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Hydraulic Analysis of Water Distribution Systems Based on Fixed Point Iteration Method

Author

Listed:
  • Hui Zhang

    (Xi’an University of Architecture and Technology)

  • Xin Cheng

    (Northwest Electric Power Design Institute Co., Ltd. of China Power Engineering Consulting Group)

  • Tinglin Huang

    (Xi’an University of Architecture and Technology)

  • Haibing Cong

    (Yangzhou University)

  • Jinlan Xu

    (Xi’an University of Architecture and Technology)

Abstract

Water distribution systems with complex configurations are important urban facilities and the hydraulic analysis is essential for system design, optimization and management. Hydraulic analysis involves the procedure of calculating the hydraulic parameters of nodal pressure heads and pipe flow rates under steady-state condition. The equations governing the heads and flows are nonlinear and the most popular method for solving the equations is the Newton-Raphson method, which is the basis of existing hydraulic simulator (EPANET 2). In this paper, fixed point iteration method is proposed for hydraulic analysis after transformation of the original nonlinear equations. Compared to EPANET 2, the proposed method can analyze a water distribution system without differentiation for the convergence for some problems which cannot be solved by EPANET 2. Three test networks were analyzed by the proposed method and EPANET 2. It is proved that the proposed method could get the convergence after a series of iterations, even in cases that EPANET 2 fail. And the initial values of nodal pressure heads and the specified calculation accuracy are considered to have influences on the calculation procedure.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:31:y:2017:i:5:d:10.1007_s11269-017-1601-1
    DOI: 10.1007/s11269-017-1601-1
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    References listed on IDEAS

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    1. Ping He & Tao Tao & Kunlun Xin & Shuping Li & Hexiang Yan, 2016. "Modelling Water Distribution Systems with Deficient Pressure: An Improved Iterative Methodology," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(2), pages 593-606, January.
    2. Mohd Abdy Sayyed & Rajesh Gupta & Tiku Tanyimboh, 2015. "Noniterative Application of EPANET for Pressure Dependent Modelling 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. 29(9), pages 3227-3242, July.
    3. Abushammala, Mariam & Khuri, S.A. & Sayfy, A., 2015. "A novel fixed point iteration method for the solution of third order boundary value problems," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 131-141.
    4. Ioan Sarbu, 2014. "Nodal Analysis of Urban Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(10), pages 3143-3159, August.
    5. M. Shafiqul Islam & Rehan Sadiq & Manuel J. Rodriguez & Homayoun Najjaran & Alex Francisque & Mina Hoorfar, 2014. "Water distribution system failure: a framework for forensic analysis," Environment Systems and Decisions, Springer, vol. 34(1), pages 168-179, March.
    6. 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.
    7. Ping He & Tao Tao & Kunlun Xin & Shuping Li & Hexiang Yan, 2016. "Modelling Water Distribution Systems with Deficient Pressure: An Improved Iterative Methodology," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(2), pages 593-606, January.
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