Stochastic modelling of EV charging at charging stations

It is reasonable to suppose that not every electric car will be charged at home sockets: some vehicle owners will eventually use charging stations. There are two options for such a charging station: it can be built either at the parking lots of shopping centers, or along highways, similar to the gas stations of today. These charging stations of course require additional feed-in of electric energy. To calculate the necessary capacity of such infeed one has to know the main operating parameters of the charging stations, such as the number of charging sockets or the parking capacity of the station. Another important parameter is the time needed to charge the battery. People do not like waiting, so a charging station must be designed taking these constraints into consideration. In this article the mathematical model of charging stations is proposed, followed by the results of the numerical simulations based on stochastic modelling of EV charging.