电源学报

基于EMD-小波阈值与自适应分组聚合的超高次谐波检测方法

PDF下载

明远东 , 刘建锋 , 范一凡 , 宋伊宁

电源学报 | 电力电子化电力系统 2026,24(7): 222-231

收起

电源学报 |电力电子化电力系统 2026 , 24 (7) : 222 -231

基于EMD-小波阈值与自适应分组聚合的超高次谐波检测方法

全屏

[Author(id=1322531847859454819, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322531846336922458, orderNo=0, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=516480896@qq.com, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1322531848119501669, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322531846336922458, authorId=1322531847859454819, language=EN, stringName=Yuandong MING, firstName=Yuandong, middleName=null, lastName=MING, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=School of Electrical Engineering, Shanghai University of Electric Power, Shanghai 200090, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1322531848211776358, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322531846336922458, authorId=1322531847859454819, language=CN, stringName=明远东, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=上海电力大学电气工程学院，上海　200090, bio={"content":"

明远东（1998—　），男，硕士研究生。研究方向：超高次谐波检测方法。E-mail：516480896@qq.com。

"}, bioImg=null, bioContent=

明远东（1998—　），男，硕士研究生。研究方向：超高次谐波检测方法。E-mail：516480896@qq.com。

, aboutCorrespAuthor=null)}, companyList=[AuthorCompany(id=1322531847746208607, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322531846336922458, xref=null, ext=[AuthorCompanyExt(id=1322531847754597216, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322531846336922458, companyId=1322531847746208607, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=School of Electrical Engineering, Shanghai University of Electric Power, Shanghai 200090, China), AuthorCompanyExt(id=1322531847762985825, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322531846336922458, companyId=1322531847746208607, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=上海电力大学电气工程学院，上海　200090)])]), Author(id=1322531848283079528, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322531846336922458, orderNo=1, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=bansen@sina.com, emailSecond=null, emailThird=null, correspondingAuthor=1, authorType=1, ext={EN=AuthorExt(id=1322531848375354218, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322531846336922458, authorId=1322531848283079528, language=EN, stringName=Jianfeng LIU, firstName=Jianfeng, middleName=null, lastName=LIU, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=School of Electrical Engineering, Shanghai University of Electric Power, Shanghai 200090, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1322531848446657387, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322531846336922458, authorId=1322531848283079528, language=CN, stringName=刘建锋, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=上海电力大学电气工程学院，上海　200090, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null)}, companyList=[AuthorCompany(id=1322531847746208607, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322531846336922458, xref=null, ext=[AuthorCompanyExt(id=1322531847754597216, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322531846336922458, companyId=1322531847746208607, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=School of Electrical Engineering, Shanghai University of Electric Power, Shanghai 200090, China), AuthorCompanyExt(id=1322531847762985825, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322531846336922458, companyId=1322531847746208607, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=上海电力大学电气工程学院，上海　200090)])]), Author(id=1322531848522154861, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322531846336922458, orderNo=2, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=1658552238@qq.com, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1322531848614429551, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322531846336922458, authorId=1322531848522154861, language=EN, stringName=Yifan FAN, firstName=Yifan, middleName=null, lastName=FAN, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=School of Electrical Engineering, Shanghai University of Electric Power, Shanghai 200090, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1322531848689927024, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322531846336922458, authorId=1322531848522154861, language=CN, stringName=范一凡, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=上海电力大学电气工程学院，上海　200090, bio={"content":"

范一凡（1999—　），男，硕士研究生。研究方向：变压器绕组故障诊断。E-mail：1658552238@qq.com。

"}, bioImg=null, bioContent=

范一凡（1999—　），男，硕士研究生。研究方向：变压器绕组故障诊断。E-mail：1658552238@qq.com。

宋伊宁（2000—　），女，硕士研究生。研究方向：超高次谐波抑制策略。E-mail：760977246@qq.com。

"}, bioImg=null, bioContent=

宋伊宁（2000—　），女，硕士研究生。研究方向：超高次谐波抑制策略。E-mail：760977246@qq.com。

明远东, 刘建锋, 范一凡, 宋伊宁

作者信息

上海电力大学电气工程学院，上海　200090

通讯作者:

