Proceedings of ESCAPE 35ISSN: 2818-4734
Volume: 4 (2025)
Table of Contents
LAPSE:2025.0338
Published Article
LAPSE:2025.0338
Extremum seeking control applied to operation of dividing wall column – DWC
Ivar J. Halvorsen, Leontine I.M. Aarnoudse, Mark A.M. Haring, Sigurd Skogestad
June 27, 2025
Abstract
The dividing wall column (DWC) has significant energy saving potential compared to conventional column sequences. However, to reach these savings in practice, it is essential that the control structures can track the optimal operation point despite inevitable changes in feed properties, performance characteristics and other uncertainties. Otherwise, the energy consumption may rise significantly or, more commonly, the DWC becomes unable to produce pure products even at its maximum reboiler duty. Extremum seeking control (ESC) is a model-free optimisation technique that may mitigate off-optimal operation in this environment. By active perturbation of selected manipulative variables, the algorithm infers gradient properties of the measured cost function and, by that, enables tracking of a moving optimum. Extremum seeking control can be used also in combination with other approaches, e.g. self-optimising control. Applied to the DWC, the presented perturb-and-observe algorithm, which can be classified as ESC, appears to be able to track changes in the optimal values of the manipulated variables and setpoints.
Keywords
Distillation, Dividing Wall Column, Energy Efficiency, Machine Learning, Optimization, Perturb and Observe, Process Control
Suggested Citation
Halvorsen IJ, Aarnoudse LI, Haring MA, Skogestad S. Extremum seeking control applied to operation of dividing wall column – DWC. Systems and Control Transactions 4:1157-1162 (2025) https://doi.org/10.69997/sct.105824
Author Affiliations
Halvorsen IJ: SINTEF Digital, Department of Mathematics and Cybernetics, Trondheim, Norway; Norwegian University of Science and Technology, Department of Chemical Engineering, Trondheim, Norway
Aarnoudse LI: Norwegian University of Science and Technology, Department of Geoscience, Trondheim, Norway
Haring MA: SINTEF Digital, Department of Mathematics and Cybernetics, Trondheim, Norway
Skogestad S: Norwegian University of Science and Technology, Department of Chemical Engineering, Trondheim, Norway
Journal Name
Systems and Control Transactions
Volume
4
First Page
1157
Last Page
1162
Year
2025
Publication Date
2025-07-01
Version Comments
Original Submission
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PII: 1157-1162-1535-SCT-4-2025, Publication Type: Journal Article
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LAPSE:2025.0338
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References Cited
  1. Kaibel G (1987) Distillation columns with vertical partitions. Chem Eng Technol 10:92-98. https://doi.org/10.1002/ceat.270100112
  2. Dejanovic I, Matijaševic Lj, Olujic Ž (2010) Dividing wall column-A breakthrough towards sustainable distilling. Chem Eng Process Process Intensif 49:559-580. https://doi.org/10.1016/j.cep.2010.04.001
  3. Asprion N, Kaibel G (2010) Dividing wall columns: Fundamentals and recent advances. Chem Eng Process Process Intensif 49:139-146. https://doi.org/10.1016/j.cep.2010.01.013
  4. Gordon LM (1986) Simple optimization for dual composition control. Hydrocarb Process U S 65:6:
  5. Ränger L-M, Halvorsen IJ, Grützner T, Skogestad S (2025) What can go wrong in a dividing wall column and how to detect it. Sep Purif Technol 354:. https://doi.org/10.1016/j.seppur.2024.129151
  6. Halvorsen IJ, Skogestad S (2003) Minimum Energy Consumption in Multicomponent Distillation. 2. Three-Product Petlyuk Arrangements. Ind Eng Chem Res 42:605-615. https://doi.org/10.1021/ie0108649
  7. Halvorsen IJ, Skogestad S (1999) Optimal operation of Petlyuk distillation: Steady-state behavior. J Process Control 9:407-424. https://doi.org/10.1016/S0959-1524(99)00009-8
  8. Tan Y, Moase W, Manzie C, et al (2010) Extremum seeking from 1922 to 2010. Proc 29th Chin Control Conf
  9. Scheinker A (2024) 100 years of extremum seeking: A survey. Automatica 161:111481. https://doi.org/10.1016/j.automatica.2023.111481
  10. Femia N, Petrone G, Spagnuolo G, Vitelli M (2005) Optimization of perturb and observe maximum power point tracking method. IEEE Trans Power Electron 20:963-973. https://doi.org/10.1109/TPEL.2005.850975
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