Stochastic Optimal Allocation of Photovoltaic-Based DG and DSTATCOM in Distribution System Considering Uncertainties of Loads and Solar Irradiance

Power loss minimization, voltage profile improvement, reliability enhancement, and carbon emission minimization are major concerns of the distribution utility grid. In order to deal with the aforementioned concerns, this paper introduces a two-layer coordinated optimization framework for photovoltaic-based distributed generation (PV-DG) and distributed static compensator (DSTATCOM) in active distribution networks (ADN). It is composed of an outer layer optimization model and an inner layer optimization model, with the outer layer reflecting selection at the planning level and the inner layer representing selection at the operation level, respectively. For the purpose of managing the load and solar irradiance uncertainty, a stochastic module has been implemented. In addition, a better multi-grey wolf optimization (multi-GWO) solver was developed in order to tackle the issue of large-scale non-convex mixed integer nonlinear programming (MINLP). The suggested algorithm is validated on the IEEE 69 bus distribution system. The findings of the tests highlight how critical it is to find a stochastically optimal allocation of PV-DG and DSTATCOM in the distribution system.