基于改进HHT的谐波电流检测方法A harmonic current detection method based on improved HHT
张炜生,张国有,关富敏,刘友强,陈晓,柯威帆,郭成
ZHANG Weisheng,ZHANG Guoyou,GUAN Fumin,LIU Youqiang,CHEN Xiao,KE Weifan,GUO Cheng
摘要(Abstract):
针对HHT(希尔伯特-黄变换)进行谐波电流检测时出现的端点效应与模态混叠问题,提出一种改进HHT的谐波电流检测方法。首先,采用改进的波形匹配端点延拓法与MEEMD(改进的集合经验模态分解)方法,对待检测谐波电流信号进行延拓并分解,得到一系列IMF(本征模态函数),然后对各IMF进行HT(希尔伯特变换),得到各IMF的瞬时频率与瞬时幅值,最后求平均值即可得到各次谐波电流幅值与频率信息。通过仿真分析,验证了该方法可解决HHT进行谐波电流检测时出现的端点效应与模态混叠问题。
To resolve the endpoint effects and mode mixing(MM) that arise during harmonic current detection using Hilbert-Huang Transform(HHT), an improved harmonic current detection method based on HHT is proposed.First, the paper employs an enhanced waveform matching endpoint extension method along with the modified ensemble empirical mode decomposition(MEEMD) technique to extend and decompose the harmonic current signal under detection. This process yields a series of intrinsic mode functionality(IMF). Next, the Hilbert Transform(HT) is applied to each IMF to obtain their instantaneous frequencies and amplitudes. Finally, by averaging these results, the amplitude and frequency information for each harmonic current component are extracted. Simulation analyses confirm that this method effectively resolves the endpoint effects and mode mixing encountered in HHTbased harmonic current detection.
关键词(KeyWords):
谐波电流检测;经验模态分解;模态混叠;端点效应;波形延拓
harmonic current detection;empirical mode decomposition;MM;endpoint effects;waveform extension
基金项目(Foundation): 云南省联合基金重点项目(202201BE070001-15)
作者(Author):
张炜生,张国有,关富敏,刘友强,陈晓,柯威帆,郭成
ZHANG Weisheng,ZHANG Guoyou,GUAN Fumin,LIU Youqiang,CHEN Xiao,KE Weifan,GUO Cheng
DOI: 10.19585/j.zjdl.202502009
参考文献(References):
- [1]张俨,彭志炜,雷章勇,等.微电网谐波源危害及谐波检测技术[J].电网与清洁能源,2017,33(6):27-35.ZHANG Yan,PENG Zhiwei,LEI Zhangyong,et al.Harmonic source hazard and harmonic detection technology in microgrid[J].Power System and Clean Energy,2017,33(6):27-35.
- [2]周杰,刘傲洋,罗皓文,等.虚拟同步机接入弱电网的电能质量新问题及谐波抑制方法[J].智慧电力,2021,49(2):83-90.ZHOU Jie,LIU Aoyang,LUO Haowen,et al.Power quality issues and harmonic suppression method of virtual synchronous generator connected to weak grid[J]. Smart Power,2021,49(2):83-90.
- [3]李叶飞,马昊燕,苗光尧,等.清洁低碳能源电网共享用电终端设备电能计量研究[J].电网与清洁能源,2023,51(12):115-120.LI Yefei,MA Haoyan,MIAO Guangyao,et al.Research on electric energy metering of the shared electricity terminal equipment in the clean and low-carbon energy grid[J].Power System and Clean Energy,2023,51(12):115-120.
- [4]徐斌,甄超,王小明,等.大功率冲击性负荷低频间谐波检测方法[J].电力电容器与无功补偿,2023,44(3):65-71.XU Bin,ZHEN Chao,WANG Xiaoming,et al.Detection method for low freuency interharmonics under high power impact load[J].Power Capacitor&Reactive Power Compensation,2023,44(3):65-71.测量值EEMD本文方法频率/Hz幅值/A频率/Hz幅值/A18.603 40.679 019.820 30.685 449.760 95.097 450.052 15.550 3149.067 12.905 4150.048 53.137 8343.880 90.986 3350.196 21.121 9
- [5]贺彦强,王英,陈小强,等.计及特征次谐波治理的铁路网侧储能系统控制策略[J].中国电力,2022,55(7):33-41.HE Yanqiang,WANG Ying,CHEN Xiaoqiang,et al.Energy storage control strategy of railway network side considering characteristic harmonic control[J].Electric Power,2022,55(7):33-41.
- [6]王玉斌,吕燕,田召广,等.谐波抑制与无功补偿装置控制技术的进展[J].电测与仪表,2006,43(4):1-4.WANG Yubin,LYU Yan,TIAN Zhaoguang,et al. Improvement of the control technique for the harmonic suppression and reactive compensation device[J]. Electrical Measurement&Instrumentation,2006,43(4):1-4.
- [7]张乐乐,王海云,王维庆.基于CEEMDAN和HT的谐波检测新方法[J].电测与仪表,2023,60(5):147-152.ZHANG Lele,WANG Haiyun,WANG Weiqing.A novel harmonic detection method based on CEEMDAN and HT[J].Electrical Measurement&Instrumentation,2023,60(5):147-152.
- [8]付克勤,游文钧,杨子康,等.电力系统谐波源及谐波检测方法研究[J].电测与仪表,2014,51(12):81-86.FU Keqin,YOU Wenjun,YANG Zikang,et al.Research of power system harmonic source and harmonic detection method[J]. Electrical Measurement&Instrumentation,2014,51(12):81-86.
- [9]陈和洋,吴文宣,郑文迪,等.电力系统谐波检测方法综述[J].电气技术,2019,20(9):1-6.CHEN Heyang,WU Wenxuan,ZHENG Wendi,et al.Reviews of power system harmonic measurement methods[J].Electrical Engineering,2019,20(9):1-6.
