Optimal plug-in electric vehicle charging with schedule constraints

Andres Cortes, Sonia Martinez

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Citations (Scopus)

Abstract

This paper proposes a decentralized algorithm that allows a group of Plug-in Electric Vehicles (PEVs) to arrive at an optimal strategy to charge their batteries during the day. By communicating repeatedly with an energy coordinator, the PEVs adjust their battery-charging plans by means of a price-feedback signal that accounts for the aggregated demand. The algorithm allows PEVs to adjust their plan simultaneously while respecting schedule constraints at every iteration. The collective strategy is optimal in that it minimizes the overall price of the supplied energy and leads to an off-peak utilization of the grid. The algorithm is proven to converge to a solution by means of nonlinear analysis tools of discrete-time systems. In order to show convergence, we present a refinement of the LaSalle invariance principle for discrete-time systems. Simulations demonstrate the proficiency of the algorithm in two particular scenarios.

Original languageEnglish
Title of host publication2013 51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013
PublisherIEEE Computer Society
Pages262-266
Number of pages5
ISBN (Print)9781479934096
DOIs
Publication statusPublished - 2013
Event51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013 - Monticello, IL, United States
Duration: 2 Oct 20134 Oct 2013

Publication series

Name2013 51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013

Conference

Conference51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013
Country/TerritoryUnited States
CityMonticello, IL
Period2/10/134/10/13

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