System Identification of 4*4 Multivariable Distillation Column

Authors

  • Layth S. Mahmood Midland Refineries Company, Ministry of Oil, Baghdad, Iraq.
  • Khalid M. Mousa Al-zobai Department of Chemical Engineering, College of Engineering, Al Nahrain University, Baghdad, Iraq.

DOI:

https://doi.org/10.29194/NJES.29030501

Keywords:

MIMO Systems, Modeling of Distillation Column, System Identification

Abstract

Distillation columns are among the most critical units in chemical processes, especially in oil refineries. This research aims to develop a mathematical model for a nonlinear multicomponent naphtha distillation column using real experimental data. The naphtha distillation column used in this research consists of a column with a diameter of 2.2 m and a height of 16.6 m, containing 20 trays of type (valve tray). The process currently operates in Al-Dora Refinery as part of the Midland Refinery Company in eastern Baghdad, Iraq.  Four manipulated variables (reflux flow rate, reboiler heat duty, light compound fraction in the feed, and feed flow rate) were tested for their impact on four control variables (light compound fraction in the top product, light compound fraction in the bottom product, amount of top product, and amount of bottom product). A 4x4 transfer function is produced by representing the obtained dynamic models for the variables under study using various second-order models (having different damping factors) with dead time.

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References

A. A. De Morais Júnior, J. C. Finiz Filho, L. O. A. Rojas, and R. P. Brito, "Inferential control strategies using neural soft sensor in a high purity distillation column," Caderno Pedagógico, vol. 21, no. 5, pp. e4402-e4402, 2024. https://doi.org/10.54033/cadpedv21n5-160 DOI: https://doi.org/10.54033/cadpedv21n5-160

V. K. P. Domingos, N. Manuel, C. M. M. Faria, F. R. Cangue, and A. A. C. Barros, "Numerical simulation of oil refining tower," Studies in Engineering and Exact Sciences, vol. 5, no. 2, pp. e6113-e6113, 2024.https://doi.org/10.54021/seesv5n2-052 DOI: https://doi.org/10.54021/seesv5n2-052

A. Wahid, A. Ahmad, and V. Cynthia, "Distillation column control using multiple model predictive control based on representative model predictive control method," in Proc. Quality in Research Conf., Togyakarta, Indonesia, 2013, pp. 25-28.

W. Khaisongkram and D. Banjerdpongchai, "Linear controller design and performance limits of binary distillation column subject to disturbances with bounds on magnitudes and rates of change," 2006. https://doi.org/10.1016/j.jprocont.2006.02.005 DOI: https://doi.org/10.1016/j.jprocont.2006.02.005

W. L. Nelson, Petroleum refinery engineering. McGraw-Hill, 2018.

R. Rengaswamy, B. Srinivasan, and N. P. Bhatt, Process Control Fundamentals, vol. 11, no. 1. 2020. https://doi.org/10.1201/9780367433437-1 DOI: https://doi.org/10.1201/9780367433437-1

D. D. Gonçalves, F. G. Martins, and S. F. De Azevedo, "Dynamic simulation and control: application to atmospheric distillation unit of crude oil refinery," Comput. Aided Chem. Eng., vol. 28, 2010.

B. Mahmoudzadeh and M. Masoumi, "Dynamic simulation and control of a distillation column using effective relative gain array," World Acad. Sci., Eng. Technol., vol. 76, Apr. 2011.

C. Pǎtruţ, C. S. Bîldea, I. Liţǎ, and A. A. Kiss, "Cyclic distillation - Design, control and applications," Separation and Purification Technology, vol. 125, pp. 326-336, 2014, https://doi.org/10.1016/j.seppur.2014.02.006 DOI: https://doi.org/10.1016/j.seppur.2014.02.006

V. D. Hajare and B. M. Patre, "Decentralized PID controller for TITO systems using characteristic ratio assignment with an experimental application," ISA Transactions, vol. 59, pp. 385-397, 2015, https://doi.org/10.1016/j.isatra.2015.10.008 DOI: https://doi.org/10.1016/j.isatra.2015.10.008

W. Peter et al, Chemical process dynamics and controls, vol. 27, no. 2. 2024. Available: https://eng.libretexts.org/Bookshelves/Industrial_and_Systems_Engineering/Chemical_Process_Dynamics_and_Controls_(Woolf)

A. Al-Jlibawi, M. L. Bin Othman, M. S. Al-Huseiny, I. Bin Aris, and S. Bahari, "The efficiency of soft sensors modelling in advanced control systems in oil refinery through the application of hybrid intelligent data mining techniques," Journal of Physics: Conference Series, vol. 1529, no. 5, pp. 0-12, 2020, https://doi.org/10.1088/1742-6596/1529/5/052049 DOI: https://doi.org/10.1088/1742-6596/1529/5/052049

A. Wahid and Z. H. Brillianto, "Multivariable model predictive control (4x4) of methanol-water separation in dimethyl ether production," AIP Conference Proceedings, vol. 2255, no. September, 2020, https://doi.org/10.1063/5.0013764 DOI: https://doi.org/10.1063/5.0013764

E. R. Baliyan and A. T. A. A. Al Zubidai, "A study on mathematical modeling of distillation column in a petroleum process," Int. J. Adv. Res. Ideas Innov. Eng. (IJARIIE), vol. 6, 2020.

