Chemical Non-Isothermal Processes-Stability study and Optimal Control

2021 25th International Conference on System Theory, Control and Computing (ICSTCC) Pub Date : 2021-10-20 DOI:10.1109/ICSTCC52150.2021.9607060

Daniel Băncilă, D. Popescu, A. Chiriac, Ştefan Colbu, S. Olteanu, C. Petrescu

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Abstract

The non-isothermal processes are typical for many important chemical industrial installations. These processes are preserved at very high conversion rates, in a safe environment, in order to attain optimal productivity. The aim of our work addresses the stability of the stationary operating regime for this type of process, represented by the Continuous Stirred Tank Reactor CSTR, the heart of many chemical and petrochemical installation. Starting by developing the mathematical model, the geometrical conditions of stability for non-isothermal CSTR are evaluated. These conditions offer stable operating requirements for the CSTR, obtained for small variations around a stationary point. Further, for the linearized mathematical model, the stability of CSTR is confirmed using the Lyapunov stability analysis, and the stability region is estimated. In the end, an optimal control system is proposed and this solution is proven to ensure the wanted performances for the exothermal reactor. Also, the efficiency of the theoretical approach is confirmed by numerical study cases and simulations.

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化学非等温过程稳定性研究与最优控制

非等温过程是许多重要化工装置的典型过程。这些过程在一个安全的环境中以非常高的转化率保存，以达到最佳的生产力。我们工作的目的是解决这类过程的固定操作制度的稳定性，以连续搅拌槽式反应器(CSTR)为代表，它是许多化学和石化装置的核心。从建立数学模型入手，对非等温CSTR稳定的几何条件进行了评价。这些条件为CSTR提供了稳定的操作要求，可以在静止点附近的小变化中获得。对于线性化的数学模型，利用Lyapunov稳定性分析证实了CSTR的稳定性，并估计了其稳定区域。最后，提出了一种最优控制系统，并对该方案进行了验证，保证了放热反应器的预期性能。通过数值算例和仿真验证了理论方法的有效性。

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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2021 25th International Conference on System Theory, Control and Computing (ICSTCC)

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