Evaluation of water quality reliability based on entropy in water distribution system

Yumin Wang and Guangcan Zhu

Physica A: Statistical Mechanics and its Applications, 2021, vol. 584, issue C

Abstract: In this paper, water quality redundancy/reliability was proposed based on information entropy technology including Tsalli entropy and Shannon entropy in water distribution system (WDS), which was applied to 26 WDS with various layouts. The residual chlorine is considered to be representative of water quality parameter, comply with first-order decay model. The method was performed based on EPANET toolkit and MATLAB environment. The results indicated that approach 1 focused on local nodal water quality is more suitable for evaluating water quality reliability, especially for small WDS. The water quality redundancy increased with the loop number for various layouts, and has an exponential relationship with distance-weighted average nodal degree. The water quality redundancy has a linear relationship with the hydraulic redundancy. In addition, the water quality reliability based on Tsalli entropy and Shannon entropy decreased with the value of decay coefficient, which indicated that the water quality redundancy/reliability can be applied to evaluate and compare the reliability of WDS from view of water quality. The proposed evaluation method based on information entropy can help design, analyze, and improve the scenarios in WDS.

Keywords: Water quality reliability; Water quality redundancy; Tsalli entropy; Shannon entropy; Water distribution system (WDS) (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:584:y:2021:i:c:s0378437121006464

DOI: 10.1016/j.physa.2021.126373

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