Article(id=1322557157246092109, tenantId=1146029695717560320, journalId=1146031654075715584, issueId=1322557042389275039, articleNumber=null, orderNo=null, doi=10.13234/j.issn.2095-2805.2026.8.181, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1732636800000, receivedDateStr=2024-11-27, revisedDate=1734710400000, revisedDateStr=2024-12-21, acceptedDate=1736006400000, acceptedDateStr=2025-01-05, onlineDate=1793251798211, onlineDateStr=2026-10-29, pubDate=1788019200000, pubDateStr=2026-08-30, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1793251798211, onlineIssueDateStr=2026-10-29, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1793251798211, creator=13701087609, updateTime=1793251798211, 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=181, endPage=191, ext={EN=ArticleExt(id=1322557157443224398, articleId=1322557157246092109, tenantId=1146029695717560320, journalId=1146031654075715584, language=EN, title=Neutral-line Voltage Harmonic Suppression for Zhangbei Flexible HVDC Transmission System, columnId=1321491706692878600, journalTitle=Journal of Power Supply, columnName=Power Electronic Dominated Power Systems, runingTitle=null, highlight=null, articleAbstract=

The problem of neutral-line voltage harmonics in Zhangbei flexible HVDC transmission system results in the following effects. The capacitor in a neutral-line voltage transformer will generate harmonic current due to the influence of high-order harmonics in the system, which makes the capacitor device heat up seriously and fail to work accordingly. The switching of capacitors may cause harmonic amplification in the system, which may also affect the stable operation of other electrical equipment nearby and thus pose a major threat to the safety and normal operation of the power system. To solve this problem, first, a harmonic analysis model of an modular multilevel converter (MMC) is established, and the harmonic interaction between AC and DC in a multi-terminal flexible HVDC transmission system is analyzed in detail. Then, the research results of harmonic characteristics of a converter station are further applied to Zhangbei flexible HVDC transmission system, the characteristic harmonics of the neutral-line voltage of the system are obtained. Finally, a model of Zhangbei flexible HVDC transmission system is also built, and a control strategy of DC active damping is adopted to suppress resonance using the PSCAD simulation software, and it is verified that this strategy can effectively suppress harmonics of the neutral-line voltage.

, authors=Shuai GAO, Zhenyu JIANG, Fukuan PANG, Sixiang ZHAO, authorsList=Shuai GAO, Zhenyu JIANG, Fukuan PANG, Sixiang ZHAO, authorCompany=null, correspAuthors=Fukuan PANG, 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=1322557158240142161, articleId=1322557157246092109, tenantId=1146029695717560320, journalId=1146031654075715584, language=CN, title=张北柔性直流输电系统中性线电压谐波抑制, columnId=1321491706852262154, journalTitle=电源学报, columnName=电力电子化电力系统, runingTitle=null, highlight=null, articleAbstract=

张北柔性直流输电系统中性线电压谐波问题产生了以下影响：中性线电压互感器中的电容受到系统中高次谐波的影响产生谐波电流，使得电容装置发热严重进而损坏；电容的投切造成系统的谐波放大，对附近其他电气设备的稳定运行产生影响，对电力系统的安全和正常工作造成重大威胁。为了解决这个问题，首先建立了模块化多电平换流器MMC（modular multilevel converter）的谐波分析模型，并对多端柔性直流输电系统中交流和直流之间的谐波交互影响进行了深入分析；接着将对换流站谐波特性的研究结果应用于张北柔性直流输电系统，得到了系统中性线电压的特征谐波；最后搭建了张北柔性直流输电系统模型，在PSCAD仿真软件中采用直流有源阻尼抑制谐振的控制策略，验证了该控制策略能够有效抑制中性线电压的谐波。

