基于广义析取动态优化模型综合间歇精馏系统

Optimal Synthesis of Batch Distillation Systems Based on a General Disjunctive Dynamic Optimization Model

基于数学规划技术提出间歇精馏过程设计与操作同步优化方法。首先,在原状态空间超级结构基础上嵌入时间维度,形成状态-时-空间超级结构,扩大间歇精馏过程优化空间。其次,将广义析取规划的思想引入间歇精馏动态优化模型,增加模型的直观性和可扩展性,并通过逻辑与析取约束,对方程进行合理分类,有效降低冗余方程导致的计算复杂度。新的优化策略采用严格模型,去除了恒摩尔流等简化假设,通过综合权衡设备投资、公用工程费用和操作周期等因素,一步获得最佳的间歇精馏塔型配置、结构参数和决策变量的动态控制方案。最后,以不同条件下苯-甲苯二元物系的间歇精馏分离为例展示了其有效性。

A systematic method based on mathematical programming techniques was proposed to optimize the design and operation of batch distillation processes. State-Time-Space （STS） superstructure was constructed by adding a time component into the original State-Space superstructure, which extends the scope of batch distillation optimization. A batch distillation General Disjunctive Dynamic Optimization （GDDO） model was proposed with logic and disjunctive constraints, and the frame work was straightforward and extendable. All equations were reasonably classified by these constraints to reduce the computational complexity caused by redundant equations. Moreover, a rigorous model without constant molar overflow hypothesis was adopted. By considering the trade-offs between capital investments, utility costs and operating cycles, a simultaneous optimization strategy is developed to capture the optimal column configuration, design parameters and operation conditions in one step. A case study of benzene and toluene separation was presented to illustrate the effectiveness of this proposed approach.