Joint expansion planning of distribution networks, EV charging stations and wind power generation under uncertainty

This paper describes the consideration of uncertainty in distribution system expansion planning (DSEP) including electric vehicles (EV) and the possibility of joint investment in EV charging stations (EVCS) and wind power generators. The charging demand necessary for EVs transportation is performed using a vehicle decision model based on travel patterns. Several alternatives are available for the installation of EVCS, feeders, transformers and wind power generators. Consequently, the optimal expansion plan selects the best alternative and location for the candidate assets considering uncertainty associated to demand, wind speed and EV charging demand. The uncertainty is characterized through a set of scenarios that explicitly capture the correlation between the uncertain sources. The problem is defined as a stochastic-programming-based model driven by the minimization of the annualized investment, maintenance, production, losses and non-supplied energy costs. The resulting associated scenario-based deterministic is formulated as a mixed-integer linear program for which infinite convergence to optimality is guaranteed. A 24-bus system case study is provided illustrating the results of the proposed approach.