Article(id=1321481991325864825, tenantId=1146029695717560320, journalId=1146031654075715584, issueId=1321481963769287353, articleNumber=null, orderNo=null, doi=10.13234/j.issn.2095-2805.2025.3.220, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1724774400000, receivedDateStr=2024-08-28, revisedDate=1727625600000, revisedDateStr=2024-09-30, acceptedDate=1729872000000, acceptedDateStr=2024-10-26, onlineDate=1792995458680, onlineDateStr=2026-10-26, pubDate=1748534400000, pubDateStr=2025-05-30, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1792995458680, onlineIssueDateStr=2026-10-26, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1792995458680, creator=13701087609, updateTime=1792995458680, updator=13701087609, issue=Issue{id=1321481963769287353, tenantId=1146029695717560320, journalId=1146031654075715584, year='2025', volume='23', issue='3', pageStart='1', pageEnd='372', issueExtLink='null', onlineDate='null', pubDate='1748534400000', pubDateStr='2025-05-30', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1792995452109, creator='13701087609', updateTime=1792995578032, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1321482491983147168, tenantId=1146029695717560320, journalId=1146031654075715584, issueId=1321481963769287353, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1321482491983147169, tenantId=1146029695717560320, journalId=1146031654075715584, issueId=1321481963769287353, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=220, endPage=227, ext={EN=ArticleExt(id=1321481991514608506, articleId=1321481991325864825, tenantId=1146029695717560320, journalId=1146031654075715584, language=EN, title=Two-layer Master-slave Game Harmonic Trading Model with PV Inverters Participating in Distribution Networks, columnId=1321481964440375995, journalTitle=Journal of Power Supply, columnName=Special Issue on Analysis and Control of Power Quality in New Power Systems, runingTitle=null, highlight=null, articleAbstract=

With the access of power electronic equipment to distribution networks, the harmonic problem therein is becoming increasingly serious. Photovoltaic (PV) inverters are topologically homologous with active filters, which have the capability of controllable harmonic management. However, the application of PV inverters for harmonic management involves multiple entities of interest, more independence is granted to PV users in terms of pricing, and there is still a lack of trading models that account for harmonic management. First, the concept of a harmonic management aggregator is proposed, which is involved in harmonic management trading as a third party and thus realizes a unified constraint on the random pricing behaviors of multiple PV user. Second, a two-layer master-slave game harmonic management trading model with the participation of three parties is formulated, in which a price game between the harmonic management aggregator and harmonic source users is realized in the upper layer and a price game between the aggregator and PV users is performed in the lower layer. Finally, the proposed method is verified by an IEEE 13-node system, and simulation results show that the established model has an obvious harmonic management effect and different parties have significant benefits, which can effectively incentivize the three parties to participate in the management.

, authors=Qing WANG1, Huaying ZHANG1, Jingyi LI2, Ying WANG2, authorsList=Qing WANG, Huaying ZHANG, Jingyi LI, Ying WANG, authorCompany=null, correspAuthors=Jingyi LI, 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=1321481991950816125, articleId=1321481991325864825, tenantId=1146029695717560320, journalId=1146031654075715584, language=CN, title=配电网光伏逆变器参与的双层主从博弈谐波交易模型, columnId=1149829646675607555, journalTitle=电源学报, columnName=新型电力系统电能质量分析与控制专辑, runingTitle=null, highlight=null, articleAbstract=

随着电力电子设备接入配电网,配网谐波问题日益严重,光伏逆变器与有源滤波器拓扑同源,具备可控的谐波治理能力。然而,应用光伏逆变器进行谐波治理涉及到多利益主体,光伏用户定价具有较强自主性,尚缺乏计及谐波治理的交易模式。基于此,首先提出谐波治理聚合商的概念,作为第三方参与谐波治理交易,实现对多光伏用户随机定价行为的统一约束;其次,提出三方参与的双层主从博弈谐波治理交易模型,在上层实现谐波治理聚合商与谐波源用户价格博弈,在下层进行谐波治理聚合商与各光伏用户价格博弈;最后,在IEEE-13节点系统验证所提算法,仿真结果表明,所提模型谐波治理效果明显,各方收益显著,可有效激励三方的参与积极性。

, authors=汪清中国电源学会会员1, 张华赢中国电源学会会员1, 李敬毅2, 汪颖2, authorsList=汪清中国电源学会会员, 张华赢中国电源学会会员, 李敬毅, 汪颖, authorCompany=null, correspAuthors=李敬毅, authorNote=

汪清(1987— ),女,中国电源学会会员,硕士,高级工程师。研究方向:电能质量监测。E-mail:。

张华赢(1981— ),男,中国电源学会会员,硕士,教授级高级工程师。研究方向:电能质量监测与治理技术。E-mail:。

汪颖(1981— ),女,博士,教授。研究方向:电能质量。E-mail:。

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李敬毅(2000— ),男,通信作者,硕士研究生。研究方向:电能质量。E-mail:。
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汪清(1987— ),女,中国电源学会会员,硕士,高级工程师。研究方向:电能质量监测。E-mail:。

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张华赢(1981— ),男,中国电源学会会员,硕士,教授级高级工程师。研究方向:电能质量监测与治理技术。E-mail:。

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张华赢(1981— ),男,中国电源学会会员,硕士,教授级高级工程师。研究方向:电能质量监测与治理技术。E-mail:。

