Cyclic distillation is a novel process
intensification of distillation
with higher separation efficiency. However, its efficient simulation
and rigorous optimization have been challenging because a coupled
boundary value problem must be solved. This study proposes a novel
simulation and optimization approach for cyclic distillation based
on the pseudo-transient modeling-assisted discretization method. This
method involves discretizing the original dynamic model as an algebraic
equation system and then reformulating it as a pseudo-transient model
to address the convergence difficulty. Optimization of cyclic distillation
was achieved for the first time using a gradient-based optimization
method while considering tray hydraulics. The proposed method is shown
by illustrating examples more efficiently than conventional methods.
Optimization results indicate that the process cost is negatively
correlated with the vapor flow period duration, one of the decision
variables; however, the process cost could not further reduce at the
optimal point due to activation of the weeping constraint provided
by the hydraulic model.