Optimal Placement and Sizing of D-STATCOMs in Electrical Distribution Networks Using a Stochastic Mixed-Integer Convex Model

This paper addresses the problem regarding optimal placement and sizing of distribution static synchronous compensators (D-STATCOMs) in electrical networks via a stochastic mixed-integer convex (SMIC) model complex domain. The proposed employs convexification technique based on relaxation hyperbolic constraints, transforming nonlinear programming into one. nature renewable energy demand is taken account multiple scenarios with three different levels generation demand. SMIC adds power transfer losses D-STATOMs order to size them adequately. Two objectives are contemplated aim minimizing annual installation operating costs, which makes it multi-objective. Three simulation cases demonstrate effectiveness compared solvers General Algebraic Modeling System. results show that achieves global optimum, reducing costs by 29.25, 60.89, 52.54% for modified IEEE 33-, 69-, 85-bus test systems, respectively.