USE OF REDUCED ORDER MODELS IN POWER SYSTEMS

Abstract

In the present work existing model order reduction techniques are applied to power system simplification and to contr e design. The thesis deals with frequency domain model order reduction techniques and controller design based on transfer function description of the power system. Brief con-clusions are given at the end of each chapter. In chapter one we have listed various techniques for model order reductions Only methods based on Pade approxima-tion techniques are applied in the thesis. In the same chapter we discribe the Pade approximation technique and its various modified versions a given by number of researchers. The methods described in this chapter are successfully extended to multivariable cases also. For simplicity the methods are applied to single input single output systems only. The second chapter is devoted to develop the transfer function from a given state space description. The classical Faddeeva algorithm is applied to the state space equations. This method gives erronous results when the dimension of matrix A is large. To eradicate this difficulty, a modified algorithm of Faddeeva is given in the same chapter. The third chapter describes the development of a power system model. The problem is taken from [ 17] and the develop-ment of the model is also from reference I" 17j