, authors=高帅, 姜振宇, 庞富宽, 赵思翔, authorsList=高帅, 姜振宇, 庞富宽, 赵思翔, authorCompany=null, correspAuthors=庞富宽, authorNote=, correspAuthorsNote=, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=o1I1rsewQV+ILxQmrjU5bg==, magXml=dKBIKOvPlnC67AZkanlVIw==, pdfUrl=null, pdf=KZ4tfCA4xX3qsII7P5YyNw==, pdfFileSize=2281777, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=8slXFU+3MtApk0U/kLIo0Q==, mapNumber=null, fund=null)}, authors=[Author(id=1322557159032865623, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, orderNo=0, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=501549163@qq.com, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1322557159099974489, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, authorId=1322557159032865623, language=EN, stringName=Shuai GAO, firstName=Shuai, middleName=null, lastName=GAO, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=Metrology Center, State Grid Jibei Electric Power Co., Ltd., Beijing 100045, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1322557159175471962, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, authorId=1322557159032865623, language=CN, stringName=高帅, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=国网冀北电力有限公司计量中心，北京　100045, bio={"content":"

高帅（1987—　），男，硕士，高级工程师。研究方向：电能计量技术。E-mail：501549163@qq.com。

"}, bioImg=null, bioContent=

高帅（1987—　），男，硕士，高级工程师。研究方向：电能计量技术。E-mail：501549163@qq.com。

, aboutCorrespAuthor=null)}, companyList=[AuthorCompany(id=1322557158651183955, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, xref=null, ext=[AuthorCompanyExt(id=1322557158944785236, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, companyId=1322557158651183955, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=Metrology Center, State Grid Jibei Electric Power Co., Ltd., Beijing 100045, China), AuthorCompanyExt(id=1322557158961562453, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, companyId=1322557158651183955, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=国网冀北电力有限公司计量中心，北京　100045)])]), Author(id=1322557159452296028, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, orderNo=1, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=jzy134803@126.com, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1322557159540376414, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, authorId=1322557159452296028, language=EN, stringName=Zhenyu JIANG, firstName=Zhenyu, middleName=null, lastName=JIANG, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=Metrology Center, State Grid Jibei Electric Power Co., Ltd., Beijing 100045, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1322557159892697951, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, authorId=1322557159452296028, language=CN, stringName=姜振宇, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=国网冀北电力有限公司计量中心，北京　100045, bio={"content":"

姜振宇（1988—　），男，硕士，高级工程师。研究方向：电能计量技术。E-mail：jzy134803@126.com。

"}, bioImg=null, bioContent=

姜振宇（1988—　），男，硕士，高级工程师。研究方向：电能计量技术。E-mail：jzy134803@126.com。

, aboutCorrespAuthor=null)}, companyList=[AuthorCompany(id=1322557158651183955, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, xref=null, ext=[AuthorCompanyExt(id=1322557158944785236, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, companyId=1322557158651183955, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=Metrology Center, State Grid Jibei Electric Power Co., Ltd., Beijing 100045, China), AuthorCompanyExt(id=1322557158961562453, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, companyId=1322557158651183955, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=国网冀北电力有限公司计量中心，北京　100045)])]), Author(id=1322557160215659361, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, orderNo=2, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=821274548@qq.com, emailSecond=null, emailThird=null, correspondingAuthor=1, authorType=1, ext={EN=AuthorExt(id=1322557160651866979, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, authorId=1322557160215659361, language=EN, stringName=Fukuan PANG, firstName=Fukuan, middleName=null, lastName=PANG, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=Metrology Center, State Grid Jibei Electric Power Co., Ltd., Beijing 100045, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1322557161041937252, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, authorId=1322557160215659361, language=CN, stringName=庞富宽, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=国网冀北电力有限公司计量中心，北京　100045, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null)}, companyList=[AuthorCompany(id=1322557158651183955, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, xref=null, ext=[AuthorCompanyExt(id=1322557158944785236, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, companyId=1322557158651183955, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=Metrology Center, State Grid Jibei Electric Power Co., Ltd., Beijing 100045, China), AuthorCompanyExt(id=1322557158961562453, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, companyId=1322557158651183955, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=国网冀北电力有限公司计量中心，北京　100045)])]), Author(id=1322557161452979046, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, orderNo=3, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=zhaosx0518@126.com, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1322557161557836648, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, authorId=1322557161452979046, language=EN, stringName=Sixiang ZHAO, firstName=Sixiang, middleName=null, lastName=ZHAO, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=Metrology Center, State Grid Jibei Electric Power Co., Ltd., Beijing 100045, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1322557161910158185, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, authorId=1322557161452979046, language=CN, stringName=赵思翔, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=国网冀北电力有限公司计量中心，北京　100045, bio={"content":"

