基于求根MUSIC算法的电压闪变参数估计

Parameter estimation of voltage flicker based on Root-MUSIC

提出了一种不需要提取电压闪变包络线的闪变检测方法,对电压闪变参数的提取可通过三角函数分解转化为对边频分量的求取。将求根MUSIC算法直接应用于电压闪变检测,首先对采样信号数据矩阵的协方差矩阵进行奇异值分解,得到信号子空间和噪声子空间,利用两个空间的正交性构造多项式,对多项式求根,对单位圆上的根进行分析,得到边频分量的频率和幅值信息,通过公式计算得到精度较高的闪变信号参数。仿真结果表明该算法在闪变信号参数的提取中精确度高,且抗噪能力强。

In this paper, a parameter estimation method is proposed, in which the exact extraction of the flicker envelope of the voltage flicker is not a necessity. By decomposing the trigonometric function, flicker signal detection can be transformed into side frequency component detection. Root-MUSIC is directly applied in the estimation of voltage flicker. First, the covariance matrix of the sampled signal data matrix is decomposed through singular-val- ue, and thus, the signal sub-space and noise sub-space are obtained. Then with the help of the orthogonality of these two subspaces, a polynomial is constructed. By solving this polynomial and analyzing the roots on the unit cir- cle, the frequency and amplitude information of the side frequency component are obtained. Finally, flicker signal parameters with high precision can be attained through the solution of the formula. The high accuracy in the extraction of flicker signal parameters, as well as the great anti-noise quality of this algorithm, is proved by the simulation results.