A new eigen-sensitivity theory of augmented matrix and its applications topower system stability analysis

In this paper, a new second-order eigen-sensitivity and perturbation theory of the augmented matrix is developed using of only dominant eigenvalues an d their left and right-eigenvectors. Eigen-sensitivities on various system and control parameters are computed far analysis of small signal and voltag e stability of the New England system. It is also shown that the sensitivity analysis may be used as an invaluable tool for analysis, planning, and operation of power systems: identificatio n of the cause of the stability problems and weak lines; optimal tuning of control parameters; determining locations of compensating devices for stabi lity enhancement such as capacitor compensation and FACTS devices.