密集型谐波检测的压缩采样方法
|
摘要
压缩采样已成为电力系统中复杂谐波畸变信号实时采集和密集检测的发展趋势。文中针对谐波和间谐波检测,提出一种新型压缩采样检测方法。分析得到稀疏度的相关定理和推论,提出多重提取梯度追踪(MEGP)算法,提升谐波分量、特别是间谐波分量的检测精度。考虑频谱泄漏影响,构造窗稀疏测量(WSM)矩阵,生成简单且对所有分量有效。实验表明,MEGP算法至少可将频率、幅值、相位检测精度分别提升0.000 53Hz、0.011 2个百分点和0.071°,WSM矩阵则可将信噪比提升约30dB。所提压缩采样检测方法对频率、幅值和相位的检测误差在0.004 03 Hz、0.001 73%和0.037 221°以内,满足国家标准要求。
Compressive sampling has become the development trend of real-time acquisition and dense detection of complex harmonic distortion signal in power systems.In view of the problems in harmonic and inter-harmonic detection,this paper proposes a new detective method with compressive sampling.By analyzing the related theorems and corollaries for obtaining sparsity degree,the multiple-extraction gradient pursuit(MEGP)algorithm is proposed to promote detective precision of harmonic components,especially the inter-harmonic components.Considering the spectrum leakage,a window sparse measure(WSM)matrix is created,which is generated simply and effective for all components.Results of experiments show that the MEGP algorithm is able to promote 0.00053,0.011 2% and 0.071°of detective precision for frequency,amplitude and phase,respectively,while the WSM matrix is able to promote the signal to noise ratio(SNR)about 30 dB.The detective errors of frequency,amplitude and phase by compressive-sampling detective method are within 0.004 03 Hz,0.001 73% and0.037 221°,respectively,which totally meets the demand of the national standards.
Compressive sampling has become the development trend of real-time acquisition and dense detection of complex harmonic distortion signal in power systems.In view of the problems in harmonic and inter-harmonic detection,this paper proposes a new detective method with compressive sampling.By analyzing the related theorems and corollaries for obtaining sparsity degree,the multiple-extraction gradient pursuit(MEGP)algorithm is proposed to promote detective precision of harmonic components,especially the inter-harmonic components.Considering the spectrum leakage,a window sparse measure(WSM)matrix is created,which is generated simply and effective for all components.Results of experiments show that the MEGP algorithm is able to promote 0.00053,0.011 2% and 0.071°of detective precision for frequency,amplitude and phase,respectively,while the WSM matrix is able to promote the signal to noise ratio(SNR)about 30 dB.The detective errors of frequency,amplitude and phase by compressive-sampling detective method are within 0.004 03 Hz,0.001 73% and0.037 221°,respectively,which totally meets the demand of the national standards.
引文
[1]曾博,杨雍琦,段金辉,等.新能源电力系统中需求侧响应关键问题及未来研究展望[J].电力系统自动化,2015,39(17):10-18.DOI:10.7500/AEPS20150408010.ZENG Bo,YANG Yongqi,DUAN Jinhui,et al.Key issues and research prospects for demand-side response in alternate electrical power systems with renewable energy sources[J].Automation of Electric Power Systems,2015,39(17):10-18.DOI:10.7500/AEPS20150408010.
[2]王超,张东来,张斌,等.电力系统周期性数据大比率压缩算法[J].电力系统自动化,2009,33(24):34-37.WANG Chao,ZHANG Donglai,ZHANG Bin,et al.A large ratio data compression method for power system periodical signals[J].Automation of Electric Power Systems,2009,33(24):34-37.
[3]贾毅婷,张东来,张斌.基于小波尺度相关性的暂态数据降噪压缩方法[J].电力系统自动化,2013,37(5):68-73.JIA Yiting,ZHANG Donglai,ZHANG Bin.Power quality disturbance data denoising and compression using signal’s scaledependencies of wavelet coefficients[J].Automation of Electric Power Systems,2013,37(5):68-73.
[4]张磊,朱凌志,陈宁,等.新能源发电模型统一化研究[J].电力系统自动化,2015,39(24):129-138.DOI:10.7500/AEPS20150629010.ZHANG Lei,ZHU Lingzhi,CHEN Ning,et al.Review on generic model for renewable energy generation[J].Automation of Electric Power Systems,2015,39(24):129-138.DOI:10.7500/AEPS20150629010.
[5]钟清,高新华,余南华,等.谐波约束下的主动配电网分布式电源准入容量与接入方式[J].电力系统自动化,2014,38(24):108-113.DOI:10.7500/AEPS20131214002.ZHONG Qing,GAO Xinhua,YU Nanhua,et al.Accommodating capacity and mode of distributed generation under harmonic constraint in active distribution networks[J].Automation of Electric Power Systems,2014,38(24):108-113.DOI:10.7500/AEPS20131214002.
[6]DONOHO D L.Compressed sensing[J].IEEE Trans on Information Theory,2006,52(4):1289-1306.
