基于改进阈值估计和改进阈值函数的局部放电信号降噪方法

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (22) : 1-13.

论文

刘志坚，赵浩益，刘航，罗灵琳，宋琪，李鹏程

作者信息 +

Noise reduction method for partial discharge signals based on improved threshold estimation and improved threshold function

LIU Zhijian，ZHAO Haoyi，LIU Hang，LUO Linglin，SONG Qi，LI Pengcheng

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文章历史 +

摘要

提出了基于改进最优阈值估计和改进阈值函数两方面优化的降噪方法。首先，针对传统阈值法估计偏大，单序列样本熵阈值法估计易陷入局部最优的问题，建立了融合噪声序列样本熵和降噪序列样本熵的综合熵模型，以综合熵曲率拐点下的阈值为优化目标，提出一种二分变步长非线性搜索方法实现最优阈值的快速估计。进一步，针对传统小波阈值函数存在重构振荡和重构偏差的问题，提出了一种融合软、硬阈值特征的改进阈值函数，通过使用平滑过渡数模型对该函数中的品质因子参数进行优化，使函数曲线在临界阈值邻域内连续平滑过渡。在高压设备局部放电超声波脉冲信号降噪应用场景中的仿真及测试实验结果表明，所提出综合熵阈值估计方法能够快速、准确地逼近最优阈值。此外，改进阈值函数兼顾了软硬阈值函数的优点，能够抑制重构振荡和重构偏差，在保留原始信号有效信息的前提下实现对噪声的有效抑制，表现出了较好的工程应用价值。
关键词：信号降噪；阈值估计；阈值函数；综合熵；局部放电

Abstract

A denoising method based on two aspects of improved optimal threshold estimation and improved threshold function is proposed. Firstly, in view of problems that the estimating value of traditional threshold method is relatively large, and the the single sequence sample entropy threshold method estimation is easy to fall into the local optimum, a comprehensive entropy model is established by combining the sample entropy of both noise and noise reduction sequences. Choosing the threshold under comprehensive entropy curvature inflection point as the optimization target, a bipartite variable step-size nonlinear search method is proposed to realize the rapid estimation of the optimal threshold. After that, aiming at the reconstruction oscillation and deviation problems of traditional wavelet threshold function, an improved threshold function combining soft and hard threshold features is proposed. To achieve thet continuous smooth transition of function curve in the critical threshold neighborhood, the quality factor parameters in this function are optimized by using a smooth transition number model. Simulation and test experiment results under application scenarios of the partial discharge ultrasonic pulse signal noise reduction in high-voltage equipment suggest that the proposed comprehensive entropy threshold estimation method can approximate the optimal threshold quickly and correctly. Besides, the improved threshold function also intrgrates the advantages of soft and hard threshold function, can suppress reconstruction oscillation and deviation, and further suppression the noise effectively with the premise of original signal’s effective information retaining, showing a good engineering application value.
Key words: noise reduction; threshold estimation; threshold function; comprehensive entropy; partial discharge

导出引用

刘志坚，赵浩益，刘航，罗灵琳，宋琪，李鹏程. 基于改进阈值估计和改进阈值函数的局部放电信号降噪方法[J]. 振动与冲击, 2022, 41(22): 1-13

LIU Zhijian，ZHAO Haoyi，LIU Hang，LUO Linglin，SONG Qi，LI Pengcheng. Noise reduction method for partial discharge signals based on improved threshold estimation and improved threshold function[J]. Journal of Vibration and Shock, 2022, 41(22): 1-13

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