A. Panadourakis, M. F. Doherty, and J. M. Douglas, "Approximate Dynamic Models for Chemical Process Systems," Ind. Eng. Chem. Res. 1 May 1989; 28 (5): 546–552. https://doi.org/10.1021/ie00089a008 DOI: https://doi.org/10.1021/ie00089a008

L. Tugashova, R. Bazhenov, U. Abdyldaeva, I. Korosteleva, and E. Muromtseva, "A simulation modeling approach used in the crude oil refining process," in Journal of Physics: Conference Series, IOP Publishing, 2022, p. 62003. https://doi.org/10.1088/1742-6596/2373/6/062003 DOI: https://doi.org/10.1088/1742-6596/2373/6/062003

H. S. Truong, I. Ismail and R. Razali, "Fundamental modeling and simulation of a binary continuous distillation column," 2010 International Conference on Intelligent and Advanced Systems, Kuala Lumpur, Malaysia, 2010, pp. 1-5. https://doi.org/10.1109/ICIAS.2010.5716218 DOI: https://doi.org/10.1109/ICIAS.2010.5716218

Z. Abdullah, N. Aziz, and Z. Ahmad,"Nonlinear modelling application in distillation column," Chemical Product and Process Modeling, vol. 2, no. 3, 2007. https://doi.org/10.2202/1934-2659.1082 DOI: https://doi.org/10.2202/1934-2659.1082

S. Skogestad, "Modelling and dynamic simulation for process control: issues in dynamic modelling using distillation as an example," Lecture Notes, Seminar on Modelling and Optimization of Chemical Processes, Norwegian Inst. Technol. (NTH), Trondheim, Norway, Aug. 1991, revised Jul. 2001.

S. Skogestad, "Dynamics and Control of Distillation Columns - A Critical Survey. Modelling, Identification and Control,18(3), 177-217.," 1997. https://doi.org/10.4173/mic.1997.3.1 DOI: https://doi.org/10.4173/mic.1997.3.1

B. Wittgens and S. Skogestad, "Evaluation of dynamic models of distillation columns with emphasis on the initial response," 2000. https://doi.org/10.4173/mic.2000.2.2 DOI: https://doi.org/10.4173/mic.2000.2.2

A. Maro, Naufal Wahid and Syafiq, "Multi Input Multi Output (MIMO) Control 2x2 at Vacuum Distillation Unit for LVGO, MVGO, and HVGO Production," E3S Web of Conferences, vol. 67, pp. 1-5, 2018, https://doi.org/10.1051/e3sconf/20186703012 DOI: https://doi.org/10.1051/e3sconf/20186703012

A. Wahid and R. Adi, "Modeling and Control of Multivariable Distillation Column Using Model Predictive Control Using Unisim," Sinergi, vol. 20, no. 1, p. 14, 2016, https://doi.org/10.22441/sinergi.2016.1.003 DOI: https://doi.org/10.22441/sinergi.2016.1.003

J. Drgoňa, M. Klaučo, R. Valo, J. Bendžala, and M. Fikar, "Model identification and predictive control of a laboratory binary distillation column," Proceedings of the 2015 20th International Conference on Process Control, PC 2015, vol. 2015-July, pp. 357-362, 2015, https://doi.org/10.1109/PC.2015.7169989 DOI: https://doi.org/10.1109/PC.2015.7169989

G. H. Miller, "Distillation Theory," Whisky Science, pp. 295-376, 2024, https://doi.org/10.1007/978-3-031-50687-1_7 DOI: https://doi.org/10.1007/978-3-031-50687-1_7

L. Chen, J. Li, and R. Ding, "Identification for the second-order systems based on the step response," Mathematical and Computer Modelling, vol. 53, no. 5–6, 2011. https://doi.org/10.1016/j.mcm.2010.11.070 DOI: https://doi.org/10.1016/j.mcm.2010.11.070

O. P. E. Granado, E. Mata, S. Revollar, and W. Colmenares, "System identification for second order process improvement," Revista Ingeniería UC. vol. 11, no 1, 41-47, 2004.

Q. G. Wang, X. Guo, and Y. Zhang, "Direct identification of continuous time delay systems from step responses," Journal of Process Control, vol. 11, no. 5, 2001. https://doi.org/10.1016/S0959-1524(00)00031-7 DOI: https://doi.org/10.1016/S0959-1524(00)00031-7

C. Fuentes and W. L. Luyben, "Control of High-Purity Distillation Columns," Industrial & Engineering Chemistry Process Design and Development 1 July 1983; vol. 22, no. 3, pp. 361–366. https://doi.org/10.1021/i200022a004 DOI: https://doi.org/10.1021/i200022a004

P. A. Martin, D. Odloak, and F. Kassab, "Robust model predictive control of a pilot plant distillation column," Control Engineering Practice, vol. 21, no. 3, pp. 231-241, 2013, https://doi.org/10.1016/j.conengprac.2012.10.004 DOI: https://doi.org/10.1016/j.conengprac.2012.10.004

S. Skogestad and M. Morari, "The dominant time constant for distillation columns," Computers & Chemical Eng., vol. 11, no. 6, 1987. https://doi.org/10.1016/0098-1354(87)87006-0 DOI: https://doi.org/10.1016/0098-1354(87)87006-0

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Published

20-09-2026

How to Cite

[1]
L. S. Mahmood and K. Alzobai, “System Identification of 4*4 Multivariable Distillation Column”, NJES, vol. 29, no. 3, pp. 501–507, Sep. 2026, doi: 10.29194/NJES.29030501.

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