scholarly journals Prior Assumptions for Leak Localisation in Water Distribution Networks with Uncertainties

2021 ◽  
Author(s):  
Caroline Blocher ◽  
Filippo Pecci ◽  
Ivan Stoianov
Keyword(s):  
Water Distribution ◽  
Network Models ◽  
Distribution Networks ◽  
Water Distribution Networks ◽  
Sensitivity Matrix ◽  
Leak Location ◽  
Wide Range ◽  
Coefficient Vector ◽  
Resistance Coefficients ◽  
Location Estimate

AbstractHydraulic model-based leak (burst) localisation in water distribution networks is a challenging problem due to a limited number of hydraulic measurements, a wide range of leak properties, and model and data uncertainties. In this study, prior assumptions are investigated to improve the leak localisation in the presence of uncertainties. For example, $$\ell _2$$ ℓ 2 -regularisation relies on the assumption that the Euclidean norm of the leak coefficient vector should be minimised. This approach is compared with a method based on the sensitivity matrix, which assumes the existence of only a single leak. The results show that while the sensitivity matrix method often yields a better leak location estimate in single leak scenarios, the $$\ell _2$$ ℓ 2 -regularisation successfully identifies a search area for pinpointing the accurate leak location. Furthermore, it is shown that the additional error introduced by a quadratic approximation of the Hazen-Williams formula for the solution of the localisation problem is negligible given the uncertainties in Hazen-Williams resistance coefficients in operational water network models.

The Role of Prior Assumptions for Leak Localisation in Water Networks with Uncertainties

2021 ◽  
Author(s):  
Caroline Blocher ◽  
Filippo Pecci ◽  
Ivan Stoianov
Keyword(s):  
Network Models ◽  
Water Networks ◽  
Water Network ◽  
Sensitivity Matrix ◽  
Search Area ◽  
Leak Location ◽  
Wide Range ◽  
Coefficient Vector ◽  
Resistance Coefficients

Abstract Hydraulic model-based leak (burst) localisation in water networks is a challenging problem due to uncertainties, the limited number of hydraulic measurements, and the wide range of leak properties. In this study, we investigate the use of prior assumptions to improve the leak localisation in the presence of model uncertainties. For example, 𝓁2-regularisation relies on the assumption that the Euclidean norm of the leak coefficient vector should be minimised. This approach is compared with a method based on the sensitivity matrix, which assumes the existence of only a single leak. We show that while applying the sensitivity matrix often yields a better estimate of the leak location in single leak scenarios, the 𝓁2-regularisation successfully identifies a leak search area for pinpointing the accurate leak location. Furthermore, we demonstrate that the additional error introduced by a quadratic approximation of the Hazen-Williams formula for the solution of the localisation problem is negligible given the uncertainties in Hazen-Williams resistance coefficients in operational water network models.

scholarly journals Robust sensor placement for leak location: analysis and design

2015 ◽  
Vol 18 (1) ◽  
pp. 136-148 ◽  
Author(s):  
Joaquim Blesa ◽  
Fatiha Nejjari ◽  
Ramon Sarrate
Keyword(s):  
Water Distribution ◽  
Sensor Placement ◽  
Water Distribution Network ◽  
Distribution Networks ◽  
Water Distribution Networks ◽  
Matrix Analysis ◽  
Sensitivity Matrix ◽  
Placement Problem ◽  
Analysis And Design ◽  
Leak Location

In this paper, a nominal sensor placement methodology for leak location in water distribution networks is presented. To reduce the size and the complexity of the optimization problem a clustering technique is combined with the nominal sensor placement methodology. Some of the pressure sensor placement methods for leak detection and location in water distribution networks are based on the pressure sensitivity matrix analysis. This matrix depends on the network demands, which are nondeterministic, and the leak magnitudes, that are unknown. The robustness of the nominal sensor placement methodology is investigated against the fault sensitivity matrix uncertainty. Providing upon the dependency of the leak location procedure on the network operating point, the nominal sensor placement problem is then reformulated as a multi-objective optimization for which Pareto optimal solutions are generated. The robustness study as well as the resulting robust sensor placement methodology are illustrated by means of a small academic network as well as a district metered area in the Barcelona water distribution network.

