Robust optimum distribution network scheduling with distributed generations, electric vehicles, and storage units

Due to utilizing electric vehicles, distributed generations and energy storage units in the distribution networks, it is crucial to present a robust energy management to minimize total cost of the network with associated uncertainties including electrical demand, energy prices, behavior of electric vehicles, and renewable distributed generations. In this robust optimization, distribution network power flow, technical constraints such as bus voltage limits and transmission line limits, equations governing electric vehicles, energy storage units, and distributed generations are considered as the optimization constraints. Since the problem is nonlinear, achieving the absolute optimum with a fast resolve requires a linear model with a very low calculation error. In this study, aforementioned robust model is solved to simplify the distribution network operator's decisions. Finally, the proposed problem was applied to the standard IEEE 33-bus radial distribution network which reduced total costs by $523 751.