Discrete multi parameter singular perturbation method with power system application

Abstract

A class of linear discrete multi parameter stable control systems is considered which is notorious for its computational stiffness. For finding the exact solution of these systems special numerical methods need to be used. As an alternative, a singular perturbation method (SPM) is presented for initial and boundary value problems. Power systems are modeled as multi parameter systems due to their multi time scale nature. This SPM is applied to a load frequency control model of two area power system with three parameters as a case study. The results are presented up to second order approximation. They amply support the SPM presented.