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Optimal Control Of An Energy Storage Facility Under A Changing Economic Environment And Partial Information

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  • ANTON A. SHARDIN

    (Mathematical Institute, BTU Cottbus-Senftenberg, Platz der Deutschen Einheit 1, Cottbus 03044, Germany)

  • MICHAELA SZÖLGYENYI

    (Institute of Statistics and Mathematics, Vienna University of Economics and Business, Welthandelsplatz 1, Vienna 1020, Austria)

Abstract

In this paper, we consider an energy storage optimization problem in finite time in a model with partial information that allows for a changing economic environment. The state process consists of the storage level controlled by the storage manager and the energy price process, which is a diffusion process the drift of which is assumed to be unobservable. We apply filtering theory to find an alternative state process which is adapted to our observation filtration. For this alternative state process, we derive the associated Hamilton–Jacobi–Bellman equation and solve the optimization problem numerically. This results in a candidate for the optimal policy for which it is a priori not clear whether the controlled state process exists. Hence, we prove an existence and uniqueness result for a class of time-inhomogeneous stochastic differential equations with discontinuous drift and singular diffusion coefficient. Finally, we apply our result to prove admissibility of the candidate optimal control.

Suggested Citation

  • Anton A. Shardin & Michaela Szölgyenyi, 2016. "Optimal Control Of An Energy Storage Facility Under A Changing Economic Environment And Partial Information," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 19(04), pages 1-27, June.
    • Handle: RePEc:wsi:ijtafx:v:19:y:2016:i:04:n:s0219024916500266
    DOI: 10.1142/S0219024916500266
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    References listed on IDEAS

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    Cited by:

    1. Przybyłowicz, Paweł & Szölgyenyi, Michaela, 2021. "Existence, uniqueness, and approximation of solutions of jump-diffusion SDEs with discontinuous drift," Applied Mathematics and Computation, Elsevier, vol. 403(C).
    2. David Andrés‐Cerezo & Natalia Fabra, 2023. "Storing power: market structure matters," RAND Journal of Economics, RAND Corporation, vol. 54(1), pages 3-53, March.
    3. Przybyłowicz, Paweł & Szölgyenyi, Michaela & Xu, Fanhui, 2021. "Existence and uniqueness of solutions of SDEs with discontinuous drift and finite activity jumps," Statistics & Probability Letters, Elsevier, vol. 174(C).

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