Localizing Leakage Hotspots in Water Distribution Networks via the Regularization of an Inverse Problem
Publication: Journal of Hydraulic Engineering
Volume 146, Issue 4
Abstract
The ill-posed inverse problem for detecting and localizing leakage hotspots is solved using a novel optimization-based method that 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, a strategy is proposed to select the regularization parameter when large-scale operational networks are considered. Using two numerical case studies, it is demonstrated 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.
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Data Availability Statement
Code and models generated or used during the study are available from the corresponding author by request.
Acknowledgments
This work has been supported by EPSRC (EP/P004229/1, Dynamically Adaptive and Resilient Water Supply Networks for a Sustainable Future, and also EP/L016826/1 EPSRC Centre for Doctoral Training in Sustainable Civil Engineering) and Cla-Val UK Ltd.
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Published In
Journal of Hydraulic Engineering
Volume 146 • Issue 4 • April 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: Mar 14, 2019
Accepted: Sep 17, 2019
Published online: Feb 14, 2020
Published in print: Apr 1, 2020
Discussion open until: Jul 14, 2020
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