Integrating Risk Assessment into the Optimal Placement and Sizing of Distributed Generation and Capacitor Banks in Power Distribution Networks

This paper proposes a new methodology for determining the optimal size and location of shunt capacitor banks (CBs) and distributed generators (DGs) in power distribution systems. The proposed methodology considers uncertainties arising from demand forecasts, equipment failures, and the availability of primary energy resources for wind and solar plants. The methodology employs a master-slave configuration that first allocates DGs to minimize the risk of not serving the demand and then uses a mixed-integer linear mathematical model to obtain the sizes of DGs and the size and location of CBs to minimize losses. The proposed method outperforms deterministic methods and is effective in addressing the random nature of variables while improving the voltage profile and reducing technical losses. Results on a Brazilian system demonstrate the coherence of the proposed method with the level of uncertainties involved.