Continuous reactor network design for multi-product rigid polyols under uncertainty

Yunhan Wen, Lorenz T. Biegler, Maria P. Ochoa, John Weston, Nima Nikbin, Jeff Ferrio
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Abstract

Differential-algebraic optimization models for rigid polyol production from our previous work are able to generate optimal reactor configurations along with the optimal operation recipe. However, their performance could degenerate when uncertainty comes into play. In this study, we apply a multi-scenario (MS) strategy to analyze the impact of kinetic uncertainty on reactor network design. Our approach first identifies scenarios that are worst-case violations of inequality constraints. Then, we solve the MS problem with current number of scenarios and obtain the optimal common (or first-stage) decision profiles (q). Next, we apply an iterative scenario sampling and updating strategy, where the uncertainty range is sampled for fixed q to discover constraint violations that determine the need for additional scenarios. This process continues until no further violations are detected. We adopt the MS method to three continuous reactor networks that were optimized in our previous work: CSTR in series, single differential sidestream reactor (DSR) and CSTR followed by a DSR. Among these, the DSR reactor is found to be the most economical and robust with respect to uncertainties.

不确定条件下多产品刚性多元醇的连续反应器网络设计
从我们以前的工作中得到的刚性多元醇生产的微分代数优化模型能够产生最优的反应器配置和最优的操作配方。然而,当不确定性出现时,它们的表现可能会下降。在本研究中,我们采用多场景策略来分析动力学不确定性对反应器网络设计的影响。我们的方法首先确定违反不平等约束的最坏情况。然后,我们用当前场景的数量来解决MS问题,并获得最优的公共(或第一阶段)决策概要(q)。接下来,我们应用迭代场景采样和更新策略,其中对固定q的不确定性范围进行采样,以发现约束违规,从而确定是否需要额外的场景。这一过程一直持续到没有发现进一步的违规行为为止。本文采用质谱法对前人优化过的三个连续反应器网络进行了分析:串联CSTR、单差动侧流反应器(DSR)和CSTR后接DSR。其中,DSR反应器在不确定性方面是最经济和最稳健的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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CiteScore
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