含确定性分量和随机噪声分量的宽频带信号分解方法
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摘要
可再生能源发电、储能、电动汽车等基于电力电子变流器的并网设备快速增加导致配电网信号日趋复杂。将电力系统宽频带信号分为确定性分量和随机噪声分量,建立了电力系统宽频带信号模型,并基于此模型提出了一种宽频带信号分解方案。首先,应用鲁棒局部回归平滑滤波方法提取并过滤随机噪声分量;提出了基于均值和标准差估计的自适应阈值确定方法,用于分解随机噪声分量。然后,提出了基于间谐波子群频谱的自适应阈值确定方法,用于提取间谐波分量。最后,用无限脉冲响应滤波器组将确定性分量分解为独立的子信号,并基于泰勒傅里叶变换估计确定性分量的频率和相量,实现确定性信号的分解。仿真验证了所提方案能在低信噪比、系统频率动态变化等情况下实现间谐波分量的自适应捕获和宽频带信号的高精度分解并应用所提分解方案分析了实测电压信号。
With rapid increase of the grid-connected equipment based on power electronic converters(such as renewable energy generation,energy storages and electric vehicles),the electrical signals of distribution networks are becoming more and more complex.A wideband signal model of power systems is established,which is composed of deterministic components and stochastic noise components.Based on this signal model,a decomposition scheme for wideband signals is proposed.Firstly,the robust local regression smoothing method is used to extract and filter the stochastic noise components.A determination method for the adaptive threshold based on the estimation of mean and standard deviation is proposed,which is used to decompose the stochastic noise components.Then an adaptive threshold based on the spectrum of interharmonic sub-groups is built to detect the interharmonics.Finally,the Taylor-Fourier transform algorithm is used to estimate the parameters of deterministic components based on the independent sub-signals decomposed by the infinite impulse response filter bank.Simulation results show that the proposed scheme can achieve time-varying interharmonics detection and precise decomposition of wideband signals under the conditions of low signal to noise ratio and frequency dynamics,and the field voltage measurement is decomposed by using the proposed decomposition method.
With rapid increase of the grid-connected equipment based on power electronic converters(such as renewable energy generation,energy storages and electric vehicles),the electrical signals of distribution networks are becoming more and more complex.A wideband signal model of power systems is established,which is composed of deterministic components and stochastic noise components.Based on this signal model,a decomposition scheme for wideband signals is proposed.Firstly,the robust local regression smoothing method is used to extract and filter the stochastic noise components.A determination method for the adaptive threshold based on the estimation of mean and standard deviation is proposed,which is used to decompose the stochastic noise components.Then an adaptive threshold based on the spectrum of interharmonic sub-groups is built to detect the interharmonics.Finally,the Taylor-Fourier transform algorithm is used to estimate the parameters of deterministic components based on the independent sub-signals decomposed by the infinite impulse response filter bank.Simulation results show that the proposed scheme can achieve time-varying interharmonics detection and precise decomposition of wideband signals under the conditions of low signal to noise ratio and frequency dynamics,and the field voltage measurement is decomposed by using the proposed decomposition method.
引文
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[6]白志轩,肖先勇,张逸,等.计及谐波视在功率的谐波源识别方法[J].电力系统自动化,2017,41(8):11-15.DOI:10.7500/AEPS20160913008.BAI Zhixuan, XIAOXianyong, ZHANGYi, etal.Identification method of harmonic source considering harmonic apparent power[J].Automation of Electric Power Systems,2017,41(8):11-15.DOI:10.7500/AEPS20160913008.
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[8]SOLTANI H, DAVARI P, ZARE F,et al.Effects of modulation techniques on the input current interharmonics of adjustable speed drives[J].IEEE Transactions on Industrial Electronics,2018,65(1):167-178.
[9]CHAKIR M,KAMWA I,LE HUY.Extended C37.118.1PMU algorithms for joint tracking of fundamental and harmonic phasors in stressed power systems and microgrids[J].IEEE Transactions on Power Delivery,2014,29(3):1465-1480.
[10]刘昊,王猛,王昌吉,等.一种实时精确估计电力谐波和间谐波参数的方法[J].电力系统自动化,2014,38(20):90-95.DOI:10.7500/AEPS20140130003.LIU Hao,WANG Meng,WANG Changji,et al.A real-time accurate estimating method for electric power harmonics and inter-harmonics[J].Automation of Electric Power Systems,2014,38(20):90-95.DOI:10.7500/AEPS20140130003.
