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.