A convex optimization model to minimize energy losses in distribution systems
Abstract
The integration of renewable energies into the distribution network has changed the operating paradigm of the conventional distribution electrical network, thus emerging the concept of smart grids (IR), where loads and distributed generation groups are managed in a coordinated manner. (GD) in order to maintain the electrical distribution system reliable, safe and with optimal operation. Due to this, it is necessary to have mathematical models of convex optimization, which guarantee the uniqueness and convergence of the solutions (global optimum), so a convex model of semi-definite programming (SD) was made, which due to its intrinsic mathematical properties helped to obtain a relaxed model that guarantees the solution of the algorithm. To counteract the model, the IEEE 37-node feeder test was used, thus achieving a solution in the total losses of the distribution network with an error of 3% compared to conventional methods, such as nonlinear programming (NLP) and programming. quadratic.
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