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This paper is with the purpose of catastrophe point identification and comparison between wavelet analysis and Fourier analysis on their effects of filtering, and apply it into the analysis of traction substation feeder current. First, we assess the differences between wavelet analysis and Fourier analysis by doing these two analyses to the ideal noise signal; and then we study the best conditions of using wavelet analysis and wavelet filtering conditions through the experiment using MATLAB and wavelet toolbox to explore the methods; last, we adopt the method that combining FFT analysis and wavelet analysis to analyze the traction substation feeder current. The simulation shows that wavelet analysis can recognize the breakpoints' location of signal, while Fourier analysis can't. The effects of wavelet filtering are better than Fourier analysis, while FFT can analyze the content of harmonic wave in signal. This paper also provides an example for fusion of science and education.

The Wavelet Analysis in the Application of the Traction Substation Feeder Current Analysis