Metodología basada en optimización matemática para la solución del problema de la expansión de los alimentadores que interconectarán con la Subestación 13, perteneciente al sistema de distribución eléctrica de la Empresa Eléctrica Regional Centrosur C.A.

Abstract

The following work delineates a methodology based on mathematical optimization for solving the problem of the expansion of feeders which will interconnect with Substation #13, the feeders in question being those belonging to Empresa Eléctrica Regional Centrosur C.A. The proposed optimization model consists of a part responsible for the system diagnostics through the solution to the power flow problem, which is confirmed using Case Studies 1 to 4, and information from the CymDist commercial package. Three additional Case Studies (Cases 5, 6, and 7) are undertaken for the system plan which take the short and large term demands, of the distribution system into consideration, opting for the one that provides the best operation conditions from the point of view of energy losses and voltage profiles to apply a long-term model of second-order convex optimization. The final result indicates the necessity to balance loads for certain sections and to install fixed capacitor banks at specific nodes. The mathematical formulation of the optimization problem has an objective function that takes investment and operation costs into consideration, being composed of three terms which represent the following costs: the installation of new feeders and/or the replacement of pre-existing feeders, the installation of fixed capacitor banks, and the loss of energy. The mathematical model was implemented in AMPL 2023 and resolved using Solver CPLEX v23.