In recent years, battery storage systems have been widely studied in electrical networks. However, most of the studies have focused on active power in batteries. But, batteries can also produce or absorb reactive power. As well, impact of batteries on stability of the network has not been adequately addressed. Both the mentioned issues (i.e., reactive power and stability) make great impact on the battery utility such as ability of battery in energy management and power control. In order to overcome these shortcomings, current paper realizes a new control strategy on batteries for decoupled active-reactive power control. The proposed control strategy alters active power subject to constant reactive power and vice-versa. Two control loops are designed to control active and reactive powers. The control loops are equipped with PI controllers (i.e., tracking controllers). As well, both control loops of active and reactive powers are equipped with supplementary stabilizers (i.e., regulatory controllers). All controllers are simultaneously tuned by cultural-PSO-co-evolutionary (CPCE) algorithm. Several cases are simulated to demonstrate the effectiveness of the introduced strategy. It is verified that the proposed strategy is an efficient methodology to utilize battery storage systems and arising all abilities and benefits of the batteries at the same time.