考虑再生循环的多杂质用水网络全局优化

发布时间：2018-04-03 06:37

本文选题：多杂质用水网络　切入点：数学规划模型　出处：《化工进展》2017年06期

【摘要】：引入再生循环单元可以有效地减少多杂质用水系统整体的新鲜水消耗量和废水排放量。其现有的数学规划模型是一个非凸性严重的混合整数非线性规划问题,直接求解不仅计算难度大而且求解速度慢,这样只能得到局部最优解。本文利用分段线性松弛的方法对该模型进行处理,将双线性等式约束转换成线性约束,从而使复杂的水网络模型转换为对应的混合整数线性规划问题,因现有的商业优化软件对混合整数线性规划问题的求解算法已经非常成熟,这样降低了计算难度并取得全局最优解。算例结果表明分段线性松弛的方法可以使求解简单,能够获得全局最优解。管线费用的减少使年度化费用降低,全局优化能得到一个经济性更好的多杂质水网络,这种方法对于节省设备投资和操作费用,具有重要意义。
[Abstract]:The introduction of regenerative recycling unit can effectively reduce the total fresh water consumption and wastewater discharge of the multi-impurity water system.The existing mathematical programming model is a non-convex mixed integer nonlinear programming problem. The direct solution is not only difficult to calculate but also slow to solve so that the local optimal solution can only be obtained.In this paper, the piecewise linear relaxation method is used to deal with the model, and the bilinear equality constraints are transformed into linear constraints, so that the complex water network model is transformed into the corresponding mixed integer linear programming problem.Because the existing commercial optimization software is very mature for solving mixed integer linear programming problem, it reduces the computational difficulty and obtains the global optimal solution.The numerical results show that the piecewise linear relaxation method can make the solution simple and obtain the global optimal solution.The reduction of pipeline cost reduces the annual cost, and the global optimization can get a more economical multi-impurity water network. This method is of great significance for saving equipment investment and operation cost.
【作者单位】：中国石油大学(北京)化学工程学院;中国石油大学(北京)新能源研究院;
【基金】：国家重点基础研究发展计划(2012CB720500) 国家自然科学基金(21576286)项目
【分类号】：TQ021.8;TQ085

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