[7]CANDE J,WAKIN M B.An introduction to compressive sampling[J].IEEE Trans on Signal Processing Magazine,2008,25(2):21-30.
[8]王学伟,王琳,苗桂君,等.暂态和短时电能质量扰动信号压缩采样与重构方法[J].电网技术,2012,36(3):191-196.WANG Xuewei,WANG Lin,MIAO Guijun,et al.An approach for compressive sampling and reconstruction of transient and short-time power quality disturbance signals[J].Power System Technology,2012,36(3):191-196.
[9]朱云芳,戴朝华,陈维荣,等.压缩感知理论及其电能质量应用与展望[J].电力系统及其自动化学报,2015,27(1):80-85.ZHU Yunfang,DAI Chaohua,CHEN Weirong,et al.Present status and prospect on compressed sensing in power systems[J].Proceedings of the CSU-EPSA,2015,27(1):80-85.
[10]田霄,贺建军,喻寿益.基于压缩感知理论的谐波畸变电压信号采集方法研究[J].电工电能新技术,2014,33(11):61-64.TIAN Xiao,HE Jianjun,YU Shouyi.Study on harmonic distortion of voltage signal acquisition method based on compressed sensing theory[J].Advanced Technology of Electrical Engineering and Energy,2014,33(11):61-64.
[11]SHEN Y,WU H,LIU G,et al.Study on identification of power quality disturbances based on compressive sensing[C]//11th World Congress on Intelligent Control and Automation(WCICA),June 29-July 4,2014,Shenyang,China:5550-5555.
[12]蒋伟,牟龙华.压缩感知理论在谐波检测中的运用[J].电力系统自动化,2015,39(7):111-116.DOI:10.7500/AEPS20140325015.JIANG Wei,MOU Longhua.Design of power system operation cockpit based on situation awareness technology[J].Automation of Electric Power Systems,2015,39(7):111-116.DOI:10.7500/AEPS20140325015.
[13]杨挺,袁博,徐明玉.基于压缩感知的微网谐波分析方法[J].天津大学学报(自然科学与工程技术版),2015,48(2):1014-1019.YANG Ting,YUAN Bo,XU Mingyu.Analysis method of harmonic in microgrid based on compressed sensing[J].Journal of Tianjin University(Science and Technology),2015,48(2):1014-1019.
[14]杨挺,袁博,武金成.谐波和间谐波的压缩感知恢复算法[J].中国电机工程学报,2015,35(21):5475-5482.YANG Ting,YUAN Bo,WU Jincheng.The restoration algorithm of compressed sensing to detect harmonic and interharmonic[J].Proceedings of the CSEE,2015,35(21):5475-5482.
[15]NEEDELL D,TROPP J A.CoSaMP:iterative signal recovery from incomplete and inaccurate samples[J].Applied and Computational Harmonic Analysis,2009,26(3):301-321.
[16]DAI W,MILENKOVIC O.Subspace pursuit for compressive sensing signal reconstruction[J].IEEE Trans on Information Theory,2009,55(5):2230-2249.
[17]BLUMENSATH T,DAVIES M.Iterative hard thresholding for compressed sensing[J].Applied and Computational Harmonic Analysis,2009,27(3):265-274.
[18]BLUMENSATH T,DAVIES M E.Gradient pursuits[J].IEEE Trans on Signal Processing,2008,56(6):2370-2382.
[19]王泽,杨洪耕,袁晓冬.IEC框架下非同步采样时的谐波和间谐波测量方法[J].电力系统自动化,2015,39(3):69-75.DOI:10.7500/AEPS20140119002.WANG Ze,YANG Honggeng,YUAN Xiaodong.Measuring method of harmonics and inter-harmonics with nonsynchronous sampling in IEC framework[J].Automation of Electric Power Systems,2015,39(3):69-75.DOI:10.7500/AEPS20140119002.
[20]曾博,滕召胜,温和,等.莱夫-文森特窗插值FFT谐波分析方法[J].中国电机工程学报,2009,29(10):115-120.ZENG Bo,TENG Zhaosheng,WEN He,et al.An approach for harmonic analysis based on rife-vincent window interpolation FFT[J].Proceedings of the CSEE,2009,29(10):115-120.
[2]王超,张东来,张斌,等.电力系统周期性数据大比率压缩算法[J].电力系统自动化,2009,33(24):34-37.WANG Chao,ZHANG Donglai,ZHANG Bin,et al.A large ratio data compression method for power system periodical signals[J].Automation of Electric Power Systems,2009,33(24):34-37.
[3]贾毅婷,张东来,张斌.基于小波尺度相关性的暂态数据降噪压缩方法[J].电力系统自动化,2013,37(5):68-73.JIA Yiting,ZHANG Donglai,ZHANG Bin.Power quality disturbance data denoising and compression using signal’s scaledependencies of wavelet coefficients[J].Automation of Electric Power Systems,2013,37(5):68-73.