赵思翔（1989—　），男，硕士，工程师。研究方向：电能计量技术。E-mail：zhaosx0518@126.com。

"}, bioImg=null, bioContent=

赵思翔（1989—　），男，硕士，工程师。研究方向：电能计量技术。E-mail：zhaosx0518@126.com。

, aboutCorrespAuthor=null)}, companyList=[AuthorCompany(id=1322557158651183955, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, xref=null, ext=[AuthorCompanyExt(id=1322557158944785236, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, companyId=1322557158651183955, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=Metrology Center, State Grid Jibei Electric Power Co., Ltd., Beijing 100045, China), AuthorCompanyExt(id=1322557158961562453, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, companyId=1322557158651183955, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=国网冀北电力有限公司计量中心，北京　100045)])])], keywords=[Keyword(id=1322557162023404395, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, language=EN, orderNo=1, keyword=Flexible HVDC transmission), Keyword(id=1322557162354754412, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, language=EN, orderNo=2, keyword=neutral line), Keyword(id=1322557162719658861, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, language=EN, orderNo=3, keyword=harmonic suppression), Keyword(id=1322557162799350638, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, language=CN, orderNo=1, keyword=柔性直流输电), Keyword(id=1322557162879042415, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, language=CN, orderNo=2, keyword=中性线), Keyword(id=1322557163155866480, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, language=CN, orderNo=3, keyword=谐波抑制)], refs=[Reference(id=1322557164036670323, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[1], rfOrder=0, authorNames=null, journalName=null, refType=null, unstructuredReference=李子欣, 徐飞, 赵成勇, 等. 面向高压直流输电的电流源型主动换相换流器研究综述[J]. 中国电机工程学报, 2021, 41(3): 1053-1068. Li Zixin, Xu Fei, Zhao Chengyong, et al. Research review of current-source type actively commutated converter for high voltage direct current transmission systems[J]. Proceedings of the CSEE, 2021, 41(3): 1053-1068. (in Chinese), articleTitle=null, refAbstract=null), Reference(id=1322557164091196276, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[2], rfOrder=1, authorNames=null, journalName=null, refType=null, unstructuredReference=杨树德, 李旺, 张新闻, 等. 一种提高变流器弱电网适应能力的虚拟阻抗控制策略[J]. 电源学报, 2024, 22(2): 158-166. Yang Shude, Li Wang, Zhang Xinxin, et al. Virtual impedance control strategy for improving the adaptability of converter to weak grid[J]. Journal of Power Supply, 2024, 22(2): 158-166. (in Chinese), articleTitle=null, refAbstract=null), Reference(id=1322557164430934901, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[3], rfOrder=2, authorNames=null, journalName=null, refType=null, unstructuredReference=付华, 张辉. 基于故障电流特征的多端柔性直流电网故障识别[J]. 电源学报, 2025, 23(5): 174-184. Fu Hua, Zhang Hui. Fault identification of multi-terminal MMC-HVDC grid based on fault current characteristics[J]. Journal of Power Supply, 2025, 23(5): 174-184. (in Chinese), articleTitle=null, refAbstract=null), Reference(id=1322557164502238070, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[4], rfOrder=3, authorNames=null, journalName=null, refType=null, unstructuredReference=Liu Yiqi, Liu Jiayi, Wang Tianhao, et al. High-frequency resonance suppression based on cross-coupled filter and improved passive damper for MMC-HVDC system[J]. IEEE Transactions on Power Delivery, 2024, 39(3): 