Power flow algorithm with cubic convergence
Ning Wen-hui · Power System Protection and Control · 2009
In this paper,multivariate matrix calculation formulations of several Newton-like iterative methods with cubic convergence are systematically derived for the first time,then applied them into power flow calculation in electric power systems. Extensive numerical simulations on the test systems that range in size from IEEE14 to 300 buses and a practical life system show that these algorithms have the excellent convergence characteristics,and more,in the same convergence tolerance,these algorithms need less iterative numbers than classical Newton iterative method. Especially,algorithm No.1 and algorithm No.5 make the most of the factorization tables of the Jacobian matrix in each iterative step,so,the speeds of power flow calculation are obviously improved. Lastly,this paper draws a conclusion that these algorithms are the extension to classical Newton iterative method,and the study of this paper makes a routine for applying them into electric power systems.