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Article(id=1321485260307682185, tenantId=1146029695717560320, journalId=1146031654075715584, issueId=1321485129009189764, articleNumber=null, orderNo=null, doi=10.13234/j.issn.2095-2805.2025.4.151, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1717257600000, receivedDateStr=2024-06-02, revisedDate=1725120000000, revisedDateStr=2024-09-01, acceptedDate=1726416000000, acceptedDateStr=2024-09-16, onlineDate=1792996238065, onlineDateStr=2026-10-26, pubDate=1753804800000, pubDateStr=2025-07-30, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1792996238065, onlineIssueDateStr=2026-10-26, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1792996238065, creator=13701087609, updateTime=1792996238065, updator=13701087609, issue=Issue{id=1321485129009189764, tenantId=1146029695717560320, journalId=1146031654075715584, year='2025', volume='23', issue='4', pageStart='1', pageEnd='368', issueExtLink='null', onlineDate='null', pubDate='1753804800000', pubDateStr='2025-07-30', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1792996206762, creator='13701087609', updateTime=1792996850840, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1321487830518444549, tenantId=1146029695717560320, journalId=1146031654075715584, issueId=1321485129009189764, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1321487830518444550, tenantId=1146029695717560320, journalId=1146031654075715584, issueId=1321485129009189764, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=151, endPage=162, ext={EN=ArticleExt(id=1321485261163320202, articleId=1321485260307682185, tenantId=1146029695717560320, journalId=1146031654075715584, language=EN, title=Sequential Impedance Modeling and Verification for Droop-controlled Inverters, columnId=1152281492550987902, journalTitle=Journal of Power Supply, columnName=Renewable Energy System, runingTitle=null, highlight=null, articleAbstract=

With the large-scale development and utilization of renewable energy sources such as photovoltaics and wind power, inverters based on droop control are widely used in distributed generation systems and microgrids. Sequential impedance modeling is one of the important methods to assess the stability of a multi-inverter parallel system and optimize the control parameters. However, there is currently limited research on the sequential impedance modeling of droop-controlled inverters. Therefore, a detailed investigation was carried out. First, the steady-state operating point of a droop-controlled inverter was determined, and the inverter response was analyzed by introducing positive- and negative-sequence small signal disturbances. Second, the sequential impedance model was derived from the inverter response to characterize the inverter’s impedance properties. Subsequently, the accuracy of the sequential impedance model was verified through PSCAD simulations. Finally, the effects of key parameters such as droop coefficients and the cutoff frequency of a low-pass filter in the power calculation link on the inverter output impedance were analyzed and verified through experiments. Results demonstrate that the proposed sequential impedance model has a good performance in analyzing the droop control strategies, providing valuable insights for further optimization and practical implementation of the strategies.

, authors=Baojin LIU1, 2, Chunchen LI1, Jiapeng LIN1, Hui XU1, Rui YU1, Jinjun LIU3, authorsList=Baojin LIU, Chunchen LI, Jiapeng LIN, Hui XU, Rui YU, Jinjun LIU, authorCompany=null, correspAuthors=Baojin LIU, 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=1321485261578556299, articleId=1321485260307682185, tenantId=1146029695717560320, journalId=1146031654075715584, language=CN, title=下垂控制逆变器的序阻抗建模分析及验证, columnId=1149829992055595012, journalTitle=电源学报, columnName=新能源系统, runingTitle=null, highlight=null, articleAbstract=

随着光伏、风电等可再生能源的大规模开发和利用，基于下垂控制的逆变器也被广泛应用于分布式发电系统和微电网中。序阻抗建模是评估多逆变器并联系统稳定性及优化控制参数的重要手段之一，然而目前对下垂控制逆变器序阻抗建模的相关研究较少，故对其进行详细研究。首先确定下垂控制逆变器的稳态工作点，通过加入正负序小信号扰动，分析逆变器响应；其次，通过逆变器响应提取序阻抗模型描述逆变器阻抗特性；之后，通过PSCAD仿真验证序阻抗模型的准确性；最后，分析下垂系数、功率计算环节低通滤波器截止频率等关键参数对逆变器输出阻抗的影响，并通过实验进行验证。实验证明，所提序阻抗模型在下垂控制策略分析中具有较好的效果，为下垂控制策略的进一步优化与实际应用提供了重要参考。

