@article{De:2015:10.1109/TSG.2015.2405338,
author = {De, Paola A and Angeli, D and Strbac, G},
doi = {10.1109/TSG.2015.2405338},
journal = {IEEE Transactions on Smart Grid},
pages = {1119--1127},
title = {Distributed Control of Micro-Storage Devices With Mean Field Games},
url = {http://dx.doi.org/10.1109/TSG.2015.2405338},
volume = {7},
year = {2015}
}

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TY  - JOUR
AB  - This paper proposes a fully distributed control strategyfor the management of micro-storage devices that performenergy arbitrage. For large storage populations the problem canbe approximated as a differential game with infinite players(Mean Field Game). Through the resolution of coupled partialdifferential equations (PDEs), it is possible to determine, as afixed point, the optimal feedback strategy for each player andthe resulting price of energy if that strategy is applied. Oncethis price is calculated, it can be communicated to the deviceswhich are able to independently determine their optimal chargeprofile. Simulation results are provided, calculating the fixedpoint through numerical integration of the PDEs. The originalmodel is then extended in order to consider additional elementssuch as multiple population of devices and demand uncertainty.
AU  - De,Paola A
AU  - Angeli,D
AU  - Strbac,G
DO  - 10.1109/TSG.2015.2405338
EP  - 1127
PY  - 2015///
SN  - 1949-3061
SP  - 1119
TI  - Distributed Control of Micro-Storage Devices With Mean Field Games
T2  - IEEE Transactions on Smart Grid
UR  - http://dx.doi.org/10.1109/TSG.2015.2405338
UR  - http://hdl.handle.net/10044/1/32090
VL  - 7
ER  - 

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