奇异值差分谱理论及其在行波固有频率提取中的应用
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摘要
当线路发生故障时,由于波阻抗的不连续性,故障行波的折反射现象会形成一系列混叠的固有频率频谱,因此,有效、准确地从混叠现象中提取行波固有频率成为故障测距的首要问题。因此,文章提出利用奇异值差分谱理论对原始信号进行分类处理,不仅能够降低噪声干扰,还能够提取到不同频率信号,降低频谱混杂现象,并且采用基于谐波模型的概率估计算法准确识别固有频率。通过PSCAD仿真分析,此方法能够从频谱混杂中准确提取到行波固有频率,实现对电网的故障定位。
When fault occurs in transmission line,due to the discontinuity of the wave impedance,the reflection phenomenon of the fault traveling wave will form a series of aliased natural frequency spectrum,thus effectively and accurately extracting the traveling wave natural frequency from the aliasing phenomenon as the fault ranging the primary problem.Therefore,the singular value differential spectrum theory is used to classify the original signal,which can not only reduce the noise interference,but also can extract the signals to different frequencies,reduce the spectrum mixing phenomenon,and adopt the probability estimation algorithm based on harmonic model to accurately identify the inherent frequency. The PSCAD simulation results show this method can extract the natural frequency of the traveling wave accurately from the spectral mixture and realize the fault location of the power grid.
When fault occurs in transmission line,due to the discontinuity of the wave impedance,the reflection phenomenon of the fault traveling wave will form a series of aliased natural frequency spectrum,thus effectively and accurately extracting the traveling wave natural frequency from the aliasing phenomenon as the fault ranging the primary problem.Therefore,the singular value differential spectrum theory is used to classify the original signal,which can not only reduce the noise interference,but also can extract the signals to different frequencies,reduce the spectrum mixing phenomenon,and adopt the probability estimation algorithm based on harmonic model to accurately identify the inherent frequency. The PSCAD simulation results show this method can extract the natural frequency of the traveling wave accurately from the spectral mixture and realize the fault location of the power grid.
引文
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[12]赵学智,叶邦彦,陈统坚.奇异值差分谱理论及其在车床主轴箱故障诊断中的应用[J].机械工程学报,2010,46(1):100-109.Zhao Xuezhi,Ye Bangyan,Chen Tongjian.Difference Spectrum Theory of Singular Value and Its Application to the Fault Diagnosis of Headstock of Lathe[J].Journal of Mechanical Engineering,2010,46(1):100-109.
[13]赵学智,叶邦彦,陈统坚.矩阵构造对奇异值分解信号处理效果的影响[J].华南理工大学学报(自然科学版),2008,36(9):86-93.Zhao Xuezhi,Ye Bangyan,Chen Tongjian.Influence of Matrix Creation Way on Signal Processing Effect of Singular Value Decomposition[J].Journal of South China University of Technology(Natural Science Edition),2008,36(9):86-93.
[2]廖凯,何正友,李小鹏.基于行波固有频率的高压直流输电线路故障定位[J].电力系统自动化,2013,37(3):104-109.Liao Kai,He Zhengyou,Li Xiaopeng.Fault Location of HVDC Transmission Line Based on the Natural Frequency of Traveling Wave[J].Automation of Electric Power Systems,2013,37(3):104-109.
[3]邬林勇,何正友,钱清泉.一种提取行波自然频率的单端故障测距方法[J].中国电机工程学报,2008,28(10):69-75.Wu Linyong,He Zhengyou,Qian Qingquan.A single Ended Fault location Method Using Traveling Wave Natural Frequency[J].Proceedings of the CSEE,2008,28(10):69-75.
[4]林圣,何正友,陈鉴,等.基于行波时频特征的单端故障测距方法[J].电网技术,2012,36(1):258-264.Lin Sheng,He Zhengyou,Chen Jian,et al.A Single Terminal Fault Location Method Based on Time-Frequency Characteristic of Traveling Wave[J].Power System Technology,2012,36(1):258-264.
[5]黄忠棋.采取行波固有频率的混合线路故障测距新方法[J].电力系统及其自动化学报,2015,27(11):73-79.Huang Zhongqi.New Method of Fault Location for Hybrid Lines by U-sing Traveling Wave Natural Frequencies[J].Proceeding of the CSU-EPSA,2015,27(11):73-79.
[6]覃剑,葛维春,邱金辉.输电线路单端行波测距法和双端行波测距法的对比[J].电力系统自动化,2006,30(6):92-95.Qin Jian,Ge Weichun,Qiu Jinhui.Study on single terminal method and double terminal method of traveling wave fault location in transmission line[J].Automation of Electric Power Systems,2006,30(6):92-95.
[7]张峰,梁军,张力,等.奇异值分解理论和小波变换结合的行波信号奇异点检测[J].电力系统自动化,2008,32(20):57-60.Zhang Feng,Liang Jun,Zhang Li,et al.Traveling Wave Signal Processing Method for Singularity Detection Based on Singularity Value Decomposition and Wavelet Transform[J].Automation of Electric Power Systems,2008,2(20):57-60.
[8]向强铭,王茜,陈靖秋,等.基于奇异值分解理论的双端行波故障测距研究[J].电力系统保护与控制,2014,42(12):14-18.Xiang Qiangming,Wang Qian,Chen Jingqiu,et al.Study of two-terminal traveling wave fault location based on SVD theory[J].Power System Protection and Control,2014,42(12):14-18.
[9]Wedepohl L M.Application of matrix methods to the solution of travelling wave phenomena in polyphase systems[J].IEE Proc.1963,11(2):2200-3212.
[10]BIENVENU G,KOPP L.Optimality of high resolution array using the Eigen system approach[J].IEEE Trans Acoustics,Speech and Signal Processing,1983,31(5):1235-1247.
[11]赵学智,叶邦彦,陈统坚.基于小波-奇异值分解差分谱的弱故障特征提取方法[J].机械工程学报,2012,48(7):37-48.Zhao Xuezhi,Ye Bangyan,Chen Tongjian.Extraction Method of Faint Fault Feature Based on Wavelet-SVD Difference Spectrum[J].Journal of Mechanical Engineering,2012,48(7):37-48.
[12]赵学智,叶邦彦,陈统坚.奇异值差分谱理论及其在车床主轴箱故障诊断中的应用[J].机械工程学报,2010,46(1):100-109.Zhao Xuezhi,Ye Bangyan,Chen Tongjian.Difference Spectrum Theory of Singular Value and Its Application to the Fault Diagnosis of Headstock of Lathe[J].Journal of Mechanical Engineering,2010,46(1):100-109.
[13]赵学智,叶邦彦,陈统坚.矩阵构造对奇异值分解信号处理效果的影响[J].华南理工大学学报(自然科学版),2008,36(9):86-93.Zhao Xuezhi,Ye Bangyan,Chen Tongjian.Influence of Matrix Creation Way on Signal Processing Effect of Singular Value Decomposition[J].Journal of South China University of Technology(Natural Science Edition),2008,36(9):86-93.