Optimal Localization of Pressure Reducing Valves in Water Distribution Systems by a Reformulation Approach

Dai, Pham Duc; Li, Pu

doi:10.1007/s11269-014-0655-6

Cited by 43 publications

(63 citation statements)

References 21 publications

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“…Penalty approaches have been studied in [21,35], while in [13] a similar method was applied to optimal valve placement in water distribution networks, coupled with a rounding scheme to improve the convergence of their algorithm. The overall strategy consists in the solution of a sequence of penalty problems, for increasing values of parameter ρ.…”

Section: Penalty Methodsmentioning

confidence: 99%

“…The network has 22 nodes, 37 pipes and 3 reservoirs. Details on pipes' characteristics, nodal demands and reservoirs' levels are presented in [13,24]. We set minimum pressure at each node to 30 m and maximum velocity in each pipe to 1 m/s.…”

Section: Case Studymentioning

confidence: 99%

“…However, a faithful representation of real world water distribution systems requires the inclusion of multiple demand scenarios. These were considered in the recent work in [13], where a direct solution using BONMIN was compared with a penalty method. Since the mixed integer problem in study involves only binary variables, it can be equivalently reformulated as a mathematical program with complementarity constraints (MPCC).…”

Section: Introductionmentioning

confidence: 99%

“…In fact, each binary variable can assume just one of the two complementary values, 0 or 1. The MPCC was solved in [13] using a penalty method, coupled with a heuristic rounding scheme.…”

Section: Introductionmentioning

confidence: 99%

“…In this manuscript, we build upon ideas outlined in [13] and present a rigorous analysis of the penalty method and its theoretical properties together with an evaluation of alternative practical algorithmic implementations, neither of which were discussed in [13]. In the penalty method, the optimization is performed in a feasible set obtained by dropping the complementarity constraints, which are then embedded into the objective function by penalizing complementarity violations.…”

Section: Introductionmentioning

confidence: 99%

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Penalty and relaxation methods for the optimal placement and operation of control valves in water supply networks

2016

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In this paper, we investigate the application of penalty and relaxation methods to the problem of optimal placement and operation of control valves in water supply networks, where the minimization of average zone pressure is the objective. The optimization framework considers both the location and settings of control valves as decision variables. Hydraulic conservation laws are enforced as nonlinear constraints and binary variables are used to model the placement of control valves, resulting in a mixed-integer nonlinear program. We review and discuss theoretical and algorithmic properties of two solution approaches. These include penalty and relaxation methods that solve a sequence of nonlinear programs whose stationary points converge to a stationary point of the original mixed-integer program. We implement and evaluate the algorithms using a benchmarking water supply network. In addition, the performance of different update strategies for the penalty and relaxation parameters are investigated under multiple initial conditions. Practical recommendations on the numerical implementation are provided.

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Section: Penalty Methodsmentioning

confidence: 99%

Section: Case Studymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…In fact, each binary variable can assume just one of the two complementary values, 0 or 1. The MPCC was solved in [13] using a penalty method, coupled with a heuristic rounding scheme.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Penalty and relaxation methods for the optimal placement and operation of control valves in water supply networks

2016

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A review of nonrevenue water assessment software tools

et al. 2020

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Several software tools are available that can assess the performance of nonrevenue water (NRW) in water distribution networks and plan for reduction measures. Of the 21 tools that have been reported in the literature, 12 are freely available. The creation of these many tools and different versions of each individual tool indicates the promising future of NRW software development. This review comprises 12 freely available tools for water balance establishment, NRW performance assessment, and NRW reduction planning. Most of the tools have been developed to establish standard annual water balances and recommended performance indicators (PIs) for the entire network. Some tools have been developed to intervene and reduce the leakage in a district metered area. Key features increasingly being included in NRW software include uncertainty analysis, recognition of supply intermittency, and accommodation of a guidance matrix and benchmarks. Leakage assessment is fully recognized, and leakage reduction analyses are increasingly growing in the software tools. However, much less attention has been paid to assessing and options for reducing apparent losses. Although a comprehensive NRW management tool for monitoring, planning, and intervention is not currently available, developing a comprehensive tool is worthwhile, in the form of one package or a kit of smaller tools. Toward this goal, the article provides insights and recommendations addressing topics of intermittency, normalization, multi‐method assessment, planning for the reduction of apparent and real losses, and estimation of the economic level of water loss. This article is categorized under: Engineering Water > Planning Water Engineering Water > Methods

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Optimal Pump Scheduling to Pressure Management for Large-Scale Water Distribution Systems

Dai¹,

Cuong²,

Bui³

2017

Lecture Notes in Electrical Engineering

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Optimal Localization of Pressure Reducing Valves in Water Distribution Systems by a Reformulation Approach

Cited by 43 publications

References 21 publications

Penalty and relaxation methods for the optimal placement and operation of control valves in water supply networks

Penalty and relaxation methods for the optimal placement and operation of control valves in water supply networks

A review of nonrevenue water assessment software tools

Optimal Pump Scheduling to Pressure Management for Large-Scale Water Distribution Systems

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