Modeling of reactive batch distillation columns for control

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)

Abstract

Reactive batch distillation (RBD) is a preferred process intensification technology to carry out equilibrium-limited reactions. It is a multicomponent, multiphase system. Appropriate process description requires dynamic modelling of coupled thermodynamics and transport phenomena including the chemical reactions. Such models are barely applicable for online model based operation technology such as model predictive control, real time optimization and online process monitoring. Therefore, in this paper, the rigorous dynamic model of an RBD is transformed into a set of decoupled ordinary differential equations using linear transformation matrices, called extent transformation, that preserve the physical meaning of the transformed variables. The resulting model has a state space representation with a diagonal state matrix. This representation is suitable for control purposes and can be considered as a linear parameter varying system. Based on the final structure of the model, controllability conditions are stated, and model reduction scenarios are proposed. Finally, the model based on extent transformations is compared with the rigorous nonlinear model via the simulation of a polyesterification process.
LanguageEnglish
Pages86-98
JournalComputers and Chemical Engineering
Volume121
DOIs
StatePublished - 2 Feb 2019

Fingerprint

Distillation columns
Distillation
Linear transformations
Process monitoring
Model predictive control
Controllability
Ordinary differential equations
Chemical reactions
Dynamic models
Thermodynamics

Keywords

  • extent transformation
  • reactive batch distillation
  • modeling for control
  • linear parameter varying systems

Cite this

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title = "Modeling of reactive batch distillation columns for control",
abstract = "Reactive batch distillation (RBD) is a preferred process intensification technology to carry out equilibrium-limited reactions. It is a multicomponent, multiphase system. Appropriate process description requires dynamic modelling of coupled thermodynamics and transport phenomena including the chemical reactions. Such models are barely applicable for online model based operation technology such as model predictive control, real time optimization and online process monitoring. Therefore, in this paper, the rigorous dynamic model of an RBD is transformed into a set of decoupled ordinary differential equations using linear transformation matrices, called extent transformation, that preserve the physical meaning of the transformed variables. The resulting model has a state space representation with a diagonal state matrix. This representation is suitable for control purposes and can be considered as a linear parameter varying system. Based on the final structure of the model, controllability conditions are stated, and model reduction scenarios are proposed. Finally, the model based on extent transformations is compared with the rigorous nonlinear model via the simulation of a polyesterification process.",
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Modeling of reactive batch distillation columns for control. / Marquez Ruiz, A. (Corresponding author); Mendez Blanco, C.S.; Ozkan, L.

In: Computers and Chemical Engineering, Vol. 121, 02.02.2019, p. 86-98.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Modeling of reactive batch distillation columns for control

AU - Marquez Ruiz,A.

AU - Mendez Blanco,C.S.

AU - Ozkan,L.

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N2 - Reactive batch distillation (RBD) is a preferred process intensification technology to carry out equilibrium-limited reactions. It is a multicomponent, multiphase system. Appropriate process description requires dynamic modelling of coupled thermodynamics and transport phenomena including the chemical reactions. Such models are barely applicable for online model based operation technology such as model predictive control, real time optimization and online process monitoring. Therefore, in this paper, the rigorous dynamic model of an RBD is transformed into a set of decoupled ordinary differential equations using linear transformation matrices, called extent transformation, that preserve the physical meaning of the transformed variables. The resulting model has a state space representation with a diagonal state matrix. This representation is suitable for control purposes and can be considered as a linear parameter varying system. Based on the final structure of the model, controllability conditions are stated, and model reduction scenarios are proposed. Finally, the model based on extent transformations is compared with the rigorous nonlinear model via the simulation of a polyesterification process.

AB - Reactive batch distillation (RBD) is a preferred process intensification technology to carry out equilibrium-limited reactions. It is a multicomponent, multiphase system. Appropriate process description requires dynamic modelling of coupled thermodynamics and transport phenomena including the chemical reactions. Such models are barely applicable for online model based operation technology such as model predictive control, real time optimization and online process monitoring. Therefore, in this paper, the rigorous dynamic model of an RBD is transformed into a set of decoupled ordinary differential equations using linear transformation matrices, called extent transformation, that preserve the physical meaning of the transformed variables. The resulting model has a state space representation with a diagonal state matrix. This representation is suitable for control purposes and can be considered as a linear parameter varying system. Based on the final structure of the model, controllability conditions are stated, and model reduction scenarios are proposed. Finally, the model based on extent transformations is compared with the rigorous nonlinear model via the simulation of a polyesterification process.

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KW - modeling for control

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