Quality of municipal water is sustained by addition of disinfectant, generally chlorine, to the water distribution network. Because of health problems, chlorine concentration in the network is limited between maximum and minimum limits. Cancerogenic disinfectant by-products start to occur at high concentrations so it is desired to have minimum amount of chlorine without violating the limit. In addition to the health issues, minimum injection amount is favorable concerning cost. Hence, an optimization model is necessary which covers all of these considerations. However, there are uncertain factors as chlorine is reactive and decays both over time and space. Thus, probabilistic approach is necessary to obtain reliable and realistic results from the model. In this study, a linear programming model is developed for the chance constrained optimization of the water distribution network. The objective is to obtain minimum amount of injection mass subjected to maintaining more uniformly distributed chlorine concentrations within the limits while considering the randomness of chlorine concentration by probability distributions. Network hydraulics and chlorine concentration computations are done by the network simulation software, EPANET.

ABSTRACT DESIGN OF WATER DISTRIBUTION SYSTEM BY OPTIMIZATION USING RELIABILITY CONSIDERATIONS Akdogan, Tevfik Department of Civil Engineering Supervisor : Assoc. Prof. Dr. Nuri Merzi April 2005, 91 pages In spite of a wide research, design of water distribution networks are not realized using optimization techniques. One reason for this fact is, design of water distribution networks is evaluated, mostly, as a least-cost optimization problem where pipe diameters being the only decision variables. The other motivation for preferring the traditional modeling practice is that, existing optimization algorithms are not presented to the user as friendly as it should be. In fact, water distribution systems are very complex systems such that it is not easy to obtain least-cost design systems considering other constraints such as reliability, in addition to classical constraints related to hydraulic feasibility, satisfaction of nodal demands and requirement of nodal pressures. This study presents a user-friendly package concerning the design of water distribution networks by optimization using reliability considerations / this works employs the algorithm proposed by Goulter and Coals (1986). At the end, a skeletonized network design is offered / various costs are estimated in regard to the degree of reliability.

abstract: The energy consumption by public drinking water and wastewater utilities represent up to 30%-40% of a municipality energy bill. The largest energy consumption is used to operate motors for pumping. As a result, the engineering and control community develop the Variable Speed Pumps (VSPs) which allow for regulating valves in the network instead of the traditional binary ON/OFF pumps. Potentially, VSPs save up to 90% of annual energy cost compared to the binary pump. The control problem has been tackled in the literature as “Pump Scheduling Optimization” (PSO) with a main focus on the cost minimization. Nonetheless, engineering literature is mostly concerned with the problem of understanding “healthy working conditions” (e.g., leakages, breakages) for a water infrastructure rather than the costs. This is very critical because if we operate a network under stress, it may satisfy the demand at present but will likely hinder network functionality in the future. This research addresses the problem of analyzing working conditions of large water systems by means of a detailed hydraulic simulation model (e.g., EPANet) to gain insights into feasibility with respect to pressure, tank level, etc. This work presents a new framework called Feasible Set Approximation – Probabilistic Branch and Bound (FSA-PBnB) for the definition and determination of feasible solutions in terms of pumps regulation. We propose the concept of feasibility distance, which is measured as the distance of the current solution from the feasibility frontier to estimate the distribution of the feasibility values across the solution space. Based on this estimate, pruning the infeasible regions and maintaining the feasible regions are proposed to identify the desired feasible solutions. We test the proposed algorithm with both theoretical and real water networks. The results demonstrate that FSA-PBnB has the capability to identify the feasibility profile in an efficient way. Additionally, with the feasibility distance, we can understand the quality of sub-region in terms of feasibility. The present work provides a basic feasibility determination framework on the low dimension problems. When FSA-PBnB extends to large scale constraint optimization problems, a more intelligent sampling method may be developed to further reduce the computational effort. / Dissertation/Thesis / Masters Thesis Industrial Engineering 2018

