| Issue |
Math. Model. Nat. Phenom.
Volume 16, 2021
|
|
|---|---|---|
| Article Number | 37 | |
| Number of page(s) | 40 | |
| DOI | https://doi.org/10.1051/mmnp/2021029 | |
| Published online | 15 June 2021 | |
An extremal problem with applications to renewable energy production
1
IMUS – Instituto de Matemáticas de la Universidad de Sevilla,
Seville, Spain.
2
Dep. EDAN and IMUS, Universidad de Sevilla,
Seville, Spain.
* Corresponding author: tiashley@uloyola.es
Received:
3
March
2021
Accepted:
16
May
2021
Dynamic optimisation provides complex challenges for optimal solution, but greatly increases applicability when considering time dependent situations. In this work, a constrained dynamic optimisation problem is analysed and subsequently applied to the resolution of a real-world engineering problem concerning Solar Power Tower plants. We study the existence of solutions and deduce an appropriate optimality characterisation in this applied framework. Two iterative algorithms are presented, convergence properties are discussed and a numerical illustration is given utilising realistic data. Finally, conclusions are drawn on the considered model and some ideas for future work are discussed.
Mathematics Subject Classification: 90C46 / 90C39 / 37N40 / 37M05
Key words: Dynamic optimisation / continuous optimisation / operations research / applications / aiming strategies for Solar Power Tower plants
© The authors. Published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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