, authors=刘宝谨中国电源学会高级会员1, 2, 李春晨1, 林佳鹏1, 许晖1, 于瑞1, 刘进军中国电源学会会士3, authorsList=刘宝谨中国电源学会高级会员, 李春晨, 林佳鹏, 许晖, 于瑞, 刘进军中国电源学会会士, authorCompany=null, correspAuthors=刘宝谨中国电源学会高级会员, authorNote=

李春晨（2003—　），男，本科。研究方向：构网型逆变器控制。E-mail：。

林佳鹏（2003—　），男，本科。研究方向：构网型逆变器控制。E-mail：。

许晖（2003—　），男，本科。研究方向：构网型逆变器控制。E-mail：。

于瑞（2003—　），女，本科。研究方向：构网型逆变器控制。E-mail：。

刘进军（1970—　），男，中国电源学会会士，博士，教授。研究方向：含新能源和分布式发电的微网及未来电网电力电子变流器及控制。E-mail：。

, correspAuthorsNote=
刘宝谨（1992—　），男，中国电源学会高级会员，通信作者，博士，副教授。研究方向：多逆变器并联系统的协调控制技术。E-mail：。
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李春晨（2003—　），男，本科。研究方向：构网型逆变器控制。E-mail：。

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李春晨（2003—　），男，本科。研究方向：构网型逆变器控制。E-mail：。

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林佳鹏（2003—　），男，本科。研究方向：构网型逆变器控制。E-mail：。

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林佳鹏（2003—　），男，本科。研究方向：构网型逆变器控制。E-mail：。

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许晖（2003—　），男，本科。研究方向：构网型逆变器控制。E-mail：。

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许晖（2003—　），男，本科。研究方向：构网型逆变器控制。E-mail：。

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于瑞（2003—　），女，本科。研究方向：构网型逆变器控制。E-mail：。

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于瑞（2003—　），女，本科。研究方向：构网型逆变器控制。E-mail：。

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刘进军（1970—　），男，中国电源学会会士，博士，教授。研究方向：含新能源和分布式发电的微网及未来电网电力电子变流器及控制。E-mail：。

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刘进军（1970—　），男，中国电源学会会士，博士，教授。研究方向：含新能源和分布式发电的微网及未来电网电力电子变流器及控制。E-mail：。

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下垂控制逆变器的序阻抗建模分析及验证
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刘宝谨中国电源学会高级会员 1, 2 , 李春晨 1 , 林佳鹏 1 , 许晖 1 , 于瑞 1 , 刘进军中国电源学会会士 3
电源学报 | 新能源系统 2025,23(4): 151-162
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电源学报 |新能源系统 2025 , 23 (4) : 151 -162
下垂控制逆变器的序阻抗建模分析及验证
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李春晨（2003—　），男，本科。研究方向：构网型逆变器控制。E-mail：。

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林佳鹏（2003—　），男，本科。研究方向：构网型逆变器控制。E-mail：。

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许晖（2003—　），男，本科。研究方向：构网型逆变器控制。E-mail：。

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于瑞（2003—　），女，本科。研究方向：构网型逆变器控制。E-mail：。

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刘进军（1970—　），男，中国电源学会会士，博士，教授。研究方向：含新能源和分布式发电的微网及未来电网电力电子变流器及控制。E-mail：。

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刘进军（1970—　），男，中国电源学会会士，博士，教授。研究方向：含新能源和分布式发电的微网及未来电网电力电子变流器及控制。E-mail：。

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刘宝谨中国电源学会高级会员1, 2 , 李春晨1 , 林佳鹏1 , 许晖1 , 于瑞1 , 刘进军中国电源学会会士3
作者信息
  • 1.福州大学电气工程与自动化学院，福州　350108
  • 2.科华数据股份有限公司，厦门　361006
  • 3.西安交通大学电气工程学院，西安　710049
通讯作者:
刘宝谨（1992—　），男，中国电源学会高级会员，通信作者，博士，副教授。研究方向：多逆变器并联系统的协调控制技术。E-mail：。
作者简介:

