Critical behaviour in charging of electric vehicles
arXiv:1501.06957 · doi:10.1088/1367-2630/17/9/095001
Abstract
The increasing penetration of electric vehicles over the coming decades, taken together with the high cost to upgrade local distribution networks and consumer demand for home charging, suggest that managing congestion on low voltage networks will be a crucial component of the electric vehicle revolution and the move away from fossil fuels in transportation. Here, we model the max-flow and proportional fairness protocols for the control of congestion caused by a fleet of vehicles charging on two real-world distribution networks. We show that the system undergoes a continuous phase transition to a congested state as a function of the rate of vehicles plugging to the network to charge. We focus on the order parameter and its fluctuations close to the phase transition, and show that the critical point depends on the choice of congestion protocol. Finally, we analyse the inequality in the charging times as the vehicle arrival rate increases, and show that charging times are considerably more equitable in proportional fairness than in max-flow.
arXiv comment19 pages, 6 figures
References in corpus (14)
- Synchronization in complex networks
- Convex Relaxation of Optimal Power Flow, Part I: Formulations and Equivalence
- Spontaneous synchrony in power-grid networks
- Optimal network topologies for local search with congestion
- Convex Relaxation of Optimal Power Flow, Part II: Exactness
- Exact Convex Relaxation of Optimal Power Flow in Radial Networks
- Communication in networks with hierarchical branching
- Entangled networks, synchronization, and optimal network topology
- Robustness of the European power grids under intentional attack
- Geometry of Power Flows and Optimization in Distribution Networks
- Models for the modern power grid
- Resilience of natural gas networks during conflicts, crises and disruptions
- Transdisciplinary electric power grid science
- A multiobjective optimization approach to statistical mechanics
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- Economic Viability and Infrastructure Requirements for the Electrification of Highway Traffic