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Article(id=1322531856197731222, tenantId=1146029695717560320, journalId=1146031654075715584, issueId=1322531779840426416, articleNumber=null, orderNo=null, doi=10.13234/j.issn.2095-2805.2026.7.243, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1725897600000, receivedDateStr=2024-09-10, revisedDate=1727884800000, revisedDateStr=2024-10-03, acceptedDate=1728748800000, acceptedDateStr=2024-10-13, onlineDate=1793245765971, onlineDateStr=2026-10-29, pubDate=1785340800000, pubDateStr=2026-07-30, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1793245765971, onlineIssueDateStr=2026-10-29, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1793245765971, creator=13701087609, updateTime=1793245765971, updator=13701087609, issue=Issue{id=1322531779840426416, tenantId=1146029695717560320, journalId=1146031654075715584, year='2026', volume='24', issue='7', pageStart='1', pageEnd='368', issueExtLink='null', onlineDate='null', pubDate='1785340800000', pubDateStr='2026-07-30', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1793245747766, creator='13701087609', updateTime=1793245747766, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext=null, issueFiles=null, downloadFileDto=null}, startPage=243, endPage=252, ext={EN=ArticleExt(id=1322531856478749591, articleId=1322531856197731222, tenantId=1146029695717560320, journalId=1146031654075715584, language=EN, title=Joint Probabilistic Modeling Approach for Harmonic and Three-phase Unbalanced Disturbance Sources, columnId=1321491706692878600, journalTitle=Journal of Power Supply, columnName=Power Electronic Dominated Power Systems, runingTitle=null, highlight=null, articleAbstract=

Harmonics and three-phase unbalance are two common forms of disturbances in power systems, which interact with each other and jointly cause more complex impacts on power systems. In order to more comprehensively and accurately analyze the distribution law and interaction mechanism of harmonics and three-phase unbalance, the joint emission level of harmonic and three-phase unbalanced disturbance sources (H-TU-DS) is investigated, and a joint probabilistic emission level modeling method is proposed. First, based on the multivariate correlation coefficients of disturbance source power, harmonic and three-phase unbalanced data, the disturbance source characteristic dataset is screened to realize the data dimensionality reduction. Subsequently, the fuzzy C-means (FCM) algorithm is used to complete the clustering division of the feature data, which lays the foundation for the disturbance source sub-condition analysis. Then, the joint probability model of H-TU-DS is constructed by the nonparametric kernel density estimation method. Finally, the effectiveness and accuracy of the proposed feature dataset screening method, operation condition classification method and joint probability modeling method are proved by comparing and verifying the simulated and measured data.

, authors=Yifan ZHANG1, 2, Dazhi PAN3, Yonghong ZHANG4, Lijian XIN1, Ying WANG5, Xinru WANG5, authorsList=Yifan ZHANG, Dazhi PAN, Yonghong ZHANG, Lijian XIN, Ying WANG, Xinru WANG, authorCompany=null, correspAuthors=Xinru 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=1322531857086923674, articleId=1322531856197731222, tenantId=1146029695717560320, journalId=1146031654075715584, language=CN, title=谐波和三相不平衡扰动源联合概率建模方法, columnId=1321491706852262154, journalTitle=电源学报, columnName=电力电子化电力系统, runingTitle=null, highlight=null, articleAbstract=

谐波和三相不平衡是电力系统常见的2种扰动形式，彼此相互作用与影响，共同对电力系统造成更复杂的影响。为了更全面、准确地分析谐波和三相不平衡的分布规律与相互作用机制，对谐波和三相不平衡扰动源H-TU-DS（harmonic and three-phase unbalanced disturbance sources）的联合发射水平进行研究，提出了一种联合概率发射水平建模方法。首先，基于扰动源功率、谐波和三相不平衡数据的多元相关系数，筛选出扰动源特征数据集，实现数据降维。接着，利用模糊C均值FCM（fuzzy C-means）算法完成对特征数据的聚类划分，为扰动源分工况分析奠定基础。然后，通过非参数核密度估计方法构建H-TU-DS的联合概率模型。最后，通过仿真和实测数据对比，证明了所提特征数据集筛选方法、运行工况划分方法和联合概率建模方法的有效性和准确性。

, authors=张一帆1, 2, 潘大志3, 张永宏4, 辛力坚1, 汪颖5, 王心茹5, authorsList=张一帆, 潘大志, 张永宏, 辛力坚, 汪颖, 王心茹, authorCompany=null, correspAuthors=王心茹, authorNote=

