Flujo óptimo de potencia linealizado para minimizar costos operativos de generación en sistemas eléctricos de potencia

Abstract

In the present work, the concepts of a linearized power flow in electrical systems are applied to minimize generation operating costs, taking into account the principles of solution of optimization problems associated with linear programming, being the main control variable the dispatch of active power in the machines. It starts from the mathematical modeling of the equations of a linearized power flow represented by means of matrices and vectors. Then the problem of minimization of generation costs is formulated, clearly establishing the objective function to be optimized, variables of the problem and the restrictions of equality and inequality. The developed matrices and vectors that represent the topology and operating conditions of the power system are used by the algorithm implemented in Matlab to obtain the minimum possible operating cost, in compliance with the respective restrictions. The results obtained in the IEEE 9 and 39 bar systems are compared with the results of the simulations of AC power flows performed in DigSILENT Power Factory, verifying that the results represent a feasible operating point of the electrical system. Finally, the National Interconnected System of Ecuador is modified according to the necessary requirements of the algorithm developed in Matlab, to apply the methodology developed and then analyze the results obtained.