DOAJ Open Access 2024

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

Olivier Piller Sylvan Elhay Jochen W. Deuerlein Angus R. Simpson

Abstrak

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.

Topik & Kata Kunci

Engineering machinery, tools, and implements

Penulis (4)

Olivier Piller

Sylvan Elhay

Jochen W. Deuerlein

Angus R. Simpson

Format Sitasi

APA MLA BibTeX

Piller, O., Elhay, S., Deuerlein, J.W., Simpson, A.R. (2024). First- and Second-Order Sensitivities of Steady-State Solutions to Water Distribution Systems. https://doi.org/10.3390/engproc2024069165

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.3390/engproc2024069165
Akses: Open Access ✓