Comparison of stability regions for a line distribution network with stochastic load demands

Abstract We compare stability regions for different power flow models in the process of charging electric vehicles (EVs) by considering their random arrivals, stochastic demand energy at stations, and characteristics electricity distribution network. assume network is a line with stations located on it. consider Distflow Linearized models, we that EVs have an exponential requirement, voltage drops stay under control, number N goes to infinity. investigate utility-optimizing allocations large networks both controlling arrival rate stations. For show that, obtain stability, maximum feasible rate, i.e., region vehicles, decaying as $$1/N^2$$ 1 / N 2 , difference between those rates up constants, which explicitly.