Analysis of dynamic stability of power system by a new eigenvalue method

TLDR: A new method is proposed which transforms the eigenvalue with the smallest real part (poorest attenuation component) to the Eigenvalue of largest absolute value of a new matrix, the S-method.

Abstract: Conventional methods for dynamic stability analysis such as the eigenvalue method (QR method), frequency response method, direct numerical integration method, etc., are not applicable to very large-scale systems because of limitations of memory capacity, computing time, and computation accuracy. To analyze a larger power system, it is necessary to take advantage of sparsity and regularity of matrices and to derive eigenvalues more efficiently (that is, with smaller memory capacity and shorter computing time). In this paper, we propose a new method which transforms the eigenvalue with the smallest real part (poorest attenuation component) to the eigenvalue of largest absolute value of a new matrix. We call the new matrix, Stability matrix (S-matrix) and call the proposed method, the S-method. The theoretical background of the S-method is presented and the effectiveness of the S-method is shown.