基于最大控制面积和最低费用的微灌小区管网优化

    Optimization of basic irrigation controlling area network for micro-irrigation based on maximum control area and minimum cost models

    • 摘要: 传统微灌田间管网优化设计需讨论系统允许水头差在毛管、支管间的分配和不同地形坡度下管道压力最大、最小值的位置,且对灌水小区最大控制面积缺乏准确地定量描述。为扩大灌水小区面积、简化管网系统并进一步降低管网建设和运行成本,该文为毛管单向和双向布置的微灌灌水小区建立基于最大控制面积和单位面积管网最低投资费用的目标函数,应用遗传算法进行优化求解,得到满足灌水均匀度压力约束条件的各目标函数的管道组合方式。该优化方法将灌水小区作为一个整体,依据系统内压差影响因素坡度(地形高差)和水力坡度(沿程、局部水头损失)直接获得各出水口的相对压力值,方法简便且能使结果趋于最优。经算例计算表明,若以控制面积最大为目标,毛管双向布置的单位面积费用可比毛管单向布置少23%~36%,同时前者控制面积扩大23%~24%;若以单位面积费用最低为目标,与毛管单向布置相比,毛管双向布置的单位面积费用节省7%~10%、控制面积扩大105%~200%。可见,2种布置模式中,毛管双向布置在单位面积经济性和控制面积最大化方面比单向布置优势更大。该研究对于微灌管网优化设计具有重要的理论价值和实践意义。

       

      Abstract: Abstract: System allowable pressure beforehand distribution between laterals and branch pipes, and the location analysis of the maximum and minimum water pressure points are often involved in the traditional optimization way of irrigation network for micro-irrigation. However, the study of maximum control area of basic irrigation controlling area network is inadequate. In this paper, in order to expand the control area, simplify the structure and lower the cost of basic irrigation controlling area network system, the objective functions of basic irrigation controlling area network were established. The function was modeled by taking some typical commercial pipes for branch and lateral pipe as the research object. The network's laterals were unidirectional or bidirectional for micro-irrigation. There were two models including maximum control area model and the minimum cost per area model, respectively. According to the actual engineering requirements and taking practical types of pipes in the market into consideration, we selected seven pipes. These pipes had different types of diameter as branch pipes and same type lateral pipes. The branch pipes were connected together in the order of diameter from large pipe diameter to the small one. In addition, same diameter lateral pipes were connected to the outlets of branch pipes. Considering planting characteristics and the pattern of water requirements of crop, distance between two adjacent outlets of branch pipes or lateral pipes could be set as the constant standard length. In order to facilitate the optimal design of the micro-irrigation network, every type of pipes, including branch pipes or lateral pipes, was considered as being composed of integral units of constant standard length and a unique allowance (less than the constant standard length) that was located in front of branch pipes or lateral pipes. There were two lateral layouts in the system, unidirectional and bidirectional. Then pipeline network arrangement of basic irrigation controlling area was accomplished. First, we supposed that flow of every lateral outlet was in the condition of the design flow and maximum pressure drop of all outlets in the basic irrigation controlling area network system for micro-irrigation should be less than allowable pressure; then the optimal combinations of pipelines were given based on matlab genetic algorithm toolbox (GA toolbox). The pipelines met the pressure condition in accordance with irrigation uniformity. The network was considered as a whole in this method. Practically, the paper simulated water pressure factors such as the surface slope, and the hydraulic gradient for value of every outlet including all laterals and branch pipes. In the method, the system allowable pressure, and the location discussion of the maximum and minimum water pressure points could be ignored. Pipe diameter adjusting based on the optimal combinations result was not necessary. Nevertheless, the optimal combinations result could be applied to engineering design directly. The results showed that based on maximum control area model,the control area of the network with bidirectional laterals was significantly higher than unidirectional one. The number was increased by about 23%-24% and the cost per area was reduced by about 23%-36%;In the model of minimum cost per hectare, compared with unidirectional laterals, the control area of bidirectional was improved by about 105%-200%. Meanwhile, the cost was decreased by about 7%-10%. The optimization results indicated that the network with bidirectional laterals was superior to unidirectional one in all respects. Optimization design results can be improved continuously by adjusting system parameters such as pipe diameter and length. This design method has practical meaning and theory value in optimization of micro-irrigation network.

       

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