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配电网光伏逆变器参与的双层主从博弈谐波交易模型
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汪清中国电源学会会员 1 , 张华赢中国电源学会会员 1 , 李敬毅 2 , 汪颖 2
电源学报 | 新型电力系统电能质量分析与控制专辑 2025,23(3): 220-227
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电源学报 |新型电力系统电能质量分析与控制专辑 2025 , 23 (3) : 220 -227
配电网光伏逆变器参与的双层主从博弈谐波交易模型
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汪清中国电源学会会员1 , 张华赢中国电源学会会员1 , 李敬毅2 , 汪颖2
作者信息
  • 1.南方电网公司新型智慧城市高品质供电联合实验室(深圳供电局有限公司),深圳 518020
  • 2.四川大学电气工程学院,成都 610000
通讯作者:
李敬毅(2000— ),男,通信作者,硕士研究生。研究方向:电能质量。E-mail:。
作者简介:

汪清(1987— ),女,中国电源学会会员,硕士,高级工程师。研究方向:电能质量监测。E-mail:。

张华赢(1981— ),男,中国电源学会会员,硕士,教授级高级工程师。研究方向:电能质量监测与治理技术。E-mail:。

汪颖(1981— ),女,博士,教授。研究方向:电能质量。E-mail:。

Two-layer Master-slave Game Harmonic Trading Model with PV Inverters Participating in Distribution Networks
Qing WANG Member, CPSS1 , Huaying ZHANG Member, CPSS1 , Jingyi LI2 , Ying WANG2
Affiliations
  • 1.New Smart City High Quality Power Supply Joint Laboratory of China Southern Power Grid Co., Ltd. (Shenzhen Power Supply Co., Ltd.), Shenzhen 518020, China
  • 2.College of Electrical Engineering, Sichuan University, Chengdu 610000, China
出版时间: 2025-05-30 doi: 10.13234/j.issn.2095-2805.2025.3.220
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随着电力电子设备接入配电网,配网谐波问题日益严重,光伏逆变器与有源滤波器拓扑同源,具备可控的谐波治理能力。然而,应用光伏逆变器进行谐波治理涉及到多利益主体,光伏用户定价具有较强自主性,尚缺乏计及谐波治理的交易模式。基于此,首先提出谐波治理聚合商的概念,作为第三方参与谐波治理交易,实现对多光伏用户随机定价行为的统一约束;其次,提出三方参与的双层主从博弈谐波治理交易模型,在上层实现谐波治理聚合商与谐波源用户价格博弈,在下层进行谐波治理聚合商与各光伏用户价格博弈;最后,在IEEE-13节点系统验证所提算法,仿真结果表明,所提模型谐波治理效果明显,各方收益显著,可有效激励三方的参与积极性。

谐波治理聚合商  /  谐波交易  /  主从博弈  /  光伏逆变器  /  电能质量

With the access of power electronic equipment to distribution networks, the harmonic problem therein is becoming increasingly serious. Photovoltaic (PV) inverters are topologically homologous with active filters, which have the capability of controllable harmonic management. However, the application of PV inverters for harmonic management involves multiple entities of interest, more independence is granted to PV users in terms of pricing, and there is still a lack of trading models that account for harmonic management. First, the concept of a harmonic management aggregator is proposed, which is involved in harmonic management trading as a third party and thus realizes a unified constraint on the random pricing behaviors of multiple PV user. Second, a two-layer master-slave game harmonic management trading model with the participation of three parties is formulated, in which a price game between the harmonic management aggregator and harmonic source users is realized in the upper layer and a price game between the aggregator and PV users is performed in the lower layer. Finally, the proposed method is verified by an IEEE 13-node system, and simulation results show that the established model has an obvious harmonic management effect and different parties have significant benefits, which can effectively incentivize the three parties to participate in the management.

Harmonic management aggregator  /  harmonic trading  /  master-slave game  /  photovoltaic (PV) inverter  /  power quality
汪清中国电源学会会员, 张华赢中国电源学会会员, 李敬毅, 汪颖. 配电网光伏逆变器参与的双层主从博弈谐波交易模型. 电源学报, 2025 , 23 (3) : 220 -227 . DOI: 10.13234/j.issn.2095-2805.2025.3.220
Qing WANG, Huaying ZHANG, Jingyi LI, Ying WANG. Two-layer Master-slave Game Harmonic Trading Model with PV Inverters Participating in Distribution Networks[J]. Journal of Power Supply, 2025 , 23 (3) : 220 -227 . DOI: 10.13234/j.issn.2095-2805.2025.3.220
  • 南方电网公司科技资助项目(090000KK52222153; SZKJXM20222151)
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2025年第23卷第3期
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doi: 10.13234/j.issn.2095-2805.2025.3.220
  • 接收时间:2024-08-28
  • 首发时间:2026-10-26
  • 出版时间:2025-05-30
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  • 收稿日期:2024-08-28
  • 修回日期:2024-09-30
  • 录用日期:2024-10-26
基金
Science and Technology Project of China Southern Power Grid Co., Ltd.(090000KK52222153; SZKJXM20222151)
南方电网公司科技资助项目(090000KK52222153; SZKJXM20222151)
作者信息
    1.南方电网公司新型智慧城市高品质供电联合实验室(深圳供电局有限公司),深圳 518020
    2.四川大学电气工程学院,成都 610000

通讯作者:

李敬毅(2000— ),男,通信作者,硕士研究生。研究方向:电能质量。E-mail:。
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2种不同金属材料的力学参数
科
Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)
属
Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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