张一帆（1984—　），女，本科，高级工程师。研究方向：电力系统，电能质量。E-mail：。

潘大志（1977—　），男，本科，高级工程师。研究方向：电力系统及其自动化。E-mail：。

张永宏（1975—　），男，硕士，高级工程师。研究方向：电网运维管理。E-mail：。

辛力坚（1978—　），男，本科，正高级工程师。研究方向：电力系统。E-mail：。

汪颖（1982—　），女，博士，教授。研究方向：电能质量与优质供电。E-mail：。

, correspAuthorsNote=
王心茹（2000—　），女，通信作者，博士研究生。研究方向：电能质量与优质供电。E-mail：。
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张一帆（1984—　），女，本科，高级工程师。研究方向：电力系统，电能质量。E-mail：。

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张一帆（1984—　），女，本科，高级工程师。研究方向：电力系统，电能质量。E-mail：。

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潘大志（1977—　），男，本科，高级工程师。研究方向：电力系统及其自动化。E-mail：。

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潘大志（1977—　），男，本科，高级工程师。研究方向：电力系统及其自动化。E-mail：。

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张永宏（1975—　），男，硕士，高级工程师。研究方向：电网运维管理。E-mail：。

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张永宏（1975—　），男，硕士，高级工程师。研究方向：电网运维管理。E-mail：。

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辛力坚（1978—　），男，本科，正高级工程师。研究方向：电力系统。E-mail：。

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辛力坚（1978—　），男，本科，正高级工程师。研究方向：电力系统。E-mail：。

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汪颖（1982—　），女，博士，教授。研究方向：电能质量与优质供电。E-mail：。

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汪颖（1982—　），女，博士，教授。研究方向：电能质量与优质供电。E-mail：。

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谐波和三相不平衡扰动源联合概率建模方法
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张一帆 1, 2 , 潘大志 3 , 张永宏 4 , 辛力坚 1 , 汪颖 5 , 王心茹 5
电源学报 | 电力电子化电力系统 2026,24(7): 243-252
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电源学报 |电力电子化电力系统 2026 , 24 (7) : 243 -252
谐波和三相不平衡扰动源联合概率建模方法
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辛力坚（1978—　），男，本科，正高级工程师。研究方向：电力系统。E-mail：。

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汪颖（1982—　），女，博士，教授。研究方向：电能质量与优质供电。E-mail：。

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张一帆1, 2 , 潘大志3 , 张永宏4 , 辛力坚1 , 汪颖5 , 王心茹5
作者信息
  • 1.内蒙古电力（集团）有限责任公司内蒙古电力科学研究院分公司，呼和浩特　010020
  • 2.内蒙古自治区新型电力系统智能电网企业重点实验室，呼和浩特　010020
  • 3.内蒙古电力（集团）有限责任公司，呼和浩特　010020
  • 4.内蒙古电力（集团）有限责任公司鄂尔多斯供电公司，鄂尔多斯　017000
  • 5.四川大学电气工程学院，成都　610065
通讯作者:
王心茹（2000—　），女，通信作者，博士研究生。研究方向：电能质量与优质供电。E-mail：。
作者简介:

