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A technique for tracking the frequency of power systems in sine noises using numerical differentiation is presented in this paper. A voltage or current sinusoidal signal corrupted by a sine noise with the frequency varying from 0 to 300 Hz. the amplitude varying from 0 to 300 V, and the phase angle varying from 0 to 360 is taken into consideration. Using central numerical differentiation with 7 points, the proposed algorithm shows more advantage in time and speed compared with other existing techniques, and shows better dynamics and high accuracy in frequency estimation. Carried out in Matlab, the simulation results are satisfactory.