基于改进型 MSST 的谐波时频分析和检测方法

IF 2.6 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Arabian Journal for Science and Engineering Pub Date : 2024-04-23 DOI:10.1007/s13369-024-09047-w
Tong Tao, Yanli Chu
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引用次数: 0

摘要

本文提出了一种基于改进的多同步阙值变换(MSST)的谐波时频分析和检测方法。其目的是解决同步阙值变换 (SST) 在电力谐波分析中的重要端点问题。这种方法首先采用伯格法来估计谐波信号的自回归(AR)模型参数。随后,它对扩展谐波信号的 SST 结果进行多次迭代计算,进一步压缩时频谱能量,以获得更精确的谐波信号时频谱。此外,它还利用 MSST 的稳健重构能力对谐波信号进行分解,并获得一系列不同频率的本征模态函数 (IMF)。最后,应用希尔伯特变换识别每个 IMF 分量的谐波参数,完成谐波检测。仿真实验和测量数据结果表明,在实现更精确的时频分析和谐波信号检测方面,所提出的方法优于希尔伯特-黄变换(HHT)和 SST 方法。它还揭示了电网谐波的时频特征和变化规律,对谐波治理具有重要意义。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

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Harmonic Time–Frequency Analysis and Detection Method Based on Improved MSST

This paper proposes a method for harmonic time–frequency analysis and detection based on an improved multi-synchrosqueezing transform (MSST). The aim is to address the significant endpoint problem of the synchrosqueezing transform (SST) in power harmonic analysis. This approach initially employs the Burg method to estimate the parameters of the auto-regressive (AR) model for the harmonic signal. Subsequently, it conducts multiple iterative computations on the SST results of the extended harmonic signal, further compressing the time–frequency spectrum energy to obtain a more precise time–frequency spectrum of the harmonic signal. Additionally, it utilizes the robust reconstruction capability of MSST to decompose the harmonic signal and obtain a series of intrinsic mode functions (IMF) with different frequencies. Finally, the Hilbert Transform is applied to identify the harmonic parameters of each IMF component and accomplish harmonic detection. The simulation experiments and measured data results demonstrate that the proposed method outperforms the Hilbert-Huang Transform (HHT) and SST methods in achieving more accurate time–frequency analysis and detection of harmonic signals. It also reveals the time–frequency characteristics and variation patterns of power grid harmonics, making it of great significance for harmonic control.

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来源期刊
Arabian Journal for Science and Engineering
Arabian Journal for Science and Engineering MULTIDISCIPLINARY SCIENCES-
CiteScore
5.70
自引率
3.40%
发文量
993
期刊介绍: King Fahd University of Petroleum & Minerals (KFUPM) partnered with Springer to publish the Arabian Journal for Science and Engineering (AJSE). AJSE, which has been published by KFUPM since 1975, is a recognized national, regional and international journal that provides a great opportunity for the dissemination of research advances from the Kingdom of Saudi Arabia, MENA and the world.
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