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

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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.

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Acknowledgements

This study was supported by the National Natural Science Foundation of China (No. 51508452 and No. 51378413), Teaching reform project of Xi’an University of Architecture and Technology (JG021510), Research team on enhanced purification of drinking water and water quality assurance of Xi’an University of Architecture and Technology.

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Authors and Affiliations

  1. School of Environmental and Municipal Engineering, Xi’an University of Architecture and Technology, Xi’an, 710055, People’s Republic of China

    Hui Zhang, Tinglin Huang & Jinlan Xu

  2. Northwest Electric Power Design Institute Co., Ltd. of China Power Engineering Consulting Group, Xi’an, 710075, People’s Republic of China

    Xin Cheng

  3. School of Environmental Science and Engineering, Yangzhou University, Yangzhou, 225127, People’s Republic of China

    Haibing Cong

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  1. Hui Zhang
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  2. Xin Cheng
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  3. Tinglin Huang
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  4. Haibing Cong
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  5. Jinlan Xu
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Correspondence to Hui Zhang.

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Zhang, H., Cheng, X., Huang, T. et al. Hydraulic Analysis of Water Distribution Systems Based on Fixed Point Iteration Method. Water Resour Manage 31, 1605–1618 (2017). https://doi.org/10.1007/s11269-017-1601-1

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  • DOI: https://doi.org/10.1007/s11269-017-1601-1

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