Numerical Formulations For Attainable Region Analysis

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dc.contributor.author Seodigeng, Tumisang Gerald
dc.date.accessioned 2006-11-14T08:44:13Z
dc.date.available 2006-11-14T08:44:13Z
dc.date.issued 2006-11-14T08:44:13Z
dc.identifier.uri http://hdl.handle.net/10539/1664
dc.description Student Number : 9611112G - PhD thesis - School of Chemical and Metallurgical Engineering - Faculty of Engineering and the Built Environment en
dc.description.abstract Attainable Region analysis is a chemical process synthesis technique that enables a design engineer to find process unit configurations that can be used to identify all possible outputs, by considering only the given feed specifications and permitted fundamental processes. The mathematical complexity of the attainable regions theory has so far been a major drawback in the implementation of this powerful technique into standard process design tools. In the past five years researchers focused on developing systematic methods to automate the procedure of identifying the set of all possible outputs termed the Attainable Regions. This work contributes to the development of systematic numerical formulations for attainable region analysis. By considering combinations of fundamental processes of chemical reaction, bulk mixing and heat transfer, two numerical formulations are proposed as systematic techniques for automation of identifying optimal process units networks using the attainable region analysis. The first formulation named the recursive convex control policy (RCC) algorithm uses the necessary requirement for convexity to approximate optimal combinations of fundamental processes that outline the shape of the boundary of the attainable regions. The recursive convex control policy forms the major content of this work and several case studies including those of industrial significance are used to demonstrate the efficiency of this technique. The ease of application and fast computational run-time are shown by assembling the RCC into a user interfaced computer application contained in a compact disk accompanying this thesis. The RCC algorithm enables identifying solutions for higher dimensional and complex industrial case studies that were previously perceived impractical to solve. The second numerical formulation uses singular optimal control techniques to identify optimal combinations of fundamental processes. This formulation also serves as a guarantee that the attainable region analysis conforms to Pontryagin’s maximum principle. This was shown by the solutions obtained using the RCC algorithm being consistent with those obtained by singular optimal control techniques. en
dc.format.extent 8082702 bytes
dc.format.mimetype application/pdf
dc.language.iso en en
dc.subject attainable region en
dc.subject numerical en
dc.subject process synthesis reactor en
dc.subject chemical engineering en
dc.title Numerical Formulations For Attainable Region Analysis en
dc.type Thesis en


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