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Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Stagetostage calculations of distillation columns by fixedpoint iteration and application of the Banach fixedpoint theorem
 Chemical Engineering Science 164 (2017), pp.188201 ISSN: 00092509 

 English 
 Journal Article 
 Fraunhofer ITWM () 
Abstract
This work presents a novel approach for stagetostage calculations of distillation columns based on the MESH equations. No simplifying assumptions such as constant molar overflow are used. The transition from one stage to the next is formulated as a fixedpoint problem, which can be solved by fixedpoint iteration. Applying the Banach fixedpoint theorem, bounds on the minimum energy requirement are derived. Within these bounds a solution to the fixedpoint problem is proven to exist and convergence of the fixedpoint iteration is guaranteed. Additionally, energy bounds are derived below which it can be guaranteed that no fixedpoint exists. The stagetostage calculations are combined with an outer optimization loop in order to conduct process simulation and optimization. The approach is illustrated by examples.