Author(s): Ioan Sarbu
Linked Author(s): Ioan Sârbu
Keywords: Water supply; Distribution; Networks; Optimization; Design; Nonlinear model
Abstract: In this paper, a new nonlinear optimization model is developed which enables us to design a water distribution systems supplied by pumping or gravitation from one or more node sources, which satisfies all constraints including pipe diameters, flow velocities, and nodal pressure heads with a minimum total cost. This model could be applied to any looped or treeshaped network. The hydraulic analysis of the water distribution system is perfomed by the iterative Newton-Raphson method. This analysis is coupled with a nonlinear optimization technique in order to minimize the design total cost. This technique has the advantage that it uses a specialized optimization algorithm which minimizes directly an objective multivariable function without constraints, implemented in a computer program for IBM-PC compatible systems. This program is capable of handling nonstandard network components such as booster pumps, reservoirs, check valves and pressure-reducing valves. The advantages to use the proposed program are explained from the numerical application for a complex constructive variant of water distribution network. The new optimization model can serve as guidelines to supplement existing procedures of network design.
Year: 2005