An estimation of a transient stability margin for multimachine power systems using direct Lyapunov method

摘要

A technique for estimating a transient stability margin using a direct Lyapunov method is proposed. The topological energy Lyapunov function, which is used for estimating the transient stability margin, is approximated in the vicinity of the equilibrium point by a quadratic form. An eigenvector of the quadratic form matrix is found, which corresponds to the eigenvalue having the minimum modulus. The critical value of the Lyapunov function is sought for on the straight line specified by this vector. The stability margin is calculated by comparing the critical value of the Lapunov function with the magnitude of the disturbance.