针对现有算法在处理电缆局部放电(partial discharge,PD)信号时存在振荡、去噪不彻底、运行效率低以及关键参数选择复杂等问题,提出一种基于奇异值分解(singular value decomposition,SVD)和可调品质因子小波变换(tunable Q-fator wavelet transform,TQWT)的去噪方法——SVD_TQWT去噪算法。首先,将含噪PD信号经过傅里叶变换得到频谱,再通过SVD确定周期性窄带干扰的个数,构建Hankel矩阵消除周期性窄带干扰。其次,通过TQWT对去除周期性窄带干扰的PD信号进行分解,采用样本熵划分为高低频子带,并分别利用群稀疏全变分去噪(group sparse total variation denoising,GSTVD)算法和改进小波阈值去噪(wavelet threshold denoising,WTD)算法去除高低频子带中的白噪声,得到纯净的PD信号。仿真与实测PD信号去噪结果表明,SVD_TQWT去噪算法相较其他3种去噪算法在多种评价指标上均显著提升,为后续电缆局部放电定位与模式识别等研究提供了有力支持。
Abstract
To address the issues in existing algorithms for processing cable partial discharge (PD) signals
such as oscillations
incomplete denoising
low computational efficiency
and complex key parameter selection
this paper proposes a denoising method based on singular value decomposition (SVD) and Tunable Q-factor Wavelet Transform (TQWT)
referred to as the SVD_TQWT denoising algorithm. First
the noisy PD signal is transformed via Fourier Transform to obtain its spectrum
and SVD is applied to estimate the number of periodic narrowband interferences
followed by constructing a Hankel matrix to remove them. Next
the PD signal in the absence of narrowband interferences is decomposed using TQWT
and separated into high-frequency and low-frequency subbands by sample entropy. Furthermore
the white noise in each subband is removed using the group sparse total variation denoising (GSTVD) algorithm and an improved wavelet threshold denoising (WTD) algorithm
respectively. Thus
pure PD signal is obtained. Denoising results of simulated and measured PD signals show that SVD_TQWT denoising algorithm has significantly improved in a variety of evaluation indicators compared with the other three denoising algorithms
which provides strong supports for subsequent research on cable partial discharge location and pattern recognition.