Transient noises are caused by power system fault in the grid

which have large sum of harm on working of electrical equipment normally

it leads to work unsteadily for the power system. Considering it is extremely important part to eliminate transient noises in power system relay protection

thus

in this paper full-wave Fourier algorithm and half-wave Fourier algorithm are introduced to eliminate transient noises in the application of the power system

and simulations are carried out respectively. Two improved algorithms are proposed to eliminate proper transient noises in power system relay protection

and simulations with their performances are analyzed to verify the validity.