Some observations on energy loss and network entropy in water distribution networks

Some observations on energy loss and network entropy in water distribution networks

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Article ID: iaor20042208
Country: United Kingdom
Volume: 35
Issue: 4
Start Page Number: 375
End Page Number: 389
Publication Date: Aug 2003
Journal: Engineering Optimization
Authors: ,
Keywords: quality & reliability, energy, networks
Abstract:

The design of water distribution networks has been extensively studied with the aid of computers, and the focus has shifted from merely satisfying the hydraulic requirements to fulfilling the need for reliability. One of the interesting research areas recently is the use of informational entropy as a surrogate measure for reliability. The actual meaning of the informational entropy for water distribution network has not been fully elucidated, and it was hypothesised that reliability is in some way proportional to the numerical value of network entropy. The purpose of this paper is to explore the relationship between energy loss and network entropy. The investigation approach used is to take a simple looped network and individually vary the pipe diameters from zero to infinity, and calculate the corresponding network entropy and energy loss for the water distribution network. The results revealed many interesting observations in the variation of network entropy with pipe resistance coefficient Ki and the revelation of local maximum and minimum points.

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