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No Brasil, são comuns sistemas de distribuição de água para abastecimento com elevados índices de perdas, nos quais parcela significativa das denominadas perdas físicas é devida às perdas por vazamento. Dessa maneira, o controle efetivo das perdas por vazamento e do comportamento do sistema sob as mais diversas condições operacionais é de fundamental importância, não só do ponto de vista financeiro, no que diz respeito ao desperdício da água bombeada e quimicamente tratada, mas principalmente da preservação deste recurso natural. Com o objetivo de se ter um maior conhecimento do comportamento real de uma rede de distribuição de água, técnicas de calibração, incluindo modelos para avaliação de perdas por vazamentos, vêm sendo propostas. Tais modelos devem considerar a relação pressão x vazamento, bem como a dependência pressão x demanda, face aos diferentes níveis de pressão atuantes em um sistema de distribuição de água. O presente estudo visa o desenvolvimento de uma rotina computacional que considere as perdas por vazamento e a dependência das demandas com a pressão, acoplada ao simulador hidráulico EPANET (ROSSMAN, 2000), utilizando dados de rede hipotética com vistas à calibração em termos das rugosidades absolutas, demandas, diâmetros, cotas topográficas e parâmetros do modelo de vazamentos, bem como a localização de componentes hidráulicos na rede. Para tanto, utilizam-se modelos inversos resolvidos com o suporte da tecnologia dos Algoritmos Genéticos (AGs) e procedimento híbrido (AGs e Método Simplex – NELDER & MEAD, 1965) / Brazil’s water distribution systems usually present a high percentage of so-called physical losses, of which a significant portion is caused by leakage. Therefore, it is of fundamental importance, not only from the financial standpoint – in terms of the pumped and chemically treated water – but also particularly from that of the preservation of this natural resource, to effectively control leakage and the systems’ behavior under several operational conditions. In order to gain a better understanding of the real behavior of a water distribution network, several calibration techniques, including models to evaluate leakage, have been proposed. Those models normally consider the correlation between pressure and leakage, as well as the interdependence of pressure and demand in response to the varying levels of pressure in a water distribution system. The present study seeks to extend these models through the development of a computational routine based on leakage and on pressure-dependent demand, in conjunction with the hydraulic simulator EPANET (ROSSMAN, 2000), using the data from a hypothetical network to calibrate the absolute roughness and diameter of pipes, demands and elevations of nodes and the parameters of the leakage model, as well as the location of hydraulic components in the network. To this end, inverse models are used based on the technology of Genetic Algorithms (GA) and the hybrid procedure (GA and Simplex Method - NELDER & MEAD, 1965)

The need of water and the limited sources, force the researchers to find the most economical and feasible solution in the design of a water distribution network. In this study, reliability and optimization of a water distribution network are taken into account together in the design stage of the network. The relationship between reliability of a water distribution network and its cost is examined during the design of a water distribution network. A methodology for deciding the reliability level of the selected design is proposed by examining the reliability-cost relationship. The design alternatives for the case study area are obtained by the aid of a commercially available software WADISO employing partial enumeration optimization technique. The reliability value for each of the design alternative is calculated according to Misirdali (2003)&rsquo / s adaptation based on the methodology proposed by Bao and Mays (1990) by the aid of a hydraulic network solver program HapMam prepared by Nohut&ccedil / u (2002). For purposes of illustration, the skeletonized form of Ankara Water Distribution Network subpressure zone (N8-1) is taken as the case study area. The methodology in this study, covering the relation between the reliability and the cost of a water distribution network and the proposed reliability level can be used in the design of new systems.

Disinfection of the municipal water systems is mostly achieved by means of chlorine addition at water treatment plants known as sources. Thus, there should be an adequate chlorine concentration at the source for an effective disinfection throughout the system by considering upper and lower limits of disinfectant. However, since the disinfectants are reactive and decays through the system, chlorine added at the source may not be enough to maintain desired disinfectant residuals which may lead to water quality problems in the water distribution system. Moreover, the disinfectants such as chlorine has also an effect to be carcinogen due to formation of disinfectant by-products. Thus, the system should balance the amount of disinfectant supplied while minimizing the health risk. In such a case, it is recommended that one or more booster disinfection stations can be located throughout the system. Such a method can provide more uniform distribution of the chlorine concentration while reducing the amount of the disinfectant used. In this thesis, optimum scheduling, and injection rates of the booster disinfection stations have been searched. The objective is to minimize the injected mass dosage rate subjected to the provision of adequate and more uniform residual concentration in the network. Determination of variable network hydraulics and chlorine concentrations is held out by EPANET network simulation sofware. A C++ code was developed to interface with EPANET by means of the EPANET Programmer&#039 / s Toolkit for linear optimization of the disinfectant mass dosage rate applied to the network.

Water distribution network models are used for different purposes. In this study, a model, used for daily operational issues is concerned. Models results should be consistent with actual conditions for sound decisions during operational studies. Adjusting model parameters according to site measurements in order to fit the model to obtain realistic results is known as calibration. Researchers have carried out numerous studies on calibration and developed various methods. In this study, an actual network (N8.3 Pressure Zone, Ankara) has been calibrated by two classical methods developed by Walski (1983) and Bhave (1988). The network parameter calibrated in this study is Hazen-Williams roughness coefficient, C-factor, and other parameters have been lumped in the C-factor. Results of the analysis showed that, C-factors have been found in a wide range.