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First- and Second-Order Sensitivities of Steady-State Solutions to Water Distribution Systems

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dc.contributor.authorPiller, O.
dc.contributor.authorElhay, S.
dc.contributor.authorDeuerlein, J.W.
dc.contributor.authorSimpson, A.R.
dc.contributor.conferenceInternational Joint Conference on Water Distribution Systems Analysis & Computing and Control for the Water Industry (WDSA, CCWI) (1 Jul 2024 - 4 Jul 2024 : Ferrara, Italy)
dc.date.issued2024
dc.description.abstractFirst-order approximations have been used with some success for criticality analysis; sensitivity analysis of physical networks, such as water distribution systems; and uncertainty propagation of model parameters. Certain limitations have been reported regarding the accuracy of the results, particularly when non-linearity is dominant. In this paper, we show how to efficiently derive the first- and second-order sensitivities with respect to variation in their parameters. This makes it possible to improve the first-order estimate when necessary. The method is illustrated on a small example system.
dc.description.statementofresponsibilityOlivier Piller, Sylvan Elhay, Jochen W. Deuerlein, and Angus R. Simpson
dc.identifier.citationEngineering Proceedings, 2024, vol.69, iss.1, pp.165-1-165-5
dc.identifier.doi10.3390/engproc2024069165
dc.identifier.issn2673-4591
dc.identifier.orcidPiller, O. [0000-0002-3625-7639]
dc.identifier.orcidElhay, S. [0000-0003-3440-556X]
dc.identifier.orcidSimpson, A.R. [0000-0003-1633-0111]
dc.identifier.urihttps://hdl.handle.net/2440/145408
dc.language.isoen
dc.publisherMDPI
dc.rights© 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/).
dc.source.urihttp://dx.doi.org/10.3390/engproc2024069165
dc.subjectsensitivities; Schur complement; linear equations; sparse matrix; steady state: demanddriven modeling; pressure-driven modeling; water distribution systems
dc.titleFirst- and Second-Order Sensitivities of Steady-State Solutions to Water Distribution Systems
dc.typeConference paper
pubs.publication-statusPublished online

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