A novel comparison of gauss-seidel and newton- raphson methods for load flow analysis

TLDR: In this article, an operational comparison between Gauss-Seidel and Newton Raphson method is depicted using MATLAB simulation software for a 4-bus system, and it is prominent that Gauss Seidel follows the linear convergence whereas Newton-Raphson exhibits the quadratic convergence.

Abstract: All over the world, several methods of power flow analysis are used, namely Gauss-Seidel, Newton Raphson, Fast Decoupled Load Flow methods because power flow analysis is a critical factor for proper planning of power generating scheduling economically and calculation of power loss, bus voltage, angle. In this work, an operational comparison between Gauss-Seidel and Newton Raphson method is depicted using MATLAB simulation software for a 4-Bus system. By following the obtained values, it is prominent that Gauss Seidel follows the linear convergence whereas Newton Raphson exhibits the quadratic convergence. The selection of slack bus affects the Gauss-Seidel convergence adversely but for Newton-Raphson has minimal sensitivity towards this selection. While going through the simulation, it is lucid that Gauss-Seidel is comprehensible and reliable for small systems which are antithesis for Newton Raphson Method because repetitive computation of Jacobian makes it complicated.