Pipeline leak location method based on SSA-VMD with generalized quadratic cross-correlation

Lai hu Peng, Yongchao Hu, Jianyi Zhang, Jianwei Lin
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Abstract

Natural gas pipelines are an essential part of the economy. Natural gas pipelines may leak after aging, strong vibration signals may be generated in the pipeline when leakage occurs, and vibration signals may be noisy. Traditional variational mode decomposition (VMD) noise reduction methods need to set parameters in advance, and so may not achieve the best decomposition effect. To solve this problem, this paper proposes a method for pipeline leakage location based on the sparrow search algorithm (SSA) optimization of VMD combined with generalized quadratic cross-correlation. The method first calculates the original signal-to-noise ratio, and if the signal-to-noise ratio is low, wavelet threshold denoising is used to process the signal. Then, SSA optimization is used to refine the two key parameters of VMD (penalty parameter α and mode decomposition number K) based on sample entropy. Subsequently, the signal undergoes decomposition into K intrinsic mode function (IMF) components through VMD according to the obtained analysis parameter combination. Then, the IMF components are screened to obtain the reconstructed signal. Finally, the noise reduction signal is obtained. The signal delay after noise reduction is obtained through a generalized quadratic cross-correlation and the accurate leakage position is obtained using the delay. Experiments showed that the minimum relative error of this method could reach 0.6%, which was more accurate than the traditional VMD method, and effectively improved the accuracy of noisy signals in pipeline leakage locations.
基于 SSA-VMD 和广义二次交叉相关的管道泄漏定位方法
天然气管道是经济的重要组成部分。天然气管道老化后可能会发生泄漏,泄漏时管道内可能会产生强烈的振动信号,振动信号可能会产生噪声。传统的变模分解(VMD)降噪方法需要提前设置参数,因此可能无法达到最佳的分解效果。为解决这一问题,本文提出了一种基于麻雀搜索算法(SSA)优化 VMD 并结合广义二次交叉相关的管道泄漏定位方法。该方法首先计算原始信噪比,如果信噪比较低,则采用小波阈值去噪处理信号。然后,根据样本熵,使用 SSA 优化来完善 VMD 的两个关键参数(惩罚参数 α 和模式分解数 K)。随后,根据获得的分析参数组合,通过 VMD 将信号分解为 K 个本征模式函数(IMF)分量。然后,对 IMF 分量进行筛选,得到重建信号。最后得到降噪信号。通过广义二次交叉相关获得降噪后的信号延迟,并利用延迟获得准确的泄漏位置。实验表明,该方法的最小相对误差可达 0.6%,比传统的 VMD 方法更加精确,有效提高了噪声信号在管道泄漏位置中的准确性。
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