Statistical analysis and modeling of plug-in electric vehicle charging demand in distribution systems

Abstract

This paper establishes stochastic model of plug-in electric vehicle (PEV) charging and derives the probabilistic description of the electricity needs from EV charging for one charging station at any hour of a day. Three key variables are used to characterize the stochastic behavior of EV charging: starting time of charging, state of charge (SOC), and total number of charging EVs. The electricity needs of an EV charging station is a function of time, which can be depicted by the expectation of charging needs at a certain time of day. Numerical simulations are implemented to validate the proposed analysis approach and illustrate the impact of EVs' charging demand on the distribution systems.