Tank Simulation for the Optimization of Water Distribution Networks

Abstract

In this paper an original approach to the simulation of floating-on-the-system tanks as decision variables for water distribution system design optimization is presented, aiming to bridge the gap between traditional engineering practice and mathematical considerations needed for genetic algorithms. The paper includes a systematic and detailed critical overview of various mathematical approaches in literature, as well as a novel, more "engineering oriented" approach to the simulation of tanks as decision variables for water distribution system design optimization, describing in detail assumptions and impacts to the evaluation of potential solutions. Tank simulation is based on two decision variables: capacity and minimum normal operational level, omitting risers. Shape and ratio between emergency/total capacities are taken into consideration as design parameters. Assessment of tank performance is carried out by four criteria for the normal daily operational cycle, differentiating between operational and filling capacity, as well as two further criteria for emergency flows. The original design and operational mathematical assumptions are implemented in a fuzzy multiobjective GA model, which is applied to the well-known example from literature "Anytown" water distribution network to benchmark the results.Subject Heading List to the CEDB fuzzy sets, optimization models, multiple objective analysis, design, water distribution, pipe networks, water tanks

Optimization of water reservoir volume in an urban water supply system

“…Also, [13] introduce simplification through linearization in such a way that the size of the reservoir volume during different pumping periods is determined based on the volume sizes at the beginning and end of the pumping period. The paper [14] from an engineering and mathematical point of view describes the parameters analyzed for changes in the volume of the reservoir within the genetic algorithm (Genetic algorithms -Gas), which is used to optimize the water supply network. The reservoir is a decision variable regarding the change in volume and water level in it, where again, the volume of the reservoir is crucial.…”

Effect of Storage Tank Size on the Minimization of Water Distribution System Cost and Greenhouse Gas Emissions While Considering Time-Dependent Emissions Factors

“…However, while storage tank size has been considered with respect to minimizing WDS costs 83 (Batchabani and Fuamba 2012;Farmani et al 2006;Farmani et al 2005;Lansey and Mays 84 1989; Ostfeld and Tubaltzev 2008;Prasad 2010;Vamvakeridou-Lyroudia et al 2007;85 Vamvakeridou -Lyroudia et al 2005;Walters et al 1999;Wu et al 2010b), less consideration 86 has been given to this issue when considering the minimization of GHG emissions (Basupi et 87 al. 2013;Basupi et al 2014;Herstein et al 2011;Herstein and Filion 2011;Marchi et al 88 2014; Wu et al 2010b).…”

The effect of demand, tank parameters, and pumping stations on energy use in municipal drinking water distribution systems

“…optimization research in MDWDSs as described in Chapter 2 (p.11), there is much valuable research for storage tank optimization as well.Walski et al (1987) used a hypothetical network to optimize the cost of designing pipes, pumps, and tanks Vamvakeridou-Lyroudia et al (2007). found that storage tank capacity and minimum normal operational level have an effect on cost and system hydraulics.…”