1. Heun-King-Werner Method’s based approaches for the solution of the Load Flow Problem
- Author
-
Andressa Pereira Oliveira, Francisco Damasceno Freitas, and Laice Neves de Oliveira
- Subjects
Reduction (complexity) ,Electric power system ,symbols.namesake ,Flow (mathematics) ,Jacobian matrix and determinant ,Convergence (routing) ,symbols ,Applied mathematics ,Newton's method ,Physics::History of Physics ,Mathematics - Abstract
This paper presents approaches to the calculation of the solution of the load flow problem in ill-conditioned systems based on Newton’s Continuous philosophy. Two approaches to the Heun-King-Werner method are proposed with the objective of obtaining a better computational cost from the reduction of the number of calculations and factorizations of the Jacobian matrices. The methods performance were compared in terms of convergence with the standard Newton-Raphson and the original Heun-King-Werner method. Experiments carried out in ill-conditioned power system models demonstrated that the proposed approaches can significantly reduce the computational cost employed by the original Heun-King-Werner method.
- Published
- 2021