Improvement of algorithms for optimization of electrical energy systems under conditions of uncertainty of initial data using matrices

Abstract

The problem of optimizing the states of electric power systems is one of the complex problems of nonlinear mathematical programming. Despite the fact that many methods and algorithms for solving this problem have been developed in the last five years, the issue of their improvement, taking into account the modern operating conditions of electric power systems, remains an important task. This paper proposes a new algorithm for the optimization of short-term modes of electric power systems under the conditions of initial data uncertainty. The peculiarity of the algorithm is related to the elimination of the need to select a single intermediate bus with a balancing power plant in calculations, which is typical for many existing methods. It is shown that the consideration of frequency changes and partial uncertainty of the initial data in the optimization of the mode of the electrical system can significantly change the calculation results and lead to a corresponding increase in the resulting economic efficiency