张一帆（1984—　），女，本科，高级工程师。研究方向：电力系统，电能质量。E-mail：。

潘大志（1977—　），男，本科，高级工程师。研究方向：电力系统及其自动化。E-mail：。

张永宏（1975—　），男，硕士，高级工程师。研究方向：电网运维管理。E-mail：。

辛力坚（1978—　），男，本科，正高级工程师。研究方向：电力系统。E-mail：。

汪颖（1982—　），女，博士，教授。研究方向：电能质量与优质供电。E-mail：。

Joint Probabilistic Modeling Approach for Harmonic and Three-phase Unbalanced Disturbance Sources
Yifan ZHANG1, 2 , Dazhi PAN3 , Yonghong ZHANG4 , Lijian XIN1 , Ying WANG5 , Xinru WANG5
Affiliations
  • 1.Inner Mongolia Power (Group) Co., Ltd., Inner Mongolia Power Research Institute Branch, Hohhot 010020, China
  • 2.Inner Mongolia Key Laboratory of Smart Grid of New-type Power System, Hohhot 010020, China
  • 3.Inner Mongolia Power (Group) Co., Ltd., Hohhot 010020, China
  • 4.Inner Mongolia Power (Group) Co., Ltd., Ordos Power Supply Company, Ordos 017000, China
  • 5.College of Electrical Engineering, Sichuan University, Chengdu 610065, China
出版时间: 2026-07-30 doi: 10.13234/j.issn.2095-2805.2026.7.243
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摘要
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谐波和三相不平衡是电力系统常见的2种扰动形式，彼此相互作用与影响，共同对电力系统造成更复杂的影响。为了更全面、准确地分析谐波和三相不平衡的分布规律与相互作用机制，对谐波和三相不平衡扰动源H-TU-DS（harmonic and three-phase unbalanced disturbance sources）的联合发射水平进行研究，提出了一种联合概率发射水平建模方法。首先，基于扰动源功率、谐波和三相不平衡数据的多元相关系数，筛选出扰动源特征数据集，实现数据降维。接着，利用模糊C均值FCM（fuzzy C-means）算法完成对特征数据的聚类划分，为扰动源分工况分析奠定基础。然后，通过非参数核密度估计方法构建H-TU-DS的联合概率模型。最后，通过仿真和实测数据对比，证明了所提特征数据集筛选方法、运行工况划分方法和联合概率建模方法的有效性和准确性。

谐波  /  三相不平衡  /  非参数核密度  /  概率建模

Harmonics and three-phase unbalance are two common forms of disturbances in power systems, which interact with each other and jointly cause more complex impacts on power systems. In order to more comprehensively and accurately analyze the distribution law and interaction mechanism of harmonics and three-phase unbalance, the joint emission level of harmonic and three-phase unbalanced disturbance sources (H-TU-DS) is investigated, and a joint probabilistic emission level modeling method is proposed. First, based on the multivariate correlation coefficients of disturbance source power, harmonic and three-phase unbalanced data, the disturbance source characteristic dataset is screened to realize the data dimensionality reduction. Subsequently, the fuzzy C-means (FCM) algorithm is used to complete the clustering division of the feature data, which lays the foundation for the disturbance source sub-condition analysis. Then, the joint probability model of H-TU-DS is constructed by the nonparametric kernel density estimation method. Finally, the effectiveness and accuracy of the proposed feature dataset screening method, operation condition classification method and joint probability modeling method are proved by comparing and verifying the simulated and measured data.

Harmonics  /  three-phase unbalance  /  nonparametric kernel density  /  probability modeling
张一帆, 潘大志, 张永宏, 辛力坚, 汪颖, 王心茹. 谐波和三相不平衡扰动源联合概率建模方法. 电源学报, 2026 , 24 (7) : 243 -252 . DOI: 10.13234/j.issn.2095-2805.2026.7.243
Yifan ZHANG, Dazhi PAN, Yonghong ZHANG, Lijian XIN, Ying WANG, Xinru WANG. Joint Probabilistic Modeling Approach for Harmonic and Three-phase Unbalanced Disturbance Sources[J]. Journal of Power Supply, 2026 , 24 (7) : 243 -252 . DOI: 10.13234/j.issn.2095-2805.2026.7.243
基金
收起
  • 2023年内蒙古电力公司科技创新“揭榜挂帅”资助项目(2023-3-2)
  • 2023年内蒙古自治区科技资助计划(2023KYPT0020)
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2026年第24卷第7期
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文章信息
doi: 10.13234/j.issn.2095-2805.2026.7.243
  • 接收时间：2024-09-10
  • 首发时间：2026-10-29
  • 出版时间：2026-07-30
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出版历史
  • 收稿日期：2024-09-10
  • 修回日期：2024-10-03
  • 录用日期：2024-10-13
基金
2023 Inner Mongolia Power (Group) Co., Ltd. Science and Technology Innovation “Unveiled Marshal” Project(2023-3-2)
2023年内蒙古电力公司科技创新“揭榜挂帅”资助项目(2023-3-2)
2023 Inner Mongolia Autonomous Region Science and Technology Program(2023KYPT0020)
2023年内蒙古自治区科技资助计划(2023KYPT0020)
作者信息
    1.内蒙古电力（集团）有限责任公司内蒙古电力科学研究院分公司，呼和浩特　010020
    2.内蒙古自治区新型电力系统智能电网企业重点实验室，呼和浩特　010020
    3.内蒙古电力（集团）有限责任公司，呼和浩特　010020
    4.内蒙古电力（集团）有限责任公司鄂尔多斯供电公司，鄂尔多斯　017000
    5.四川大学电气工程学院，成都　610065

通讯作者:

王心茹（2000—　），女，通信作者，博士研究生。研究方向：电能质量与优质供电。E-mail：。
参考文献
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https://castjournals.cast.org.cn/joweb/dyxb/CN/10.13234/j.issn.2095-2805.2026.7.243
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2种不同金属材料的力学参数
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
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