A sliding window algorithm for energy distribution system with storage
| Autor: | Marouan Handa, Jean-Paul Chehab, Vivien Desveaux |
|---|---|
| Přispěvatelé: | Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352 (LAMFA), Université de Picardie Jules Verne (UPJV)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Mathematical optimization
Optimization problem Linear programming Computer science sliding window algorithm 020209 energy General Mathematics linear programming 02 engineering and technology Interval (mathematics) 010501 environmental sciences Network topology Grid 01 natural sciences optimization modeling Nonlinear programming Piecewise linear function Sliding window protocol 0202 electrical engineering electronic engineering information engineering nonlinear programming QA1-939 energy distribution system modeling [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] Mathematics 0105 earth and related environmental sciences |
| Zdroj: | AIMS Mathematics AIMS Mathematics, AIMS Press, 2021, 6 (11), pp.11815-11836. ⟨10.3934/math.2021686⟩ AIMS Mathematics, Vol 6, Iss 11, Pp 11815-11836 (2021) |
| ISSN: | 2473-6988 |
| DOI: | 10.3934/math.2021686⟩ |
| Popis: | This work is devoted to study optimization problems arising in energy distribution systems with storage. We consider a simplified network topology organized around four nodes: the load aggregator, the external grid, the consumption and the storage. The imported power from the external grid should balance the consumption and the storage variation. The merit function to minimize is the total price the load aggregator has to pay in a given time interval to enforce this balance. Two optimization problems are considered. The first one is linear and standard. It can be solved through classical optimization methods. The second problem is obtained from the previous one by taking into account a power subscription, which makes it piecewise linear. We establish mathematical properties on both these models. Finally, a new method based on a sliding window algorithm is derived. It allows to reduce drastically the computational time and makes feasible real time simulations. Numerical results are performed on real data to highlight both models and to illustrate the performance of the sliding window algorithm. |
| Databáze: | OpenAIRE |
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