Optimal Adjustment of Reactive Power in Transmission Systems by Variation of Taps in Static Elements Using the Mean-Variance Mapping Optimization Algorithm

This work focuses on the problem of optimal reactive power adjustment (ORPA) in electric power systems (EPSs) by implementing the Mean-Variance Mapping Algorithm (MVMO) focusing on the control of static devices such as taps in transformers and static capacitor banks. The study focuses on IEEE test systems of 39 and 118 buses using MATLAB R2024b together with the MATPOWER toolbox. The main novelty lies in the application of the MVMO algorithm to solve the ORPA problem considering only static control elements, which allows an efficient and practical solution with lower computational complexity; through statistical analysis, the performance of each of the algorithms was evaluated where it was experimentally shown that MVMO presents a better performance in terms of reducing active power losses and improving voltage profiles compared to the PSO algorithm.