Modeling and optimization of activated sludge bioreactors for wastewater treatment taking into account spatial inhomogeneities

In this work, we study optimal and suboptimal control strategies for the treatment of a polluted water resource by using aside a continuous bioreactor. The control consists in choosing the inlet volumetric flow rate for filling the bioreactor with contaminated water from a considered resource (lake,...

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Detalhes bibliográficos
Autores: Crespo, M., Ivorra, Benjamín Pierre Paul, Ramos Del Olmo, Ángel Manuel, Rapaport, Alain
Formato: artículo
Fecha de publicación:2017
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/17811
Acesso em linha:https://hdl.handle.net/20.500.14352/17811
Access Level:acceso abierto
Palavra-chave:517.5
Advection diffusion reaction model
Bioreactor
Optimal control
Water treatment
Funciones (Matemáticas)
1202 Análisis y Análisis Funcional
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spelling Modeling and optimization of activated sludge bioreactors for wastewater treatment taking into account spatial inhomogeneitiesCrespo, M.Ivorra, Benjamín Pierre PaulRamos Del Olmo, Ángel ManuelRapaport, Alain517.5Advection diffusion reaction modelBioreactorOptimal controlWater treatmentFunciones (Matemáticas)1202 Análisis y Análisis FuncionalIn this work, we study optimal and suboptimal control strategies for the treatment of a polluted water resource by using aside a continuous bioreactor. The control consists in choosing the inlet volumetric flow rate for filling the bioreactor with contaminated water from a considered resource (lake, reservoir, water-table, …). The treated outflow returns to the resource. We tackle an optimization problem which aims to minimize the time needed to reach a prescribed minimal value of contamination in the resource by choosing the input flow. Next, we study the influence of inhomogeneities of concentrations in the bioreactor, considering a system based on partial differential equations which describe its dynamics. We show that applying the optimal feedback control derived for perfectly mixed bioreactor does not allow to reach the target with small diffusion parameters as it drives the bioreactor to washout (the bioreactor equilibrium with no biomass). In this case, a suboptimal feedback (which reaches the target in finite time) is obtained with the help of a Hybrid Genetic Algorithm. Furthermore, we consider that the fluid flow velocity of the water entering into the bioreactor follows either a uniform or a nonuniform profile, showing that the optimal volumetric flow rates obtained with the uniform profile are not optimal if the profile is nonuniform, even when high diffusion coefficients are considered in the model.ElsevierUniversidad Complutense de Madrid20172017-01-0120172017-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/17811reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/178112026-06-02T12:44:21Z
dc.title.none.fl_str_mv Modeling and optimization of activated sludge bioreactors for wastewater treatment taking into account spatial inhomogeneities
title Modeling and optimization of activated sludge bioreactors for wastewater treatment taking into account spatial inhomogeneities
spellingShingle Modeling and optimization of activated sludge bioreactors for wastewater treatment taking into account spatial inhomogeneities
Crespo, M.
517.5
Advection diffusion reaction model
Bioreactor
Optimal control
Water treatment
Funciones (Matemáticas)
1202 Análisis y Análisis Funcional
title_short Modeling and optimization of activated sludge bioreactors for wastewater treatment taking into account spatial inhomogeneities
title_full Modeling and optimization of activated sludge bioreactors for wastewater treatment taking into account spatial inhomogeneities
title_fullStr Modeling and optimization of activated sludge bioreactors for wastewater treatment taking into account spatial inhomogeneities
title_full_unstemmed Modeling and optimization of activated sludge bioreactors for wastewater treatment taking into account spatial inhomogeneities
title_sort Modeling and optimization of activated sludge bioreactors for wastewater treatment taking into account spatial inhomogeneities
dc.creator.none.fl_str_mv Crespo, M.
Ivorra, Benjamín Pierre Paul
Ramos Del Olmo, Ángel Manuel
Rapaport, Alain
author Crespo, M.
author_facet Crespo, M.
Ivorra, Benjamín Pierre Paul
Ramos Del Olmo, Ángel Manuel
Rapaport, Alain
author_role author
author2 Ivorra, Benjamín Pierre Paul
Ramos Del Olmo, Ángel Manuel
Rapaport, Alain
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.5
Advection diffusion reaction model
Bioreactor
Optimal control
Water treatment
Funciones (Matemáticas)
1202 Análisis y Análisis Funcional
topic 517.5
Advection diffusion reaction model
Bioreactor
Optimal control
Water treatment
Funciones (Matemáticas)
1202 Análisis y Análisis Funcional
description In this work, we study optimal and suboptimal control strategies for the treatment of a polluted water resource by using aside a continuous bioreactor. The control consists in choosing the inlet volumetric flow rate for filling the bioreactor with contaminated water from a considered resource (lake, reservoir, water-table, …). The treated outflow returns to the resource. We tackle an optimization problem which aims to minimize the time needed to reach a prescribed minimal value of contamination in the resource by choosing the input flow. Next, we study the influence of inhomogeneities of concentrations in the bioreactor, considering a system based on partial differential equations which describe its dynamics. We show that applying the optimal feedback control derived for perfectly mixed bioreactor does not allow to reach the target with small diffusion parameters as it drives the bioreactor to washout (the bioreactor equilibrium with no biomass). In this case, a suboptimal feedback (which reaches the target in finite time) is obtained with the help of a Hybrid Genetic Algorithm. Furthermore, we consider that the fluid flow velocity of the water entering into the bioreactor follows either a uniform or a nonuniform profile, showing that the optimal volumetric flow rates obtained with the uniform profile are not optimal if the profile is nonuniform, even when high diffusion coefficients are considered in the model.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01
2017
2017-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/17811
url https://hdl.handle.net/20.500.14352/17811
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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