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Stochastic Distributed Protocol for Electric Vehicle Charging with Discrete Charging Rate

Gan, Lingwen and Topcu, Ufuk and Low, Steven H. (2011) Stochastic Distributed Protocol for Electric Vehicle Charging with Discrete Charging Rate. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechCDSTR:2011.011

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Abstract

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:Report or Paper (Technical Report)
Additional Information: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.
Group:Control and Dynamical Systems Technical Reports
Funders:
Funding AgencyGrant Number
AROW911NF- 08-1-0233
Bell Labs of Lucent-AlcatelUNSPECIFIED
NSFCNS 0911041
Southern California EdisonUNSPECIFIED
Okawa FoundationUNSPECIFIED
Boeing CorporationUNSPECIFIED
CiscoUNSPECIFIED
Subject Keywords:distributed control, discrete optimization, stochastic algorithm, electric vehicle charging
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Control and Dynamical System Technical Reports2011.011
Record Number:CaltechCDSTR:2011.011
Persistent URL:http://resolver.caltech.edu/CaltechCDSTR:2011.011
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:28395
Collection:CaltechCDSTR
Deposited By: Lingwen Gan
Deposited On:09 Dec 2011 21:54
Last Modified:19 Jul 2013 18:20

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