Robust distribution networks reconfiguration considering the improvement of network resilience considering renewable energy resources

The paper presents a dynamic smart grid reconfiguration problem, structured as a second-order cone optimization model, encompassing Eq. (1) to (29). The crux of this model, as outlined in Eq. (1), is a multi-faceted objective function with three key objectives: Firstly, it aims to diminish power loss in network lines, expressed as ({{c}^{l}r}_{b}left({p}_{b,h}^{2}+{p}_{b,h}^{2}right)). Secondly, it endeavors to curtail the costs incurred from electricity acquisition at distribution substations, symbolized by ({c}^{s}left({p}_{h}^{s}+{q}_{h}^{s}right)). Thirdly, minimizing the vulnerability of the system caused by the interruption of the real and reactive load shown by ({c}^{r}left({p}_{n,h}^{r}+{q}_{n,h}^{r}right)). The model delineates various sets within its scope: network buses ((N)), time periods ((H)), and grid lines ((B)), with respective indices (n), (h), (b).