Quotation Shardin, Anton A., Szölgyenyi, Michaela. 2016. Optimal control of an energy storage facility under a changing economic environment and partial information. International Journal of Theoretical and Applied Finance 19 (4), 1-27.


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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.

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Publication's profile

Status of publication Published
Affiliation WU
Type of publication Journal article
Journal International Journal of Theoretical and Applied Finance
WU Journalrating 2009 A
WU-Journal-Rating new FIN-A, STRAT-B, WH-B
Language English
Title Optimal control of an energy storage facility under a changing economic environment and partial information
Volume 19
Number 4
Year 2016
Page from 1
Page to 27
Reviewed? Y
DOI http://dx.doi.org/10.1142/S0219024916500266

Associations

People
Szölgyenyi, Michaela (Former researcher)
External
Shardin, Anton A. (BTU Cottbus-Senftenberg, Germany)
Organization
Institute for Statistics and Mathematics IN (Details)
Research areas (ÖSTAT Classification 'Statistik Austria')
1117 Actuarial mathematics (Details)
1118 Probability theory (Details)
1137 Financial mathematics (Details)
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