1952-1962., articleTitle=null, refAbstract=null), Reference(id=1322557164829393783, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[5], rfOrder=4, authorNames=null, journalName=null, refType=null, unstructuredReference=Hou Yanqi, Liu Congru, Wang Yu, et al. Mechanism analysis of additional damping control strategies for the high-frequency resonance of MMC connected to AC grid[J]. CSEE Journal of Power and Energy Systems, 2023, 9(3): 1173-1181., articleTitle=null, refAbstract=null), Reference(id=1322557164921668472, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[6], rfOrder=5, authorNames=null, journalName=null, refType=null, unstructuredReference=Wei Nengqiao, Zhou Niancheng, Liao Jianquan, et al. A fault current limiter self-adapting activation strategy for flexible HVDC system based on fault severity assessment[J]. IEEE Transactions on Industrial Electronics, 2023, 70(11): 11334-11345., articleTitle=null, refAbstract=null), Reference(id=1322557165232046969, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[7], rfOrder=6, authorNames=null, journalName=null, refType=null, unstructuredReference=Wang Can, Xu Jiexiong, Pan Xuewei, et al. Impedance modeling and analysis of series-connected modular multi-level converter (MMC) and its comparative study with conventional MMC for HVDC applications[J]. IEEE Transactions on Power Delivery, 2022, 37(4): 3270-3281., articleTitle=null, refAbstract=null), Reference(id=1322557165315933050, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[8], rfOrder=7, authorNames=null, journalName=null, refType=null, unstructuredReference=王翰文, 曾成碧, 苗虹. 弱电网下LCL逆变器的有源阻尼控制策略研究[J]. 电源学报, 2024, 22(2): 167-174. Wang Hanwen, Zeng Chengbi, Miao Hong. Research on active damping control strategy for LCL inverter in weak grid[J]. Journal of Power Supply, 2024, 22(2): 167-174. (in Chinese), articleTitle=null, refAbstract=null), Reference(id=1322557165412402043, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[9], rfOrder=8, authorNames=null, journalName=null, refType=null, unstructuredReference=马秀达, 文继锋, 严伟, 等. 张北柔性直流工程电压单环控制策略应用分析[J]. 电力系统自动化, 2025, 49(2): 198-207. Ma Xiuda, Wen Jifeng, Yan Wei, et al. Application analysis of single-loop voltage control strategy in Zhangbei flexible DC project of China[J]. Automation of Electric Power Systems, 2025, 49(2): 198-207. (in Chinese), articleTitle=null, refAbstract=null), Reference(id=1322557165504676732, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[10], rfOrder=9, authorNames=null, journalName=null, refType=null, unstructuredReference=Chen Yin, Xu Lie, Egea-Àlvarez A, et al. Accurate and general small-signal impedance model of LCC-HVDC in sequence frame[J]. IEEE Transactions on Power Delivery, 2023, 38(6): 4226-4241., articleTitle=null, refAbstract=null), Reference(id=1322557165718586237, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[11], rfOrder=10, authorNames=null, journalName=null, refType=null, unstructuredReference=杨成顺, 张晨曦, 许德智, 等. 基于无冗余子模块MMC变换器的固定计算次数模型预测容错控制策略[J]. 