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Optimal Design for Pressurized Irrigation Subunits with a Minimum Cost and Maximum Area for Uniformly Sloping Fields

Author

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  • Penghui Ma

    (Northwest A & F Universsity)

  • Yajin Hu

    (Northwest A & F Universsity)

  • Hansheng Liu

    (Northwest A & F Universsity)

Abstract

The optimal design for pressurized irrigation subunits is a complicated problem that not only requires a confirmation of the layout but also requires a pipe diameter combination. Using a subunit with single lateral and a subunit with paired laterals as research objects, four mathematical optimization models were established to identify the optimal microirrigation subunit design. The optimization criteria were minimizing the annual total cost (CT) and maximizing the subunit size (A); it was assumed that all the emitters have equal discharge, and only rectangular subunits were considered in this study. No allowable pressure differences allocation between the lateral and the manifold were made in this study, considering that there are many factors that affect the distribution ratio and the overall optimization of the subunit. A genetic algorithm was used to obtain the optimal design when simultaneously considering the layout and pipe diameters of the subunit. The results indicated that the investment cost (Ca) is the most important factor, and it makes up 43–66% of the CT, followed by the water cost (Cw), which accounts for 28–49% of the CT. A subunit with paired laterals is superior to a subunit with single lateral in terms of both the total cost and the control area. On the whole, with the increase in the lateral diameter, both the total cost and the control area will increase. With an increase in the emitter discharge, the total cost increases, while the control area decreases. The change of slope in the lateral direction has little effect on the total cost and control area. The method proposed in this study is applicable to the simultaneous optimization of the subunit in which the layout and area are undetermined, and it may provide a new path towards subunit optimization.

Suggested Citation

  • Penghui Ma & Yajin Hu & Hansheng Liu, 2019. "Optimal Design for Pressurized Irrigation Subunits with a Minimum Cost and Maximum Area for Uniformly Sloping Fields," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(8), pages 2711-2726, June.
    • Handle: RePEc:spr:waterr:v:33:y:2019:i:8:d:10.1007_s11269-019-02243-6
    DOI: 10.1007/s11269-019-02243-6
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    References listed on IDEAS

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    1. Li, Rongbo & Jiang, Zhiqiang & Ji, Changming & Li, Anqiang & Yu, Shan, 2018. "An improved risk-benefit collaborative grey target decision model and its application in the decision making of load adjustment schemes," Energy, Elsevier, vol. 156(C), pages 387-400.
    2. Mohammad Masoumi & Bahram Sami Kashkooli & Mohammad Javad Monem & Hossein Montaseri, 2016. "Multi- Objective Optimal Design of on- Demand Pressurized Irrigation Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(14), pages 5051-5063, November.
    3. Qin Tu & Hong Li & Xinkun Wang & Chao Chen, 2015. "Ant Colony Optimization for the Design of Small-Scale Irrigation Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(7), pages 2323-2339, May.
    4. F. Carrión & J. Montero & J. Tarjuelo & M. Moreno, 2014. "Design of Sprinkler Irrigation Subunit of Minimum Cost with Proper Operation. Application at Corn Crop in Spain," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(14), pages 5073-5089, November.
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    Cited by:

    1. Lin, Xiaomin & Wang, Zhen & Li, Jiusheng, 2022. "Spatial variability of salt content caused by nonuniform distribution of irrigation and soil properties in drip irrigation subunits with different lateral layouts under arid environments," Agricultural Water Management, Elsevier, vol. 266(C).

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