«Automation and Informatization of the fuel and energy complex»

An analysis of continuous processes using the relative gain array

UDC: 681.518
DOI: 10.33285/2782-604X-2023-12(605)-24-33

Authors:

¹ National University of Oil and Gas "Gubkin University", Moscow, Russia

Keywords: oil treatment unit, the first separation stage, multivariable process, control engineering, relative gain array, control degrees of freedom

Annotation:

The modern oil and gas industry consists of continuous technological processes. Such processes are multivariable objects with interactions between process variables. To effectively operate multivariable processes, appropriate control systems are required. It is possible to ensure the specified quality of operation of such systems by timely design of their structure. Modern literature on the synthesis of control systems offers a wide range of different methods for analyzing multivariable technological processes to obtain the characteristics of the control object. These methods can be based both on empirical observations and on the basis of mathematical apparatus of complexity various levels. To study a continuous oil and gas process, the authors of the article used a mathematical method based on the calculation of the relative gain array. The array allows determining the degree of interaction between multivariable process variables. At the first stage, a multivariable object was analyzed. The results of relative gain array calculation at various operating points were analyzed as well. Based on the results obtained, the possibility of extrapolating the structure of the automatic control system to alternative operating points was evaluated. At the second stage, using the relative gain array, the influence of the number of freedom control degrees on the deviation of the relative gain and the possibility of ranking various control system structures according to this parameter were studied. As an example, a typical continuous oil and gas preparation process is considered – the first separation stage, consisting of two separators and five valves.

Bibliography:

1. Barashkin R.L., Popadko V.E. Control System Structure Design of a Gas Pre-Separation Unit // 2022 XXV Int. Conf. on Soft Computing and Measurements (SCM), Saint Petersburg, Russian Federation, May 25–27, 2022. – IEEE, 2022. – P. 38–41. – DOI: 10.1109/SCM55405.2022.9794868
2. Konda N.M., Rangaiah G.P., Krishnaswamy P.R. A simple and effective procedure for control degrees of freedom // Chemical Engineering Science. – 2006. – Vol. 61, Issue 4. – P. 1184–1194. – DOI: 10.1016/J.CES.2005.08.026
3. Larsson T., Skogestad S. Plantwide control – A review and a new design procedure // Modeling, Identification and Control. – 2000. – Vol. 21, No. 4. – P. 209–240. – DOI: 10.4173/MIC.2000.4.2
4. Process Dynamics and Control / D.E. Seborg, T.F. Edgar, D.A. Mellichamp, F.J. Doyle III. – New York: John Wiley & Sons, 2016. – 512 p.
5. Hurwitz A. Ueber die Bedingungen, unter welchen eine Gleichung nur Wurzeln mit negativen reellen Theilen besitzt // Mathematische Annalen. – 1895. – Vol. 46, Issue 2. – P. 273–284. – DOI: 10.1007/BF01446812
6. Nyquist H. Regeneration theory // Bell System Technical J. – 1932. – Vol. 11, Issue 1. – P. 126–147. – DOI: 10.1002/j.1538-7305.1932.tb02344.x
7. Lyapunov A.M. Obshchaya zadacha ob ustoychivosti dvizheniya. – Khar'kov: Tipografiya Zil'berberga, 1892. – XI, 251 s.
8. Skogestad S. Simple analytic rules for model reduction and PID controller tuning // J. of Process Control. – 2003. – Vol. 13, Issue 4. – P. 291–309. – DOI: 10.1016/S0959-1524(02)00062-8
9. Palazoglu A., Arkun Y. A multiobjective approach to design chemical plants with robust dynamic operability characteristics // Computers & Chemical Engineering. – 1986. – Vol. 10, Issue 6. – P. 567–575. – DOI: 10.1016/0098-1354(86)85036-0
10. Bristol E. On a new measure of interaction for multivariable process control // IEEE Transactions on Automatic Control. – 1966. – Vol. 11, Issue 1. – P. 133–134. – DOI: 10.1109/TAC.1966.1098266
11. Ricardez-Sandoval L.A., Budman H.M., Douglas P.L. Integration of design and control for chemical processes: A review of the literature and some recent results // Annual Reviews in Control. – 2009. – Vol. 33, Issue 2. – P. 158–171. – DOI: 10.1016/j.arcontrol.2009.06.001
12. Gong Jianping. New Feasibility Study of Bristol's Relative Gain Array in Interaction Analysis of Multivariable Process Control Systems // IFAC Proceedings Volumes. – 1984. – Vol. 17, Issue 2. – P. 1831–1836. – DOI: 10.1016/S1474-6670(17)61241-2
13. Witcher M.F. Interacting control systems: steady state and dynamic measurement of interaction // ISA Transactions. – 1977. – Vol. 16. – P. 35–41.
14. Tung L.S., Edgar T.F. Analysis of control‐output interactions in dynamic systems // AIChE J. – 1981. – Vol. 27, Issue 4. – P. 690–693. – DOI: 10.1002/AIC.690270423
15. RNGA based control system configuration for multivariable processes / Mao-Jun He, Wen-Jian Cai, Wei Ni, Li-Hua Xie // J. of Process Control. – 2009. – Vol. 19, Issue 6. – P. 1036–1042. – DOI: 10.1016/J.JPROCONT.2009.01.004
16. Qiang Xiong, Wen-Jian Cai, Mao-Jun He. A practical loop pairing criterion for multivariable processes // J. of Process Control. – 2005. – Vol. 15, Issue 7. – P. 741–747. – DOI: 10.1016/J.JPROCONT.2005.03.008
17. A Decentralized Control Structure for a CO2 Compression, Capture and Purification Process: An Uncertain Relative Gain Array Approach / A. Chansomwong, K.E. Zanganeh, A. Shafeen [et al.] // IFAC Proceedings Volumes. – 2011. – Vol. 44, Issue 1. – P. 8558–8563. – DOI: 10.3182/20110828-6-IT-1002.00663
18. Controllability and Resiliency Analysis in Heat Exchanger Networks / C.B. Miranda, C.B.B. Costa, C.M.G. Andrade, M.A.S.S. Ravagnani // Chemical Engineering Transactions. – 2017. – Vol. 61. – P. 1609–1614. – DOI: 10.3303/CET1761266
19. Tsekhmestruk I.B., Barashkin R.L., Popadko V.E. Relative Gain Array Application for Typical Chemical Process // 2022 IEEE Int. Multi-Conf. on Engineering, Computer and Information Sciences (SIBIRCON), Yekaterinburg, Russian Federation, Nov. 11–13. – 2022. – P. 1770–1773. – DOI: 10.1109/SIBIRCON56155.2022.10017013
20. Tsekhmestruk I.B., Barashkin R.L., Popadko V.E. An Application of a Relative Gain Array and Singular Value Decomposition for the Synthesis of Control Systems for Multivariable Processes // 2023 XXVI Int. Conf. on Soft Computing and Measurements (SCM), Saint Petersburg, Russian Federation, May 24–26. – 2023. – P. 49–52. – DOI: 10.1109/SCM58628.2023.10159045