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Stochastic distributed protocol for electric vehicle charging with discrete charging rate

Gan, Lingwen and Topcu, Ufuk and Low, Steven H. (2012) Stochastic distributed protocol for electric vehicle charging with discrete charging rate. In: 2012 IEEE Power and Energy Society General Meeting. IEEE , Piscataway, NJ, pp. 1-8. ISBN 978-1-4673-2727-5.

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To address the grid-side challenges associated with the anticipated high electric vehicle (EV) penetration level, various charging protocols have been proposed in the literature. Most if not all of these protocols assume continuous charging rates and allow intermittent charging. However, due to charging technology limitations, EVs can only be charged at a fixed rate, and the intermittency in charging shortens the battery lifespan. We consider these charging requirements, and formulate EV charging scheduling as a discrete optimization problem. We propose a stochastic distributed algorithm to approximately solve the optimal EV charging scheduling problem in an iterative procedure. In each iteration, the transformer receives charging profiles computed by the EVs in the previous iteration, and broadcasts the corresponding normalized total demand to the EVs; each EV generates a probability distribution over its potential charging profiles accordingly, and samples from the distribution to obtain a new charging profile. We prove that this stochastic algorithm almost surely converges to one of its equilibrium charging profiles, and each of its equilibrium charging profiles has a negligible sub-optimality ratio. Case studies corroborate our theoretical results.

Item Type:Book Section
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URLURL TypeDescription ItemTechnical Report
Low, Steven H.0000-0001-6476-3048
Additional Information:© 2012 IEEE. We express gratitude to Dr. Lijun Chen (Colorado State University and California Institute of Technology) for inspiring discussions. We would also like to thank ARO grant W911NF-08-1-0233, Bell Labs of Lucent-Alcatel, NSF NetSE grants CNS 0911041, Southern California Edison (SCE), Okawa Foundation, Boeing Corporation and Cisco.
Funding AgencyGrant Number
Army Research Office (ARO)W911NF-08-1-0233
Bell Labs of Alcatel-LucentUNSPECIFIED
Southern California EdisonUNSPECIFIED
Okawa FoundationUNSPECIFIED
Boeing CorporationUNSPECIFIED
Subject Keywords:distributed control, discrete optimization, stochastic algorithm, electric vehicle charging
Record Number:CaltechAUTHORS:20170810-112506562
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Official Citation:L. Gan, U. Topcu and S. H. Low, "Stochastic distributed protocol for electric vehicle charging with discrete charging rate," 2012 IEEE Power and Energy Society General Meeting, San Diego, CA, 2012, pp. 1-8. doi: 10.1109/PESGM.2012.6344847 URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80115
Deposited By: Pengcheng You
Deposited On:11 Aug 2017 22:39
Last Modified:15 Nov 2021 17:52

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