scholarly journals Model-based leak detection and location in water distribution networks considering an extended-horizon analysis of pressure sensitivities

2013 ◽  
Vol 16 (3) ◽  
pp. 649-670 ◽  
Author(s):  
Myrna V. Casillas Ponce ◽  
Luis E. Garza Castañón ◽  
Vicenç Puig Cayuela
Keyword(s):  
Water Distribution ◽  
Real Data ◽  
Leak Detection ◽  
Distribution Networks ◽  
Optimization Method ◽  
Least Square ◽  
Water Distribution Networks ◽  
Sensitivity Matrix ◽  
Model Based ◽  
Leak Detection And Location

In this paper, we propose a new approach for model-based leak detection and location in water distribution networks (WDN), which considers an extended time-horizon analysis of pressure sensitivities. Five different ways of using the leak sensitivity matrix to isolate the leaks are described and compared. The first method is based on the binarization approach. The second, third and fourth methods are based on the comparison of the measured pressure vectors with the leak sensitivity matrix using different metrics: correlation, angle between vectors and Euclidean distance, respectively. The fifth method is based on the least square optimization method. The performance of these methods is compared when applied to two academic small networks (Hanoi and Quebra) widely used in the literature. Finally, the three methods with better performance are applied to a district metering area of the Barcelona WDN using real data.

scholarly journals Leak Signature Space: An Original Representation for Robust Leak Location in Water Distribution Networks

Water ◽  
2015 ◽  
Vol 7 (12) ◽  
pp. 1129-1148 ◽  
Author(s):  
Myrna Casillas ◽  
Luis Garza-Castañón ◽  
Vicenç Puig ◽  
Adriana Vargas-Martinez
Keyword(s):  
Water Distribution ◽  
Distribution Networks ◽  
Water Distribution Networks ◽  
Leak Location

The four Rs performance indicators of water distribution networks

2017 ◽  
Vol 34 (5) ◽  
pp. 720-732 ◽  
Author(s):  
Indra Gunawan ◽  
Frank Schultmann ◽  
Seyed Ashkan Zarghami
Keyword(s):  
Performance Indicators ◽  
System Performance ◽  
Distribution Systems ◽  
Water Distribution ◽  
Distribution Networks ◽  
Water Distribution Networks ◽  
Critical Infrastructures ◽  
Content Type ◽  
Wide Range ◽  
Definition Of

Purpose The purpose of this paper is to review the different interpretations of four key performance indicators of water distribution networks (WDNs): reliability, resilience, redundancy and robustness. It then addresses a range of metrics which have been developed to assess the performance of critical infrastructures, in particular WDNs. Design/methodology/approach The paper provides a comprehensive review and categorization of performance indicators of WDNs. The main focus is on papers addressing performance indicators of water distribution systems, additionally papers on application of complex system approach to critical infrastructures are also included. Findings Due to this complexity, a wide range of interpretation of WDNs performance indicators exists in the literature. This represents a significant impediment toward universally accepted interpretation of these indicators Accurate assessment of WDNs’ performance depends on clear definition of system performance indicators as well as accurate quantifying of these indicators. The application of 18 metrics as a basis for assessing the system performance have been reviewed in this paper and none are particularly significant as standalone values. Combination of these indicators are required to accurately indicate the performance of WDNs. Originality/value The authors believe that this paper can be a valuable source of information for academic researchers and practitioners and suggests a roadmap for future works.

scholarly journals Optimal Sensor Placement for Leak Location in Water Distribution Networks Using Genetic Algorithms

Sensors ◽  
2013 ◽  
Vol 13 (11) ◽  
pp. 14984-15005 ◽  
Author(s):  
Myrna Casillas ◽  
Vicenҫ Puig ◽  
Luis Garza-Castañón ◽  
Albert Rosich
Keyword(s):  
Genetic Algorithms ◽  
Water Distribution ◽  
Sensor Placement ◽  
Distribution Networks ◽  
Water Distribution Networks ◽  
Optimal Sensor Placement ◽  
Leak Location
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