| 引用本文: | 罗 建,石家炜.基于希尔伯特变换的暂态信号正弦表示分析方法[J].电力系统保护与控制,2022,50(1):1-7. |
| LUO Jian,SHI Jiawei.Sinusoidal representation of a transient signal based on the Hilbert transform[J].Power System Protection and Control,2022,50(1):1-7 |
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| 摘要: |
| 为了分析电力系统暂态信号特性和计算暂态信号导数，依据采样信号拟合暂态信号函数表达式是一种可行方法，但现有的暂态信号拟合方法还存在拟合函数确定性和可导性方面的不足。针对这一问题，提出了一种基于希尔伯特变换的电力系统暂态信号正弦表示分析方法，采用暂态信号的正弦表示构成拟合基函数，利用希尔伯特变换以满足拟合函数的确定性。与现有方法相比，该方法可直接分解故障暂态信号的稳态分量和暂态分量，其暂态分量能反映故障信号的衰减特性。该方法还可拟合暂态信号的函数表达式，进而计算暂态电压电流信号的任意阶导数值，这一特性是许多信号处理计算的基础。通过对一组给定信号和一组现场录波信号的分析，验证了所提方法的有效性。 |
| 关键词: 电力系统 暂态分析 拟合函数 希尔伯特变换 衰减特性 |
| DOI：DOI: 10.19783/j.cnki.pspc.210309 |
| 分类号: |
| 基金项目:国家自然科学基金项目资助(51877020) |
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| Sinusoidal representation of a transient signal based on the Hilbert transform |
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LUO Jian, SHI Jiawei
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(State Key Laboratory of Power Transmission Equipment & System Security and New Technology
(Chongqing University), Chongqing 400044, China)
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| Abstract: |
| To analyze the characteristics of a power system transient signal and calculate its derivative, it is feasible to fit the function expression of the signal based on a sample, but the existing transient signal fitting methods still have shortcomings of certainty and derivability of the fitting function. Given this, a sinusoidal representation method for transient signal analysis of a power system based on a Hilbert transform is proposed. The sine function of the transient signal is used to form a fitting basis function, and the Hilbert transform is used to meet the certainty of the fitting function. Compared with the existing methods, this method can directly decompose the steady-state component and transient component of the fault transient signal, and its transient component can reflect the attenuation characteristics of the fault signal. This method can also fit the function expression of the transient signal, and then calculate the arbitrary order derivative value of the transient voltage and current signal. This is the basis of many signal processing calculations. Through the analysis of a set of given signals and a set of field recorded signals, the effectiveness of the proposed method is verified.
This work is supported by the National Natural Science Foundation of China (No. 51877020). |
| Key words: power system transient analysis fitting function Hilbert transform attenuation characteristics |