[11]JAIN S,JAIN P, SINGH S.A fast harmonic phasor measurement method for smart grid applications[J].IEEE Transactions on Smart Grid,2017,8(1):493-502.
[12]孙仲民,黄俊,杨健维,等.基于切比雪夫窗的电力系统谐波/间谐波高精度分析方法[J].电力系统自动化,2015,39(7):117-123.DOI:10.7500/AEPS20140929009.SUN Zhongmin,HUANG Jun,YANG Jianwei,et al.A high accuracy analysis method for harmonics and interharmonics in power systems based on Dolph-Chebyshev windows[J].Automation of Electric Power Systems, 2015, 39(7):117-123.DOI:10.7500/AEPS20140929009.
[13]ZHONG Z, XU C, BILLIAN B,et al.Power system frequency monitoring network(FNET)implementation[J].IEEE Transactions on Power Systems, 2005, 20(4):1914-1921.
[14]张恒旭,靳宗帅,刘玉田.轻型广域测量系统及其在中国的应用[J].电力系统自动化,2014,38(22):85-90.DOI:10.7500/AEPS20131109004.ZHANG Hengxu,JIN Zongshuai,LIU Yutian.Wide-area measurement system light and its application in China[J].Automation of Electric Power Systems,2014,38(22):85-90.DOI:10.7500/AEPS20131109004.
[15]王宾,孙华东,张道农.配电网信息共享与同步相量测量应用技术评述[J].中国电机工程学报,2015,35(增刊1):1-7.WANG Bin,SUN Huadong,ZHANG Daonong.Review on data sharing and synchronized phasor measurement technique with application in distribution systems[J].Proceedings of the CSEE,2015,35(Supplement1):1-7.
[16]王禹,于淼,彭勇刚,等.频域谐波分析算法的新解释及其推广[J].电力系统自动化,2017,41(20):70-77.DOI:10.7500/AEPS20170517016.WANG Yu, YU Miao, PENG Yonggang,et al.New explanation of frequency domain methods for harmonic analysis and its generalization[J].Automation of Electric Power Systems, 2017, 41(20):70-77. DOI:10.7500/AEPS20170517016.
[17]CHEN C,CHEN Y.Comparative study of harmonic and interharmonic estimation methods for stationary and timevaryingsignals[J]. IEEETransactionsonIndustrial Electronics,2014,61(1):397-404.
[18]于静文,薛蕙,温渤婴.基于卡尔曼滤波的电能质量分析方法综述[J].电网技术,2010,34(2):97-103.YU Jingwen,XUE Hui,WEN Boying.A survey on Kalman filtering based methods for power quality analysis[J].Power System Technology,2010,34(2):97-103.
[19]CASTELLO P,LIU J,MUSCAS C,et al.A fast and accurate PMU algorithm for P+M class measurement of synchrophasor and frequency[J].IEEE Transactions on Instrumentation and Measurement,2014,63(12):2837-2845.
[20]WANG G,WU M,LI H,et al.Transient based protection for HVDClinesusingwavelet-multiresolutionsignal decomposition[C]//IEEE/PES Transmission&Distribution Conference&Exposition:Asia and Pacific,August 18,2005,Dalian,China.
[21]SARATHI R, CHANDRASEKAR S, YOSHIMURA N.Investigations into the surface condition of silicone rubber insulation material using multiresolution signal decomposition[J].IEEE Transactions on Power Delivery,2006,21(1):243-252.
[22]YI Z,ETEMADI A.Fault detection for photovoltaic systems based on multi-resolution signal decomposition and fuzzy inference systems[J].IEEE Transactions on Smart Grid,2017,8(3):1274-1283.
[23]DE-AGUIAR E,MARQUES G,DUQUE A,et al.Signal decomposition with reduced complexity for classification of isolated and multiple disturbances in electric signals[J].IEEE Transactions on Power Delivery,2009,24(4):2459-2460.
[24]CLEVELAND W.Robust locally weighted regression and smoothing scatterplots[J].Journal of the American Statistical Association,1979,74:829-836.
[25]JIN Z,ZHANG H,SHI F,et al.A robust and adaptive detection scheme for interharmonics in active distribution network[J].IEEE Transactions on Power Delivery,2018,33(5):2524-2534.
