  We use simulation to compare different power flow models in the process of
charging electric vehicles (EVs) by considering their random arrivals, their
stochastic demand for energy at charging stations, and the characteristics of
the electricity distribution network. We assume the distribution network is a
line with charging stations located on it. We consider the Distflow and the
Linearized Distflow power flow models and we assume that EVs arrive at the
network with an exponential rate, have an exponential charging requirement, and
that voltage drops on the distribution network stay under control. We provide
extensive numerical results investigating the effect of using different power
flow models on the performance of the network.
