A study of dynamic aspects related to voltage collapse in power systems

The applicability of the multiparameter stability theory proposed in a book by K. Huseyin (1975) to the study of voltage stability in power systems is explored. The methodology is based on the eigenvalues of the Jacobian matrix, evaluated at an arbitrary equilibrium point in the vicinity of a singular point (or critical point), and an asymptotic equation of the equilibrium surface (path) around this point is obtained through a systematic multiparameter perturbation technique. The technique provides surface (path) derivatives, which are used to construct the equilibrium surface (path). It is applied to a power system dynamic model which includes load dynamics