| The important role of electric railway catenary is to transfer electrical energy from traction substation to electric locomotive. Through the moving contact, electric locomotive can obtain power energy from the pantograph. With the train speed's increasing, the quality of pantograph-catenary current collection is paid more attention to. The catenary's irregularity is the main factor that influences the quality of pantograph-catenary current collection, the safety, the stationary, the conformability and the velocity of the vehicles.The catenary irregularity is researched from time-frequency analysis of the data detected based on existing research results of track irregularity and track spectrum. The disorderly and irregular information of random catenary irregularity waveforms are revealed by catenary irregularity power spectrum. Recently, there is neither analysis and research of catenary irregularity power spectrum model, nor research of catenary irregularity based on catenary irregularity power spectrum. To solve these problems, some researches have been done in the following parts in the paper.The track spectrum model is analyzed deeply to obtain appropriate catenary irregularity power spectrum model.The appropriate catenary irregularity power spectrum model is given based on the experimental analysis of several models, and the rationality of this model is proved by using the data detected of actual line's catenary irregularity. In addition, taking the established catenary irregularity power spectrum model as the fitting model, furthermore, the influence of velocity effects to catenary irregularity is elucidated through fitting four railway catenary irregularity data at 160km/h and 200km/h velocities.The data detected of catenary irregularity are analyzed by wavelet analysis, and then the wavelet decomposition results are used to calculate power spectrum. According to simulation experiments of large amounts of data, the wavelength components and irregularity amplitudes can be revealed by the proposed method. |