Water Distribution System Reliability Based on Minimum Cut – Set Approach and the Hydraulic Availability

Yannopoulos, Stavros; Spiliotis, Mike

doi:10.1007/s11269-012-0163-5

Cited by 53 publications

(15 citation statements)

References 32 publications

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“…Reliability of WDSs has gathered a considerable amount of attention over the last three decades [ Su et al ., ; Bao and Mays , ; Xu and Goulter , ; Ostfeld , ; Farmani et al ., ; Fu and Kapelan , ; Ostfeld , ]. However, some problems still exist in the reliability analysis, e.g., how to develop a comprehensive approach to assess reliability with respect to various causes of failure, how to evaluate different reliability assessment measures, and how to improve computational efficiency of traditional methods, such as Monte Carlo Simulation and Cut‐set methods [ Yang et al ., ; Yannopoulos and Spiliotis , ]. All this is very important given that reliability is just one of many other measures required to assess the WDS design performance [ Fu et al ., ; Marchi et al ., ].…”

Section: Introductionmentioning

confidence: 99%

“…[] assessed the reliability of a WDS as a result of a pipe being out of service. Yannopoulos and Spiliotis [] developed a methodology for reliability assessment, which combined the mechanical reliability and the hydraulic availability of WDSs. In the reliability analysis for topological changes, not only the presence of a path between the consumer and any source to supply the required demand is considered, but also it is worth noting that the level of service provided to the consumers during a failure is necessary to analyze reliability.…”

Section: Introductionmentioning

confidence: 99%

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A diameter‐sensitive flow entropy method for reliability consideration in water distribution system design

Liu

Savić

Kapelan

et al. 2014

Water Resources Research

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Flow entropy is a measure of uniformity of pipe flows in water distribution systems. By maximizing flow entropy one can identify reliable layouts or connectivity in networks. In order to overcome the disadvantage of the common definition of flow entropy that does not consider the impact of pipe diameter on reliability, an extended definition of flow entropy, termed as diameter-sensitive flow entropy, is proposed. This new methodology is then assessed by using other reliability methods, including Monte Carlo Simulation, a pipe failure probability model, and a surrogate measure (resilience index) integrated with water demand and pipe failure uncertainty. The reliability assessment is based on a sample of WDS designs derived from an optimization process for each of the two benchmark networks. Correlation analysis is used to evaluate quantitatively the relationship between entropy and reliability. To ensure reliability, a comparative analysis between the flow entropy and the new method is conducted. The results demonstrate that the diameter-sensitive flow entropy shows consistently much stronger correlation with the three reliability measures than simple flow entropy. Therefore, the new flow entropy method can be taken as a better surrogate measure for reliability and could be potentially integrated into the optimal design problem of WDSs. Sensitivity analysis results show that the velocity parameters used in the new flow entropy has no significant impact on the relationship between diameter-sensitive flow entropy and reliability.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A diameter‐sensitive flow entropy method for reliability consideration in water distribution system design

Liu

Savić

Kapelan

et al. 2014

Water Resources Research

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“…where i m and j m are the two nodes connected by the mth pipe; we use i m and j m instead of i and j to avoid possible notational conflict with Eq. (21). The Jacobian of the right-hand side of Eqs.…”

Section: Local Stability Analysismentioning

confidence: 99%

Dynamical stability of water distribution networks

Masuda

Meng

2019

Proc. R. Soc. A.

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Water distribution networks are hydraulic infrastructures that aim to meeting water demands at their various nodes. Water flows through pipes in the network create nonlinear dynamics on networks. A desirable feature of water distribution networks is high resistance to failures and other shocks given to the system. Such threats would at least transiently change the flow rate in various pipes, potentially mitigating the functionality of the whole water distribution system. Here we carry out a linear stability analysis for a nonlinear dynamical system representing the flow rate through pipes that are interconnected through an arbitrary pipe network with reservoirs and consumer nodes. We show that the steady state is always locally stable and develop a method to calculate the eigenvalue that corresponds to the mode that decays the most slowly towards the equilibrium, which we use as an index for resilience of the system. We show that the proposed index is positively correlated with the recovery rate of the pipe network, which was derived from a realistic and industrially popular simulator. The present analytical framework is expected to be useful for deploying tools from nonlinear dynamics and network analysis to designing, resilience managements and scenario testings of water distribution networks.

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“…The fundamental contribution of this theory is to help design water pipe networks more robust against damage to the pipelines, through an analysis of the form of the network. Related work has also been reported by Yannopoulos and Spiliotis (2013), who presented a methodology for evaluating water distribution system reliability based on the minimum cut-set approach, combining the mechanical reliability and the hydraulic reliability of a UWDN.…”

Section: State Of Knowledgementioning

confidence: 99%

Seismic Reliability Assessment of Lifeline Systems

Christodoulou

Fragiadakis²

2014

Computing in Civil and Building Engineering (2014)

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A methodology is proposed for the seismic assessment of the reliability of urban water distribution networks (UWDN). The method is based on general seismic assessment standards, as per the American Lifelines Alliance (ALA) guidelines, and on localized historical records of critical risk-of-failure metrics. The proposed methodology is applicable to UWDN under either normal or abnormal operating conditions, and the assessment of reliability considers not only the vulnerabilities of the network components against seismic loading but also the topology of an UWDN and data of past non-seismic performance. This past performance, obtained using records of pipe burst incidents, is utilized with network-specific 'survival curves' in fine-tuning the generalized fragility curves suggested by the ALA. The resulting vulnerability analysis is used in devising 'repair-or-replace' strategies for the studied lifelines. INTRODUCTIONLifeline systems, such as water distribution networks, are of critical importance to the uninterrupted provision of services and thus to the resiliency of a city. Thus, being able to assess the reliability of the network against different hazards helps water distribution agencies prioritize their interventions and ensure a minimum reliability level of the network.A number of previous studies have assessed the vulnerability of infrastructure systems, but seldom has the non-seismic performance of such systems and the system-component interactions been considered in evaluating the seismic vulnerability of such systems. The process proposed in this paper combines data on historical non-seismic performance of urban water distribution networks (UWDN) and their components by use of survival analysis, simulation and a graph-based shortest-path algorithm. The intent is firstly to propose a methodology for assessing the vulnerability of a UWDN using available everyday measurements and secondly to extent the methodology of the American Lifelines Alliance guidelines (ALA 2001) with localized knowledge on the performance and vulnerability of such networks. The ALA guidelines present procedures and fragility relationships that can be used to evaluate the probability of earthquake damage to water transmission systems and to make informed decisions on how to mitigate risks. However, the generic form of the pipe fragility curves obtained through the ALA method does not take into consideration a network's past performance and its effects when calculating the pipe repair rates due to seismic loading. Furthermore, in examining the vulnerability of a network one cannot but consider the vulnerability of the network's components as well as the topology of the network.

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Water Distribution System Reliability Based on Minimum Cut – Set Approach and the Hydraulic Availability

Cited by 53 publications

References 32 publications

A diameter‐sensitive flow entropy method for reliability consideration in water distribution system design

A diameter‐sensitive flow entropy method for reliability consideration in water distribution system design

Dynamical stability of water distribution networks

Seismic Reliability Assessment of Lifeline Systems

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