Trajectory Sensitivity Theory in Non Linear Dynamical Systems: Some Power System Applications

Trajectory sensitivity analysis (TSA) has been applied in control system problems for a long time in such areas as optimization, adaptive control etc. Applications in power systems in conjunction with Lyapunov/transient energy functions first appeared in the 80's. More recently, it has found applications on its own by defining a suitable metric on the trajectory sensitivities with respect to the parameters of interest. In this paper we present the theoretical as well as practical applications of TSA for dynamic security applications in power systems. We also discuss the technique to compute critical values of any parameter that induces stability in the system using trajectory sensitivities.