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Critical behaviour in charging of electric vehicles.

Carvalho, Rui and Buzna, Lubos and Gibbens, Richard and Kelly, Frank (2015) 'Critical behaviour in charging of electric vehicles.', New journal of physics., 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.

Item Type:Article
Full text:(VoR) Version of Record
Available under License - Creative Commons Attribution.
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Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1088/1367-2630/17/9/095001
Publisher statement:Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Date accepted:23 March 2016
Date deposited:23 March 2016
Date of first online publication:02 September 2015
Date first made open access:No date available

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