Some models for water distribution systems

Abstract

In this paper the results of our investigation of methods and algorithms for operative and dynamical control of water distribution systems are presented. Our investigation was directed to the distribution system equipped with a variety of components—pipes, consumers, valves and the inner water store (a reservoir) as the most important one. The final model of the optimization problem containing all necessary restrictions is so complex that it is impossible to solve it without some special techniques. In the presented study we propose a multilevel approach based on the idea of aggregation of the pipelines network. In the paper the method of determination of aggregated model of the network is presented. The usefulness of this method in the optimization of water supply systems is examined. Based on an aggregated network model one determines optimal strategies for control of pumping stations. The optimization model consists of a linear objective function and quadratic constraints. A nonlinear mixed integer programming problem which is solved by modified branch and bound method is obtained.