Implementación de algoritmos matemáticos en software matlab para la solución de problemas de optimización de despacho económico

Abstract

In the present work of certification we develop modules of software in which it implements mathematical algorithms for the solution of problems of economic dispatch helping to improve the system of teaching-learning that can be acquired by the student in the process of optimization of electrical systems. Once the Lagrange multipliers and the interior point method are analyzed, software modules are developed that allow the finding of solutions to problems with economic dispatch of active power. The resolution of the first problem of minimization of generation costs is developed based on three methods: Lagrange multipliers, Quadprog solver and Fmincon of Matlab. This problem is subject to restrictions of generation limits and load balance. The second problem of minimization costs is developed during the command of Quadprog unlike what is pointed out in the paragraphs before, it is subject to a higher quantity of restrictions, which are : load nodal balance, generation limits of units, limits of angles of nodes in the net and limits of transmissions of active power throughout your lines. This module of software will be put to the test in the cases of IEEE 9 bars and IEEE 39 bars, to verify the veracity of the results found to create simulations in the software Power Factory that will certify it. Once the modules are developed and the results found for each case planned it can conclude to the disadvantages and advantages present in each software module.