“…Table 7 presents the simulation results for each of the simulation cases 1, 3, and 4, considering that the objective of minimization is given by Equation (25), where the renewable generation is operated under nominal conditions. Note that C 2 is not analyzed since it is not typical that batteries are used only for reactive compensation due to its main purpose in electrical networks is to provide active compensation service [42]. The numerical results in Table 7 shows that, (1) comparing C 1 with C 4 , the greenhouse gas emissions of CO 2 are reduced about 8.49% and 8.69% regarding daily operative costs with the inclusion of the battery energy storage systems with apparent power compensation capabilities and, (2) if these results are compared with C 3 , then we observe that the reduction regarding the base case are about 5.55%, and 6.02%, which demonstrates the positive effects of including reactive power capabilities of batteries to improve the grid performance of the distribution networks in relation with greenhouse gas emissions and energy purchasing costs, since additional 2.94%, and 2.67% where reactive power is introduced, respectively.…”