[4]张磊,朱凌志,陈宁,等.新能源发电模型统一化研究[J].电力系统自动化,2015,39(24):129-138.DOI:10.7500/AEPS20150629010.ZHANG Lei,ZHU Lingzhi,CHEN Ning,et al.Review on generic model for renewable energy generation[J].Automation of Electric Power Systems,2015,39(24):129-138.DOI:10.7500/AEPS20150629010.
[5]钟清,高新华,余南华,等.谐波约束下的主动配电网分布式电源准入容量与接入方式[J].电力系统自动化,2014,38(24):108-113.DOI:10.7500/AEPS20131214002.ZHONG Qing,GAO Xinhua,YU Nanhua,et al.Accommodating capacity and mode of distributed generation under harmonic constraint in active distribution networks[J].Automation of Electric Power Systems,2014,38(24):108-113.DOI:10.7500/AEPS20131214002.
[6]DONOHO D L.Compressed sensing[J].IEEE Trans on Information Theory,2006,52(4):1289-1306.
[7]CANDE J,WAKIN M B.An introduction to compressive sampling[J].IEEE Trans on Signal Processing Magazine,2008,25(2):21-30.
[8]王学伟,王琳,苗桂君,等.暂态和短时电能质量扰动信号压缩采样与重构方法[J].电网技术,2012,36(3):191-196.WANG Xuewei,WANG Lin,MIAO Guijun,et al.An approach for compressive sampling and reconstruction of transient and short-time power quality disturbance signals[J].Power System Technology,2012,36(3):191-196.
[9]朱云芳,戴朝华,陈维荣,等.压缩感知理论及其电能质量应用与展望[J].电力系统及其自动化学报,2015,27(1):80-85.ZHU Yunfang,DAI Chaohua,CHEN Weirong,et al.Present status and prospect on compressed sensing in power systems[J].Proceedings of the CSU-EPSA,2015,27(1):80-85.
[10]田霄,贺建军,喻寿益.基于压缩感知理论的谐波畸变电压信号采集方法研究[J].电工电能新技术,2014,33(11):61-64.TIAN Xiao,HE Jianjun,YU Shouyi.Study on harmonic distortion of voltage signal acquisition method based on compressed sensing theory[J].Advanced Technology of Electrical Engineering and Energy,2014,33(11):61-64.
[11]SHEN Y,WU H,LIU G,et al.Study on identification of power quality disturbances based on compressive sensing[C]//11th World Congress on Intelligent Control and Automation(WCICA),June 29-July 4,2014,Shenyang,China:5550-5555.
[12]蒋伟,牟龙华.压缩感知理论在谐波检测中的运用[J].电力系统自动化,2015,39(7):111-116.DOI:10.7500/AEPS20140325015.JIANG Wei,MOU Longhua.Design of power system operation cockpit based on situation awareness technology[J].Automation of Electric Power Systems,2015,39(7):111-116.DOI:10.7500/AEPS20140325015.
[13]杨挺,袁博,徐明玉.基于压缩感知的微网谐波分析方法[J].天津大学学报(自然科学与工程技术版),2015,48(2):1014-1019.YANG Ting,YUAN Bo,XU Mingyu.Analysis method of harmonic in microgrid based on compressed sensing[J].Journal of Tianjin University(Science and Technology),2015,48(2):1014-1019.
[14]杨挺,袁博,武金成.谐波和间谐波的压缩感知恢复算法[J].中国电机工程学报,2015,35(21):5475-5482.YANG Ting,YUAN Bo,WU Jincheng.The restoration algorithm of compressed sensing to detect harmonic and interharmonic[J].Proceedings of the CSEE,2015,35(21):5475-5482.
[15]NEEDELL D,TROPP J A.CoSaMP:iterative signal recovery from incomplete and inaccurate samples[J].Applied and Computational Harmonic Analysis,2009,26(3):301-321.
[16]DAI W,MILENKOVIC O.Subspace pursuit for compressive sensing signal reconstruction[J].IEEE Trans on Information Theory,2009,55(5):2230-2249.
[17]BLUMENSATH T,DAVIES M.Iterative hard thresholding for compressed sensing[J].Applied and Computational Harmonic Analysis,2009,27(3):265-274.
[18]BLUMENSATH T,DAVIES M E.Gradient pursuits[J].IEEE Trans on Signal Processing,2008,56(6):2370-2382.
[19]王泽,杨洪耕,袁晓冬.IEC框架下非同步采样时的谐波和间谐波测量方法[J].电力系统自动化,2015,39(3):69-75.DOI:10.7500/AEPS20140119002.WANG Ze,YANG Honggeng,YUAN Xiaodong.Measuring method of harmonics and inter-harmonics with nonsynchronous sampling in IEC framework[J].Automation of Electric Power Systems,2015,39(3):69-75.DOI:10.7500/AEPS20140119002.
[20]曾博,滕召胜,温和,等.莱夫-文森特窗插值FFT谐波分析方法[J].中国电机工程学报,2009,29(10):115-120.ZENG Bo,TENG Zhaosheng,WEN He,et al.An approach for harmonic analysis based on rife-vincent window interpolation FFT[J].Proceedings of the CSEE,2009,29(10):115-120.