电源学报, 2025, 23(8): 82-92. Yang Chengshun, Zhang Chenxi, Xu Dezhi, et al. Predictive fault-tolerant control strategy based on model with fixed number of calculations for MMC converter without redundant submodules[J]. Journal of Power Supply, 2025, 23(8): 82-92. (in Chinese), articleTitle=null, refAbstract=null), Reference(id=1322557165785695102, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[12], rfOrder=11, authorNames=null, journalName=null, refType=null, unstructuredReference=Li Tao, Li Yongli, Zhu Yuchen. Research on the voltage supporting capability of multi-VSC-HVDC subsystems operation strategy to receiving-end LCC-HVDC network in weak AC grid[J]. CES Transactions on Electrical Machines and Systems, 2023, 7(1): 11-20., articleTitle=null, refAbstract=null), Reference(id=1322557165852803967, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[13], rfOrder=12, authorNames=null, journalName=null, refType=null, unstructuredReference=Rehman B, Liu Chongru, Li Huan, et al. Analysis on local and concurrent commutation failure of multi-infeed HVDC considering inter-converter interaction[J]. Journal of Modern Power Systems and Clean Energy, 2022, 10(4): 1050-1059., articleTitle=null, refAbstract=null), Reference(id=1322557165911524224, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[14], rfOrder=13, authorNames=null, journalName=null, refType=null, unstructuredReference=尹睿, 孙媛媛, 王姗姗, 等. 直驱风机经柔直送出系统多控制环节间交互机理研究[J]. 中国电机工程学报, 2022, 42(10): 3627-3641. Yin Rui, Sun Yuanyuan, Wang Shanshan, et al. The interaction mechanism analysis among the different control loops of the direct-drive wind turbine connected VSC-HVDC systems[J]. Proceedings of the CSEE, 2022, 42(10): 3627-3641. (in Chinese), articleTitle=null, refAbstract=null), Reference(id=1322557165982827393, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[15], rfOrder=14, authorNames=null, journalName=null, refType=null, unstructuredReference=文翌铖, 陈亦文, 童筱涵, 等. 基于改进有限状态多步模型预测控制的MMC-APF技术研究[J]. 电源学报, 2024, 22(S1): 186-196. Wen Yicheng, Chen Yiwen, Tong Xiaohan, et al. Research on MMC-APF technology based on improved finite-state multistep model predictive control[J]. Journal of Power Supply, 2024, 22(S1): 186-196. (in Chinese), articleTitle=null, refAbstract=null), Reference(id=1322557166041547650, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[16], rfOrder=15, authorNames=null, journalName=null, refType=null, unstructuredReference=季宇, 王东旭, 吴红斌, 等. 提高直流微电网稳定性的有源阻尼方法[J]. 电工技术学报, 2018, 33(2): 370-379. Ji Yu, Wang Dongxu, Wu Hongbin, et al. The active damping method for improving the stability of DC microgrid[J]. Transactions of China Electrotechnical Society, 2018, 33(2): 370-379. (in Chinese), articleTitle=null, refAbstract=null), Reference(id=1322557166104462211, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[17], rfOrder=16, authorNames=null, journalName=null, refType=null, unstructuredReference=许津铭, 谢少军, 肖华锋. LCL滤波器有源阻尼控制机制研究[J]. 中国电机工程学报, 2012, 32(9): 27-33. Xu Jinming, Xie Shaojun, Xiao Huafeng. Research on control mechanism of active damping for LCL filters[J]. Proceedings of the CSEE, 2012, 32(9): 27-33. (in Chinese), articleTitle=null, refAbstract=null)], funds=[Fund(id=1322557163604657009, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, awardId=520185240001, language=EN, fundingSource=Science and Technology Project of State Grid Jibei Electric Power Co., Ltd.