- [10]周军,李永祥,任佳鹏.基于MEEMD与HT的谐波检测方法[J].电力系统及其自动化学报,2023,35(6):73-82.ZHOU Jun,LI Yongxiang,REN Jiapeng.Harmonic detection method based on modified ensemble empirical mode decomposition and Hilbert transform[J]. Proceedings of the CSU-EPSA,2023,35(6):73-82.
- [11]王喆,严欢,邰克强,等.逆变器并网系统谐振特性及预防措施[J].电网与清洁能源,2023,51(7):99-107.WANG Zhe,YAN Huan,TAI Keqiang,et al.Resonance characteristics and prevention measures for grid-connected inverter systems[J]. Power System and Clean Energy,2023,51(7):99-107.
- [12]康维,李宁,张建文,等.一种改进FFT多谱线插值谐波分析方法[J].电测与仪表,2016,53(10):8-15.KANG Wei,LI Ning,ZHANG Jianwen,et al. An improved harmonic analysis algorithm of multi-spectrum-line interpolation FFT[J]. Electrical Measurement&Instrumentation,2016,53(10):8-15.
- [13]肖厦颖,李开成,王凌云,等.一种基于小波包变换的电力系统谐波检测方法[J].电测与仪表,2017,54(24):1-6.XIAO Xiaying,LI Kaicheng,WANG Lingyun,et al. A harmonic detection method for power system based on wavelet packet transform[J]. Electrical Measurement&Instrumentation,2017,54(24):1-6.
- [14]张敢,施火泉,饶琨.基于HHT谐波与间谐波检测研究[J].电源学报,2019,17(4):155-161.ZHANG Gan,SHI Huoquan,RAO Kun.Research on Detection of Harmonics and Inter-harmonics Based on HHT[J].Journal of Power Supply,2019,17(4):155-161.
- [15]张俨,彭志炜,雷章勇,等.微电网谐波源危害及谐波检测技术[J].电网与清洁能源,2017,33(6):27-35.ZHANG Yan,PENG Zhiwei,LEI Zhangyong,et al.Harmonic source hazard and harmonic detection technology in microgrid[J].Power System and Clean Energy,2017,33(6):27-35.
- [16]关维国,姚清志,鲁宝春.微电网HHT谐波检测与时频分析方法[J].计算机工程与应用,2015,51(20):198-202.GUAN Weiguo,YAO Qingzhi,LU Baochun. HHT harmonic detection and time-frequency analysis method in microgrid[J].Computer Engineering and Applications,2015,51(20):198-202.
- [17]郝如江,李非.EMD端点效应抑制方法[J].振动.测试与诊断,2018,38(2):341-345.HAO Rujiang,LI Fei. A New method to suppress the EMD endpoint effect[J]. Journal of Vibration,Measurement&Diagnosis,2018,38(2):341-345.
- [18]丰少伟,柴凯,杨云生.基于SVRM极值延拓的EMD端点效应抑制方法[J].兵工自动化,2024,43(3):32-37.FENG Shaowei,CHAI Kai,YANG Yunsheng.EMD end effect suppression method based on SVRM extremum extension[J].Ordnance Industry Automation,2024,43(3):32-37.
- [19]曹莹,段玉波,刘继承.Hilbert-Huang变换中的模态混叠问题[J].振动.测试与诊断,2016,36(3):518-523.CAO Ying,DUAN Yubo,LIU inherited. Research and application of mode-mixing in hilbert-huang transform[J].Journal of Vibration,Measurement&Diagnosis,2016,36(3):518-523.
- [20]孙曙光,庞毅,刘建强.基于Hilbert频移的EEMD谐波检测方法[J].电力系统保护与控制,2017,45(15):85-91.SUN Shuguang,PANG Yi,LIU Jianqiang. EEMD harmonic detection method based on frequency shift of Hilbert[J].Power System Protection and Control,2017,45(15):85-91.
- [21]白浩,钟振鑫,李巍,等.基于CEEMD和NTEO的故障行波定位方法[J].电力系统保护与控制,2022,50(20):50-59.BAI Hao,ZHONG Zhenxin,LI Wei,et al.A fault traveling wave location method based on CEEMD and NTEO[J].Power System Protection and Control,2022,50(20):50-59.
- [22]李文华,姜惠,赵正元,等.基于波形匹配端点延拓法优化的经验模态分解算法在铁路继电器参数降噪上的应用[J].电工技术学报,2022,37(10):2656-2664.LI Wenhua,JIANG Hui,ZHAO Zhengyuan,et al.Application of empirical mode decomposition algorithm based on waveform matching endpoint continuation method in noise reduction of railway relay parameters[J]. Transactions of China Electrotechnical Society,2022,37(10):2656-2664.
- [23]梁黎明,王茂芝,徐文皙,等.综合斜率和三次样条的EMD端点效应抑制方法[J].振动与冲击,2022,41(14):70-76.LIANG Liming,WANG Maozhi,XU Wenxi,et al. Restriction of the end effect of EMD by utilizing slope and cubic spline based methods[J]. Journal of Vibration and Shock,2022,41(14):70-76.
- [24]孙浩然,岳建平.一种抑制边界效应的EMD方法及其在滑坡监测中的应用[J].测绘通报,2021(5):77-80.SUN Haoran,YUE Jianping. An EMD method to suppress boundary effect and its application in landslide monitoring[J].Bulletin of Surveying and Mapping,2021(5):77-80.
- 谐波电流检测
- 经验模态分解
- 模态混叠
- 端点效应
- 波形延拓
harmonic current detection - empirical mode decomposition
- MM
- endpoint effects
- waveform extension