Continuous reactor network design for multiple rigid polyol productions

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

This study focuses on developing continuous reactor network models able to produce multiple rigid polyol products under strict product and safety specifications. We first determine reactor networks and operating decisions for minimum capital cost, and then find reactor networks with optimal profit through multi-criteria optimization, using a Pareto chart to analyze the relationship between capital cost and net sales. Based on our previous study, we narrow down the types of continuous reactors that can be part of the network to two: plug flow reactor (PFR) with multiple feed injection points and a network of continuous stirred tank reactors (CSTR). The CSTR model can be written as a mixed integer nonlinear programming (MINLP) problem. The PFR model is a differential algebraic equation (DAE) optimization problem. The simultaneous collocation method is applied to transform the resulting DAE model into an MINLP, which is solved as a NLP by fixing the binary terms. Both capital cost and multi-criteria problems are formulated as multi-scenario optimization problems to determine the best single network design to produce multiple polymer products.

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多种刚性多元醇生产的连续反应器网络设计
本研究的重点是开发能够在严格的产品和安全规范下生产多种刚性多元醇产品的连续反应器网络模型。首先以最小资金成本为目标确定反应堆网络和运行决策,然后通过多准则优化找到利润最优的反应堆网络,利用帕累托图分析资本成本与净销售额之间的关系。基于我们之前的研究,我们将可以作为网络一部分的连续反应器的类型缩小到两种:具有多个进料注射点的塞流反应器(PFR)和连续搅拌槽反应器(CSTR)网络。CSTR模型可以写成一个混合整数非线性规划(MINLP)问题。PFR模型是一个微分代数方程(DAE)优化问题。采用同时搭配法将DAE模型转化为MINLP,并通过固定二值项作为NLP进行求解。资本成本和多准则问题都被表述为多场景优化问题,以确定生产多种聚合物产品的最佳单一网络设计。
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