Computation of multi-parameter sensitivities of equilibrium points in electric power systems

This paper proposes to use the trajectory sensitivity theory to assess the influence of the system's parameters on the power system equilibrium. The proposed parameter sensitivity approach provides complementary information to that given by selective modal analysis which can help determine how the state variables linked with the critical eigenvalues are affected by the system's parameters. The parameter sensitivities also provide a way of judging how the system's parameters affect the oscillatory behavior of a power system. The proposed method is demonstrated on the 3-machine, 9-bus WSCC system and a 46-machine, 190-bus equivalent Mexican system.

► The proposed approach directly assesses how the state variables are affected by the system's parameters at the equilibrium.
► Simulation efficiency is achieved to assess parameter sensitivities.
► The proposed approach does not require the computation of eigenvalues to compute parameter sensitivities.
► Sensitivities are computed w.r.t. the power demanded by loads in order to determine critical loading directions that could steer the system to an oscillatory instability.