| 引用本文: | 樊 凯,霍雪飞,王文娥,等.基于改进NSGA-II算法的加压滴灌管网优化设计[J].灌溉排水学报,2025,44(1):59-65. |
| FAN Kai,HUO Xuefei,WANG Wen’e,et al.基于改进NSGA-II算法的加压滴灌管网优化设计[J].灌溉排水学报,2025,44(1):59-65. |
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| 摘要: |
| 【目的】加快滴灌管网技术快速普及，提高管网系统的经济性与可靠性。【方法】以单位面积成本最低为经济目标，以不利节点的富余水头方差为可靠性目标，并考虑实际管网工程投资中的折旧费与运行管理费用建立加压滴灌管网优化设计数学模型，开展优化设计。以新疆某大型灌区内某加压滴灌管网系统为例，采用改进NSGA-II算法方法与NSGA-II算法对其进行优化。【结果】改进NSGA-II算法的Pareto前沿解优于NSGA-II算法；相同单位面积成本费用下，改进NSGA-II算法求得的管网系统可靠性更高；经50次独立计算，改进NSGA-II算法的均匀性指数（0.371）低于NSGA-II算法的均匀性指数（0.404）；基于改进NSGA-Ⅱ算法求解得到的单位面积成本费用为792.92元/hm2，较原工程方案的单位面积成本费用851.89元/hm2降低了6.92%。不利节点的富余水头方差从0.15降至0.06。【结论】改进NSGA-Ⅱ算法的探索能力较NSGA-Ⅱ算法强，能够提供更优的解决方案，得到的优化方案能够同时提高管网系统的经济性和可靠性。 |
| 关键词: 改进NSGA-II算法；优化模型；管网优化设计；加压滴灌管网；多目标优化 |
| DOI：10.13522/j.cnki.ggps.2024243 |
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| Optimizing pressurized drip irrigation pipe network design using an improved NSGA-II algorithm and engineering depreciation cost method |
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FAN Kai, HUO Xuefei, WANG Wen’e, HU Xiaotao, RAN Danjie, PI Yingying
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Key Laboratory of Agricultural Soil and Water Engineering in Arid and Semiarid Areas,
Ministry of Education, Northwest A&F University, Yangling 712100, China
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| Abstract: |
| 【Objective】Optimizing pipe networks is a critical aspect of drip irrigation design. This paper proposes a multi-objective method to optimize pressurized drip irrigation network design and evaluate its applicability.【Method】The optimization method incorporates two objectives: minimizing the cost per unit area and improving network reliability by reducing the variance of surplus head at unfavourable nodes in the network. A mathematical model was developed, accounting for depreciation costs and operation and management expenses. The proposed model was applied to a pressurized drip irrigation network in an irrigation area in Xinjiang. The performance of the improved NSGA-II (Non-dominated Sorting Genetic Algorithm II) was compared with the original algorithm by analysing the Pareto frontier solutions.【Result】The Pareto frontier solution obtained by the improved NSGA-II algorithm is better than that obtained by the original algorithm. When the cost of a unit area was the same, the optimal network obtained by the improved NSGA-II algorithm was more reliable than that obtained by the original algorithm. Across 50 independent calculations, the uniformity index value of the improved NSGA-II and the original algorithm was 0.371 and 0.404, respectively. The cost of a unit area calculated using the improved NSGA-II algorithm was 792.92 yuan/hm2, compared to 851.89 yuan/hm2 budgeted in the original project. The optimisation calculated by the proposed method reduced the variance of surplus head at the unfavourable nodes in the network from 0.15 to 0.06.【Conclusion】The improved NSGA-II algorithm is more effective than the original algorithm, offering a practical approach to reducing costs and enhancing the reliability of pressurized drip irrigation pipe networks and similar hydraulic systems. |
| Key words: improved NSGA-II algorithm; optimization model; pipe network optimization design; pressure drip irrigation network; multi-objective optimization |
