@article{825d31a6a9ea4630949c07a37210a0c5,
title = "Scheduling of energy storage",
abstract = "The increasing reliance on renewable energy generation means that storage may well play a much greater role in the balancing of future electricity systems. We show how heterogeneous stores, differing in capacity and rate constraints, may be optimally, or nearly optimally, scheduled to assist in such balancing, with the aim of minimizing the total imbalance (unserved energy) over any given period of time. It further turns out that in many cases the optimal policies are such that the optimal decision at each point in time is independent of the future evolution of the supply-demand balance in the system, so that these policies remain optimal in a stochastic environment. This article is part of the theme issue 'The mathematics of energy systems'.",
keywords = "energy storage, greedy policy, optimal scheduling",
author = "Stan Zachary and Tindemans, {Simon H.} and Evans, {Michael P.} and Cruise, {James R.} and David Angeli",
note = "Funding Information: Data accessibility. This article has no additional data. Authors{\textquoteright} contributions. All the authors conceived the model and carried out the mathematics. S.Z. and S.T. drafted the manuscript. All authors read and approved the manuscript. Competing interests. We declare we have no competing interests. Funding. This work was supported by the Engineering and Physical Sciences Research Council (EPSRC)— grant no. EP/I017054/1—and a grant from the Simons Foundation. It also received support from The Alan Turing Institute under the EPSRC grant no. EP/N510129/1 and the Lloyd{\textquoteright}s Register Foundation-Alan Turing Institute programme on Data-Centric Engineering under the LRF grant no. G0095. Acknowledgements. The authors are grateful to the Isaac Newton Institute for Mathematical Sciences in Cambridge and to National Grid plc for their support for the programme in which much of the current work was carried out. They also thank Andy Philpott for some helpful literature discussion. Finally, the authors are especially grateful to the reviewers for their most careful and thoughtful readings of the paper and helpful comments and suggestions. Publisher Copyright: {\textcopyright} 2021 The Author(s).",
year = "2021",
month = jul,
day = "26",
doi = "10.1098/rsta.2019.0435",
language = "English",
volume = "379",
journal = "Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences",
issn = "1364-503X",
publisher = "The Royal Society",
number = "2202",
}
