This document evaluates a master-slave methodology developed to address the problem regarding the reduction of energy losses in electrical distribution systems by integrating PV generators and distribution static compensators. The master stage employs several optimization techniques, including the vortex search algorithm, particle swarm optimization, the Chu & Beasley genetic algorithm, and the generalized normal distribution optimizer, all aimed at determining the optimal location and size of each component. On the other hand, the slave stage uses the three-phase version of the successive approximations method to evaluate the objective function. To validate the efficacy of this approach, it was tested on a 15-node and a 35-node system. This study showcases an effective approach to minimize energy losses by simultaneously integrating two elements into the distribution grid. The findings indicate that the vortex search algorithm outperforms the other three optimization methods, reducing the energy losses by 58.65751% in the 15-node system and 71.9151% in the 35-node system. All numerical validations were carried out in the Julia software, version 1.10.2.