Reactive distillation models are non-convex NLP's, leading to multiple locally optimal solutions. We have previously shown that for reactive distillation column sections governed by saddle pinches there is a known limit for the extent of reaction on each stage that will shift the column profile towards potentially superior solutions [3]. It is from this knowledge that we can construct explicit constraints for each stage on the extent of reaction. These constraints are able to cut our decision space and can potentially remove inferior locally-optimal solutions. We will demonstrate the use of this method in the production of TAME and the production of acetic acid from acetic anhydride and water.
[1] Hauan,S. and Ciric, A.R. and Westerberg, A.W. and Lien, K.M. "Difference points in extractive and reactive cascades. I - Basic properties and analysis." Chem.Eng.Sci. 59(17): 3671-3693, 1999.
[2] Hoffmaster, W.R. and Hauan, S. "Difference points in extractive and reactive cascades. III - Properties of column section profiles with arbitrary reaction distribution." Chem.Eng.Sci. 55(16): 3145-1075, 2004.
[3] Turnberg, S.L. and Hoffmaster, W.R. and Hauan, S. "Design of a TAME reactive distillation process using feasible regions." Presented at the AIChE annual meeting, paper 472b, November 2005.