Localizing leakage hotspots in water distribution networks via the regularization of an inverse problem
File(s)
Accepted version
Author(s)
Blocher, Caroline
Pecci, Filippo
Stoianov, Ivan
Type
Journal Article
Abstract
The ill-posed inverse problem for detecting and localizing leakage hotspots is solved using a novel optimization-based method which aims to minimize the difference between hydraulic measurement data and simulated steady states of a water distribution network. Regularization constrains the set of leak candidate nodes obtained from a solution to the optimization problem. Hydraulic conservation laws are enforced as nonlinear constraints. The resulting nonconvex optimization problem is solved using smooth mathematical optimization techniques. The solution identifies leakage hotspot areas, which can then be further investigated with alternative methods for precise leak localization. A metric is proposed to quantitatively assess the performance of the developed leak localization approach in comparison with a method that uses the sensitivity matrix. In addition, we propose a strategy to select the regularization parameter when large-scale operational networks are considered. Using two numerical case studies, we demonstrate that the proposed approach outperforms the sensitivity matrix method, with regards to leak isolation, in most single leak scenarios. Moreover, the developed method enables the localization of multiple simultaneous leaks.
Date Issued
2020-04
Date Acceptance
2019-09-17
Citation
Journal of Hydraulic Engineering, 2020, 146 (4), pp.04020025-1-04020025-13
ISSN
0733-9429
Publisher
American Society of Civil Engineers
Start Page
04020025-1
End Page
04020025-13
Journal / Book Title
Journal of Hydraulic Engineering
Volume
146
Issue
4
Copyright Statement
© ASCE
Sponsor
Engineering & Physical Science Research Council (E
Cla-Val UK Ltd
Identifier
https://ascelibrary.org/doi/10.1061/%28ASCE%29HY.1943-7900.0001721#e_1_1_2_14_1
Grant Number
EP/P004229/1
Imperial - Caroline Blocher
Subjects
0905 Civil Engineering
Environmental Engineering
Publication Status
Published
Date Publish Online
2020-02-14