Article(id=1322560476156904025, tenantId=1146029695717560320, journalId=1146031654075715584, issueId=1322560475263513295, articleNumber=null, orderNo=null, doi=10.13234/j.issn.2095-2805.2026.9.360, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1734710400000, receivedDateStr=2024-12-21, revisedDate=1736956800000, revisedDateStr=2025-01-16, acceptedDate=1741795200000, acceptedDateStr=2025-03-13, onlineDate=1793252589501, onlineDateStr=2026-10-29, pubDate=1790697600000, pubDateStr=2026-09-30, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1793252589501, onlineIssueDateStr=2026-10-29, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1793252589501, creator=13701087609, updateTime=1793252589501, updator=13701087609, issue=Issue{id=1322560475263513295, tenantId=1146029695717560320, journalId=1146031654075715584, year='2026', volume='24', issue='9', pageStart='1', pageEnd='370', issueExtLink='null', onlineDate='null', pubDate='1790697600000', pubDateStr='2026-09-30', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1793252589288, creator='13701087609', updateTime=1793252589288, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext=null, issueFiles=null, downloadFileDto=null}, startPage=360, endPage=370, ext={EN=ArticleExt(id=1322560476781855325, articleId=1322560476156904025, tenantId=1146029695717560320, journalId=1146031654075715584, language=EN, title=Analytical Models of Common-mode Voltage under Discontinuous Pulse-width Modulation for Inverters, columnId=1152281499626778753, journalTitle=Journal of Power Supply, columnName=EMI/EMC, runingTitle=null, highlight=null, articleAbstract=

Discontinuous pulse width modulation (DPWM) is widely used in high-power, high-switching three-phase inverters. With the improvement of the inverter performance requirements, the negative impact of the common-mode voltage generated by DPWM on the system cannot be ignored. In order to predict and suppress common-mode voltages, it is necessary to establish the mathematical analytical models of common-mode voltages. By applying the double Fourier series theory, the analytical models for common-mode voltage of DPWM0, DPWM1, and DPWMmax are established. The calculated spectra are derived from the analytical models. The characteristic patterns of common-mode voltage are derived and several approaches to suppressing common-mode voltage are given through the analyses and comparisons of these three analytical models and calculated spectra. Simulations and experiments are carried out based on an inverter-driven motor system, and the simulated spectra and experimental spectra of the common-mode voltage are consistent with the calculated spectra, which verifies the correctness and validity of the analytical models.

, authors=Jian ZHENG, Liangshuai LIN, Cunxing PENG, Kaihui ZHAO, Fang LIU, authorsList=Jian ZHENG, Liangshuai LIN, Cunxing PENG, Kaihui ZHAO, Fang LIU, authorCompany=null, correspAuthors=Kaihui ZHAO, 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=1322560477343892064, articleId=1322560476156904025, tenantId=1146029695717560320, journalId=1146031654075715584, language=CN, title=逆变器不连续脉宽调制下的共模电压解析模型, columnId=1149830424375066632, journalTitle=电源学报, columnName=电磁干扰与电磁兼容, runingTitle=null, highlight=null, articleAbstract=

不连续脉宽调制DPWM(discontinuous pulse width modulation)广泛用于大功率、高开关频率的三相逆变器,随着逆变器性能要求的提升,DPWM产生的共模电压给系统带来的负面影响不容忽视,为了预测和抑制共模电压,需要建立共模电压的数学解析模型。运用双重傅里叶级数理论,建立了DPWM0、DPWM1和DPWMmax的共模电压解析模型,由解析模型得出计算频谱,对3种解析模型和计算频谱进行分析、对比,得出共模电压的特性规律,并给出抑制共模电压的途径。在逆变器驱动电机系统中进行仿真和实验,共模电压的仿真频谱和实验频谱均与计算频谱一致,验证了解析模型的正确性与有效性。

