基于改进的SVD和Prony的谐波检测算法
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摘要
针对传统的Prony算法在谐波及间谐波检测过程中对噪声敏感,导致辨识精度不高的问题,提出了一种基于奇异值分解(Singular Value Decomposition,SVD)和Prony的改进算法。基于SVD理论,提出了一种奇异点辅助算法,自适应地选取奇异值分解的有效阶次,从而精确地滤除噪声信号。基于已确定的有效阶次,利用改进的Prony算法对滤除噪声之后的信号进行参数辨识,可以准确地估计出各个谐波及间谐波分量的参数。通过MATLAB仿真分析,表明算法能够准确地提取出电力信号的参数信息,具有一定的应用价值。
An improved algorithm based on singular value decomposition(SVD) and Prony is proposed to solve the problem that the traditional Prony algorithm is not very accurate because it is sensitive to noise during harmonic and inter-harmonic detection. Based on SVD theory, a singular point auxiliary algorithm is proposed to select the effective order of singular value decomposition adap-tively, so as to accurately filter out the noise signal. According to the exact effective order, the improved Prony algorithm is used to identify the parameters of the signal after noise elimination, and the parameters of each harmonic and its components can be es-timated accurately. Through MATLAB simulation analysis, it is shown that the algorithm can accurately extract the parameter infor-mation of power signal and has certain application value.
An improved algorithm based on singular value decomposition(SVD) and Prony is proposed to solve the problem that the traditional Prony algorithm is not very accurate because it is sensitive to noise during harmonic and inter-harmonic detection. Based on SVD theory, a singular point auxiliary algorithm is proposed to select the effective order of singular value decomposition adap-tively, so as to accurately filter out the noise signal. According to the exact effective order, the improved Prony algorithm is used to identify the parameters of the signal after noise elimination, and the parameters of each harmonic and its components can be es-timated accurately. Through MATLAB simulation analysis, it is shown that the algorithm can accurately extract the parameter infor-mation of power signal and has certain application value.
引文
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[5]李正明,徐敏,潘天红,等.基于小波变换和HHT的分布式并网系统谐波检测方法[J].电力系统保护与控制,2014,42(4):34-39.
[6]任子晖,刘昊岳,徐进霞.基于小波变换和改进Prony方法的电能质量扰动分析[J].电力系统保护与控制,2016,44(9):122-128.
[7]许伯强,田士华.SVD滤波技术与Prony谱线估计算法相结合的异步电动机转子故障检测新方法[J].电机与控制应用,2015,42(10):41-47.
[8]刘冬梅,杨重良,张艳,等.基于Nuttall自卷积窗四谱线插值FFT的电力谐波分析方法[J].合肥工业大学学报,2018,41(3):12-17.
[9]查翔,倪世宏,谢川,等.奇异值分解去噪中有效秩阶次的自身辅助确定[J].计算机应用研究,2016,33(5):1359-1362.
[10]熊杰锋.基于加窗插值和Prony的电力系统间谐波算法[J].电力系统保护与控制,2011,39(7):8-13,19.
[11]张贤达.现代信号处理[M].北京:清华大学出版社,2002.
[12]公茂法,蔡芬,刘俊杰,等.基于数学形态学和改进Prony算法的谐波与间谐波参数估计[J].电测与仪表,2018,55(11):25-29,40.
[13]GB/T 24337-2009,电能质量公用电网间谐波[S].2009.
[2]彭咏龙,张坤锋,李亚斌,等.基于自适应算法的谐波检测方法研究[J].电测与仪表,2018,55(9):6-9.
[3]Su Taixin,Yang Mingfa,Jin Tao,et al.Power harmonic and interharmonic detection method in renewable power based on Nuttall double-window all-phase FFT algorithm[J].IETRenewable Power Generation,2018,12(8):953-961.
[4]TSE N C F,CHAN J Y C,LAU W H,et al.Hybrid wavelet and hilbert transform with frequency-shifting decom position for power quality analysis[J].IEEE Transactions on Instrumentation and Measurement,2012,61(12):3225-3233.
[5]李正明,徐敏,潘天红,等.基于小波变换和HHT的分布式并网系统谐波检测方法[J].电力系统保护与控制,2014,42(4):34-39.
[6]任子晖,刘昊岳,徐进霞.基于小波变换和改进Prony方法的电能质量扰动分析[J].电力系统保护与控制,2016,44(9):122-128.
[7]许伯强,田士华.SVD滤波技术与Prony谱线估计算法相结合的异步电动机转子故障检测新方法[J].电机与控制应用,2015,42(10):41-47.
[8]刘冬梅,杨重良,张艳,等.基于Nuttall自卷积窗四谱线插值FFT的电力谐波分析方法[J].合肥工业大学学报,2018,41(3):12-17.
[9]查翔,倪世宏,谢川,等.奇异值分解去噪中有效秩阶次的自身辅助确定[J].计算机应用研究,2016,33(5):1359-1362.
[10]熊杰锋.基于加窗插值和Prony的电力系统间谐波算法[J].电力系统保护与控制,2011,39(7):8-13,19.
[11]张贤达.现代信号处理[M].北京:清华大学出版社,2002.
[12]公茂法,蔡芬,刘俊杰,等.基于数学形态学和改进Prony算法的谐波与间谐波参数估计[J].电测与仪表,2018,55(11):25-29,40.
[13]GB/T 24337-2009,电能质量公用电网间谐波[S].2009.