Group-Theory for the Analysis of Heuristic Algorithms in Power Distribution Systems

This 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.