Second order eigenvalue sensitivities applied to power system dynamics

A new method that enables the calculation of second order eigenvalue sensitivities with respect to actual system parameters is described. The practical importance of the technique is illustrated using two examples. Theoretical results are presented for a simulation of a lightly loaded hydro generator equipped with a stabilizer and connected to a local non-linear load where dynamic stability is dependent upon the load parameters. The dependency of subsynchronous resonance on system parameters is predicted for the case of a thermal generating unit feeding a large induction motor load through a compensated transmission line.