2020-03-262020-03-262018Proceedings of the 2018 IEEE PES Transmission and Distribution Conference and Exhibition - Latin America, T and D-LA 20189781538658444https://hdl.handle.net/20.500.12585/8861This paper applies group theory to four classic problems in power distribution systems, namely: phase balancing, primary feeder reconfiguration, optimal tap setting of voltage regulator transformers and optimal placement of fixed capacitors. The main focus of the paper is in the codification and the use of groups as a tool for analysis. A simple random search algorithm is used as a test for the first problem. It is demonstrated that the groups formalism allows a simple analysis of heuristics and could be an interesting path for future investigations. © 2018 IEEE.Recurso electrónicoapplication/pdfenghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/conferenceObject10.1109/TDC-LA.2018.8511647Group theoryMeta heuristicsOptimal placement of capacitorsPhase balancingPrimary feeder reconfigurationHeuristic algorithmsOptimizationVoltage regulatorsFixed capacitorsMeta heuristicsOptimal placementsPhase balancingPower distribution systemPrimary feederRandom search algorithmSimple analysisGroup theoryinfo:eu-repo/semantics/restrictedAccessAtribución-NoComercial 4.0 InternacionalUniversidad Tecnológica de BolívarRepositorio UTB36449223500571914936485720476209456919564100