Sinusoidal representation of transient signal based on Hilbert transform

In order to analyze the characteristics of power system transient signal and calculate the derivative of transient signal, it is a feasible method to fit the function expression of transient signal based on sampled signal, but the existing transient signal fitting methods still have the shortcomings of certainty and derivability of fitting function. To solve this problem, a sinusoidal representation method for transient signal analysis of power system based on Hilbert transform is proposed in this paper. Sine function of transient signal is used to form a fitting basis function, and the Hilbert transform is used to meet the certainty of fitting function. Compared with the existing methods, this method can directly decompose the steady-state component and transient component of fault transient signal, and its transient component can reflect the attenuation characteristics of fault signal; this method can also fit the function expression of transient signal, and then calculate the arbitrary order derivative value of transient voltage and current signal, which 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.