A new Lyapunov function for interconnected power systems

A Lyapunov function is constructed for a general n-machine power system with nonzero transfer conductance. The theory of dissipative dynamic systems is used, and the procedure calls for checking the positive definiteness of a sparse matrix. The results are reported only for the case of nonuniform damping, which is more complex than the uniformly damped case. The procedure is iterative and may fail to converge for very small damping and strong interconnections. The Lyapunov function is a quadratic term plus a weighted sum of integrals, a form not reported previously. This is an extension of the previously reported quadratic Lyapunov function.<<ETX>>