A Mixed-Integer Convex Model for the Optimal Placement and Sizing of Distributed Generators in Power Distribution Networks

The optimal placement and sizing of distributed generators is a classical problem in power distribution networks that usually solved using heuristic algorithms due to its high complexity. This paper proposes different approach based on mixed-integer second-order cone programming (MI-SOCP) model ensures the global optimum relaxed optimization model. Second-order (SOCP) has demonstrated be an efficient alternative cope with non-convexity flow equations networks. Of relatively new interest systems community extension MI-SOCP models. proposed approximation. However, numerical validations IEEE 33-bus 69-bus test for unity variable factor confirm finds best solutions reported literature. Being exact technique, allows minimum processing times zero standard deviation, i.e., same guaranteed at each time (a significant advantage comparison metaheuristics). Additionally, load photovoltaic generation curves 69-node system are included demonstrate applicability solve location renewable multi-period formulation. Therefore, also guarantees finding, contrast local achieved nonlinear solvers available GAMS software. All simulations were carried out via MATLAB software CVX package Gurobi solver.