基于LINGO的梯级水坝系统选址优化建模

Location Optimization Modeling of Cascade Dam System Based on LINGO

摘要: 梯级水坝系统能够对水能进行梯级开发，达到河流水力资源的合理开发和综合利用的目的。本文以卡里巴大坝为例，假定将原有水坝改建为梯级水坝系统。在获得赞比西河中游河段卫星高程数据后，利用地理分析软件得到其中数百公里河段有条件建立梯级水坝的地点及相关地理信息。在利用线性回归拟合模型分析数据误差后，论文利用分析软件筛选出千余组水坝可能选址地点的河流截面和库容数据。最后，利用层次分析法建立了综合评价目标函数，并建立线性优化模型利用软件对水坝选址方案进行优化求解，得到成本和经济效益均超越原有大坝的优化解集。本文的研究方法对水利系列的开发有较大的借鉴意义。

Abstract: The cascade dam system can be used in hydropower cascade development to achieve the purpose of rational development and comprehensive utilization of river water resources. Taking Kariba dam as an example, this paper assumed that the original dam will be converted into a cascade dam system. After obtaining the satellite elevation data of the middle reaches of the Zambezi River, the geographic analysis software was used to obtain the location and related geographic information of the cascaded dams where hundreds of kilometers of them were conditionally constructed. After using the linear regression fitting model to analyze the data error, the paper screened out the river cross section and the reservoir capacity data of the possible locations of the dam of a thousand dams by using the analysis software. Finally, the analytic hierarchy process was used to establish the objective function of the comprehensive evaluation, and the linear optimization model was established to optimize the solution of the dam site selection by software. The optimal solution set was obtained which surpasses the original dam with the cost and economic benefits. The research method of this article is of great reference to the development of water conservancy series.