Stability of a reactor with Niederlinski criterion using RGA matrices

IF 1.7 3区化学 Q3 CHEMISTRY, MULTIDISCIPLINARY

Journal of Mathematical Chemistry Pub Date : 2024-08-26 DOI:10.1007/s10910-024-01672-y

Macarena Boix, Begoña Cantó, Maria T. Gassó

引用次数: 0

Abstract

This paper considers a distillation column used in heavy crude oil separation where pairings exhibit negative Niederlinski Index values, potentially leading to system instability. In this study, we address this issue by constructing a Relative Gain Array matrix from a transfer matrix of order 3. We employ mathematical techniques to steer the system towards stability. Through subtle modifications to matrix entries, we achieve stable configurations.

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使用 RGA 矩阵的 Niederlinski 准则反应堆的稳定性

本文研究了重质原油分离中使用的蒸馏塔，在这种情况下，配对呈现负的尼德林斯基指数值，有可能导致系统不稳定。在本研究中，我们通过从 3 阶传递矩阵构建相对增益阵列矩阵来解决这一问题。我们采用数学技术引导系统走向稳定。通过对矩阵条目的细微修改，我们实现了稳定的配置。

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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来源期刊

Journal of Mathematical Chemistry 化学-化学综合

CiteScore

3.70

自引率

17.60%

发文量

105

审稿时长

6 months

期刊介绍： The Journal of Mathematical Chemistry (JOMC) publishes original, chemically important mathematical results which use non-routine mathematical methodologies often unfamiliar to the usual audience of mainstream experimental and theoretical chemistry journals. Furthermore JOMC publishes papers on novel applications of more familiar mathematical techniques and analyses of chemical problems which indicate the need for new mathematical approaches. Mathematical chemistry is a truly interdisciplinary subject, a field of rapidly growing importance. As chemistry becomes more and more amenable to mathematically rigorous study, it is likely that chemistry will also become an alert and demanding consumer of new mathematical results. The level of complexity of chemical problems is often very high, and modeling molecular behaviour and chemical reactions does require new mathematical approaches. Chemistry is witnessing an important shift in emphasis: simplistic models are no longer satisfactory, and more detailed mathematical understanding of complex chemical properties and phenomena are required. From theoretical chemistry and quantum chemistry to applied fields such as molecular modeling, drug design, molecular engineering, and the development of supramolecular structures, mathematical chemistry is an important discipline providing both explanations and predictions. JOMC has an important role in advancing chemistry to an era of detailed understanding of molecules and reactions.