A Chance-constrained Optimization Combined with Soft Open Points and Volt/Var Control under Uncertainties in Distribution Networks

With more and more photovoltaics (PVs) integrated into distribution networks, their drastically fluctuating nature may lead to voltage limits violation. However, the existing studies only focus on capacitor bank dispatching, which cannot address the drastic fluctuation of PV outputs. To adapt to the fast and continuous variation of PVs outputs in the distribution networks, this paper proposes a joint optimization of capacitor banks (CBs) and soft open points (SOPs). A chance-constrained model is established including the nonlinear equations of SOPs. Then, the second-order conic is applied to SOPs equations for efficient and accurate solving of the model. Finally, a cluster satisfying the given confidence level is formed by a proposed heuristic method to improve calculation efficiency. The numerical simulations on distribution networks show the efficiency and accuracy of the proposed algorithm over the existing methods.