Modified Matrix Pencil-Based Frequency Estimation

This paper proposes a novel synchronous frequency estimation method by leveraging a modified Matrix Pencil-based (MMP-based) phasor estimation method. Specifically, the MMP-based phasor estimation can extract two phasors from two consecutive time windows given an initial guess of the synchronous frequency. The ratio of these two phasors can be used to provide an initial estimate of the synchronous frequency. It’s observed that the error between the estimated frequency and the initial guess takes a minimum if the initial guess equals the true synchronous frequency. Additional refinement is introduced to make sure that this error function only has one minimum such that the synchronous frequency can be uniquely estimated by using this error function. We highlight the capability of the proposed method in estimating synchronous frequencies of signals with integer and non-integer harmonics, decaying-DC components, and low-frequency oscillation.