原子稀疏分解算法在电力系统扰动信号分析中的应用
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摘要
针对目前电力系统扰动信号分析中的一些不足,提出了一种基于原子分解的扰动信号分析方法。该方法根据电力系统信号特点,采用衰减正弦量模型构建原子库。以原子稀疏分解的基本理论为指导,应用匹配追踪算法进行迭代求解,得到相关原子参量。将所述方法应用于电力系统扰动信号分析中,能够自适应地从过完备原子库中建立信号的稀疏解析表示,克服了固定基信号分解模式的缺陷。典型算例仿真结果证明了算法的有效性和优越性。
An atomic decomposition based method is introduced to solve power system disturbance signal analysis problems.Considering the features of power system signals,the damped sinusoid atom is used to construct atom dictionary.The principle of sparse decomposition is referenced and the matching pursuit algorithm is applied to obtain the relevant parameters.Atomic decomposition is capable of adaptively representing signals in an over-complete dictionary of atoms with very sparse components rather than with fixed and complete basis as in conventional representations.Examples of applying this method to several typical power system disturbance analyses exhibit the validity and the great advantage. This work is supported by National Natural Science Foundation of China (No.50877069).
An atomic decomposition based method is introduced to solve power system disturbance signal analysis problems.Considering the features of power system signals,the damped sinusoid atom is used to construct atom dictionary.The principle of sparse decomposition is referenced and the matching pursuit algorithm is applied to obtain the relevant parameters.Atomic decomposition is capable of adaptively representing signals in an over-complete dictionary of atoms with very sparse components rather than with fixed and complete basis as in conventional representations.Examples of applying this method to several typical power system disturbance analyses exhibit the validity and the great advantage. This work is supported by National Natural Science Foundation of China (No.50877069).
引文
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[13]Lovisolo L,da Silva E A B,Rodrigues M A M,et al.Efficient coherent adaptive representation of monitored electric signals in power systems using damped sinusoids[J].IEEE Trans on Signal Processing,2005,53(10):3831-3846.
[14]贾清泉,于连富,董海艳,等.应用原子分解的电能质量扰动信号特征提取方法[J].电力系统自动化,2009,33(24):61-64.JIA Qing-quan,YU Lian-fu,DONG Hai-yan,et al.Power quality disturbance features extraction based on atomic decomposition[J].Automation of Electric Power Systems,2009,33(24):61-64.
[2]Zhao F Z,Yang G R.Power-quality disturbance recognition using s-transform[J].IEEE Trans on Power Delivery,2007,22(2):944-950.
[3]李庚银,罗艳,周明,等.基于数学形态学和网格分形的电能质量扰动检测及定位[J].中国电机工程学报,2006,26(3):25-30.LI Geng-yin,LUO Yan,ZHOU Ming,et al.Power quality disturbance detection and location based on mathematical morphology and grille fractal[J].Proceedings of the CSEE,2006,26(3):25-30.
[4]Senroy N,Suryanarayanan S,Ribeiro P F.An improved Hilbert–Huang method for analysis of time-varying waveforms in power quality[J].IEEE Trans on Power Systems,2007,22(4):1843-1850.
[5]董航,刘涤尘,邹江峰.基于Prony算法的电力系统低频振荡分析[J].高电压技术,2006(6):97-100.DONG Hang,LIU Di-chen,ZOU Jiang-feng.The analysis of low-frequency oscillations in power systems based on prony method[J].High Voltage Technology,2006(6):97-100.
[6]Mallat S,Zhang Z.Matching pursuits with time-frequency dictionaries[J].IEEE Trans on Signal Processing,1993,41(12):3397-3415.
[7]Frossard P,Vandergheynst P,Figueras R M,et al.A posteriori quantization of progressive matching pursuit streams[J].IEEE Trans on Signal Processing,2004,52(2):525-535.
[8]Miroslav A,Laura R N.A swapping-based refinement of orthogonal matching pursuit strategies[J].Signal Processing,2006(86):480-495.
[9]Tropp J A.Greed id good:algorithmic results for sparse approximation[J].IEEE Trans on Information Theory,2004,50(10):2231-2242.
[10]Tcheou M P,Lovisolo L,da Slva E A B,et al.Optimum rate-distortion dictionary selection for compression of atomic decompositions of electric disturbance signals[J].IEEE Signals Processing Letters,2007,14(2):81-84.
[11]马世伟,吴从毛,袁康.基于时间切变Gabor原子的时频建模[J].系统仿真学报,2006,18(8):155-158.MA Shi-wei,WU Cong-mao,YUAN Kang.Time-frequency modeling based on time-shearing gabor atom[J].Journal of System Simulation,2006,18(8):155-158.
[12]陈发宇,杨长春.基于MP方法的地震信号快速分解算法[J].地球物理学进展,2007,22(6):1692-1697.CHEN Fa-yu,YANG Chang-chun.Seismic signal’s decomposition based on matching pursuits method[J].Progress in Geophysics,2007,22(6):1692-1697.
[13]Lovisolo L,da Silva E A B,Rodrigues M A M,et al.Efficient coherent adaptive representation of monitored electric signals in power systems using damped sinusoids[J].IEEE Trans on Signal Processing,2005,53(10):3831-3846.
[14]贾清泉,于连富,董海艳,等.应用原子分解的电能质量扰动信号特征提取方法[J].电力系统自动化,2009,33(24):61-64.JIA Qing-quan,YU Lian-fu,DONG Hai-yan,et al.Power quality disturbance features extraction based on atomic decomposition[J].Automation of Electric Power Systems,2009,33(24):61-64.
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