This paper uses all the arrival times of the first traveling wave recorded by each TWPR(traveling wave protection relays)to delete the null traveling wave arrival times in the whole transmission network after fault occurs on one line,and corrects part of the null first traveling wave arrival times so as to use the effective initial traveling wave arrival times to determine the fault lines.

The low-pass filter of cubic B-splines wavelet transform is employed as an initial filter,and on the basis of the principle of interpolating subdivision,a lifting operator is designed,and then the new wavelet is obtained through one lifting step according to the LS framework.

Numerical method of initial compression waves produced by a high-speed train entering a tunnel-hood based on one dimensional unsteady compressible flow model;