[26]SERNA J.Reducing the delay of phasor estimates under power system oscillations[J].IEEE Transactions on Instrumentation and Measurement,2007,56(6):2271-2278.
[27]JAIN S,SINGH N.Exact model order ESPRIT technique for harmonicsandinterharmonicsestimation[J]. IEEE Transactions on Instrumentation and Measurement,2012,61(7):1915-1923.
[28]HUI J, WU W,YANG H.A method to determine the existence of genuine interharmonics[J].IEEE Transactions on Power Delivery,2012,27(3):1690-1692.
[29]IEEE.IEEE standard for synchrophasor measurements for power systems:IEEE Std C37.118.1—2011[S].2018.
[2]LIU H,BI T,CHANG X,et al.Impacts of subsynchronous and supersynchronous frequency components on synchrophasor measurements[J].Journal of Modern Power Systems and Clean Energy,2016,4(3):362-369.
[3]王晖,李莹,李文锋,等.并网逆变器复合电流环引起次/超同步振荡机理研究[J].电网技术,2017,41(4):1061-1067.WANG Hui,LI Ying,LI Wenfeng,et al.Mechanism research of subsynchronous and supersynchronous oscillations caused by compound current loop of grid-connected inverter[J].Power System Technology,2017,41(4):1061-1067.
[4]解宝,周林,郝高锋,等.考虑电网阻抗影响的光伏并网逆变器稳定性与谐振分析及设计[J].中国电机工程学报,2018,38(22):6662-6670.XIE Bao,ZHOU Lin,HAO Gaofeng,et al.Stability and resonance analysis and design of photovoltaic grid-connected inverters with effect of grid impedance[J].Proceedings of the CSEE,2018,38(22):6662-6670.
[5]李杨,程莹,刘洋,等.基于奇异值分解理论的谐波放大分析方法[J].电力系统自动化,2017,41(8):16-21.DOI:10.7500/AEPS20161206001.LI Yang,CHENG Ying,LIU Yang,et al.Analytic method of harmonic amplification based on singular value decomposition theory[J].Automation of Electric Power Systems,2017,41(8):16-21.DOI:10.7500/AEPS20161206001.
[6]白志轩,肖先勇,张逸,等.计及谐波视在功率的谐波源识别方法[J].电力系统自动化,2017,41(8):11-15.DOI:10.7500/AEPS20160913008.BAI Zhixuan, XIAOXianyong, ZHANGYi, etal.Identification method of harmonic source considering harmonic apparent power[J].Automation of Electric Power Systems,2017,41(8):11-15.DOI:10.7500/AEPS20160913008.
[7]董伟杰,白晓民,朱宁辉,等.间歇式电源并网环境下电能质量问题研究[J].电网技术,2013,37(5):1265-1271.DONG Weijie,BAI Xiaomin,ZHU Ninghui,et al.Discussion on the power quality under grid-connection of intermittent power sources[J].Power System Technology, 2013, 37(5):1265-1271.
[8]SOLTANI H, DAVARI P, ZARE F,et al.Effects of modulation techniques on the input current interharmonics of adjustable speed drives[J].IEEE Transactions on Industrial Electronics,2018,65(1):167-178.
[9]CHAKIR M,KAMWA I,LE HUY.Extended C37.118.1PMU algorithms for joint tracking of fundamental and harmonic phasors in stressed power systems and microgrids[J].IEEE Transactions on Power Delivery,2014,29(3):1465-1480.
[10]刘昊,王猛,王昌吉,等.一种实时精确估计电力谐波和间谐波参数的方法[J].电力系统自动化,2014,38(20):90-95.DOI:10.7500/AEPS20140130003.LIU Hao,WANG Meng,WANG Changji,et al.A real-time accurate estimating method for electric power harmonics and inter-harmonics[J].Automation of Electric Power Systems,2014,38(20):90-95.DOI:10.7500/AEPS20140130003.
[11]JAIN S,JAIN P, SINGH S.A fast harmonic phasor measurement method for smart grid applications[J].IEEE Transactions on Smart Grid,2017,8(1):493-502.
[12]孙仲民,黄俊,杨健维,等.基于切比雪夫窗的电力系统谐波/间谐波高精度分析方法[J].电力系统自动化,2015,39(7):117-123.DOI:10.7500/AEPS20140929009.SUN Zhongmin,HUANG Jun,YANG Jianwei,et al.A high accuracy analysis method for harmonics and interharmonics in power systems based on Dolph-Chebyshev windows[J].Automation of Electric Power Systems, 2015, 39(7):117-123.DOI:10.7500/AEPS20140929009.
