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

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  • Wang, Yumin
  • Zhu, Guangcan

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.

Suggested Citation

  • Wang, Yumin & Zhu, Guangcan, 2021. "Evaluation of water quality reliability based on entropy in water distribution system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    • Handle: RePEc:eee:phsmap:v:584:y:2021:i:c:s0378437121006464
    DOI: 10.1016/j.physa.2021.126373
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    References listed on IDEAS

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    1. Kazemian-Kale-Kale, Amin & Bonakdari, Hossein & Gholami, Azadeh & Khozani, Zohreh Sheikh & Akhtari, Ali Akbar & Gharabaghi, Bahram, 2018. "Uncertainty analysis of shear stress estimation in circular channels by Tsallis entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 558-576.
    2. Singh, Vijay P. & Oh, Juik, 2015. "A Tsallis entropy-based redundancy measure for water distribution networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 360-376.
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    Cited by:

    1. Fang Dong & Jiyao Yin & Jirubin Xiang & Zhangyu Chang & Tiantian Gu & Feihu Han, 2023. "EWM-FCE-ODM-Based Evaluation of Smart Community Construction: From the Perspective of Residents’ Sense of Gain," Sustainability, MDPI, vol. 15(8), pages 1-21, April.
    2. Luigi-Ionut Catana & Vasile Preda, 2022. "A New Stochastic Order of Multivariate Distributions: Application in the Study of Reliability of Bridges Affected by Earthquakes," Mathematics, MDPI, vol. 11(1), pages 1-14, December.
    3. Li, Chuchu & Lin, Qin & Huang, Dong & Grifoll, Manel & Yang, Dong & Feng, Hongxiang, 2023. "Is entropy an indicator of port traffic predictability? The evidence from Chinese ports," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 612(C).

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