基于CEEMD和LSQR的行波波形精确检测方法

陈朝晖 , 汤涛 , 丁晓兵 , 陈旭 , 刘玮 , 李晓涵

南方电网技术 ›› 2026, Vol. 20 ›› Issue (3) : 135 -145.

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南方电网技术 ›› 2026, Vol. 20 ›› Issue (3) : 135 -145. DOI: 10.13648/j.cnki.issn1674-0629.2026.03.013

基于CEEMD和LSQR的行波波形精确检测方法

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Accurate Detection Method of Traveling Wave Shape Based on CEEMD and LSQR

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摘要

针对电网真实一次行波信号与所测二次行波信号不一致的问题,提出了一种基于互补集合经验模态分解(complementary ensemble empirical mode decomposition,CEEMD)和最小二乘QR分解(least square QR decomposition,LSQR)的行波波形精确检测方法。首先,分析了专用行波传感器非线性幅频和相频响应特性,揭示了一、二次行波的差异性;其次,采用CEEMD将二次行波分解为不同频段的固有模态函数分量;进而采用最小二乘法构建行波波形反演模型,利用LSQR迭代求解各固有模态函数分量的反演分量;最后,将各反演分量线性合成得到反演的一次行波信号。仿真和实验结果表明,该方法不受噪声、模态混叠效应的影响,而且分频反演所得行波波形与真实行波波形相似度可达0.99,实现了故障行波波形的准确检测。

Abstract

To address the issue of inconsistency between the actual primary traveling wave signal and the measured secondary traveling wave signal, an accurate detection method for traveling waves based on complementary ensemble empirical mode decomposition (CEEMD) and least square QR decomposition (LSQR) is proposed. Firstly, the nonlinear amplitude-frequency and phase-frequency response characteristics of the specialized traveling-wave sensor are examined, revealing the distinction between the primary and secondary traveling waves. Secondly, CEEMD is used to decompose the secondary traveling wave into inherent modal function components of different frequency bands. Then the least square method is used to construct the traveling wave inversion model, and the LSQR algorithm is used to solve the inversion components of each inherent modal function component iteratively. Finally, the inversion primary traveling wave signal is synthesized by linear superposition of each inversion component. Simulation and experimental results show that the proposed method is not affected by noise and mode aliasing effects, and the similarity between the frequency-division inversion traveling wave and the real traveling wave can reach 0.99, which realizes the accurate detection of fault traveling wave.

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关键词

行波传感器 / 波形反演 / 最小二乘QR分解算法 / 互补集合经验模态分解

Key words

traveling wave sensor / waveform inversion / least square QR decomposition algorithm / complementary ensemble empirical mode decomposition

Author summay

陈朝晖(1979),男,高级工程师,博士,研究方向为电力系统继电保护与控制;

汤涛(1989),男,通信作者,副教授,博士,研究方向为为配电网接地故障辨识与故障定位,

丁晓兵(1979),男,高级工程师,博士,研究方向为电力系统继电保护管理。

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陈朝晖,汤涛,丁晓兵,陈旭,刘玮,李晓涵. 基于CEEMD和LSQR的行波波形精确检测方法[J]. 南方电网技术, 2026, 20(3): 135-145 DOI:10.13648/j.cnki.issn1674-0629.2026.03.013

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基金资助

国家自然科学基金资助项目(52207075)

中国南方电网公司有限责任公司科技项目(ZDKJXM20220004)

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