On the Optimal Selection and Integration of Batteries in DC Grids through a Mixed-Integer Quadratic Convex Formulation

This paper deals with the problem of optimal selection and location batteries in DC distribution grids by proposing a new mixed-integer convex model. The exact nonlinear model is transformed into quadratic (MIQC) approximating product among voltages power balance equations as hyperplane. most important characteristic our proposal that MIQC formulations ensure global optimum reaching via branch & bound methods programming since each combination binary variables generates node optimization subproblem. formulation objective function associated minimization energy losses for daily operation scenario considering high renewable penetration. Numerical simulations show effectiveness proposed to reach when compared 21-node test feeder. All validations are carried out GAMS software.