Bilinear reduced order approximate model of parabolic distributed solar collectors

Handle URI:
http://hdl.handle.net/10754/558733
Title:
Bilinear reduced order approximate model of parabolic distributed solar collectors
Authors:
Elmetennani, Shahrazed ( 0000-0001-7608-8713 ) ; Laleg-Kirati, Taous-Meriem ( 0000-0001-5944-0121 )
Abstract:
This paper proposes a novel, low dimensional and accurate approximate model for the distributed parabolic solar collector, by means of a modified gaussian interpolation along the spatial domain. The proposed reduced model, taking the form of a low dimensional bilinear state representation, enables the reproduction of the heat transfer dynamics along the collector tube for system analysis. Moreover, presented as a reduced order bilinear state space model, the well established control theory for this class of systems can be applied. The approximation efficiency has been proven by several simulation tests, which have been performed considering parameters of the Acurex field with real external working conditions. Model accuracy has been evaluated by comparison to the analytical solution of the hyperbolic distributed model and its semi discretized approximation highlighting the benefits of using the proposed numerical scheme. Furthermore, model sensitivity to the different parameters of the gaussian interpolation has been studied.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Journal:
Submitted to Solar Energy
Issue Date:
1-Jul-2015
Type:
Article
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorElmetennani, Shahrazeden
dc.contributor.authorLaleg-Kirati, Taous-Meriemen
dc.date.accessioned2015-07-01T08:49:20Zen
dc.date.available2015-07-01T08:49:20Zen
dc.date.issued2015-07-01en
dc.identifier.urihttp://hdl.handle.net/10754/558733en
dc.description.abstractThis paper proposes a novel, low dimensional and accurate approximate model for the distributed parabolic solar collector, by means of a modified gaussian interpolation along the spatial domain. The proposed reduced model, taking the form of a low dimensional bilinear state representation, enables the reproduction of the heat transfer dynamics along the collector tube for system analysis. Moreover, presented as a reduced order bilinear state space model, the well established control theory for this class of systems can be applied. The approximation efficiency has been proven by several simulation tests, which have been performed considering parameters of the Acurex field with real external working conditions. Model accuracy has been evaluated by comparison to the analytical solution of the hyperbolic distributed model and its semi discretized approximation highlighting the benefits of using the proposed numerical scheme. Furthermore, model sensitivity to the different parameters of the gaussian interpolation has been studied.en
dc.language.isoenen
dc.titleBilinear reduced order approximate model of parabolic distributed solar collectorsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalSubmitted to Solar Energyen
dc.eprint.versionPre-printen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
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