Linear reactive power optimization in a large power network using the decomposition approach

A mathematical framework is presented for the solution of the economic dispatch problem. The application of the Dantzig-Wolfe decomposition method for the solution of this problem is emphasized. The system´s optimization problem is decomposed into several subproblems corresponding to specific areas in the power system. The upper bound technique along with the decomposition method are applied to a 16-bus system and a modified IEEE 30-bus system, and numerical results are presented for larger systems. The results indicate that the presented formulation of the reactive power optimization and the application of the decomposition procedure will facilitate the solution of the problem. The algorithm can be applied to a large-scale power network, where its solution represents a significant reduction in the number of iterations and the required computation time