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A Graph Portioning Approach for Hydraulic Analysis-Design of Looped Pipe Networks

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  • Mohammad Rahimi
  • Ali Haghighi

Abstract

This study introduces a new formulation for hydraulic analysis and design of looped pipe networks. The network is partitioned into two sub-graphs so-called the base and the remainders graphs. The base graph is a spanning tree of the network and, the remainders graph includes pipes hypothetically removed from the network to open the loops. The network governing equations of mass and energy conservation are manipulated so that, pipe flows in the remainders and head losses in the base graph are considered as independent variables to calculate pipe diameters directly. The method is applied to two example networks and the results are discussed. The new approach is found to be computationally efficient and useful for design and optimization of pipe networks. Copyright Springer Science+Business Media Dordrecht 2015

Suggested Citation

  • Mohammad Rahimi & Ali Haghighi, 2015. "A Graph Portioning Approach for Hydraulic Analysis-Design of Looped Pipe Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(14), pages 5339-5352, November.
    • Handle: RePEc:spr:waterr:v:29:y:2015:i:14:p:5339-5352
    DOI: 10.1007/s11269-015-1121-9
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    References listed on IDEAS

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    1. Ali Haghighi & Hossein Samani & Zeinab Samani, 2011. "GA-ILP Method for Optimization of Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(7), pages 1791-1808, May.
    2. Önder Ekinci & Haluk Konak, 2009. "An Optimization Strategy for Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(1), pages 169-185, January.
    3. Milan Cisty, 2010. "Hybrid Genetic Algorithm and Linear Programming Method for Least-Cost Design of Water Distribution Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(1), pages 1-24, January.
    4. D. Mora-Melia & P. Iglesias-Rey & F. Martinez-Solano & V. Fuertes-Miquel, 2013. "Design of Water Distribution Networks using a Pseudo-Genetic Algorithm and Sensitivity of Genetic Operators," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(12), pages 4149-4162, September.
    5. J. Reca & J. Martínez & C. Gil & R. Baños, 2008. "Application of Several Meta-Heuristic Techniques to the Optimization of Real Looped Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(10), pages 1367-1379, October.
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    Cited by:

    1. Hui Zhang & Xin Cheng & Tinglin Huang & Haibing Cong & Jinlan Xu, 2017. "Hydraulic Analysis of Water Distribution Systems Based on Fixed Point Iteration Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(5), pages 1605-1618, March.

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