刘建锋（1968—　），男，通信作者，博士，副教授。研究方向：电力设备在线监测，数字化变电站智能设备。E-mail：bansen@sina.com。

作者简介:

明远东（1998—　），男，硕士研究生。研究方向：超高次谐波检测方法。E-mail：516480896@qq.com。

范一凡（1999—　），男，硕士研究生。研究方向：变压器绕组故障诊断。E-mail：1658552238@qq.com。

宋伊宁（2000—　），女，硕士研究生。研究方向：超高次谐波抑制策略。E-mail：760977246@qq.com。

A Supraharmonic Detection Method Based on EMD-wavelet Thresholding and Adaptive Grouping Aggregation

Yuandong MING, Jianfeng LIU, Yifan FAN, Yining SONG

Affiliations

School of Electrical Engineering, Shanghai University of Electric Power, Shanghai 200090, China

出版时间: 2026-07-30 doi: 10.13234/j.issn.2095-2805.2026.7.222

文章导航

摘要

收起

在超高次谐波检测中，噪声的存在会对检测结果造成影响，并且现有的谐波分组聚合方法并不完全适合超高次谐波的分析，因此提出经验模态分解EMD（empirical mode decomposition）-小波阈值与自适应分组聚合的超高次谐波检测方法。首先对EMD方法得到的含有主要噪声的高频固有模态函数IMF（intrinsic mode function）分量，利用小波阈值方法进行去噪处理，再将去噪后的IMF分量加上最初的低频IMF分量即为最终去噪后的信号。其次根据超高次谐波源的开关频率确定合适的分组带宽，并对去噪后信号频谱内的超高次谐波按照从特征频率中心向两边延伸的方式进行分组聚合。最后通过仿真与实验对上述方法进行验证，结果证明了EMD-小波阈值与自适应分组聚合的超高次谐波检测方法的可行性。

关键词

超高次谐波 / 噪声 / 分组聚合 / 开关频率 / 分组带宽 / 谐波分析

Abstract

收起

During the detection of supraharmonics, noise affects the results, and existing harmonic grouping methods were not entirely suitable for their analysis. Consequently, a supraharmonic detection method based on empirical mode decomposition (EMD)-wavelet thresholding and adaptive grouping aggregation was proposed. Initially, high-frequency intrinsic mode function (IMF) components containing significant noise from the EMD method were denoised using wavelet thresholding. The denoised IMF components were then combined with the original low-frequency IMF components to form the final denoised signal. Subsequently, an appropriate grouping bandwidth was determined based on the switching frequency of the supraharmonic sources, and the supraharmonics within the denoised signal spectrum were grouped and aggregated outward from the characteristic frequency center. Finally, simulation and experiments validated the aforementioned method, indicating the feasibility of the EMD-wavelet thresholding and adaptive grouping aggregation approach for supraharmonic detection.

Key words

Supraharmonics / noise / grouping aggregation / switching frequency / grouping bandwidth / harmonic analysis

引用本文

明远东, 刘建锋, 范一凡, 宋伊宁. 基于EMD-小波阈值与自适应分组聚合的超高次谐波检测方法. 电源学报, 2026 , 24 (7) : 222 -231 . DOI: 10.13234/j.issn.2095-2805.2026.7.222

Yuandong MING, Jianfeng LIU, Yifan FAN, Yining SONG. A Supraharmonic Detection Method Based on EMD-wavelet Thresholding and Adaptive Grouping Aggregation[J]. Journal of Power Supply, 2026 , 24 (7) : 222 -231 . DOI: 10.13234/j.issn.2095-2805.2026.7.222

基金

收起

国家自然科学基金资助项目(51777119)