[13]ZHONG Z, XU C, BILLIAN B,et al.Power system frequency monitoring network(FNET)implementation[J].IEEE Transactions on Power Systems, 2005, 20(4):1914-1921.
[14]张恒旭,靳宗帅,刘玉田.轻型广域测量系统及其在中国的应用[J].电力系统自动化,2014,38(22):85-90.DOI:10.7500/AEPS20131109004.ZHANG Hengxu,JIN Zongshuai,LIU Yutian.Wide-area measurement system light and its application in China[J].Automation of Electric Power Systems,2014,38(22):85-90.DOI:10.7500/AEPS20131109004.
[15]王宾,孙华东,张道农.配电网信息共享与同步相量测量应用技术评述[J].中国电机工程学报,2015,35(增刊1):1-7.WANG Bin,SUN Huadong,ZHANG Daonong.Review on data sharing and synchronized phasor measurement technique with application in distribution systems[J].Proceedings of the CSEE,2015,35(Supplement1):1-7.
[16]王禹,于淼,彭勇刚,等.频域谐波分析算法的新解释及其推广[J].电力系统自动化,2017,41(20):70-77.DOI:10.7500/AEPS20170517016.WANG Yu, YU Miao, PENG Yonggang,et al.New explanation of frequency domain methods for harmonic analysis and its generalization[J].Automation of Electric Power Systems, 2017, 41(20):70-77. DOI:10.7500/AEPS20170517016.
[17]CHEN C,CHEN Y.Comparative study of harmonic and interharmonic estimation methods for stationary and timevaryingsignals[J]. IEEETransactionsonIndustrial Electronics,2014,61(1):397-404.
[18]于静文,薛蕙,温渤婴.基于卡尔曼滤波的电能质量分析方法综述[J].电网技术,2010,34(2):97-103.YU Jingwen,XUE Hui,WEN Boying.A survey on Kalman filtering based methods for power quality analysis[J].Power System Technology,2010,34(2):97-103.
[19]CASTELLO P,LIU J,MUSCAS C,et al.A fast and accurate PMU algorithm for P+M class measurement of synchrophasor and frequency[J].IEEE Transactions on Instrumentation and Measurement,2014,63(12):2837-2845.
[20]WANG G,WU M,LI H,et al.Transient based protection for HVDClinesusingwavelet-multiresolutionsignal decomposition[C]//IEEE/PES Transmission&Distribution Conference&Exposition:Asia and Pacific,August 18,2005,Dalian,China.
[21]SARATHI R, CHANDRASEKAR S, YOSHIMURA N.Investigations into the surface condition of silicone rubber insulation material using multiresolution signal decomposition[J].IEEE Transactions on Power Delivery,2006,21(1):243-252.
[22]YI Z,ETEMADI A.Fault detection for photovoltaic systems based on multi-resolution signal decomposition and fuzzy inference systems[J].IEEE Transactions on Smart Grid,2017,8(3):1274-1283.
[23]DE-AGUIAR E,MARQUES G,DUQUE A,et al.Signal decomposition with reduced complexity for classification of isolated and multiple disturbances in electric signals[J].IEEE Transactions on Power Delivery,2009,24(4):2459-2460.
[24]CLEVELAND W.Robust locally weighted regression and smoothing scatterplots[J].Journal of the American Statistical Association,1979,74:829-836.
[25]JIN Z,ZHANG H,SHI F,et al.A robust and adaptive detection scheme for interharmonics in active distribution network[J].IEEE Transactions on Power Delivery,2018,33(5):2524-2534.
[26]SERNA J.Reducing the delay of phasor estimates under power system oscillations[J].IEEE Transactions on Instrumentation and Measurement,2007,56(6):2271-2278.
[27]JAIN S,SINGH N.Exact model order ESPRIT technique for harmonicsandinterharmonicsestimation[J]. IEEE Transactions on Instrumentation and Measurement,2012,61(7):1915-1923.
[28]HUI J, WU W,YANG H.A method to determine the existence of genuine interharmonics[J].IEEE Transactions on Power Delivery,2012,27(3):1690-1692.
[29]IEEE.IEEE standard for synchrophasor measurements for power systems:IEEE Std C37.118.1—2011[S].2018.
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