JEE_V5_N1_RP1 M. Venu Gopala Rao Somlal Jarupula V. Anwesh Kumar Journal on Electrical Engineering 2230 – 7176 5 1 1 4 IEEE 30, 57 and 118 bus systems, Jacobian-free Newton-GMRES, Newton-FGMRES, Power Flow A majority of computational efforts in the Newton Power Flow method lies in solving a set of linear equations. The traditional direct methods have been popular in solving a set of linear equations. However, the direct methods will find the exact solutions after a finite number of steps. Iterative methods, on the other hand, successively approximate the solutions to a predetermined degree of accuracy based on an initial guess. The preconditioners for “normalizing” linearized power mismatch equations were fixed at each Newton iteration. Recently, an adaptive preconditioner was proposed for the Jacobian-Free Newton-GMRES(m) method. Numerical studies shows that the proposed Newton-FGMRES method may consistently outperforms the traditional Newton method on practical power systems. In this paper, the FGMRES method is applied to solve linear equations arising from the Newton Power Flow Method. The authors have performed the analysis of both the methods for IEEE 30, 57 and 118 bus systems. July - September 2011 Copyright © 2011 i-manager publications. All rights reserved. i-manager Publications http://www.imanagerpublications.com/Article.aspx?ArticleId=1547