参考文献

收起

文献

收起

参考文献引证文献

排序方式：

[1]

薛林燚, 牟龙华, 徐瑞洁. 谐波分量注入式微电网控保协同技术研究[J]. 电源学报, 2025, 23(8): 115-123. Xue Linyi, Mu Longhua, Xu Ruijie. Research on control-protection coordination technology for microgrids based on harmonic component injection[J]. Journal of Power Supply, 2025, 23(8): 115-123. (in Chinese)

[2]

曹武, 刘康礼, 江楠, 等. 有源滤波过采样数字滞环电流跟踪控制方法[J]. 电力系统自动化, 2014, 38(6): 85-90. Cao Wu, Liu Kangli, Jiang Nan, et al. Control method for APF hysteresis-band current tracking based on digital over-sampling[J]. Automation of Electric Power Systems, 2014, 38(6): 85-90. (in Chinese)

[3]

万钰锡, 李寅, 林顺富. 基于谐波状态空间多变流器并网系统建模及稳定性分析[J]. 电源学报, 2025, 23(3): 4-14. Wan Yuxi, Li Yin, Lin Shunfu. Modeling and stability analysis of multiple grid-connected-converter system based on harmonic state space[J]. Journal of Power Supply, 2025, 23(3): 4-14. (in Chinese)

[4]

Emanuel A, Mceachern A. Electric power definetions: A debate[C]//2013 IEEE Power & Energy Society General Meeting. Piscataway, Vancouver, Canada, 2013: 21-25.

[5]

高倩, 陈晓英, 孙丽颖. 基于稀疏表示的TQWT在低频振荡信号去噪中应用[J]. 电力系统保护与控制, 2016, 44(13): 55-60. Gao Qian, Chen Xiaoying, Sun Liying. Low frequency oscillating signals denoising based on TQWT via sparse representation[J]. Power System Protection and Control, 2016, 44(13): 55-60. (in Chinese)

[6]

尹杰, 刘博, 孙国兵, 等. 基于迁移学习和降噪自编码器-长短时间记忆的锂离子电池剩余寿命预测[J]. 电工技术学报, 2024, 39(1): 289-302. Yin Jie, Liu Bo, Sun guobing, et al. Transfer learning denoising autoencoder-long short term memory for remaining useful life prediction of Li-ion batteries[J]. Transactions of China Electrotechnical Society, 2024, 39(1): 289-302. (in Chinese)

[7]

樊艳芳, 王永进. 基于Hilbert能量幅值信息和波形信息的特高压直流输电线路单端保护方法[J]. 电工技术学报, 2021, 36(9): 1818-1830. Fan Yanfang, Wang Yongjin. Single-ended protection method for UHVDC transmission line based on Hilbert energy amplitude information and waveform information[J]. Transactions of China Electrotechnical Society, 2021, 36(9): 1818-1830. (in Chinese)

[8]

龚静. 电能质量信号去噪中小波选取特点的研究[J]. 电测与仪表, 2022, 59(5): 129-135. Gong Jing. Research on the characteristics of wavelet selection in power quality signal de-noising[J]. Electrical Measurement & Instrumentation, 2022, 59(5): 129-135. (in Chinese)

[9]

胡立聪, 卢闻州, 王尉, 等. 非理想电网下并网变换器频率自适应特定次谐波重复控制策略[J]. 电源学报, 2025, 23(6): 114-122. Hu Licong, Lu Wenzhou, Wang Wei, et al. Frequency self-adaptive and selective-order harmonic repetitive control strategy for grid-connected converter under nonideal grid conditions[J]. Journal of Power Supply, 2025, 23(6): 114-122. (in Chinese)

[10]

张鹏, 齐波, 张若愚, 等. 基于经验小波变换和梯度提升径向基的变压器油中溶解气体预测方法[J]. 电网技术, 2021, 45(9): 3745-3754. Zhang Peng, Qi Bo, Zhang Ruoyu, et al. Dissolved gas prediction in transformer oil based on empirical wavelet transform and gradient boosting radial basis[J]. Power System Technology, 2021, 45(9): 3745-3754. (in Chinese)

