快速小波熵输电系统暂态信号特征提取研究

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摘要利用Shannon小波能量熵算法能够提取电力系统暂态信号特征, 但其特征提取精度、抗干扰能力以及运算速度均存在不足。针对上述不足, 基于提升插值小波和Tsallis熵理论, 提出一种快速小波能量熵算法, 并应用于输电系统暂态信号特征提取。以三能级系统复杂度统计为例, 分析不同非广延参数q条件下Tsallis熵的非广延统计特性以及与Shannon熵之间的联系。引入提升插值小波代替Mallat小波算法, 结合Tsallis熵理论构造快速小波能量熵算法, 对新算法复杂度进行理论分析。以输电线路两种暂态电压信号为研究对象, 对新算法暂态特征提取效果和运算速度进行测试。理论分析和实验证明, 与传统Shannon小波能量熵相比, 新算法不但能保证输电系统暂态信号特征提取精度、抑制小波混叠及噪声干扰, 而且缩短了运算时间。

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关键词 ：输电系统, 提升小波, 暂态特征提取, 快速小波熵

Abstract：The features of transient signals in power system can be extracted using Shannon wavelet energy entropy(WEE), but some deficiencies exist in the accuracy of feature extraction, anti-jamming ability and computing speed. Aiming at the shortages of Shannon WEE, Fast WEE algorithm is proposed by combining Tsallis entropy with lifting-scheme-based interpolating wavelet and implemented to extract features of transient signals in transmission line. Taking complexity statistics of three-level system as an example, the relationship between Tsallis entropy and Shannon entropy is discussed by analysis of nonextension-statistical characteristics with different values of nonextension index q. By Tsallis entropy and lifting-scheme-based interpolating wavelet instead of traditional wavelet using Mallat algorithm, fast WEE algorithm is constructed and analysed theoretically. Taking transient voltages as research objects, which is caused by single-phase grounding and lightning, the effect of transient feature extraction and computing speed are tested. Theoretical analysis and experiment results show that in comparison with Shannon WEE the new algorithm can ensure the accuracy of feature extraction for transient signals of transmission line and restrain wavelet aliasing and noise, but its computing time is partially reduced.

Key words： Transmission line lifting wavelet transient feature extraction fast wavelet entropy

收稿日期: 2011-10-09 出版日期: 2014-03-20

PACS:

TM711

基金资助:国家自然科学基金资助项目(51074056)。

作者简介: 陈继开男, 1977年生, 博士, 工程师, 研究方向为电能质量分析、谐波检测与抑制技术。周志宇男, 1990年生, 学生, 研究方向为电力系统及其自动化。

引用本文:

陈继开, 周志宇, 李浩昱, 徐冰亮. 快速小波熵输电系统暂态信号特征提取研究[J]. 电工技术学报, 2012, 27(12): 219-225. Chen Jikai, Zhou Zhiyu, Li Haoyu, Xu Bingliang. Study of Fast Wavelet Entropy’s Application in Feature Extraction of Transient Signals in Transmission Line. Transactions of China Electrotechnical Society, 2012, 27(12): 219-225.

链接本文:

http://dgjsxb.ces-transaction.com/CN/Y2012/V27/I12/219

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