In order to reduce carbon emissions, a growing reliance on renewable energy sources such as solar energy is required. As a result of their ability to store excess solar electricity that may be used at a later time to reduce waste and increase utility profits, battery energy storage systems (BESSs) have emerged as a factor for power systems that integrates solar power system. BESSs are traditionally put on buses in solar farms, allowing extra electricity via s. In order to reduce carbon emissions, a growing reliance on renewable energy sources such as solar energy is required. As a result of their ability to store excess solar electricity that may be used at a later time to reduce waste and increase utility profits, battery energy storage systems (BESSs) have emerged as a factor for power systems that integrates solar power system. BESSs are traditionally put on buses in solar farms, allowing extra electricity via solar to be stored instantaneously and transmission line losses to be kept to an absolute minimum. According to this placement strategy, BESS is exclusively built in the proximity of solar power plants. In this way, deployment of BESS without network topology consideration, and collaboration among BESSs is limited with capacity pooling to store excess electricity from photo voltaic (PV) panels. In this paper, we develop an optimal deployment of BESSs and it is associated with the estimation of the capacity using a multi-objective constraint modelling. The soft margin classifier minimize the curtailment associated with solar energy that considers both the power flow constraint and network topology. The results of entire model shows that the proposed soft margin classifier is efficient in storing the surplus power in the batter devices than other methods.••AllocationEnergyStorage systemsSolar energyThe idea of renewable energy (RE) has increased since decades. The intermittent nature of the supply of renewable energy (RE) increases the volatility of power generation at its sudden absence. Consequently, the reliability of renewable energy-integrated power systems is a challenge, as most current generators are incapable of responding rapidly enough to compensate for intermittent losses of renewable energy. However, if no storage facilities are available, excess renewable energy must be curtailed, reducing the potential earnings of renewable energy farm owners,,. When confronted with these difficulties, ESS as in Fig. 1 emerges as one of the most promising solutions with its ability of RE time shift at real-time requirements. That is to say, any excess RE can be kept for future use. Because of this innovation, intermittent electricity and waste are no longer a concern in the renewable energy sector. Aside from the fact that they are expensive and have poor conversion efficiency, ESSs have not been widely used in the past. The dynamic thermal rating system have taken precedence over other technologies, such as demand response programmes. Recent scientific and economic developments in ESS technology, on the other hand, have made it more viable than previous generations of technologies.The reliability of renewable energy-integrated power systems improves when. Analysis and meta-heuristic techniques are employed to maximize these benefits, which include direct numerical computation via thorough mathematical modelling, random and iterative procedures instead of ESS placement, and direct numerical computation through detailed mathematical modelling as in Fig. 2.The authors in describes how the authors employed an index approach for measuring loss sensitivity to optimize the location of their distribution network, utilizing the parameters of battery ESS (BESS) to improve their placements of distribution network. LSEI is defined as the total power loss, and the BESS parameter is defined as the generated power by BESS. The authors used stochastic MILP to determine the appropriate capacity and placement of BESS in order to maximize the energy and reduce the cost, hence lowering the overall cost of the system. The authors of, demonstrate how to optimize battery allocation as a transmission line compensator by combining an economic dispatch with mixed-integer unit.Using modified impedance matrix analysis, the authors of propose a new analytic-based optimization technique that may be used to replace the recursive load flow algorithm by predicting the power exchange between BESS and PV. This model develops an optimal deployment of BESSs and it is associated with the estimation of the capacity using a multi-objective constraint modelling. The soft margin classifier minimize the curtailment associated with solar energy that considers both the power flow constraint and network topology and shown as schematic in Fig. 3.