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基于改进NSGA-Ⅱ算法的加压滴灌管网优化设计

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[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.
Optimizing pressurized drip irrigation pipe network design using an improved NSGA-Ⅱ algorithm and engineering depreciation cost method
[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.

improved NSGA-Ⅱ algorithmoptimization modelpipe network optimization designpressure drip irrigation networkmulti-objective optimization

樊凯、霍雪飞、王文娥、胡笑涛、冉聃颉、皮滢滢

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西北农林科技大学 旱区农业工程教育部重点实验室,陕西 杨凌 712100

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

2025

灌溉排水学报
水利部农田灌溉研究所,中国农科院农田灌溉研究所 中国水利学会,国家灌溉排水委员会

灌溉排水学报

影响因子:0.502
ISSN:1672-3317
年,卷(期):2025.44(1)