Work

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

Year: 2024

Type: conference-paper

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.

DOI: 10.3390/engproc2024069165

Authors: Olivier Piller, Sylvan Elhay, Jochen W. Deuerlein, Angus R. Simpson

Institutions: Institut National de Recherche pour l'Agriculture, l'Alimentation et l'Environnement, The University of Adelaide

Language: English

Topic: Water Systems and Optimization

Subfield: Civil and Structural Engineering

Field: Engineering

Domain: Physical Sciences

SDG: Clean water and sanitation

Open Access status: gold

Funder: Agence Nationale de la Recherche

Award: Resilience by Design and Security of Water Networks