Improved Loop-Flow Method for Hydraulic Analysis of Water Distribution Systems

Vasilić, Željko; Stanić, Miloš; Kapelan, Zoran; Ivetić, Damjan; Prodanović, Dušan

doi:10.1061/(asce)wr.1943-5452.0000922

Cited by 7 publications

(4 citation statements)

References 16 publications

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“…Next, we provide Algorithm 1 for solving the WFP using WFP-LP (30) or its matrix form (31). Notice that all variables are collected in ξ and the notation ξ n in Algorithm 1 stands for the n th iteration value ξ.…”

Section: Lp Modeling Derived From Gp Modelingmentioning

confidence: 99%

“…The second category is formulated based on WFP-LP (30) and can be solved is using LP solvers. The third is the matrix form of LP (31), which needs no solvers, and the analytical solution can be obtained for each iteration. Technically, WFP-GP and WFP-LP are more general, and could be adapted to any other problems such as control and state estimation problems [59] in WDNs by simply modifying the objective function or adding constraints, while the analytical solution provided by matrix form of LP is faster and can only be applied to solving the WFP.…”

Section: Using Gp-net and Future Extensionsmentioning

confidence: 99%

“…Moosavian () derived a multilinear method to improve the convergence rate of Wood and Charles () and Todini and Pilati (), where the nonlinear energy equations are linearized based on the maximum and minimum allowable flow rate in pipes and the solution is iteratively updated in the successive iterations. To further accelerate and improve convergence, several recent works have proposed intricate algorithms to exploit network structure in the computational procedure including careful selection of network loops (Alvarruiz et al, ; Deuerlein et al, ; Vasilic et al, ) and selection and decomposition of network trees and forest (Elhay et al, ; Simpson et al, ).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A New Derivative‐Free Linear Approximation for Solving the Network Water Flow Problem With Convergence Guarantees

Wang

Taha

Sela

et al. 2020

Water Resources Research

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Addressing challenges in urban water infrastructure systems, including aging infrastructure, supply uncertainty, extreme events, and security threats, depends highly on water distribution networks modeling emphasizing the importance of realistic assumptions, modeling complexities, and scalable solutions. In this study, we propose a derivative‐free, linear approximation for solving the network water flow problem. The proposed approach takes advantage of the special form of the nonlinear head loss equations, and, after the transformation of variables and constraints, the water flow problem reduces to a linear optimization problem that can be efficiently solved by modern linear solvers. Ultimately, the proposed approach amounts to solving a series of linear optimization problems. We demonstrate the proposed approach through several case studies and show that the approach can model arbitrary network topologies and various types of valves and pumps, thus providing modeling flexibility. Under mild conditions, we show that the proposed linear approximation converges. We provide sensitivity analysis and discuss in detail the current limitations of our approach and suggest solutions to overcome these. All the codes, tested networks, and results are freely available on Github for research reproducibility.

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Section: Lp Modeling Derived From Gp Modelingmentioning

confidence: 99%

Section: Using Gp-net and Future Extensionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A New Derivative‐Free Linear Approximation for Solving the Network Water Flow Problem With Convergence Guarantees

Wang

Taha

Sela

et al. 2020

Water Resources Research

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show abstract

“…Nonetheless, nearly all reliability estimation methods have the drawback of enormous computing needs because of the extensive number of hydraulic simulations required. Hydraulic simulations can be more efficient if it is performed based on the loop equation approach (Ivetićet al 2015;Vasilićet al 2018). Different studies proposed reliability surrogate measures (RSMs) such as entropy (Awumah et al 1990), resiliency (Todini 2000), network resilience (Prasad & Park 2004), etc., to overcome the issue of substantial computational drawbacks.…”

Section: Introductionmentioning

confidence: 99%

Performance-based multi-objective design and expansion of water distribution networks considering life cycle costs and future demands

Sirsant

Reddy

2021

Water Supply

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Designing the Water Distribution Networks (WDNs) consists of finding out pipe sizes such that the demands are satisfied and the desired performance levels are achieved at minimum cost. However, WDNs are subject to many future changes such as an increase (or decrease) in demand due to population change and migration, changes in water availability due to seasonal and climatic change, etc. Thus, the capacity expansion of WDNs needs to be performed such that the cost of interventions made is minimum while satisfying the demand and performance requirements at various time periods. Therefore, the current study proposed a Dynamic Programming (DP) framework for capacity expansion of WDNs and solved using Multi-Objective Self Adaptive Differential Evolution (MOSADE). The methodology is tested on three benchmark WDNs, namely Two-loop (TL), GoYang, and Blacksburg (BLA) WDNs, and applied to a real case study of the Badlapur region Maharashtra, India. The results show that the proposed methodology leads to effective Pareto optimal fronts, making it an efficient method for solving WDN expansion problems. Subsequently, an Analytical Hierarchy Process (AHP) based multi-criteria decision-making (MCDM) analysis was performed on the obtained Pareto-optimal solutions to determine the most suitable solution based on three criteria: Life Cycle Cost (LCC) of expansions, hydraulic reliability, and mechanical reliability. The main advantage of the proposed methodology is its capability to consider hydraulic performance as well as structural integrity and demand satisfaction in the face of hydraulic and mechanical failures.

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A parallel computing architecture based on cellular automata for hydraulic analysis of water distribution networks

Suvizi

Farghadan

Zamani

2023

Journal of Parallel and Distributed Computing

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Improved Loop-Flow Method for Hydraulic Analysis of Water Distribution Systems

Cited by 7 publications

References 16 publications

A New Derivative‐Free Linear Approximation for Solving the Network Water Flow Problem With Convergence Guarantees

A New Derivative‐Free Linear Approximation for Solving the Network Water Flow Problem With Convergence Guarantees

Performance-based multi-objective design and expansion of water distribution networks considering life cycle costs and future demands

A parallel computing architecture based on cellular automata for hydraulic analysis of water distribution networks

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