Solving the load flow problem using Gröbner basis

Abstract

In Electrical Engineering one of the most important problems to be solved for electrical networks is the load flow problem [6] [3]. Currently numerical solutions are provided by Newton's method, which involves recomputing the solution whenever the input data change. Given that this problem must be solved very often with different input data, the Gröbner basis can be an interesting approach since it can, in principle, provide a more algebraic solution of the input parameters and has to be solved completely only once, supplying formulas to compute single simulations. In this paper the basic ideas and a practical example are reported. Nevertheless, the required computations for practical network sizes are very complex and cannot yet be solved with the present algorithms.