Optimal Stochastic Control of Energy Storage System Based on Pontryagin Minimum Principle for Flattening PEV Fast Charging in a Service Area

This letter discusses stochastic optimal control of an energy storage system (ESS) for reducing the impact on the grid of fast charging of electric vehicles in a charging area. A trade off is achieved between the objectives of limiting the charging power exchanged with the grid, and the one of limit...

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Bibliographic Details
Published in:IEEE control systems letters 2022, Vol.6, p.247-252
Main Authors: Liberati, Francesco, Giorgio, Alessandro Di, Koch, Giorgio
Format: Article
Language:English
Subjects:
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energy storage system
fast charging control
Hybrid power systems
Microgrids
Optimal control
plug-in electric vehicles
Pontryagin minimum principle
Power demand
Stochastic processes
Trajectory
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Summary:This letter discusses stochastic optimal control of an energy storage system (ESS) for reducing the impact on the grid of fast charging of electric vehicles in a charging area. A trade off is achieved between the objectives of limiting the charging power exchanged with the grid, and the one of limiting the fluctuation, around a given reference, of the ESS energy. We show that the solution of the problem can be derived from the one of a related deterministic problem, requiring the realistic assumption that the charging area operator knows an estimate of the aggregated charging power demand over the day. In addition, two alternative configurations of the charging area are discussed, and it is shown that, while they share the same solution, one better mitigates the demand uncertainty. Numeric simulations are provided to validate the proposed approach.
ISSN:2475-1456
2475-1456
DOI:10.1109/LCSYS.2021.3066155