A GENERAL-METHOD FOR SMALL-SIGNAL STABILITY ANALYSIS

This paper presents a new general method for computing the different s pecific power system small signal stability conditions. The conditions include the points of minimum and maximum damping of oscillations, sa ddle node and Hopf bifurcations, and load flow feasibility boundaries. All these characteristic points are located by optimizing an eigenval ue objective function along the rays specified in the space of system parameters. The set of constraints consists of the load flow equations , and requirements applied to the dynamic state matrix eigenvalues and eigenvectors. Solutions of the optimization problem correspond to spe cific points of interest mentioned above. So, the proposed general met hod gives a comprehensive characterization of the power system small s ignal stability properties. The specific point obtained depends upon t he initial guess of variables and numerical methods used to solve the constrained optimization problem. The technique is tested by analyzing the small signal stability properties for well-known example systems.