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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.19615 |
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| _version_ | 1866909408632504320 |
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| author | Alvarez-Vazquez, L. J. Martinez, A. Vazquez-Mendez, M. E. |
| author_facet | Alvarez-Vazquez, L. J. Martinez, A. Vazquez-Mendez, M. E. |
| contents | In this work we present a novel methodology to deal with the optimal performance of raceways (open-channel ponds where the circulating wastewater, during its purification process, is used to grow algae that will be used as a source for the production of bioenergy). The maximization of algal productivity is addressed here within an optimal control framework for partial differential equations. Thus, after introducing a rigorously detailed mathematical formulation of the real-world control problem, we prove the existence of optimal solutions, we propose a numerical algorithm for its computational resolution and, finally, we show some results for the numerical optimization of a realistic case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19615 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimal management of open-channel raceway ponds for cultivation of algal biomass intended for bioenergy production Alvarez-Vazquez, L. J. Martinez, A. Vazquez-Mendez, M. E. Optimization and Control In this work we present a novel methodology to deal with the optimal performance of raceways (open-channel ponds where the circulating wastewater, during its purification process, is used to grow algae that will be used as a source for the production of bioenergy). The maximization of algal productivity is addressed here within an optimal control framework for partial differential equations. Thus, after introducing a rigorously detailed mathematical formulation of the real-world control problem, we prove the existence of optimal solutions, we propose a numerical algorithm for its computational resolution and, finally, we show some results for the numerical optimization of a realistic case. |
| title | Optimal management of open-channel raceway ponds for cultivation of algal biomass intended for bioenergy production |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2411.19615 |