A Fast Algorithm to Estimate Phasor in Power Systems

This paper proposes a fast phasor estimation method for power systems. Using the matrix pencil method, the multiplication of the pseudoinverse of the sampling matrix and the reference signal matrix constructs a square matrix. The fundamental sinusoidal component of the signal is derived by finding the eigenvalues of this square matrix. QR factorization and similarity transformation are introduced to compute the eigenvalues of the fundamental component by reducing the matrix order to two. The proposed method is compared with recently proposed methods, including the Fourier algorithm and least-square method. Extensive simulation results demonstrate that, with only half-cycle sampling data, the presented method has low computational complexity and its high accuracy is not affected by harmonics or decaying dc component even during the transient process.