(520185240001), fundOrder=null, country=null), Fund(id=1322557163688543090, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, awardId=520185240001, language=CN, fundingSource=国网冀北电力有限公司科技资助项目(520185240001), fundOrder=null, country=null)], companyList=[AuthorCompany(id=1322557158651183955, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, xref=null, ext=[AuthorCompanyExt(id=1322557158944785236, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, companyId=1322557158651183955, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=Metrology Center, State Grid Jibei Electric Power Co., Ltd., Beijing 100045, China), AuthorCompanyExt(id=1322557158961562453, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322557157246092109, companyId=1322557158651183955, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=国网冀北电力有限公司计量中心，北京　100045)])], figs=null, attaches=null, journal=Journal(id=1046111678587809797, delFlag=0, nameCn=电源学报, nameEn=Journal of Power Supply, nameHistory1=null, nameHistory2=null, issn=2095-2805, eissn=, cn=12-1420/TM, coden=null, periodic=1, language=CN, oaType=是, ccby=null, superviseOffice=null, ownerOffice=null, pubOffice=null, editorOffice=null, officeType=null, aims=null, clcCode=null, officeProv=null, officeCity=null, officeAddr=null, officeZip=null, officeEmail=null, officePhone=null, editDirector=null, officeDirector=null, officeDirectorPhone=null, officeStaffNum=null, officeEmpNum=null, coverPicUrl=8IbGg9owoDeiHywqdCQ4Qw==, journalPrice=null, startedYear=null, abbrevIsoEn=J Power Supp, journalRemark=null, publicationField=null, createdTime=null, updatedTime=1784612834246, createdBy=null, updatedBy=18614031015, firstLetterCn=D, firstLetterEn=D, subjectCode=Engineering, subjectName=null, subjectCodeEn=Engineering, subjectNameEn=null, picCn=8IbGg9owoDeiHywqdCQ4Qw==, picEn=yHt2vwjzkDgqh+JDCfJKoQ==, jcr=null, cjcr=null, exts=[JournalExt(id=1283818675400590042, language=CN, name=电源学报, nameHistory1=null, nameHistory2=null, managedBy=中国科学技术协会, sponsoredBy=中国电源学会、国家海洋技术中心, publishedBy=《电源学报》编辑部, editorOffice=, officeProv=null, officeCity=null, officeAddr=, officeZip=, editDirector=, officeDirector=null, officePhone=null, coverPicUrl=null, journalRemark=, submitArticleUrl=null, websiteUrl=http://www.jops.cn/EN/home, createdTime=1784015824413, updatedTime=1784015824413, createdBy=13041195026, updatedBy=13041195026, submissionGuidelinesUrl=http://www.jops.cn/CN/column/column7.shtml, submissionAuthorUrl=https://mc03.manuscriptcentral.com/jops, submissionEditorUrl=https://mc03.manuscriptcentral.com/jops, submissionReviewUrl=https://mc03.manuscriptcentral.com/jops, submissionCeEditorUrl=https://mc03.manuscriptcentral.com/jops, submissionAeEditorUrl=https://mc03.manuscriptcentral.com/jops, option={"copyright":""}), JournalExt(id=1283818675471893211, language=EN, name=Journal of Power Supply, nameHistory1=null, nameHistory2=null, managedBy=, sponsoredBy=, publishedBy=, editorOffice=, officeProv=null, officeCity=null, officeAddr=, officeZip=, editDirector=, officeDirector=null, officePhone=null, coverPicUrl=null, journalRemark=, submitArticleUrl=null, websiteUrl=http://www.jops.cn/CN/home, createdTime=1784015824430, updatedTime=1784015824430, createdBy=13041195026, updatedBy=13041195026, submissionGuidelinesUrl=http://www.jops.cn/EN/column/column7.shtml, submissionAuthorUrl=https://mc03.manuscriptcentral.com/jops, submissionEditorUrl=https://mc03.manuscriptcentral.com/jops, submissionReviewUrl=https://mc03.manuscriptcentral.com/jops, submissionCeEditorUrl=https://mc03.manuscriptcentral.com/jops, submissionAeEditorUrl=https://mc03.manuscriptcentral.com/jops, option={"copyright":""}), JournalExt(id=1283818675400590042, language=CN, name=电源学报, nameHistory1=null, nameHistory2=null, managedBy=中国科学技术协会, sponsoredBy=中国电源学会、国家海洋技术中心, publishedBy=《电源学报》编辑部, editorOffice=, officeProv=null, officeCity=null, officeAddr=, officeZip=, editDirector=, officeDirector=null, officePhone=null, coverPicUrl=null, journalRemark=, submitArticleUrl=null, websiteUrl=http://www.jops.cn/EN/home, createdTime=1784015824413, updatedTime=1784015824413, createdBy=13041195026, updatedBy=13041195026, submissionGuidelinesUrl=http://www.jops.cn/CN/column/column7.shtml, submissionAuthorUrl=https://mc03.manuscriptcentral.com/jops, submissionEditorUrl=https://mc03.manuscriptcentral.com/jops, submissionReviewUrl=https://mc03.manuscriptcentral.com/jops, submissionCeEditorUrl=https://mc03.manuscriptcentral.com/jops, submissionAeEditorUrl=https://mc03.manuscriptcentral.com/jops, option={"copyright":""}), JournalExt(id=1283818675471893211, language=EN, name=Journal of Power Supply, nameHistory1=null, nameHistory2=null, managedBy=, sponsoredBy=, publishedBy=, editorOffice=, officeProv=null, officeCity=null, officeAddr=, officeZip=, editDirector=, officeDirector=null, officePhone=null, coverPicUrl=null, journalRemark=, submitArticleUrl=null, websiteUrl=http://www.jops.cn/CN/home, createdTime=1784015824430, updatedTime=1784015824430, createdBy=13041195026, updatedBy=13041195026, submissionGuidelinesUrl=http://www.jops.cn/EN/column/column7.shtml, submissionAuthorUrl=https://mc03.manuscriptcentral.com/jops, submissionEditorUrl=https://mc03.manuscriptcentral.com/jops, submissionReviewUrl=https://mc03.manuscriptcentral.com/jops, submissionCeEditorUrl=https://mc03.manuscriptcentral.com/jops, submissionAeEditorUrl=https://mc03.manuscriptcentral.com/jops, option={"copyright":""})], databaseList=null, tenantJournalId=1146031654075715584, websiteList=[Website(id=1146832214672683008, webName=null, webTitle=null, webDomain=null, webCopyrigh=null, webIpcNo=null, seoTitle=null, seoKeywords=null, seoDescription=null, tenantJournalId=null, journalId=1146031654075715584, journalNameCn=null, journalNameEn=null, grayFlag=null, tenantId=1146029695717560320, platformId=null, journalGroupId=null, journalGroupNameCn=null, journalGroupNameEn=null, type=1, domain=https://castjournals.cast.org.cn/joweb/dyxb/EN, language=EN, createTime=1751355707101, createBy=18614031015, updateTime=1753435268747, updateBy=18614031015, name=电源学报-英文站点, tplId=1146101810881728533, title=电源学报, delFlag=0, indexPage=/home, props=[WebsiteProps(id=1155559379819679852, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146832214672683008, code=articleTextType, value=kx, createTime=1753436425404, updateTime=1753436425404, creator=18614031015, updator=18614031015), WebsiteProps(id=1155559379798708329, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146832214672683008, code=banner, value=null, createTime=1753436425399, updateTime=1753436425399, creator=18614031015, updator=18614031015), WebsiteProps(id=1155559379781931112, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146832214672683008, code=logo, value=https://castjournals.cast.org.cn/joweb/kjdb/CN/file/pic?fileId=efYTu4aDDzS8GgTA1MjEKw==, createTime=1753436425396, updateTime=1753436425396, creator=18614031015, updator=18614031015), WebsiteProps(id=1155559379811291243, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146832214672683008, code=picServerUrl, value=https://castjournals.cast.org.cn/joweb/kjdb/CN/file/pic, createTime=1753436425402, updateTime=1753436425402, creator=18614031015, updator=18614031015), WebsiteProps(id=1155559379802902634, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146832214672683008, code=staticResourcePath, value=https://castjournals.cast.org.cn/joweb/cast_kjdb_cn_619/, createTime=1753436425400, updateTime=1753436425400, creator=18614031015, updator=18614031015)]), Website(id=1148243202240405915, webName=null, webTitle=null, webDomain=null, webCopyrigh=null, webIpcNo=null, seoTitle=null, seoKeywords=null, seoDescription=null, tenantJournalId=null, journalId=1146031654075715584, journalNameCn=null, journalNameEn=null, grayFlag=null, tenantId=1146029695717560320, platformId=null, journalGroupId=null, journalGroupNameCn=null, journalGroupNameEn=null, type=1, domain=https://castjournals.cast.org.cn/joweb/dyxb/CN, language=CN, createTime=1751692112741, createBy=18614031015, updateTime=1753435242839, updateBy=18614031015, name=电源学报-中文站点, tplId=1146099689490845704, title=电源学报, delFlag=0, indexPage=/home, props=[WebsiteProps(id=1148618015060553758, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1148243202240405915, code=articleTextType, value=kx, createTime=1751781475081, updateTime=1751781475081, creator=18614031015, updator=18614031015), WebsiteProps(id=1148618015035387931, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1148243202240405915, code=banner, value=null, createTime=1751781475075, updateTime=1751781475075, creator=18614031015, updator=18614031015), WebsiteProps(id=1148618015022805018, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1148243202240405915, code=logo, value=https://castjournals.cast.org.cn/joweb/kjdb/CN/file/pic?fileId=efYTu4aDDzS8GgTA1MjEKw==, createTime=1751781475072, updateTime=1751781475072, creator=18614031015, updator=18614031015), WebsiteProps(id=1148618015052165149, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1148243202240405915, code=picServerUrl, value=https://castjournals.cast.org.cn/joweb/kjdb/CN/file/pic, createTime=1751781475079, updateTime=1751781475079, creator=18614031015, updator=18614031015), WebsiteProps(id=1148618015043776540, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1148243202240405915, code=staticResourcePath, value=https://castjournals.cast.org.cn/joweb/cast_kjdb_cn_619/, createTime=1751781475077, updateTime=1751781475077, creator=18614031015, updator=18614031015)])], journalTitle=电源学报, weixinUrl=null, journalUrl=http://www.jops.cn/CN/home, iacademicId=null, status=1, seqNo=null, journalTitleEn=Journal of Power Supply, journalPhotoCn=8IbGg9owoDeiHywqdCQ4Qw==, journalPhotoEn=yHt2vwjzkDgqh+JDCfJKoQ==, journalFirstLetter=D, journalRecommend=null, journalNew=null, journalCollection=null, jcrJf=null, cjcrJf=null, jcrJfStr=null, cjcrJfStr=null, submissionFirstDecision=null, sciSubjectClassification=null, casSubjectClassification=null, citeScore=null, totalCitationFrequency=null, icpCode=null, psCode=null, advertisingLicenseCode=null, copyrightInformation=null, country=null, option=, provinceCode=null, provinceName=null, collectFlag=false, interPubPlatform=, interPubPlatformUrl=null), detailUrlCn=https://castjournals.cast.org.cn/joweb/dyxb/CN/10.13234/j.issn.2095-2805.2026.8.181, detailUrlEn=https://castjournals.cast.org.cn/joweb/dyxb/EN/10.13234/j.issn.2095-2805.2026.8.181, pdfUrlCn=https://castjournals.cast.org.cn/joweb/dyxb/CN/PDF/10.13234/j.issn.2095-2805.2026.8.181, pdfUrlEn=https://castjournals.cast.org.cn/joweb/dyxb/EN/PDF/10.13234/j.issn.2095-2805.2026.8.181, aliStartDate=0, aliEndDate=0, collectionFlag=false, citedCount=null, citedUrl=null, previewStatus=0, delFlag=0, hasFullText=0, orderTime=1788019200000, fullTextJson=null, articleText=null, reference=null)