Technical Brief

Recursive Identification of the Dynamic Behavior in a Distillation Column by Means of Autoregressive Models

[+] Author and Article Information
Lakhdar Aggoune

Laboratoire d'Automatique de Sétif,
Département d'Electrotechnique,
Université de Sétif 1,
Cité Maabouda, Route de Béjaia,
Sétif 19000, Algeria
e-mail: lakhdar.aggoune@yahoo.fr

Yahya Chetouani

Département Génie Chimique,
Université de Rouen,
Rue Lavoisier,
Mont Saint Aignan Cedex 76821, France
e-mail: yahya.chetouani@univ-rouen.fr

Hammoud Radjeai

Laboratoire d'Automatique de Sétif,
Département d'Electrotechnique,
Université de Sétif 1,
Cité Maabouda, Route de Béjaia,
Sétif 19000, Algeria
e-mail: hradjeai@yahoo.fr

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received August 9, 2013; final manuscript received February 5, 2014; published online April 28, 2014. Assoc. Editor: Ryozo Nagamune.

J. Dyn. Sys., Meas., Control 136(4), 044506 (Apr 28, 2014) (5 pages) Paper No: DS-13-1313; doi: 10.1115/1.4026837 History: Received August 09, 2013; Revised February 05, 2014

In this study, an Autoregressive with eXogenous input (ARX) model and an Autoregressive Moving Average with eXogenous input (ARMAX) model are developed to predict the overhead temperature of a distillation column. The model parameters are estimated using the recursive algorithms. In order to select an optimal model for the process, different performance measures, such as Aikeke's Information Criterion (AIC), Root Mean Square Error (RMSE), and Nash–Sutcliffe Efficiency (NSE), are calculated.

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Fig. 5

Comparison between measured and predicted overhead temperature using ARMAX model

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Fig. 6

The prediction error for the ARMAX model

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Fig. 1

Experimental device: Distillation column

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Fig. 2

Inputs and output of the column model

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Fig. 3

Estimation and validation data

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Fig. 4

Evolution of pressure drop (ΔP), reflux timer (Rt), heating power (Qf), and preheating power (Qb)

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Fig. 7

Correlation test results




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