| 基于小波－数学形态学和Hilbert的谐波分析 |
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| 引用本文： | 周喜超,刘峻,郑伟,智勇.基于小波－数学形态学和Hilbert的谐波分析[J].电力系统保护与控制,2009,37(16):20-23. |
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| 作者姓名： | 周喜超 刘峻 郑伟 智勇 |
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| 作者单位： | 甘肃电力科学研究院，甘肃 兰州 730050 |
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| 摘 要： | 充分利用小波和数学形态学的优势，有效地将两者结合，再用Hilbert变换来提取谐波的幅值和频率，有效地克服了FFT方法和相位分析方法的缺点。首先将谐波信号进行小波分解，得到一系列小波系数，再对每一层的小波系数利用数学形态学进行平滑处理，最后通过对小波变换产生的每个频率分量对应的波形进行Hilbert变换及拟和计算，得到谐波的幅值、相位和频率，实现了对电力系统谐波的准确分析。仿真表明，该方法能够准确地检测出电力系统谐波，具有很好的实用价值。
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| 关 键 词： | 小波变换 数学形态学 Hilbert 谐波 |
Harmonics analysis based on wavelet - mathematical morphology and Hilbert |
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| ZHOU Xi-chao,LIU Jun,ZHENG Wei,ZHI Yong.Harmonics analysis based on wavelet - mathematical morphology and Hilbert[J].Power System Protection and Control,2009,37(16):20-23. |
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| Authors: | ZHOU Xi-chao LIU Jun ZHENG Wei ZHI Yong |
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| Affiliation: | Gansu Electric Power Research Institute;Lanzhou 730050;China |
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| Abstract: | A new method that interfuses wavelet transform with mathematical morphology and Hilbert is proposed to detect harmonics . Disadvantages of FFT and phasic analysis method are effectively overcome. First,harmonics signal are analyzed with wavelet transform,the modulus of a series of wavelet are dealt with mathematical morphology,then the value, phase and frequency of harmonics are gained by Hilbert and summation count.Simulation reveals that the proposed method can precisely detect the harmonic and be well us... |
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| Keywords: | wavelet transform mathematical morphology Hilbert harmonics |
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