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Stochastic optimization of an Electric Vehicle Fleet Charging with Uncertain Photovoltaic Production

Authors: Le Goff Latimier, Roman; Multon, B; Ben Ahmed, Hamid; Baraer, Franck; Acquitter, Mickael;

Stochastic optimization of an Electric Vehicle Fleet Charging with Uncertain Photovoltaic Production

Abstract

Simultaneous development of photovoltaic generation and electric vehicles strengthens the solicitations on the electric power system. This paper investigates the possible synergy between these players to jointly improve the production predictability while ensuring a low carbon mobility. It stands for a step towards a quantification of its economic and environmental fallout. First a context is described for a PV-EV collaboration. Then this is gathered into an optimization problem. Grid commitment constraints, battery aging and mobility needs are here considered from the environmental point of view of equivalent primary energy. Finally, a resolution method is presented which achieve an time-efficient optimization of the power flow for each vehicle, based on upstream computed charging policies. It relies on a stochastic modeling of both vehicles availability and forecast error of the PV production. The resolution framework is the stochastic dynamic programming, coupled with on-line minimization so as to avoid the curse of dimensionality. The proposed resolution enables to compute optimal power flow for each vehicle, even among large fleets. The emphasis is here set on a versatile resolution method which could take over many detailed objective functions.

Country
France
Keywords

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC], Electric vehicles, [SPI.NRJ]Engineering Sciences [physics]/Electric power, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], Dynamic programming, [ SPI.NRJ ] Engineering Sciences [physics]/Electric power, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], Photovoltaic systems, Vehicle to Grid, [SPI.NRJ] Engineering Sciences [physics]/Electric power

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    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Average
Average
Green