An optimal control problem applied to a wastewater treatment plant
Main Author: | |
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Publication Date: | 2022 |
Other Authors: | , |
Format: | Article |
Language: | eng |
Source: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Download full: | http://hdl.handle.net/10773/35384 |
Summary: | This paper aims to present a mathematical model that describes the operation of an activated sludge system during one day. Such system is used in the majority of wastewater treatment plants and depends strongly on the dissolved oxygen, since it is a biological treatment. To guarantee the appropriate amount of dissolved oxygen, expensive aeration strategies are demanded, leading to high costs in terms of energy consumption. It was considered a typical domestic e uent as the wastewater to test the mathematical model and it was used the ASM1 to describe the activated sludge behaviour. An optimal control problem was formulated whose cost functional considers the trade-o between the minimization of the control variable herein considered (the dissolved oxygen) and the quality index that is the amount of pollution. The optimal control problem is treated as a nonlinear optimization problem after discretization by direct methods. The problem was then coded in the AMPL programming language in order to carry out numerical simulations using the NLP solver IPOPT from NEOS Server. |
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An optimal control problem applied to a wastewater treatment plantOptimal controlNonlinear optimizationActivated sludgeWasteater treatment plantThis paper aims to present a mathematical model that describes the operation of an activated sludge system during one day. Such system is used in the majority of wastewater treatment plants and depends strongly on the dissolved oxygen, since it is a biological treatment. To guarantee the appropriate amount of dissolved oxygen, expensive aeration strategies are demanded, leading to high costs in terms of energy consumption. It was considered a typical domestic e uent as the wastewater to test the mathematical model and it was used the ASM1 to describe the activated sludge behaviour. An optimal control problem was formulated whose cost functional considers the trade-o between the minimization of the control variable herein considered (the dissolved oxygen) and the quality index that is the amount of pollution. The optimal control problem is treated as a nonlinear optimization problem after discretization by direct methods. The problem was then coded in the AMPL programming language in order to carry out numerical simulations using the NLP solver IPOPT from NEOS Server.AIMS2022-12-05T11:24:26Z2022-01-01T00:00:00Z2022info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/35384eng1937-163210.3934/dcdss.2021153Monteiro, M. Teresa T.Santo, Isabel EspíritoRodrigues, Helena Sofiainfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T12:08:06Zoai:ria.ua.pt:10773/35384Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:06:24.172986Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
An optimal control problem applied to a wastewater treatment plant |
title |
An optimal control problem applied to a wastewater treatment plant |
spellingShingle |
An optimal control problem applied to a wastewater treatment plant Monteiro, M. Teresa T. Optimal control Nonlinear optimization Activated sludge Wasteater treatment plant |
title_short |
An optimal control problem applied to a wastewater treatment plant |
title_full |
An optimal control problem applied to a wastewater treatment plant |
title_fullStr |
An optimal control problem applied to a wastewater treatment plant |
title_full_unstemmed |
An optimal control problem applied to a wastewater treatment plant |
title_sort |
An optimal control problem applied to a wastewater treatment plant |
author |
Monteiro, M. Teresa T. |
author_facet |
Monteiro, M. Teresa T. Santo, Isabel Espírito Rodrigues, Helena Sofia |
author_role |
author |
author2 |
Santo, Isabel Espírito Rodrigues, Helena Sofia |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Monteiro, M. Teresa T. Santo, Isabel Espírito Rodrigues, Helena Sofia |
dc.subject.por.fl_str_mv |
Optimal control Nonlinear optimization Activated sludge Wasteater treatment plant |
topic |
Optimal control Nonlinear optimization Activated sludge Wasteater treatment plant |
description |
This paper aims to present a mathematical model that describes the operation of an activated sludge system during one day. Such system is used in the majority of wastewater treatment plants and depends strongly on the dissolved oxygen, since it is a biological treatment. To guarantee the appropriate amount of dissolved oxygen, expensive aeration strategies are demanded, leading to high costs in terms of energy consumption. It was considered a typical domestic e uent as the wastewater to test the mathematical model and it was used the ASM1 to describe the activated sludge behaviour. An optimal control problem was formulated whose cost functional considers the trade-o between the minimization of the control variable herein considered (the dissolved oxygen) and the quality index that is the amount of pollution. The optimal control problem is treated as a nonlinear optimization problem after discretization by direct methods. The problem was then coded in the AMPL programming language in order to carry out numerical simulations using the NLP solver IPOPT from NEOS Server. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-12-05T11:24:26Z 2022-01-01T00:00:00Z 2022 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10773/35384 |
url |
http://hdl.handle.net/10773/35384 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
1937-1632 10.3934/dcdss.2021153 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
AIMS |
publisher.none.fl_str_mv |
AIMS |
dc.source.none.fl_str_mv |
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instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799137718962225152 |