Affiliation:
1. Grupo de Compatibilidad e Interferencia Electromagnética (GCEM), Facultad de Ingeniería, Universidad Distrital Francisco José de Caldas, 110231 Bogotá, Colombia
Abstract
This paper addresses the problem concerning the efficient minimization of power losses in asymmetric distribution grids from the perspective of convex optimization. This research’s main objective is to propose an approximation optimization model to reduce the total power losses in a three-phase network using the concept of electrical momentum. To obtain a mixed-integer convex formulation, the voltage variables at each node are relaxed by assuming them to be equal to those at the substation bus. With this assumption, the power balance constraints are reduced to flow restrictions, allowing us to formulate a set of linear rules. The objective function is formulated as a strictly convex objective function by applying the concept of average electrical momentum, by representing the current flows in distribution lines as the active and reactive power variables. To solve the relaxed MIQC model, the GAMS software (Version 28.1.2) and its CPLEX, SBB, and XPRESS solvers are used. In order to validate the effectiveness of load redistribution in power loss minimization, the initial and final grid configurations are tested with the triangular-based power flow method for asymmetric distribution networks. Numerical results show that the proposed mixed-integer model allows for reductions of 24.34%, 18.64%, and 4.14% for the 8-, 15-, and 25-node test feeders, respectively, in comparison with the benchmark case. The sine–cosine algorithm and the black hole optimization method are also used for comparison, demonstrating the efficiency of the MIQC approach in minimizing the expected grid power losses for three-phase unbalanced networks.
Reference39 articles.
1. CREG (2018). Resolución CREG 015 de 2018: By which the Methodology for the Remuneration of the Electricity Distribution Activity in the National Interconnected System, (In Spanish).
2. Montoya, O.D., Giraldo, J.S., Grisales-Noreña, L.F., Chamorro, H.R., and Alvarado-Barrios, L. (2021). Accurate and Efficient Derivative-Free Three-Phase Power Flow Method for Unbalanced Distribution Networks. Computation, 9.
3. Montoya, O.D., Arias-Londoño, A., Grisales-Noreña, L.F., Barrios, J.Á., and Chamorro, H.R. (2021). Optimal Demand Reconfiguration in Three-Phase Distribution Grids Using an MI-Convex Model. Symmetry, 13.
4. Alhmoud, L., Nawafleh, Q., and Merrji, W. (2021). Three-Phase Feeder Load Balancing Based Optimized Neural Network Using Smart Meters. Symmetry, 13.
5. Cavalheiro, E.M.B., and Lyra, C. (2019, January 15–18). Optimal Configuration of Power Distribution Networks with Small Intermittent Energy Sources. Proceedings of the 2019 IEEE PES Innovative Smart Grid Technologies Conference—Latin America (ISGT Latin America), Gramado, Brazil.