Özgün Ada Ceylan, M.Sc.
Department of Scientific Computing
February 2022

Supervisor: Ömür Uğur (Institute of Applied Mathematics, Middle East Technical University, Ankara)

Abstract

Advancing technologies in distributed electrical generation and increasing amount of required electricity make electrical systems more complicated. Thus, the number of buses has increased and the size of incidence matrix for electrical power flow calculation has expanded.

Hence, investigation and performance analysis on different solvers are needed. In this thesis, a performance comparison between iterative solvers for electrical power flow is studied. These solvers are Newton-Raphson, Fast-Decoupled and Newton-Krylov Spaces methods. Besides, the effect of parallel programming in Newton-Krylov Spaces Method is also investigated.

Keywords: electrical power flow, Newton Method, Krylov Spaces, Fast-Decoupled Methods, parallel programming

Orta Doğu Teknik Üniversitesi, Uygulamalı Matematik Enstitüsü, Üniversiteler Mahallesi, Dumlupınar Bulvarı No:1, 06800 Çankaya/Ankara