An Advanced Sensor Placement Strategy for Small Leaks Quantification Using Lean Graphs

Small leaks in water distribution networks have been a major problem both economically and environmentally, as they go undetected for years. We model the signature of small leaks as a unique Directed Acyclic Graph, called the Lean Graph, to find the best places for <i>k</i> sensors for d...

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Main Authors: Ary Mazharuddin Shiddiqi, Rachel Cardell-Oliver, Amitava Datta
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Water
Subjects:
Online Access:https://www.mdpi.com/2073-4441/12/12/3439
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author Ary Mazharuddin Shiddiqi
Rachel Cardell-Oliver
Amitava Datta
author_facet Ary Mazharuddin Shiddiqi
Rachel Cardell-Oliver
Amitava Datta
author_sort Ary Mazharuddin Shiddiqi
collection DOAJ
description Small leaks in water distribution networks have been a major problem both economically and environmentally, as they go undetected for years. We model the signature of small leaks as a unique Directed Acyclic Graph, called the Lean Graph, to find the best places for <i>k</i> sensors for detecting and locating small leaks. We use the sensors to develop dictionaries that map each leak signature to its location. We quantify leaks by matching out-of-normal flows detected by sensors against records in the selected dictionaries. The most similar records of the dictionaries are used to quantify the leaks. Finally, we investigate how much our approach can tolerate corrupted data due to sensor failures by introducing a subspace voting based quantification method. We tested our method on water distribution networks of literature and simulate small leaks ranging from [0.1, 1.0] liter per second. Our experimental results prove that our sensor placement strategy can effectively place <i>k</i> sensors to quantify single and multiple small leaks and can tolerate corrupted data up to some range while maintaining the performance of leak quantification. These outcomes indicate that our approach could be applied in real water distribution networks to minimize the loss caused by small leaks.
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spelling doaj.art-2211587a7b974b268ead15be75be03f92023-11-20T23:53:17ZengMDPI AGWater2073-44412020-12-011212343910.3390/w12123439An Advanced Sensor Placement Strategy for Small Leaks Quantification Using Lean GraphsAry Mazharuddin Shiddiqi0Rachel Cardell-Oliver1Amitava Datta2Department of Informatics, Institut Teknologi Sepuluh Nopember, Jl. Raya ITS, Keputih, Sukolilo, Surabaya 60111, Jawa Timur, IndonesiaFaculty of Engineering and Mathematical Sciences, Computer Science and Software Engineering, University of Western Australia, 35 Stirling Hwy, Crawley 6009, WA, AustraliaFaculty of Engineering and Mathematical Sciences, Computer Science and Software Engineering, University of Western Australia, 35 Stirling Hwy, Crawley 6009, WA, AustraliaSmall leaks in water distribution networks have been a major problem both economically and environmentally, as they go undetected for years. We model the signature of small leaks as a unique Directed Acyclic Graph, called the Lean Graph, to find the best places for <i>k</i> sensors for detecting and locating small leaks. We use the sensors to develop dictionaries that map each leak signature to its location. We quantify leaks by matching out-of-normal flows detected by sensors against records in the selected dictionaries. The most similar records of the dictionaries are used to quantify the leaks. Finally, we investigate how much our approach can tolerate corrupted data due to sensor failures by introducing a subspace voting based quantification method. We tested our method on water distribution networks of literature and simulate small leaks ranging from [0.1, 1.0] liter per second. Our experimental results prove that our sensor placement strategy can effectively place <i>k</i> sensors to quantify single and multiple small leaks and can tolerate corrupted data up to some range while maintaining the performance of leak quantification. These outcomes indicate that our approach could be applied in real water distribution networks to minimize the loss caused by small leaks.https://www.mdpi.com/2073-4441/12/12/3439leak quantificationsensor networksfault tolerancewater distribution networks
spellingShingle Ary Mazharuddin Shiddiqi
Rachel Cardell-Oliver
Amitava Datta
An Advanced Sensor Placement Strategy for Small Leaks Quantification Using Lean Graphs
Water
leak quantification
sensor networks
fault tolerance
water distribution networks
title An Advanced Sensor Placement Strategy for Small Leaks Quantification Using Lean Graphs
title_full An Advanced Sensor Placement Strategy for Small Leaks Quantification Using Lean Graphs
title_fullStr An Advanced Sensor Placement Strategy for Small Leaks Quantification Using Lean Graphs
title_full_unstemmed An Advanced Sensor Placement Strategy for Small Leaks Quantification Using Lean Graphs
title_short An Advanced Sensor Placement Strategy for Small Leaks Quantification Using Lean Graphs
title_sort advanced sensor placement strategy for small leaks quantification using lean graphs
topic leak quantification
sensor networks
fault tolerance
water distribution networks
url https://www.mdpi.com/2073-4441/12/12/3439
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