提出一种基于滑窗TLS-ESPRIT算法的超谐波动态分析方法。首先,对一定长度的超谐波电压、电流信号施加矩形窗函数,将其截取为等间隔连续的小数据块,对每个小数据块构建空间矩阵并估计超谐波个数;然后,利用TLS-ESPRIT算法估计每个小数据块所含超谐波的频率和衰减因子,再采用最小二乘法估计超谐波的幅值和相位;最后,以三维形式展示超谐波频谱,实现对超谐波的动态分析。数值仿真分析以及2种非线性负荷实测数据验证结果表明:该方法不仅能准确估计出超谐波的个数、频率、衰减因子、幅值和相位等信息,并具有较高的频率分辨率,还能从三维展示中观测到超谐波的时变特性,为深入研究超谐波提供了一种更精确的测量方法。
Abstract
A dynamic analysis method of supraharmonics based on sliding-window TLS-ESPRIT(SWTLS-ESPRIT)is proposed. Firstly,a certain length of supraharmonics voltage and current signals was cut into many equal-length consecutive data blocks by rectangle window. For each data block,the number of supraharmonics is estimated.Secondly,the frequency and attenuation factor of the supraharmonics are estimated by the basic TLS-ESPRIT algorithm.Then the amplitude and phase of the supraharmonics are calculated using least square algorithm.Finally,the supraharmonics spectrum is displayed in three dimensions to realize the dynamic analysis of supraharmonics.The simulation analysis and the verification results of two kinds of nonlinear loads show that the proposed method is a more accurate measurement method for further study of supraharmonics,which can not only accurately estimate the supraharmonics frequency,attenuation factor,amplitude and phase with higher frequency resolution,but also can showthe time-varying characteristicof the supraharmonics bythe three-dimensional image.
关键词
计量学 /
滑窗TLS-ESPRIT算法 /
超谐波 /
动态分析 /
电能质量 /
最小二乘法 /
空间谱估计方法
Key words
metrology /
sliding-window TLS-ESPRIT algorithm /
supraharmonics /
dynamic analysis /
power quality /
method of least squares /
method of spatial spectrum estimation
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