基于机会约束规划模型的灌溉管网不确定优化研究

Uncertain optimal design of irrigation pipe network with chance-constrained programming

【目的】弥补管网优化设计确定性模型虽然简化了计算,但忽略了一些不确定参数对优化结果影响的不足。【方法】将管段设计流量、节点最小工作水头和管道粗糙系数等参数作为随机变量,分别建立了基于随机模拟技术的重力和泵站加压两种输配水系统的机会约束规划模型;在随机模拟技术基础上,用列队竞争算法对该模型进行求解。【结果】工程实例验证表明,不确定参数对优化结果有显著影响,随着不确定参数变化范围的增加,系统的泵站扬程和投资费用也随之增加。【结论】研究建立的优化方法与工程实际情况更接近,弥补了确定性规划模型的不足。

[Objective] The existing water distribution pipe net work determine optimal design model simplified the calculation,but left out the influence on optimal result of uncertain parameters. [Method] This paper took pipe flow, nodal required minimal water head and pipe roughness coefficient as stochastic, established pipe network chance-constrained programming models for optimal design of water distribution network by gravity pressure and pump station. Based on the stochastic simulation technique, line-up competition algorithm was applied for model solving. [Result] The result testified by case study showed that the uncertain variable had obvious influence on optimal result, and the wider variable range, the larger pump and cost. [Conclusion] This method is colser to reality and supplenments the shortage of the existing design model.