Low Frequency Oscillation Analysis of the Topology Variation Network Based on Matrix Perturbation

A method to analyze the low frequency oscillation of the uncertain electric power system is proposed. When the structure of the system changes, based on the system reduced admittance matrix, the classic generator model, and the data acquired by PMU, the change of the system state matrix can be calculated by using Taylor series expansion. With the initial state matrix and its left and right eigenvectors, the change of the eigenvalues can be calculated by using matrix perturbation theory. Then the new eigenvalues can be acquired in real-time. The calculation results of 2-area 4-generator system verify that the method is able to accurately, rapidly calculate the change of the eigenvalues with less computation, and so it can help the operator to judge the system stability quickly when the system topology changes.