First- and Second-Order Sensitivities of Steady-State Solutions to Water Distribution Systems
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(Published version)
Date
2024
Authors
Piller, O.
Elhay, S.
Deuerlein, J.W.
Simpson, A.R.
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Conference paper
Citation
Engineering Proceedings, 2024, vol.69, iss.1, pp.165-1-165-5
Statement of Responsibility
Olivier Piller, Sylvan Elhay, Jochen W. Deuerlein, and Angus R. Simpson
Conference Name
International Joint Conference on Water Distribution Systems Analysis & Computing and Control for the Water Industry (WDSA, CCWI) (1 Jul 2024 - 4 Jul 2024 : Ferrara, Italy)
Abstract
First-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.
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© 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/).