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Toward Fast Dynamic Optimization: An Indirect Algorithm That Uses Parsimonious Input Parameterization
Industrial & Engineering Chemistry Research ( IF 4.2 ) Pub Date : 2018-07-10 , DOI: 10.1021/acs.iecr.8b02109
Erdal Aydin 1, 2 , Dominique Bonvin 3 , Kai Sundmacher 1, 4
Affiliation  

Dynamic optimization plays an important role toward improving the operation of chemical systems, such as batch and semibatch processes. The preferred strategy to solve constrained nonlinear dynamic optimization problems is to use a so-called direct approach. Nevertheless, based on the problem at hand and the solution algorithm used, direct approaches may lead to large computational times. Indirect approaches based on Pontryagin’s Minimum Principle (PMP) represent an efficient alternative for the optimization of batch and semibatch processes. This paper details the combination of an indirect solution scheme together with a parsimonious input parametrization. The idea is to parametrize the sensitivity-seeking inputs in a parsimonious way so as to decrease the computational load of constrained nonlinear dynamic optimization problems. In addition, this article discusses structural differences between direct and indirect approaches. The proposed method is tested on both a batch binary distillation column with terminal purity constraints and a two-phase semibatch hydroformylation reactor with a complex path constraint. The performance of the proposed indirect parsimonious solution scheme is compared with those of a fully parametrized PMP-based method and a direct simultaneous method. It is observed that the combination of the indirect approach with parsimonious input parametrization can lead to significant reduction in computational time.

中文翻译:

迈向快速动态优化:使用简约输入参数化的间接算法

动态优化在改善化学系统(例如分批和半分批工艺)的操作方面起着重要作用。解决约束非线性动态优化问题的首选策略是使用所谓的直接方法。但是,基于手头的问题和所使用的解决方案算法,直接方法可能会导致大量的计算时间。基于Pontryagin最小原理(PMP)的间接方法代表了批处理和半批处理过程优化的有效替代方法。本文详细介绍了间接解决方案与简约输入参数化的结合。其思想是以简约的方式对寻求灵敏度的输入进行参数设置,以减少受约束的非线性动态优化问题的计算量。此外,本文讨论了直接方法和间接方法之间的结构差异。所提出的方法在具有末端纯度限制的间歇式二元蒸馏塔和具有复杂路径限制的两相半间歇式加氢甲酰化反应器上进行了测试。将所提出的间接简约解决方案的性能与完全参数化的基于PMP的方法和直接同时方法的性能进行了比较。可以看出,间接方法与简约输入参数化的结合可以显着减少计算时间。所提出的方法在具有末端纯度限制的间歇式二元蒸馏塔和具有复杂路径限制的两相半间歇式加氢甲酰化反应器上进行了测试。将所提出的间接简约解决方案的性能与完全参数化的基于PMP的方法和直接同时方法的性能进行了比较。可以看出,间接方法与简约输入参数化的结合可以显着减少计算时间。所提出的方法在具有末端纯度限制的间歇式二元蒸馏塔和具有复杂路径限制的两相半间歇式加氢甲酰化反应器上进行了测试。将所提出的间接简约解决方案的性能与完全参数化的基于PMP的方法和直接同时方法的性能进行了比较。可以看出,间接方法与简约输入参数化的结合可以显着减少计算时间。
更新日期:2018-07-12
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