Analysis of Various Random Perturbations of Transmission Lines in Power System Studies

Modeling random perturbations of network flows in an electric power system is studied in this paper. This type of modeling would cover a wide range of intensities and bandwidths for a variety of flow fluctuations. The amount of transferred power depends on governing conditions in power systems and on the system load distibution which has a stochastic characteristic. A singular perturbation approach is developed to determine the mean first passage time (MFPT) of a dynamic power system from its region of attraction. Various types of perturbations including white and colored noises are studied and respective results are compared to one another in a search for a rigorous approach to power system reliability evaluation.