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

2023-04-03Journal article Open access
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dc.contributor.authorEnguiça, Ricardo
dc.contributor.authorSoares, Filipa
dc.date.accessioned2023-05-15T08:23:08Z
dc.date.available2023-05-15T08:23:08Z
dc.date.issued2023-04-03
dc.description.abstractWe 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.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationENGUIÇA, 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.pt_PT
dc.identifier.doi10.3390/math11071707pt_PT
dc.identifier.eissn2227-7390
dc.identifier.urihttp://hdl.handle.net/10400.21/16024
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherMDPIpt_PT
dc.relationCenter for Computational and Stochastic Mathematics
dc.relationCenter for Computational and Stochastic Mathematics
dc.relation.publisherversionhttps://www.mdpi.com/2227-7390/11/7/1707pt_PT
dc.subjectGap fillingpt_PT
dc.subjectTime seriespt_PT
dc.subjectError correctionpt_PT
dc.subjectDiscrete-to-continuous modelpt_PT
dc.subjectWater pump systempt_PT
dc.titleAutomatic completion of data gaps applied to a system of water pumpspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter for Computational and Stochastic Mathematics
oaire.awardTitleCenter for Computational and Stochastic Mathematics
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04621%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F04621%2F2020/PT
oaire.citation.endPage15pt_PT
oaire.citation.issue7pt_PT
oaire.citation.startPage1pt_PT
oaire.citation.titleMathematicspt_PT
oaire.citation.volume11pt_PT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
person.familyNameEnguiça
person.familyNameGomes da Cruz de Morais Soares
person.givenNameRicardo
person.givenNameFilipa
person.identifier2780646
person.identifier.ciencia-idF31A-AC12-F295
person.identifier.ciencia-id2F12-FE9B-385C
person.identifier.orcid0000-0002-3407-7757
person.identifier.scopus-author-id22233810600
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationdfaff3da-c63c-4b6d-b037-57c8ee972b63
relation.isAuthorOfPublication0d069423-4b85-41dc-8293-941aa4439a58
relation.isAuthorOfPublication.latestForDiscoverydfaff3da-c63c-4b6d-b037-57c8ee972b63
relation.isProjectOfPublication7c7b538e-16d7-43fc-98a7-6c77b58b8071
relation.isProjectOfPublication73b00380-5ddb-46ad-84be-a21766cfa99a
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