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Optimization Approaches to Control-Integrated Design of Industrial Batch Reactors

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Nonlinear Model Based Process Control

Part of the book series: NATO ASI Series ((NSSE,volume 353))

Abstract

In this paper optimization based approaches to the design of batch reactors are presented. In addition to operational constraints on manipulated and quality related variables, safety requirements are explicitly incorporated into the design even in the case of possible failure scenarios. Furthermore, since many industrial design problems often have to cope with existing plants and low on-line computational resources, controller limitations should be considered already at the design stage. These aspects render the suggested design problem formulation a nonlinear mixed-integer stochastic optimal control problem for a hybrid discrete-continuous system. In order to make this problem computationally tractable several simplifications are discussed. A decomposition is proposed where inherently safe operation profiles for a number of given possible failure scenarios are calculated in an inner problem whereas all control related questions for the nominal mode of operation are dealt with in an outer problem. The ideas and concepts for control-integrated batch reactor design are illustrated by means of an industrial polymerization reactor.

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References

  1. F. Allgöwer. Definition and computation of a nonlinearity measure. In A.J. Krener and D.Q. Mayne, editors, Proc. of Nonlinear Control System Design Symposium NOLCOS95, pages 257–262, Oxford, UK, 1996. Pergamon.

    Google Scholar 

  2. F. Allgöwer. Näherungsweise Ein-Ausgangs-Linearisierung nichtlinearer Systeme. Reihe 8: Meß-, Steuerungs-und Regelungstechnik Nr. 582. VDI-Verlag, 1996.

    Google Scholar 

  3. M.A. Alós, F. Strozzi, and J.M. Zaldivar. A new method for assessing the thermal stability of semibatch processes based on Lyapunov exponents. Chem. Eng. Sci., 51(11):3089–3094, 1996.

    Article  Google Scholar 

  4. J.-P. Aubin. Viability Theory. Systems & Control: Foundations & Applications. Birkhäuser, Boston, 1991.

    Google Scholar 

  5. P.I. Barton and T. Park. Analysis and control of combined discrete/continuous systems: progress and challenges in the chemical processing industries. In J.C. Kantor, C.E. Garcia, and B. Carnahan, editors, Proc. of Fifth International Conference on Chemical Process Control, volume 93 of AIChE Symposium Series No. 316, pages 102–114. AIChE and CACHE, 1997.

    Google Scholar 

  6. A. Benuzzi and J.M. Zaldivar. Safety of Chemical Batch Reactors and Storage Tanks. Kluwer Academic Publishers, Dordrecht, The Netherlands, 1991.

    Google Scholar 

  7. B.W. Bequette. Operability analysis of an exothermic semi-batch reactor. Comput. Chem. Eng., 20(Suppl.):S.1583–1588, 1996.

    Article  Google Scholar 

  8. B.W. Bequette. Operability of batch reactors: Temperature profile feasibility. In J.C. Kantor, C.E. Garcia, and B. Carnahan, editors, Proc. of Fifth International Conference on Chemical Process Control, volume 93 of AIChE Symposium Series No. 316, pages 315–318, Tahoe City, USA, 1997. AIChE and CACHE.

    Google Scholar 

  9. R. Berber. Control of batch reactors: A review. In R. Berber, editor, Methods of Model-Based Control, NATO-ASI Series, pages 459–494. Kluwer Press, Dordrecht, The Netherlands, 1995.

    Chapter  Google Scholar 

  10. T. Bhatia and L.T. Biegler. Dynamic optimization in the design and scheduling of multiproduct batch plants. Ind. Eng. Chem. Res., 35(7):2234–2246, 1996.

    Article  CAS  Google Scholar 

  11. T. Binder, L. Blank, W. Dahmen, and W. Marquardt. Towards multiscale dynamic data reconciliation. NATO ASI on Nonlinear Model Based Process Control. This volume.

    Google Scholar 

  12. D.B. Birewar and I.E. Grossmann. Incorporating scheduling in the optimal design of muli-product batch plants. Comput. Chem. Eng., 13:141, 1989.

    Article  CAS  Google Scholar 

  13. R. Bogusch, B. Lohmann, and W. Marquardt. Computer-aided process modeling with MODKIT. In Proceedings of Chemputers Europe III, Frankfurt, Germany, 29–30 October 1996.

    Google Scholar 

  14. D. Bonvin. Optimal operation of discontinuous reactors — A personal view. In Preprints of the IFAC Symposium ADCHEM’97, pages 155–169, Banff, Canada, 9–11 June 1997.

    Google Scholar 

  15. Y. Cao, D. Biss, and J.D. Perkins. Assessment of input-output controllability in the presence of control constraints. Comput. Chem. Eng., 20(4):337–346, 1996.

    Article  CAS  Google Scholar 

  16. M. Caracotsios and W.E. Stewart. Sensitivity analysis of initial value problems with mixed ODEs and algebraic equations. Comput. Chem. Eng., 9(4):359–365, 1985.

    Article  CAS  Google Scholar 

  17. J.E. Cuthrell and L.T. Biegler. On the optimization of differential-algebraic process systems. AIChE J., 33(8):1257–1270, 1987.

    Article  CAS  Google Scholar 

  18. V.D. Dimitriadis and E.N. Pistikopoulos. Flexibility analysis of dynamic systems. Ind. Eng. Chem. Res., 34:4451–4462, 1995.

