Fuzzy identification of reactive distillation for acetic acid recovery from waste water

Abstract Acetic acid constitutes major component of waste water effluent in petrochemical and fine chemical industries but its recovery poses a serious environmental challenge in the industries. In this work, nonlinear model for multi-input multi-output reactive distillation process was developed for the treatment of waste water containing 30% g/g of acetic acid using fuzzy model technique based on autoregressive with exogenous inputs (ARX) models. It was aimed at obtaining a simplified model which should have essential dynamic behaviour of the process suitable for applications such as control design and dynamic optimization. Data sets used for the model development were obtained from simulated model built in CHEMCAD environment. Reflux flow rate and reboiler heat duty were used as input variables while ethyl acetate top product purity and acetic acid fractional conversion were used as output variables. Structured nonlinear parameter optimization method (SNPOM) was used for parameters estimation to effectively characterize the systems. The percentages of fitness for top product ethyl acetate purity and acetic acid fractional conversion were found to be 85.35% and 82.95%, respectively. The residual analysis carried out on the model showed that the proposed model was able to capture nonlinear dynamic behaviours of the process.

[1]  Kai Sundmacher,et al.  Selectivity Engineering with Reactive Distillation for Dimerization of C4 Olefins: Experimental and Theoretical Studies , 2007 .

[2]  Hsiao-Ping Huang,et al.  Design and control of reactive distillation for ethyl and isopropyl acetates production with azeotropic feeds , 2007 .

[3]  Milorad P. Dudukovic,et al.  A comparison of the equilibrium and nonequilibrium models for a multicomponent reactive distillation column , 1998 .

[4]  Yucai Zhu,et al.  Multivariable System Identification For Process Control , 2001 .

[5]  Stephen Yurkovich,et al.  Fuzzy Control , 1997 .

[6]  Yukihiro Toyoda,et al.  A parameter optimization method for radial basis function type models , 2003, IEEE Trans. Neural Networks.

[7]  Jun Wu,et al.  Nonlinear system modeling and predictive control using the RBF nets-based quasi-linear ARX model☆ , 2009 .

[8]  Hsiao-Ping Huang,et al.  Production of high-purity ethyl acetate using reactive distillation: Experimental and start-up procedure , 2008 .

[9]  Cheng-Ching Yu,et al.  Process alternatives for methyl acetate conversion using reactive distillation. 1. Hydrolysis , 2008 .

[10]  Stephen L. Chiu,et al.  Fuzzy Model Identification Based on Cluster Estimation , 1994, J. Intell. Fuzzy Syst..

[11]  Kaddour Najim,et al.  Advanced Process Identification and Control , 2001 .

[12]  B. Roffel,et al.  A new identification method for fuzzy linear models of nonlinear dynamic systems , 1996 .

[13]  K. Ramesh,et al.  Nonlinear Identification of Wavenet Based Hammerstein Model - Case Study on High Purity Distillation Column , 2007 .

[14]  Moses O. Tadé,et al.  A Multi-Objective Control Scheme for an ETBE Reactive Distillation Column , 2000 .

[15]  Dauda Olurotimi Araromi,et al.  Neural Network Control of CSTR for Reversible Reaction Using Reverence Model Approach , 2007 .

[16]  Muhammad A. Al-Arfaj,et al.  Plantwide control for TAME production using reactive distillation , 2004 .

[17]  Chi-Bin Cheng,et al.  Process Optimization by Soft Computing and Its Application to a Wire Bonding Problem , 2004 .

[18]  Heinz Unbehauen,et al.  Structure identification of nonlinear dynamic systems - A survey on input/output approaches , 1990, Autom..

[19]  Rajamani Krishna,et al.  Bifurcation analysis for TAME synthesis in a reactive distillation column: comparison of pseudo-homogeneous and heterogeneous reaction kinetics models , 2003 .

[20]  G. Castellano,et al.  An empirical risk functional to improve learning in a neuro-fuzzy classifier , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[21]  Cheng-Ching Yu,et al.  Design of reactive distillations for acetic acid esterification , 2005 .

[22]  B. V. Babu,et al.  Process Intensification for Separation of Carboxylic Acids from Fermentation Broths using Reactive Extraction , 2008 .

[23]  Johan Grievink,et al.  Feasibility of equilibrium-controlled reactive distillation process: application of residue curve mapping , 2004, Comput. Chem. Eng..

[24]  R. Pearson,et al.  Gray-box identification of block-oriented nonlinear models , 2000 .

[25]  Muhammad A. Al-Arfaj,et al.  Control of ethylene glycol reactive distillation column , 2002 .

[26]  D. Wong,et al.  Effect of interaction multiplicity on control system design for a MTBE reactive distillation column , 2003 .

[27]  Moses O. Tadé,et al.  Two-point control of a reactive distillation column for composition and conversion , 1999 .

[28]  Bernd Wittgens,et al.  EXPERIMENTAL VERIFICATION OF DYNAMIC OPERATION OF CONTINUOUS AND MULTIVESSEL BATCH DISTILLATION COLUMNS , 1999 .

[29]  T. K. Radhakrishnan,et al.  Design of Intelligent Controller for Non-Linear Processes , 2008 .

[30]  Olaf Wolkenhauer Data engineering - fuzzy mathematics in systems theory and data analysis , 2001 .

[31]  K. Ramesh,et al.  Development of Sigmoidnet Based NARX Model for a Distillation Column , 2008 .

[32]  Michael F. Doherty,et al.  Reactive distillation by design , 1992 .