, authors=郑剑中国电源学会会员, 林良帅中国电源学会学生会员, 彭存性中国电源学会学生会员, 赵凯辉中国电源学会会员, 刘芳中国电源学会学生会员, authorsList=郑剑中国电源学会会员, 林良帅中国电源学会学生会员, 彭存性中国电源学会学生会员, 赵凯辉中国电源学会会员, 刘芳中国电源学会学生会员, authorCompany=null, correspAuthors=赵凯辉中国电源学会会员, authorNote=

郑剑(1976— ),男,中国电源学会会员,博士,副教授、高级工程师。研究方向:电源控制及可靠性。E-mail:。

林良帅(2000— ),男,中国电源学会学生会员,硕士。研究方向:电源传导电磁干扰抑制。E-mail:。

彭存性(1998— ),男,中国电源学会学生会员,硕士。研究方向:电力电子与电力传动。E-mail:。

刘芳(2000— ),女,中国电源学会学生会员,硕士。研究方向:共模滤波器及应用。E-mail:。

, correspAuthorsNote=
赵凯辉(1972— ),男,中国电源学会会员,通信作者,博士,教授。研究方向:电机控制。E-mail:。
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郑剑(1976— ),男,中国电源学会会员,博士,副教授、高级工程师。研究方向:电源控制及可靠性。E-mail:。

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郑剑(1976— ),男,中国电源学会会员,博士,副教授、高级工程师。研究方向:电源控制及可靠性。E-mail:。

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林良帅(2000— ),男,中国电源学会学生会员,硕士。研究方向:电源传导电磁干扰抑制。E-mail:。

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林良帅(2000— ),男,中国电源学会学生会员,硕士。研究方向:电源传导电磁干扰抑制。E-mail:。

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彭存性(1998— ),男,中国电源学会学生会员,硕士。研究方向:电力电子与电力传动。E-mail:。

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彭存性(1998— ),男,中国电源学会学生会员,硕士。研究方向:电力电子与电力传动。E-mail:。

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刘芳(2000— ),女,中国电源学会学生会员,硕士。研究方向:共模滤波器及应用。E-mail:。

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刘芳(2000— ),女,中国电源学会学生会员,硕士。研究方向:共模滤波器及应用。E-mail:。

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逆变器不连续脉宽调制下的共模电压解析模型
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郑剑中国电源学会会员 , 林良帅中国电源学会学生会员 , 彭存性中国电源学会学生会员 , 赵凯辉中国电源学会会员 , 刘芳中国电源学会学生会员
电源学报 | 电磁干扰与电磁兼容 2026,24(9): 360-370
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电源学报 |电磁干扰与电磁兼容 2026 , 24 (9) : 360 -370
逆变器不连续脉宽调制下的共模电压解析模型
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彭存性(1998— ),男,中国电源学会学生会员,硕士。研究方向:电力电子与电力传动。E-mail:。

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刘芳(2000— ),女,中国电源学会学生会员,硕士。研究方向:共模滤波器及应用。E-mail:。

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刘芳(2000— ),女,中国电源学会学生会员,硕士。研究方向:共模滤波器及应用。E-mail:。

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郑剑中国电源学会会员 , 林良帅中国电源学会学生会员 , 彭存性中国电源学会学生会员 , 赵凯辉中国电源学会会员 , 刘芳中国电源学会学生会员
作者信息
  • 湖南工业大学交通与电气工程学院,株洲 412007
通讯作者:
赵凯辉(1972— ),男,中国电源学会会员,通信作者,博士,教授。研究方向:电机控制。E-mail:。
作者简介:

郑剑(1976— ),男,中国电源学会会员,博士,副教授、高级工程师。研究方向:电源控制及可靠性。E-mail:。

林良帅(2000— ),男,中国电源学会学生会员,硕士。研究方向:电源传导电磁干扰抑制。E-mail:。

彭存性(1998— ),男,中国电源学会学生会员,硕士。研究方向:电力电子与电力传动。E-mail:。

刘芳(2000— ),女,中国电源学会学生会员,硕士。研究方向:共模滤波器及应用。E-mail:。

Analytical Models of Common-mode Voltage under Discontinuous Pulse-width Modulation for Inverters
Jian ZHENG Member, CPSS , Liangshuai LIN Student Member, CPSS , Cunxing PENG Student Member, CPSS , Kaihui ZHAO Member, CPSS , Fang LIU Student Member, CPSS
Affiliations
  • School of Traffic and Electrical Engineering, Hunan University of Technology, Zhuzhou 412007, China
出版时间: 2026-09-30 doi: 10.13234/j.issn.2095-2805.2026.9.360
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不连续脉宽调制DPWM(discontinuous pulse width modulation)广泛用于大功率、高开关频率的三相逆变器,随着逆变器性能要求的提升,DPWM产生的共模电压给系统带来的负面影响不容忽视,为了预测和抑制共模电压,需要建立共模电压的数学解析模型。运用双重傅里叶级数理论,建立了DPWM0、DPWM1和DPWMmax的共模电压解析模型,由解析模型得出计算频谱,对3种解析模型和计算频谱进行分析、对比,得出共模电压的特性规律,并给出抑制共模电压的途径。在逆变器驱动电机系统中进行仿真和实验,共模电压的仿真频谱和实验频谱均与计算频谱一致,验证了解析模型的正确性与有效性。

三相逆变器  /  不连续脉宽调制  /  共模电压  /  解析模型  /  双重傅里叶级数

Discontinuous pulse width modulation (DPWM) is widely used in high-power, high-switching three-phase inverters. With the improvement of the inverter performance requirements, the negative impact of the common-mode voltage generated by DPWM on the system cannot be ignored. In order to predict and suppress common-mode voltages, it is necessary to establish the mathematical analytical models of common-mode voltages. By applying the double Fourier series theory, the analytical models for common-mode voltage of DPWM0, DPWM1, and DPWMmax are established. The calculated spectra are derived from the analytical models. The characteristic patterns of common-mode voltage are derived and several approaches to suppressing common-mode voltage are given through the analyses and comparisons of these three analytical models and calculated spectra. Simulations and experiments are carried out based on an inverter-driven motor system, and the simulated spectra and experimental spectra of the common-mode voltage are consistent with the calculated spectra, which verifies the correctness and validity of the analytical models.

Three-phase inverter  /  discontinuous pulse width modulation  /  common-mode voltage  /  analytical model  /  double Fourier series
郑剑中国电源学会会员, 林良帅中国电源学会学生会员, 彭存性中国电源学会学生会员, 赵凯辉中国电源学会会员, 刘芳中国电源学会学生会员. 逆变器不连续脉宽调制下的共模电压解析模型. 电源学报, 2026 , 24 (9) : 360 -370 . DOI: 10.13234/j.issn.2095-2805.2026.9.360
Jian ZHENG, Liangshuai LIN, Cunxing PENG, Kaihui ZHAO, Fang LIU. Analytical Models of Common-mode Voltage under Discontinuous Pulse-width Modulation for Inverters[J]. Journal of Power Supply, 2026 , 24 (9) : 360 -370 . DOI: 10.13234/j.issn.2095-2805.2026.9.360
  • 国家自然科学基金资助项目(52477188; 62303178)
  • 湖南省自然科学基金资助项目(2025JJ80310; 2026JJ80067)
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2026年第24卷第9期
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文章信息
doi: 10.13234/j.issn.2095-2805.2026.9.360
  • 接收时间:2024-12-21
  • 首发时间:2026-10-29
  • 出版时间:2026-09-30
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出版历史
  • 收稿日期:2024-12-21
  • 修回日期:2025-01-16
  • 录用日期:2025-03-13
基金
National Natural Science Foundation of China(52477188; 62303178)
国家自然科学基金资助项目(52477188; 62303178)
Hunan Provincial Natural Science Foundation of China(2025JJ80310; 2026JJ80067)
湖南省自然科学基金资助项目(2025JJ80310; 2026JJ80067)
作者信息
    湖南工业大学交通与电气工程学院,株洲 412007

通讯作者:

赵凯辉(1972— ),男,中国电源学会会员,通信作者,博士,教授。研究方向:电机控制。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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