JPS_V5_N2_RP4 K. Kiran Babu Ch. Rambabu Journal on Power Systems Engineering 2322–0376 5 2 26 34 Homotopy Continuation Method, Newton-Raphson Load Flow Method, P-V Curves, Voltage Stability, MATLAB In this paper, a method for calculating the power systems' P-V curves, which denote the relation between the total load and the system voltage has been presented. The method used is Homotopy Continuation Method which does not use the traditional cut-and-try process and/or a rough approximation process. The load flow calculation process is based on the Newton-Raphson method, but does not suffer from the notorious numerical calculations. The critical load condition can be obtained by increasing the load/generation by parameter 't'. This parameter handles the change in the real and reactive power directly. Not only the critical loading point, but also the P-V curve can be obtained which provides visual information to the system planers and system operators. May - July 2017 Copyright © 2017 i-manager publications. All rights reserved. i-manager Publications http://www.imanagerpublications.com/Article.aspx?ArticleId=13621