Article(id=1322557071879426616, tenantId=1146029695717560320, journalId=1146031654075715584, issueId=1322557042389275039, articleNumber=null, orderNo=null, doi=10.13234/j.issn.2095-2805.2026.8.45, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1727366400000, receivedDateStr=2024-09-27, revisedDate=1733068800000, revisedDateStr=2024-12-02, acceptedDate=1734105600000, acceptedDateStr=2024-12-14, onlineDate=1793251777857, onlineDateStr=2026-10-29, pubDate=1788019200000, pubDateStr=2026-08-30, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1793251777857, onlineIssueDateStr=2026-10-29, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1793251777857, creator=13701087609, updateTime=1793251777857, updator=13701087609, issue=Issue{id=1322557042389275039, tenantId=1146029695717560320, journalId=1146031654075715584, year='2026', volume='24', issue='8', pageStart='1', pageEnd='354', issueExtLink='null', onlineDate='null', pubDate='1788019200000', pubDateStr='2026-08-30', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1793251770826, creator='13701087609', updateTime=1793251770826, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext=null, issueFiles=null, downloadFileDto=null}, startPage=45, endPage=53, ext={EN=ArticleExt(id=1322557072282079801, articleId=1322557071879426616, tenantId=1146029695717560320, journalId=1146031654075715584, language=EN, title=MMC-HVDC Circulating Current Suppression Strategy Based on Virtual Impedance and QPR Control, columnId=1321491632424338129, journalTitle=Journal of Power Supply, columnName=Power Converter Modeling and Control, runingTitle=null, highlight=null, articleAbstract=

The circulating current between the sub-module bridge arms of a modular multilevel converter-high voltage direct current (MMC-HVDC) transmission system distorts the bridge arm current, thus affecting the balance of capacitor voltage. According to the circuit theorem and working characteristics of a modular multilevel converter (MMC), the problem of circulating current in the second harmonic component and the multi-frequency even-order harmonic component of the MMC is analyzed. The extraction and suppression of the second harmonic component are realized by using a notch filter and a quasi-proportional resonant (QPR) controller. The virtual impedance is added to suppress the multi-frequency even-order harmonic component of circulating current in the MMC. The above suppression strategy simultaneously suppresses the second harmonic component and multi-frequency even-order harmonic component, and the effect of circulating current suppression is obvious, indicating that it is suitable for the circulating current suppression control of MMC-HVDC. Simulation results show that the QPR control strategy with virtual impedance can effectively suppress fluctuations in the MMC circulating current waveform, MMC bridge arm current waveform and MMC-HVDC AC-side current.

, authors=Junrui WANG, Shuai DOU, Ming WANG, authorsList=Junrui WANG, Shuai DOU, Ming WANG, authorCompany=null, correspAuthors=Junrui WANG, 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=1322557073984967226, articleId=1322557071879426616, tenantId=1146029695717560320, journalId=1146031654075715584, language=CN, title=虚拟阻抗+QPR控制的MMC-HVDC环流抑制策略, columnId=1321491632592110291, journalTitle=电源学报, columnName=电力电子变换器建模与控制, runingTitle=null, highlight=null, articleAbstract=

基于模块化多电平换流器的柔性直流MMC-HVDC（modular multilevel converter-high voltage direct current）输电系统子模块桥臂间环流使桥臂电流发生畸变，影响电容电压的平衡。根据模块化多电平换流器MMC（modular multilevel converter）的电路定理及工作特点，分析出MMC存在二倍频谐波分量和高倍频偶次谐波分量的环流问题。利用陷波器与准比例谐振QPR（quasi-proportional resonant）控制器配合实现对二倍频谐波分量的提取和抑制，并加入虚拟阻抗抑制MMC环流中的高倍频偶次谐波分量。该策略同时抑制了二倍频谐波分量和高倍频偶次谐波分量，环流抑制效果明显，适用于MMC-HVDC的环流抑制控制。仿真结果表明，加入虚拟阻抗的QPR控制策略能够有效抑制MMC环流波形、MMC桥臂电流波形和MMC-HVDC交流侧电流的波动幅值。

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豆帅（1999—　），男，中国电源学会学生会员，硕士研究生。研究方向：新能源与电力电子技术。E-mail：d476305310@163.com。

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豆帅（1999—　），男，中国电源学会学生会员，硕士研究生。研究方向：新能源与电力电子技术。E-mail：d476305310@163.com。

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王铭（1999—　），女，硕士研究生。研究方向：新能源监测。E-mail：wm134853@163.com。

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