Optimal allocation of distributed solar photovoltaic generation on electrical distribution system under uncertainties

This paper proposes a new method to select the optimal setting and sizing of distributed solar photovoltaic generation (SPVG) in a radial electrical distribution systems (EDS) considering load/ generation uncertainties. Here, distributed generations (DGs) allocation problem is modeled as an optimization problem with a network loss based objective function under various equality and inequality constraints in an uncertain environment. A boundary power flow is utilized to address the uncertainties in load/generation. This approach reduces the requirement of statistical load/ generation data for uncertainty consideration. Uncertain solar irradiance is modeled by beta distribution function (BDF). The resulting optimization problem is solved by a new dynamic harmony search algorithm (DHSA). Dynamic bandwidth (DBW) based DHSA is proposed to enhance the search space and dynamically adjust the exploitation near the optimal solution. The proposed approach is demonstrated with two standard IEEE radial distribution systems under different scenarios.