Global Bounds on Optimal Solutions for the Production of 2,3 Dimethylbutene-1
Global Bounds on Optimal Solutions for the Production of 2,3 Dimethylbutene-1
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2,3 二甲基丁烯-1 生产最佳解决方案的全球范围
DOI：
10.1021/ie050584j
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发表时间：
2006
影响因子：
4.2
通讯作者：
Robert Weismantel
中科院分区：
文献类型：
--
作者：
Jignesh Gangadwala;Achim Kienle;Utz–Uwe Haus;Dennis Michaels;Robert Weismantel
本文研究了反应-精馏联合过程的计算机辅助优化设计。2,3-二甲基丁烯-2异构化制溶剂2,3-二甲基丁烯-1是一个创新的基准问题。可能的工艺候选者是反应精馏塔，与非反应精馏塔耦合的反应器，或顶部有非反应精馏塔的反应再沸器。建立了不同反应过程的数学模型，确定了Amberlyst 15催化剂上异构化反应的动力学。局部混合积分非线性优化表明，反应精馏具有最低的年化总成本。然而，由于底层优化问题的非凸性，局部方法不能排除其他候选过程的更好解。因此，提出了一种新的方法，该方法为次优解提供了一个全局下界，从而证明了反应精馏是最佳选择。该方法基于对底层模型方程的适当多面体逼近，从而求解混合积分线性优化问题。
This paper is concerned with computer-aided optimal design of combined reaction−distillation processes. The production of solvent 2,3-dimethylbutene-1 by isomerization of 2,3-dimethylbutene-2 is considered as an innovative benchmark problem. Possible process candidates are a reactive distillation column, a reactor coupled to a nonreactive distillation column, or a reactive reboiler with a nonreactive distillation column on top. Suitable mathematical models of the different processes are formulated, and the reaction kinetics of the isomerization over an Amberlyst 15 catalyst is determined. Local mixed-integernonlinearoptimization indicates that reactive distillation has the lowest total annualized costs. However, because of the nonconvexity of the underlying optimization problem, better solutions for the other process candidates cannot be excluded with the local approach. Therefore, a new approach is presented which provides a global lower bound for the second best solution and therefore proves that reactive distillation is the best option. The new approach is based on some suitable polyhedral approximation of the underlying model equations leading to a mixed-integerlinearoptimization problem.