献 引证文献
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2026年第24卷第9期
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文章信息
doi: 10.13234/j.issn.2095-2805.2026.9.263
  • 接收时间：2024-11-05
  • 首发时间：2026-10-29
  • 出版时间：2026-09-30
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出版历史
  • 收稿日期：2024-11-05
  • 修回日期：2025-01-08
  • 录用日期：2025-02-05
基金
Zhejiang University of Water Resources and Electric Power(88106325092)
浙江水利水电学院资助项目(88106325092)
International Scientific and Technological Cooperation Project of Henan Province(242102521038)
河南省国际科技合作资助项目(242102521038)
Scientific and Technological Key Project of Henan Province(242102320180; 242102221029)
河南省科技攻关资助项目(242102320180; 242102221029)
Outstanding Youth Science Foundation of Henan Province(242300421074)
河南省优秀青年科学基金资助项目(242300421074)
作者信息
    1.浙江水利水电学院电气工程学院，杭州　310018
    2.郑州轻工业大学电气信息工程学院，郑州　450002

通讯作者:

武洁（1979—　），男，通信作者，博士，副教授。研究方向：无线电能传输，混合励磁电机。E-mail：。
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