Accurate prediction of pressure drops around trays or packing sections is crucial for the optimal design of distillation columns. However, simultaneous optimization of all operating and structural parameters with the rigorous hydraulics consideration in MESH model is still difficult because of both the convergence for the stage number and integer optimization problem. In the present work, a rigorous equilibrium stage-based pseudotransient distillation model considering stage hydraulics is developed in the equation-oriented environment. By applying the steady-state optimization algorithm assisted by pseudotransient models [Ma, Y.; Luo, Y.; Ma, X.; Yang, T.; Chen, D.; Yuan, X. Fast Algorithms for Equation-Oriented Flowsheet Simulation and Optimization Using Pseudo-Transient Models. Ind. Eng. Chem. Res.2018, 57 (42), 14124–14142], and the bypass efficiency method [Dowling, A. W.; Biegler, L. T, Rigorous Optimization Based Synthesis of Distillation Cascades without Integer Variables. In Computer-Aided Chemical Engineering; Klemeš, J. J.; Varbanov, P. S.; Lieu, P. Y., Eds.; Elsevier: Amsterdam, Netherlands, 2014; Vol. 33, pp 55–60], the convergence problem and stage number optimization problem are effectively solved. In addition, an optimization framework for DWCs is proposed, which can consider simultaneously tray hydraulic conditions and find the optimal position of the dividing wall by systematically balancing the pressure drops of the column sections in the two sides of the wall.

中文翻译：

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考虑阶段水力的蒸馏塔方程优化

准确预测塔板或填料段周围的压降对于优化蒸馏塔至关重要。但是，由于阶段数的收敛性和整数优化问题，在MESH模型中要同时考虑所有运行和结构参数以及严格的水力问题仍然是困难的。在目前的工作中，在面向方程的环境中，开发了一个考虑阶段水力的基于平衡阶段的严格的准瞬态精馏模型。通过应用伪瞬态模型辅助的稳态优化算法[Ma，Y .; 罗Y。妈X. 杨涛；陈大 Yuan，X.使用伪瞬态模型的面向方程的流程仿真和优化的快速算法。工业工程师 化学 Res。2018年，57（42），14124-14142]和旁路效率方法[Dowling，AW; Biegler，L. T，基于严格优化的无级数精馏塔级联综合。在计算机辅助化学工程中；JleKlemeš；PS Varbanov，PS；Lieu，PY，编辑。爱思唯尔：荷兰阿姆斯特丹，2014年；卷 33，pp 55-60]，有效解决了收敛问题和阶段数优化问题。此外，提出了一种DWC的优化框架，该框架可以同时考虑塔板的液压条件，并通过系统地平衡壁两侧的压差来找到分隔壁的最佳位置。