Application of the Theory of Absorbing Markov Processes, for Estimating the Load of Road Sections and Charging Stations, for Electric Car Transport

Abstract

Due to the short range of pure electric vehicles, considering a long trip, the number and the locations of electric charging stations, especially the distance between consecutive charging stations, is a basic question, because the discharged battery must be recharged quite frequently. Today, the network of electric charging stations is unsatisfactory. During the construction of new and expansion of existing networks, the load of roads and the utilization of existing or imagined charging stations must be taken into account. For the estimation of these features, a perfect mathematical tool, is the theory of absorbing Markov- chains. In this article a possible mathematical model, using Markov-chains, extended by the logit regression model will be presented.