Optimization of VARICOL SMB processes using hybrid modeling and nonlinear programming

•The VARICOL process is represented by a hybrid model.•The discrete-time dynamics is described by a timed transition Petri net.•The hybrid representation considerably simplifies the optimization of the VARICOL productivity.•The optimum productivity can be as high as twice the productivity of a conve...

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Bibliographic Details
Published in:Computers & chemical engineering Vol. 71; pp. 1 - 10
Main Authors: Torres Zúñiga, Ixbalank, Vande Wouwer, Alain
Format: Journal Article
Language:English
Published: Kidlington Elsevier Ltd 04.12.2014
Elsevier
Subjects:
Applied sciences
Chemical engineering
Chromatography
Computer science; control theory; systems
Computer simulation
Control system analysis
Control theory. Systems
Exact sciences and technology
Inventory control, production control. Distribution
Liquid-liquid and fluid-solid mechanical separations
Mathematical models
Mathematical programming
Nonlinear dynamics
Nonlinear programming
Nonlinearity
Operational research and scientific management
Operational research. Management science
Optimization
Process control
Productivity
Programming
Separation
Simulated moving bed
Simulated moving bed
Separation
Process control
Chromatography
Optimization
Tree(graph)
Continuous time
Non linear programming
Modeling
Partial differential equation
Conservation law
Moving bed reactor
Hybrid model
Robustness
Petri net
Productivity
Moving bed
Process planning
Mixed integer programming
Time response
Timed system
Engineering design
Continuous process
Repeatability
Discrete time
Feasibility
Non linear effect
ISSN:0098-1354, 1873-4375
Online Access:Get full text
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Summary:•The VARICOL process is represented by a hybrid model.•The discrete-time dynamics is described by a timed transition Petri net.•The hybrid representation considerably simplifies the optimization of the VARICOL productivity.•The optimum productivity can be as high as twice the productivity of a conventional SMB process. The Varicol process exhibits continuous and discrete-time dynamics and can be represented by a hybrid model, where the continuous-time dynamics is described by mass-balance partial differential equations, whereas the discrete-time dynamics is described by a timed transition Petri net (TTPN). This hybrid model allows to simplify the solution of a normally difficult Mixed-Integer Non-Linear Programming problem for maximizing the productivity of a Varicol process subject to constraints on the desired purities of the extract and the raffinate components. Indeed, the coverability tree of the TTPN can be constructed to generate a set of candidate integer parameters, and the corresponding nonlinear problems are solved for a subset of candidates selected on the basis of an approximate evaluation using the (true moving bed) triangle theory. The optimal solution is the Varicol configuration (column sequence) for which the productivity is maximal. A repeatability and a robustness analysis show the feasibility of this approach.
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ISSN:0098-1354
1873-4375
DOI:10.1016/j.compchemeng.2014.07.009