Efficient Optimization-Based Design of Distillation Columns for Homogenous Azeotropic Mixtures

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• 作者：Sven Kossack ; Korbinian Kraemer ; Wolfgang Marquardt
• 刊名：Industrial & Engineering Chemistry Research
• 出版年：2006
• 出版时间：December 6, 2006
• 年：2006
• 卷：45
• 期：25
• 页码：8492 - 8502
• 全文大小：373K
• 年卷期：v.45,no.25(December 6, 2006)
• ISSN：1520-5045

文摘

Design of distillation columns using mathematical programming has been a research topic for over a decade.However, a lack of robustness and high sensitivity toward the initial solution have prevented the widespreaduse. To overcome the numerical problems of the optimization algorithms, a combination of shortcut calculationswith the rectification body method (RBM) and rigorous optimization is proposed. All potential splits can begenerated and ranked based on the minimum energy demand calculated in the shortcut step. The least attractivesplit alternatives can be discarded to reduce the complexity of the rigorous model, while the results of theshortcut calculations for the promising alternatives can be used further for the initialization and bounding ofthe rigorous optimization. The rigorous optimization problems are then optimized as successive relaxed mixed-integer nonlinear programming (SR-MINLP) problems: instead of a combinatorial expensive MINLP problem,a succession of NLP problems with decreasing bounds is solved. An integer solution is achieved in all casestudies considered. The robustness of the algorithm is improved, and the calculation times are reduced comparedto existing methods. The design methodology is reliable and yields good results. It is illustrated with severalcase studies involving azeotropic mixtures.