矿用高压电缆局部放电信号去噪方法

Denoising method for partial discharge signals of high-voltage mining cables

  • 摘要: 目前矿用高压电缆局部放电(PD)信号易埋没在噪声中难以提取,在PD降噪中使用变分模态分解(VMD)是一种有效手段,但VMD算法的分解层数K和惩罚因子\alpha 难以确定。针对该问题,提出基于自适应螺旋飞行麻雀搜索算法(ASFSSA)−VMD−KSVD的矿用高压电缆局部放电信号去噪方法。采用ASFSSA优化VMD,利用混沌映射策略使种群分布更加均匀,避免陷入局部最优解;通过VMD获得一系列本征模态函数(IMF),再用复合多尺度模糊散布熵(CMFDE)来筛选IMF分量的性质,将IMF分量分为信号主导分量和噪声主导分量;对筛选后的噪声主导分量构建KSVD字典学习的训练样本,通过稀疏编码和字典更新进一步抑制噪声;对处理后的系数进行重构并将信号块叠加即可得到去噪后的信号。采用信噪比(SNR)、均方根误差(RMSE)、归一化互相关系数(NCC)来评估去噪效果,实验结果表明:在不同SNR条件下,采用ASFSSA算法去噪后的SNR远大于灰狼优化(GWO)算法和改进鲸鱼优化算法(IWOA),在噪声抑制方面有明显优势;采用ASFSSA算法去噪后的RMSE远小于GWO算法和IWOA,去噪时的真实值与预测值差别最小;采用ASFSSA算法去噪后的NCC十分接近1,在波形相似度上表现良好。

     

    Abstract: Currently, partial discharge (PD) signals of high-voltage mining cables are easily buried in noise and difficult to extract. Variational Mode Decomposition (VMD) is an effective method for PD denoising, but the number of decomposition layers and penalty factor of the VMD algorithm are difficult to determine. To address this problem, a denoising method for PD signals of high-voltage mining cables based on Adaptive Spiral Flying Sparrow Search Algorithm (ASFSSA)-VMD-KSVD was proposed. ASFSSA was used to optimize VMD, and a chaotic mapping strategy was utilized to make the population distribution more uniform and avoid falling into local optima. A series of intrinsic mode functions (IMF) were obtained through VMD, and the Composite Multiscale Fuzzy Dispersion Entropy (CMFDE) was then used to screen the properties of IMF components, dividing them into signal-dominated components and noise-dominated components. For screened noise-dominated components, training samples were constructed for KSVD dictionary learning, and noise was further suppressed through sparse coding and dictionary updating. The processed coefficients were reconstructed, and the signal blocks were superimposed to obtain the denoised signal. The denoising performance was evaluated using Signal-to-Noise Ratio (SNR), Root Mean Square Error (RMSE), and Normalized Cross-Correlation (NCC). The experimental results showed that under different SNR conditions, the SNR after denoising using the ASFSSA algorithm was much higher than that of the GWO and IWOA algorithms, demonstrating a significant advantage in noise suppression. The RMSE after denoising using the ASFSSA algorithm was much smaller than that of the Grey Wolf Optimization (GWO) and Improved Whale Optimization Algorithm (IWOA) algorithms, indicating the smallest difference between the true and predicted values during denoising. The NCC after denoising using the ASFSSA algorithm was very close to 1, showing excellent waveform similarity.

     

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