A Singularity Theory Approach to the Study of Reactive Distillation

Gehrke, V.

doi:10.1016/s0098-1354(97)00180-4

Cited by 28 publications

(21 citation statements)

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“…We anticipate that this methodology will also be useful for computing equilibrium states and bifurcations of equilibria in a wide variety of other problems in engineering and science in which nonlinear dynamical behavior is of interest. For example, interval methodologies have been successfully applied to the problem of locating equilibrium states and singularities in some traditional chemical engineering problems such as reactor and reactive distillation systems [4], [14], [39], [43].…”

Section: Resultsmentioning

confidence: 99%

Reliable Modeling and Optimization for Chemical Engineering Applications: Interval Analysis Approach

2006

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In many applications of interest in chemical engineering it is necessary to deal with nonlinear models of complex physical phenomena, on scales ranging from the macroscopic to the molecular. Frequently these are problems that require solving a nonlinear equation system and/or finding the global optimum of a nonconvex function. Thus, the reliability with which these computations can be done is often an important issue. Interval analysis provides tools with which these reliability issues can be addressed, allowing such problems to be solved with complete certainty. This paper will focus on three types of applications: 1) parameter estimation in the modeling of phase equilibrium, including the implications of using locally vs. globally optimal parameters in subsequent computations; 2) nonlinear dynamics, in particular the location of equilibrium states and bifurcations of equilibria in ecosystem models used to assess the risk associated with the introduction of new chemicals into the environment; 3) molecular modeling, with focus on transition state analysis of the diffusion of a sorbate molecule in a zeolite.

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Section: Resultsmentioning

confidence: 99%

Reliable Modeling and Optimization for Chemical Engineering Applications: Interval Analysis Approach

2006

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“…Gwaltney et al [20] and Gwaltney and Stadtherr [19] have demonstrated the use of an intervalNewton method to find equilibrium states and their bifurcations for some simple food chain models. Interval methods have been also successfully applied to the problem of locating equilibrium states and singularities in traditional chemical engineering problems, such as reaction and reactive distillation systems [7,15,62,77]. We will consider here a seven-species food web, and use an interval-Newton approach, as outlined at the end of Section 2, to solve for all steady states predicted by the model.…”

Section: Food Web Modelsmentioning

confidence: 99%

Interval Methods for Non‐Linear Equation Solving Applications

Gwaltney

Lin

Simoni

et al. 2008

Handbook of Granular Computing

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“…Most of the papers are basically based on steady state conditions including process design and the analysis of multiple steady states (Pisarenko et al 1988;Ciric & Miao 1994;Sneesby et al 1997;Sneesby et al 1998;Gehrke & Marquardt 1997;Güttinger & Morari 1997) but a relatively small amount of research work has been reported on the control of RD columns. Most of the papers are basically based on steady state conditions including process design and the analysis of multiple steady states (Pisarenko et al 1988;Ciric & Miao 1994;Sneesby et al 1997;Sneesby et al 1998;Gehrke & Marquardt 1997;Güttinger & Morari 1997) but a relatively small amount of research work has been reported on the control of RD columns.…”

Section: Introductionmentioning

confidence: 99%

Control of Reactive Distillation Column: A Review

Sharma¹,

Singh²

2010

International Journal of Chemical Reactor Engineering

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The objective of this paper is to give a critical survey of the present status within the field of control of a reactive distillation column. Control of a reactive distillation column is a challenging task due to process nonlinearity and complex interactions between the vapor-liquid equilibrium and chemical reactions. There are different types of control methodologies, which have been studied in the reactive distillation, ranging from a simple proportional-integral (PI) controller to advanced model predictive controllers (MPC) such as dynamic matrix control (DMC), quadratic dynamic matrix control (QDMC), robust multivariable predictive control technology (RMPCT), generalized predictive control (GPC), and other advanced control techniques. With the goals of optimal performance, energy conservation and cost effectiveness of process operations in industries, the design of optimal controllers and controller performance assessment have received great attention in both industries and academia. The main objective of control is to maintain the product purity within the desired range.

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A Singularity Theory Approach to the Study of Reactive Distillation

Cited by 28 publications

References 0 publications

Reliable Modeling and Optimization for Chemical Engineering Applications: Interval Analysis Approach

Reliable Modeling and Optimization for Chemical Engineering Applications: Interval Analysis Approach

Interval Methods for Non‐Linear Equation Solving Applications

Control of Reactive Distillation Column: A Review

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