应用于电气设备局部放电定位的改进相位变换加权可控响应功率算法  

The improved steered response power-phase transform algorithm applied to partial discharge localization in electrical equipment

作　　者：李昌伟[1] 杨祥国[1] 邓如朝 张辉 LI Changwei;YANG Xiangguo;DENG Ruzhao;ZHANG Hui(School of Naval Architecture,Ocean and Energy Power Engineering,Wuhan University of Technology,Wuhan 430063,China;Wuhan GNCK Co.,Ltd.,Wuhan 430061,China)

机构地区：[1]武汉理工大学船海与能源动力工程学院,武汉430063 [2]武汉国能测控有限公司,武汉430061

出　　处：《应用声学》2025年第2期324-338,共15页Journal of Applied Acoustics

摘　　要：为了提高相位变换加权可控响应功率(SRP-PHAT)算法在低信噪比(SNR)情况下对电气设备局部放电声源的定位性能,提出了一种基于矩阵低秩稀疏分解的改进算法。改进算法将所有传声器对信号的互功率谱组成广义互谱矩阵,对该互谱矩阵进行低秩稀疏分解得到一个低秩矩阵和一个稀疏矩阵。从低秩矩阵中取出相应元素作为所有传声器对信号的互功率谱,再由此互功率谱计算可控响应功率(SRP)函数值。通过仿真以及实验对所提算法进行验证,结果表明在低SNR情况下,相比于传统SRP-PHAT算法,改进算法的方位角和仰角定位误差分别平均减小了4.9°和4.5°。改进后的算法对噪声具有更强的鲁棒性,对电气设备局部放电定位具有较高的应用价值。To enhance the localization performance of the steered response power-phase transform(SRP PHAT)algorithm for electrical equipment partial discharge sources in low signal-to-noise ratio(SNR)con ditions,an improved algorithm based on matrix low-rank sparse decomposition is proposed.The enhanced algorithm forms a generalized cross-spectral matrix from the cross-power spectrums of signals from all micro phone pairs.This cross-spectral matrix is subjected to a low-rank sparse decomposition,resulting in a low-rank matrix and a sparse matrix.The relevant elements are extracted from the low-rank matrix to represent the cross-power spectrums of the signals for all microphone pairs.Subsequently,the steered response power(SRP)function values are computed from these cross-power spectrums.Simulation and experimental validation of the proposed algorithm show that,under low SNR conditions,compared to the traditional SRP-PHAT algorithm,the improved algorithm reduces the errors in azimuth and elevation localization by an average of 4.9◦and 4.5◦,respectively.The enhanced algorithm exhibits stronger robustness against noise,demonstrating its valuable application in the localization of electrical equipment partial discharge.

关 键 词：局部放电 声源定位 传声器阵列 低秩稀疏分解 相位变换加权可控响应功率 

分 类 号：TN912.3[电子电信—通信与信息系统]