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Automated Framework for Water Looped Network Equilibrium

Author

Listed:
  • Zahreddine Hafsi

    (National Engineering School of Sfax)

  • Sami Elaoud

    (National Engineering School of Sfax)

  • Manoranjan Mishra

    (Indian Institute of Technology Ropar
    Indian Institute of Technology Ropar)

  • Mohsen Akrout

    (National Engineering School of Sfax)

Abstract

In this paper, a novel algorithm is proposed for balancing water looped network in steady state through a fully automated general framework of hydraulic networks regardless of their topological complexity. The model is developed by combining the following two steps, firstly a set of independent loops are identified based on a graph theoretical analysis in a looped network. Further the second step is devoted to the equilibrium process by determining the flow rate distribution within the network ducts and the pressure in the delivery nodes. The above such equilibrium process gives rise to a system of non linear algebraic equations which are solved numerically using both Hardy Cross (HC) and Newton Raphson (NR) methods. In HC method, the flow correction term is modified and a generalized expression is given to consider various possibilities of independent loops selection. Some real networks topologies that were commonly used as benchmarks, for testing various independent loops selection algorithms, are taken as case studies to apply the general automatic framework for hydraulic network analysis. Such network analysis enhances proving the applicability as well as the effectiveness of the proposed approach. Also, during the equilibrium procedure, it is proved that NR method is capable of producing accurate results and it converges more rapidly comparing to the widely used HC method. Moreover, it is demonstrated that NR’s iterative process, contrary to HC’s one, converges to reliable results even with a choice of random initial flow rates which makes a NR algorithm quite simple to implement without affecting the accuracy of the results.

Suggested Citation

  • Zahreddine Hafsi & Sami Elaoud & Manoranjan Mishra & Mohsen Akrout, 2018. "Automated Framework for Water Looped Network Equilibrium," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(2), pages 641-657, January.
    • Handle: RePEc:spr:waterr:v:32:y:2018:i:2:d:10.1007_s11269-017-1831-2
    DOI: 10.1007/s11269-017-1831-2
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    References listed on IDEAS

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    1. Dejan Brkić, 2011. "Iterative Methods for Looped Network Pipeline Calculation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(12), pages 2951-2987, September.
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    Cited by:

    1. Tamer F. Abdelmaguid, 2018. "An Efficient Mixed Integer Linear Programming Model for the Minimum Spanning Tree Problem," Mathematics, MDPI, vol. 6(10), pages 1-17, September.

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