### Abstract

Language | English |
---|---|

Pages | 86-98 |

Journal | Computers and Chemical Engineering |

Volume | 121 |

DOIs | |

State | Published - 2 Feb 2019 |

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### Keywords

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

### Cite this

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**Modeling of reactive batch distillation columns for control.** / Marquez Ruiz, A. (Corresponding author); Mendez Blanco, C.S.; Ozkan, L.

Research output: Contribution to journal › Article › Academic › peer-review

TY - JOUR

T1 - Modeling of reactive batch distillation columns for control

AU - Marquez Ruiz,A.

AU - Mendez Blanco,C.S.

AU - Ozkan,L.

PY - 2019/2/2

Y1 - 2019/2/2

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.

KW - extent transformation

KW - reactive batch distillation

KW - modeling for control

KW - linear parameter varying systems

U2 - 10.1016/j.compchemeng.2018.10.010

DO - 10.1016/j.compchemeng.2018.10.010

M3 - Article

VL - 121

SP - 86

EP - 98

JO - Computers and Chemical Engineering

T2 - Computers and Chemical Engineering

JF - Computers and Chemical Engineering

SN - 0098-1354

ER -