Automatic completion of data gaps applied to a system of water pumps

Detalhes bibliográficos
Autor(a) principal: Enguiça, Ricardo
Data de Publicação: 2023
Outros Autores: Soares, Filipa
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.21/16024
Resumo: We consider a time series with real data from a water lift station, equipped with three water pumps which are activated and deactivated depending on certain starting and halting thresholds. Given the water level and the number of active pumps, both read every 5 min, we aim to infer when each pump was activated or deactivated. To do so, we build an algorithm that sets a hierarchy of criteria based on the past and future of a given interval to identify which thresholds have been crossed during that interval. We then fill the gaps between the 5 min time steps, modeling the water level continuously with a piecewise linear function. This filling takes into account not only every water level reading and every previously identified change of status, but also the fact that activation and deactivation of a pump has no immediate effect on water level. This allows for the fulfillment of the ultimate objective of the problem in its real context, which is to provide the water management company an estimate of how long each pump has been working. Additionally, our estimates correct the errors contained in the time series regarding the number of active pumps.
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spelling Automatic completion of data gaps applied to a system of water pumpsGap fillingTime seriesError correctionDiscrete-to-continuous modelWater pump systemWe consider a time series with real data from a water lift station, equipped with three water pumps which are activated and deactivated depending on certain starting and halting thresholds. Given the water level and the number of active pumps, both read every 5 min, we aim to infer when each pump was activated or deactivated. To do so, we build an algorithm that sets a hierarchy of criteria based on the past and future of a given interval to identify which thresholds have been crossed during that interval. We then fill the gaps between the 5 min time steps, modeling the water level continuously with a piecewise linear function. This filling takes into account not only every water level reading and every previously identified change of status, but also the fact that activation and deactivation of a pump has no immediate effect on water level. This allows for the fulfillment of the ultimate objective of the problem in its real context, which is to provide the water management company an estimate of how long each pump has been working. Additionally, our estimates correct the errors contained in the time series regarding the number of active pumps.MDPIRCIPLEnguiça, RicardoSoares, Filipa2023-05-15T08:23:08Z2023-04-032023-04-03T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/16024engENGUIÇA, Ricardo; SOARES, Filipa – Automatic completion of data gaps applied to a system of water pumps. Mathematics. eISSN 2227-7390. Vol. 11, N.º 7 (2022), pp. 1-15.10.3390/math110717072227-7390info: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:RCAAP2023-08-03T10:14:14Zoai:repositorio.ipl.pt:10400.21/16024Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:23:38.076805Repositório 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 Automatic completion of data gaps applied to a system of water pumps
title Automatic completion of data gaps applied to a system of water pumps
spellingShingle Automatic completion of data gaps applied to a system of water pumps
Enguiça, Ricardo
Gap filling
Time series
Error correction
Discrete-to-continuous model
Water pump system
title_short Automatic completion of data gaps applied to a system of water pumps
title_full Automatic completion of data gaps applied to a system of water pumps
title_fullStr Automatic completion of data gaps applied to a system of water pumps
title_full_unstemmed Automatic completion of data gaps applied to a system of water pumps
title_sort Automatic completion of data gaps applied to a system of water pumps
author Enguiça, Ricardo
author_facet Enguiça, Ricardo
Soares, Filipa
author_role author
author2 Soares, Filipa
author2_role author
dc.contributor.none.fl_str_mv RCIPL
dc.contributor.author.fl_str_mv Enguiça, Ricardo
Soares, Filipa
dc.subject.por.fl_str_mv Gap filling
Time series
Error correction
Discrete-to-continuous model
Water pump system
topic Gap filling
Time series
Error correction
Discrete-to-continuous model
Water pump system
description We consider a time series with real data from a water lift station, equipped with three water pumps which are activated and deactivated depending on certain starting and halting thresholds. Given the water level and the number of active pumps, both read every 5 min, we aim to infer when each pump was activated or deactivated. To do so, we build an algorithm that sets a hierarchy of criteria based on the past and future of a given interval to identify which thresholds have been crossed during that interval. We then fill the gaps between the 5 min time steps, modeling the water level continuously with a piecewise linear function. This filling takes into account not only every water level reading and every previously identified change of status, but also the fact that activation and deactivation of a pump has no immediate effect on water level. This allows for the fulfillment of the ultimate objective of the problem in its real context, which is to provide the water management company an estimate of how long each pump has been working. Additionally, our estimates correct the errors contained in the time series regarding the number of active pumps.
publishDate 2023
dc.date.none.fl_str_mv 2023-05-15T08:23:08Z
2023-04-03
2023-04-03T00:00:00Z
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/10400.21/16024
url http://hdl.handle.net/10400.21/16024
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv ENGUIÇA, Ricardo; SOARES, Filipa – Automatic completion of data gaps applied to a system of water pumps. Mathematics. eISSN 2227-7390. Vol. 11, N.º 7 (2022), pp. 1-15.
10.3390/math11071707
2227-7390
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 MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
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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