Modeling and Optimization of Potable Water Network

Abstract

A potable water network hydraulic analysis is presented in this paper. A mathematical model was developed, the model treats looped network. A computer program is developed in order to facilitate water distribution system design, which satisfies all constraints including pipe diameter and nodal pressure. An optimization technique is developed in order to evaluate the optimum network configuration and cost, the parameters are pipe diameter, flow rate, corresponding pressure and hydraulic losses. A non-linear technique was adopted in the solution. The model uses the sequential unconstrained minimization technique (SUMT) of Fiacco and McCormick (1964) to solve the optimal design of network. The adopted optimization technique decreases the required number of design iterations which for example may reach 1.48 billion iterations for a network with 8 pipes and a set of 14 available commercial pipes. The initially assumed pipe diameters are successively adjusted to suit the existing standard commercial pipe diameters. The technique was applied on a simple case study of gravity-fed network. The objective of the present investigation is to present a practical tool to help in the optimization of water distribution system, design and operation.

A New Adaptive Penalty Method for Constrained Genetic Algorithm and Its Application to Water Distribution Systems

“…Other developments in LPG are used in Sonak and Bhave [5] and Sârbu and Borza [6]. Nonlinear programming (NLP) technique was developed and applied by Samani and Naeeni [7], Djebedjian et al [8] and Sârbu and Kalmár [9].…”

Mathematical Programming Techniques for Designing Minimum Cost Pipeline Networks for CO2 Sequestration

“…Preliminary numerical results were also presented. The work that is done follows closely on the footsteps of previous work in pipeline design, as outlined in [2], [3], [4], [5], [6] and [8]. There are two main contributions of this study: (1) we bring the state-of-the-art modeling and optimization technology into solving such problems.…”

“…Nonlinear programming formulations of models for water distribution networks and oil and natural gas pipelines are given in [8], [3], and [4]. In fact, problems that arise in fossil fuel networks are, in principle, the reverse of designing a CO 2 sequestration network.…”

“…There are different approaches presented in [6], [3], and [5] to solve the pipeline optimization problems. [6] uses a linearization of the model, [3] uses a Sequential Unconstrained Minimization technique (SUMT), and [5] uses a global optimization approach.…”

“…[6] uses a linearization of the model, [3] uses a Sequential Unconstrained Minimization technique (SUMT), and [5] uses a global optimization approach. In this paper, we are proposing using a state-of-the-art nonlinear optimization software called LOQO [10], which uses an infeasible interior-point method approach for finding local optima for nonconvex, nonlinear optimization problems.…”