摘要
提出了针对通用换热网络综合(HENS)的广义析取规划(GDP)模型。广义析取规划模型通过引入逻辑变量代替0-1整形变量,使用析取式实现约束的分支选择。相比于传统MINLP模型,换热网络综合的广义析取模型具有以下优点:(1)条件建模的直观性;(2)通过对约束的动态选择,在减少冗余约束的同时更消去了不存在单元所带来的非线性费用计算模块,从而大大降低NLP子问题的求解复杂度,使求解更简单。另外,提出了一种混杂算法用来求解换热网络算例的广义析取规划模型。在外层使用启发式算法搜索最优结构,在内层调用确定型算法求解非线性规划子问题。结果表明,GDP模型无论在简洁性还是易求解性上都优于传统MINLP模型,可以有效地求解通用换热网络的综合问题。
By introducing the conditional modeling technique into the mixed integer nonlinear programming （MINLP） model of heat exchanger networks synthesis （HENS）,a generalized disjunctive programming （GDP） model for HENS was proposed.The GDP model adopts a set of logical variables to accomplish the conditional selection of constraints.Compared with the original MINLP model for HENS,the GDP model is more straightforward in the modeling stage.Moreover,the dynamic selection of constraints greatly reduces the complexity in the NLP sub-problems.An automatic elimination of the cost-computation terms for non-existing units also facilitates the solving process.Together with the GDP modeling of HENS,a novel hybrid method,with Tabu Search （TS） in the outer-layer and gradient-based optimizer in the inner-lay,was proposed to solve this GDP model.A comparison with traditional MINLP models for HENS was also conducted via case studies,and the advantages in model＇s simplicity and computational efficiency of using GDP can be obviously observed.The results show that the proposed GDP with the hybrid solver is effective in dealing with HENS.
出处
《高校化学工程学报》
EI
CAS
CSCD
北大核心
2010年第4期670-675,共6页
Journal of Chemical Engineering of Chinese Universities
基金
国家973资助项目(2009CB320603)
国家自然科学基金项目(60704029)
863重点项目(2008AA042902)