李春晨（2003—　），男，本科。研究方向：构网型逆变器控制。E-mail：。

林佳鹏（2003—　），男，本科。研究方向：构网型逆变器控制。E-mail：。

许晖（2003—　），男，本科。研究方向：构网型逆变器控制。E-mail：。

于瑞（2003—　），女，本科。研究方向：构网型逆变器控制。E-mail：。

刘进军（1970—　），男，中国电源学会会士，博士，教授。研究方向：含新能源和分布式发电的微网及未来电网电力电子变流器及控制。E-mail：。

Sequential Impedance Modeling and Verification for Droop-controlled Inverters
Baojin LIU Senior Member, CPSS1, 2 , Chunchen LI1 , Jiapeng LIN1 , Hui XU1 , Rui YU1 , Jinjun LIU Fellow, CPSS3
Affiliations
  • 1.School of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350108, China
  • 2.Kehua Data Co., Ltd., Xiamen 361006, China
  • 3.School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, China
出版时间: 2025-07-30 doi: 10.13234/j.issn.2095-2805.2025.4.151
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随着光伏、风电等可再生能源的大规模开发和利用，基于下垂控制的逆变器也被广泛应用于分布式发电系统和微电网中。序阻抗建模是评估多逆变器并联系统稳定性及优化控制参数的重要手段之一，然而目前对下垂控制逆变器序阻抗建模的相关研究较少，故对其进行详细研究。首先确定下垂控制逆变器的稳态工作点，通过加入正负序小信号扰动，分析逆变器响应；其次，通过逆变器响应提取序阻抗模型描述逆变器阻抗特性；之后，通过PSCAD仿真验证序阻抗模型的准确性；最后，分析下垂系数、功率计算环节低通滤波器截止频率等关键参数对逆变器输出阻抗的影响，并通过实验进行验证。实验证明，所提序阻抗模型在下垂控制策略分析中具有较好的效果，为下垂控制策略的进一步优化与实际应用提供了重要参考。

分布式发电系统  /  下垂控制逆变器  /  序阻抗模型  /  谐波线性化

With the large-scale development and utilization of renewable energy sources such as photovoltaics and wind power, inverters based on droop control are widely used in distributed generation systems and microgrids. Sequential impedance modeling is one of the important methods to assess the stability of a multi-inverter parallel system and optimize the control parameters. However, there is currently limited research on the sequential impedance modeling of droop-controlled inverters. Therefore, a detailed investigation was carried out. First, the steady-state operating point of a droop-controlled inverter was determined, and the inverter response was analyzed by introducing positive- and negative-sequence small signal disturbances. Second, the sequential impedance model was derived from the inverter response to characterize the inverter’s impedance properties. Subsequently, the accuracy of the sequential impedance model was verified through PSCAD simulations. Finally, the effects of key parameters such as droop coefficients and the cutoff frequency of a low-pass filter in the power calculation link on the inverter output impedance were analyzed and verified through experiments. Results demonstrate that the proposed sequential impedance model has a good performance in analyzing the droop control strategies, providing valuable insights for further optimization and practical implementation of the strategies.

Distributed generation system  /  droop-controlled inverter  /  sequential impedance model  /  harmonic linearization
刘宝谨中国电源学会高级会员, 李春晨, 林佳鹏, 许晖, 于瑞, 刘进军中国电源学会会士. 下垂控制逆变器的序阻抗建模分析及验证. 电源学报, 2025 , 23 (4) : 151 -162 . DOI: 10.13234/j.issn.2095-2805.2025.4.151
Baojin LIU, Chunchen LI, Jiapeng LIN, Hui XU, Rui YU, Jinjun LIU. Sequential Impedance Modeling and Verification for Droop-controlled Inverters[J]. Journal of Power Supply, 2025 , 23 (4) : 151 -162 . DOI: 10.13234/j.issn.2095-2805.2025.4.151
基金
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  • 福建省自然科学基金资助项目(2022J05026)
  • 福建省中青年教师教育科研资助项目(JAT210002)
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参考文献 引证文献
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doi: 10.13234/j.issn.2095-2805.2025.4.151
  • 接收时间：2024-06-02
  • 首发时间：2026-10-26
  • 出版时间：2025-07-30
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  • 收稿日期：2024-06-02
  • 修回日期：2024-09-01
  • 录用日期：2024-09-16
基金
Natural Science Foundation of Fujian Province(2022J05026)
福建省自然科学基金资助项目(2022J05026)
Fujian Provincial Department of Education Young Teachers’ Education Research Project(JAT210002)
福建省中青年教师教育科研资助项目(JAT210002)
作者信息
    1.福州大学电气工程与自动化学院，福州　350108
    2.科华数据股份有限公司，厦门　361006
    3.西安交通大学电气工程学院，西安　710049

通讯作者:

刘宝谨（1992—　），男，中国电源学会高级会员，通信作者，博士，副教授。研究方向：多逆变器并联系统的协调控制技术。E-mail：。
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