Probabilistic Models for the Analysis of Electric Vehicle Fast-Charging Station and Photovoltaic Unit Impacts on the Operation of Active Distribution Grids

In this article, a probabilistic model is introduced to analyze the impact of uncertainties of aggregated electric vehicle (EV) charging station demand and photovoltaic (PV) injections in active distribution networks (ADNs). The solution technique is based on the combined cumulants and saddle-point approximation method. Moreover, based on the Weibull probability density function, the negative exponential model is combined with a constant power one to model a fast charging station (FCS). Numerical tests are provided and discussed by application of the IEEE 69-bus distribution test network. The study demonstrates how the uncertainty of ADN integrating FCSs and PV resources can be assessed. Moreover, the proposed methodology shows satisfactory performance with low computational costs.