基于同步挤压变换的电力系统谐波分析
HARMONIC ANALYSIS OF POWER SYSTEM BASED ON SYNCHROSQUEEZING TRANSFORM
-
摘要: 为解决短时傅里叶变换(short-time Fourier transform,STFT)和连续小波变换(continuous wavelet transform,CWT)分析复杂电力系统谐波的不足,提出用于谐波分析的傅里叶同步挤压变换(Fourier-based synchrosqueezing transform,FSST)和同步挤压小波变换(synchrosqueezing wavelet transform,SWT)方法。这2种方法分别利用STFT和CWT对电力谐波信号进行时频分析,并对谐波瞬时频率同步挤压锐化,得到更精细的谐波时频曲线;然后利用其可逆性将电力谐波分解为一组内蕴模态类函数(intrinsic mode type functions,IMTs)分量,完成谐波各分量的提取。通过对比研究发现,FSST更适合分析线性调频电力谐波,SWT更适合分析非线性调频电力谐波。实际应用结果表明,与希尔伯特黄变换相比,同步挤压变换能有效抑制模态混叠和噪声干扰,能有效提取各谐波特征信息。Abstract: Accurate extraction and analysis of harmonics is of great significance to power grid. To overcome the shortcomings of shorttime Fourier transform(STFT)and continuous wavelet transform(CWT)in harmonic analysis of complex power systems,Fourier-based synchrosqueezing transform(FSST)and synchrosqueezing wavelet transform(SWT)are proposed for harmonic analysis. These two methods respectively use STFT and CWT to analyze power harmonic signals,and synchronously extrude and sharpen the instantaneous frequency of harmonics to obtain more precise harmonic time-frequency curves;then use their reversibility to decompose power harmonics into a set of intrinsic mode type functions(IMTs)components,and complete the extraction of harmonic components. Through comparative study,it is found that FSST is more suitable for analyzing linear frequency modulation power harmonics,and SWT is more suitable for analyzing non-linear frequency modulation power harmonics. The practical application results show that compared with the Hilbert-Huang transform,the synchrosqueezing transform can effectively suppress the mode aliasing and noise interference,and extract the harmonic characteristic information effectively.