[11]

陈蓉, 杨勇. 基于多孔分数阶小波变换的谐波检测新方法[J]. 电测与仪表, 2023, 60(11): 142-150, 157. Chen Rong, Yang Yong. A novel method for harmonic detection based on fractional wavelet transform with A trous algorithm[J]. Electrical Measurement & Instrumentation, 2023, 60(11): 142-150, 157. (in Chinese)

[12]

Angulo I, Arrinda A, Fernández I, et al. A review on measurement techniques for non-intentional emissions above 2 kHz[C]//2016 IEEE International Energy Conference (ENERGYCON). Leuven, Belgium, 2016: 1-5.

[13]

祁永胜, 李凯, 高畅毓, 等. 三相电压不平衡下DDSRF-PLL与DSOGI-PLL的锁相误差检测与补偿方法[J]. 电工技术学报, 2024, 39(2): 567-579. Qi Yongsheng, Li Kai, Gao Changyu, et al. Phase estimation error detection and compensation method of DDSRF-PLL and DSOGI-PLL under three-phase voltage unbalance[J]. Transactions of China Electrotechnical Society, 2024, 39(2): 567-579. (in Chinese)

[14]

IEC 61000-4-7, Electromagnetic compatibility (EMC)-Part 4-7: Testing and measurement techniques - General guide on harmonics and interharmonics measurements and instrumentation, for power supply systems and equipment connect thereto[S]. 2.0 ed., Geneva: International Electrotechnical Commission, 2008.

[15]

IEC 61000-4-30, Electromagnetic compatibility (EMC) -Part 4-30: Testing and measurement techniques - Power quality measurement methods[S]. 3.0 b ed., Geneva: International Electrotechnical Commission, 2015.

[16]

Klatt M, Meyer J, Schegner P. Comparison of measurement methods for the frequency range of 2 kHz to 150 kHz[C]//2014 16th International Conference on Harmonics and Quality of Power (ICHQP). Bucharest, Romania, 2014: 818-822.

[17]

Klatt M, Meyer J, Schegner P, et al. Emission levels above 2 kHz - Laboratory results and survey measurements in public low voltage grids[C]//22nd International Conference and Exhibition on Electricity Distribution (CIRED 2013). Stockholm, Sweden, 2013: 1-4.

[18]

姬鑫, 陈超波, 张彬彬, 等. 基于Prony算法的三电平逆变器开路故障诊断方法[J]. 电测与仪表, 2023, 60(8): 97-104. Ji Xin, Chen Chaobo, Zhang Binbin, et al. Open-circuit fault diagnosis method of three-level inverter based on Prony algorithm[J]. Electrical Measurement & Instrumentation, 2023, 60(8): 97-104. (in Chinese)

2026年第24卷第7期

PDF下载

引用本文

BibTeX

文章信息

doi: 10.13234/j.issn.2095-2805.2026.7.222

接收时间：2024-07-25
首发时间：2026-10-29
出版时间：2026-07-30

补充材料

相关文章

文章信息

作者

出版历史

收稿日期：2024-07-25
修回日期：2024-08-26
录用日期：2024-11-15

基金

National Natural Science Foundation of China(51777119)

国家自然科学基金资助项目(51777119)

作者信息

上海电力大学电气工程学院，上海　200090

通讯作者:

刘建锋（1968—　），男，通信作者，博士，副教授。研究方向：电力设备在线监测，数字化变电站智能设备。E-mail：bansen@sina.com。

参考文献

分享链接

https://castjournals.cast.org.cn/joweb/dyxb/CN/10.13234/j.issn.2095-2805.2026.7.222

分享至

全文二维码

扫描看全文

引用本文

BibTeX

本文的引用情况

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

关闭全屏

BibTeX
EndNote
RefWorks
TxT