scholarly journals A new mathematical program with complementarity constraints for optimal localization of pressure reducing valves in water distribution systems

2021 ◽  
Vol 11 (9) ◽  
Author(s):  
Pham Duc Dai
Keyword(s):  
Stationary Point ◽  
Water Loss ◽  
Optimization Model ◽  
Distribution Systems ◽  
Water Distribution ◽  
Mathematical Program ◽  
Water Distribution Systems ◽  
Mixed Integer ◽  
Complementarity Constraints ◽  
Optimal Localization

AbstractWater loss reduction in water distribution systems (WDSs) is a challenging task for water utilities worldwide. One of the most reliable and cost-effective ways to reduce water loss is to properly regulate operational pressure of the system through optimizing pressure reducing valve (PRV) placements. This well-known engineering problem can be casted into a mixed-integer nonlinear program (MINLP) where binary variables are introduced to represent positions of PRVs. Many works in the literature applied heuristic algorithms to address the optimization problem. In this paper, at first, we proposed a new optimization model and reformulated it as the mathematical program with complementarity constraints (MPCCs). It is due to the fact that the stationary point of the MPCCs is likely to be trapped into bad local solutions, a soft heuristic method is then proposed to determine the MINLP local solution in each iteration before a stationary point of the MPCCs is reached. This method not only enhances the quality of MINLP solution, but also decreases computation time for solving the MPCCs. The newly formulated MPCCs is applied to determine optimal localization of PRVs for two WDS benchmarks and a real-world WDS in Vietnam. The results are compared with others in the literature demonstrating that using our new optimization model, better and more reliable MINLP solution can be found for large scale WDSs.

scholarly journals A MINLP Model for Optimal Localization of Pumps as Turbines in Water Distribution Systems Considering Power Generation Constraints

Water ◽  
2020 ◽  
Vol 12 (7) ◽  
pp. 1979 ◽  
Author(s):  
Khoa Dang Nguyen ◽  
Pham Duc Dai ◽  
Dong Quoc Vu ◽  
Bui Manh Cuong ◽  
Vu Phi Tuyen ◽  
...  
Keyword(s):  
Distribution Systems ◽  
Water Distribution ◽  
Water Distribution Systems ◽  
Mixed Integer ◽  
Nonlinear Program ◽  
Bound Constraints ◽  
Minimum Power ◽  
System Pressure ◽  
Minlp Model ◽  
Optimal Localization

Pressure reducing valves (PRVs) are commonly used for pressure control in water distribution systems (WDSs) by means of dissipating the pressure excess. The use of pumps as turbines (PATs) is an alternative and more favorable system since they not only control the system pressure to decrease water leakage, but also utilize the pressure excess to generate electrical energy. The optimal localization of PATs can be casted into a mixed-integer nonlinear program (MINLP) where binary variables are used to represent the presence of PATs on links. Most of the available MINLP models for optimal PAT localization adopted the optimization approaches for PRV localization without considering the bound constraints on flow rates and heads of PATs. As a result, such an optimization model may make PATs delivering a non-desired output. In this paper, we propose a new MINLP model for optimal PAT localization. Instead of using a constraint on the maximum number of PATs to be placed in a WDS, new constraints relating to the minimum power generated by PAT are introduced to find links having adequate flows and head drops for placing PATs. Moreover, constraints are used to restrict flows and heads of PATs to their feasible operating range, so that the problem can be efficiently solved. The proposed MINLP model is applied to the optimal localization of PATs for a WDS benchmark and a real-world WDS in Vietnam. The results demonstrate that the new MINLP model can efficiently identify optimal locations for PAT placement where the specified working range and minimum power generated by the PATs are ensured.

scholarly journals Average Operating Pressure Effect on Water Supply Systems Performances. A Case Study for 12 Romanian Small Water Distribution Networks

2021 ◽  
Vol 11 (2) ◽  
pp. 143-150
Author(s):  
E. Vitan ◽  
Anca Hotupan ◽  
Adriana Hadarean
Keyword(s):  
Performance Evaluation ◽  
Water Loss ◽  
Distribution Systems ◽  
Water Distribution ◽  
Water Distribution Systems ◽  
Distribution Networks ◽  
Water Supply Systems ◽  
Operating Pressure ◽  
Water Network ◽  
Small Water

Abstract The performance evaluation of an implemented water distribution network is in tight relation with the choice of adequate measures for water loss reduction. Hence, the consequences of placing the water network in a wrong performance category are bad and will conduct to unreasonably costs or considerable water loss volumes. Therefore, the evaluation of the water network performance level based on both Non-Revenue Water (NRW) and Infrastructure Leakage Index (ILI) indicators is to be recommended. This paper deals with the performance evaluation of water distribution systems based on the calculated performance indicators NRW and ILI. For this purpose, collected data for a period of one year from 12 Romanian small water distribution systems and two simplified average pressure determination methods were used.

scholarly journals Water Quality Correction Within Water Distribution System

2015 ◽  
Vol 22 (3) ◽  
pp. 401-410 ◽  
Author(s):  
Dariusz Kowalski ◽  
Beata Kowalska ◽  
Ewa Hołota ◽  
Artur Choma
Keyword(s):  
Water Quality ◽  
Water Loss ◽  
Distribution System ◽  
Distribution Systems ◽  
Water Distribution ◽  
Manufacturing Industry ◽  
Water Distribution Systems ◽  
Special Treatment ◽  
Management Processes ◽  
Secondary Contamination

Abstract Water suppliers can be treated as production companies whose main product is water delivered to their customers. The article presents problems connected with management of such companies in the conditions of secondary contamination in water distribution systems. This phenomenon exists in water networks all over the world. Its’ presence is particularly visible in countries of former communistic block. In the article particular attention was devoted to the issue of water quality correction in the analysed systems. In the case of water distribution systems, former quality correction methods consisted in special treatment of water pumped into the system, flushing and cleaning of water pipes. In both these cases identification of water quality deficiencies resulted in significant water loss. The situation reflects management processes applied in the manufacturing industry of the 1940s. The authors of this paper put forward the concept of three water quality correction methods which would not entail such considerable water loss. The methods in question are intended for different network types. The implementation of proposed solutions could set new standards in management of distribution systems of water providers.

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