    Article  CAS  Google Scholar 

  19. V.D. Dimitriadis, N. Shah, and C.C. Pantelides. Modelling, safety verification and design of discrete/continuous processing systems. Paper accepted for publication in AIChE J., 1996.

    Google Scholar 

  20. P. Djavdan. Temperature control of a batch esterification reactor overcoming nonlin-earities using adaptive gain. In J.B. Rawlings, editor, Proc. of the IFAC Symposium DYCORD +’ 95, pages 421–426, Helsingør, Denmark, 7–9 June 1995.

    Google Scholar 

  21. G. Eigenberger and H. Schuler. Reaktorstabilität und sichere Reaktionsführung. Chem. Ing. Tech., 58(8):655–665, 1986.

    Article  CAS  Google Scholar 

  22. S. Engell, S. Kowalewski, and B.H. Krogh. Discrete events and hybrid systems in process control. In J.C. Kantor, C.E. Garcia, and B. Carnahan, editors, Proc. of Fifth International Conference on Chemical Process Control, volume 93 of AIChE Symposium Series No. 316, pages 165–176. AIChE and CACHE, 1997.

    Google Scholar 

  23. B.A. Foss, B. Lohmann, and W. Marquardt. A field study of the industrial modeling process. In Preprints of the IFAC Symposium AD CHEM’97, pages 570–585, Banff, Canada, 9–11 June 1997. To be published in J. Proc. Cont., 1998.

    Google Scholar 

  24. M. Friedrich and R. Perne. Design and control of batch reactors — an industrial viewpoint. Comput. Chem. Eng., 19(Suppl.):S357–S368, 1995.

    Article  CAS  Google Scholar 

  25. P.E. Gill, W. Murray, M.A. Saunders, and M.H. Wright. User’s Guide for NPSOL, Version 4.0. Systems Optimization Laboratory, Stanford University, Stanford, USA, 1996.

    Google Scholar 

  26. I.E. Grossmann and D.A. Straub. Recent developments in the evaluation and optimization of flexible chemical processes. In L. Puigjaner and A. Espuna, editors, Proceedings Computer-Oriented Process Engineering, page 49. Elsevier, Amsterdam, 1991.

    Google Scholar 

  27. R. Gygax. Chemical reaction engineering for safety; Chem. Eng. Sci., 43(8):1759–1771, 1988.

    Article  CAS  Google Scholar 

  28. A. Helbig, O. Abel, A. M’hamdi, and W. Marquardt. Analysis and nonlinear model predictive control of the Chylla-Haase benchmark problem. In Proc. of CONTROLS, pages 1172–1177, Exeter, UK, 2–5 September 1996.

    Google Scholar 

  29. A. Helbig, W. Marquardt, and F. Allgöwer. Nonlinearity measures for batch reactors. Paper submitted to IFAC Symposium DYCOPS-5, 1997.

    Google Scholar 

  30. P. Hugo and J. Steinbach. A comparison of the limits of safe operation of a SBR and a CSTR. Chem. Eng. Sci., 41(4):1081–1087, 1986.

    Article  CAS  Google Scholar 

  31. P. Jarupintusophon, M.V. LeLann, M. Cabassud, and G. Casamatta. Realistic model-based predictive and adaptive control of batch reactor. Comput. Chem. Eng., 18(Suppl.):S445–S449, 1995.

    Google Scholar 

  32. M.R. Juba and J.W. Hamer. Progress and challenges in batch process control. In M. Morari and T.J. McAvoy, editors, Chemical Process Control — CPC III, CACHE, pages 139–183. Elsevier, 1986.

    Google Scholar 

  33. R. King. Modellgestützte Überwachung kritischer Reaktionssysteme. Reihe 8: Meß-, Steuerungs-und Regelungstechnik Nr. 185. VDI-Verlag, Düsseldorf, 1989.

    Google Scholar 

  34. G. Labinaz, M.M. Bayoumi, and K. Rudie. A viable cascade controller design for a batch polymerization process. In Preprints of the IFAC Symposium AD CHEM’91, pages 195–200, Banff, Canada, 9–11 June 1997.

    Google Scholar 

  35. D.R. Lewin. Modelling and control of an industrial PVC suspension polymerization reactor. Comput. Chem. Eng., 20(Suppl.):S865–S870, 1996.

    Article  CAS  Google Scholar 

  36. J.S. Logsdon and L.T. Biegler. Decomposition strategies for large-scale dynamic optimization problems. Chem. Eng. Sci., 47(4):851–864, 1992.

    Article  CAS  Google Scholar 

  37. Z. Louleh, M. Cabassud, M.V. LeLann, and G. Casamatta. Experimental study of a new thermal control strategy for batch reactors. In Preprints of the IFAC Symposium ADCHEM’97, pages 119–124, Banff, Canada, 9–11 June 1997.

    Google Scholar 

  38. Z. Louleh, M.V. LeLann, A. Chamayou, and G. Casamatta. A new heating-cooling system to improve controllability of batch reactors. Chem. Eng. Sci., 51(11):3163–3168, 1996.

    Article  CAS  Google Scholar 

  39. W. Marquardt. Towards a process modeling methodology. In R. Berber, editor, Methods of Model-Based Control, volume 293 of NATO-ASI Series, pages 3–40, Dordrecht, The Netherlands, 1995. Kluwer Press.

    Google Scholar 

  40. A. M’hamdi, A. Helbig, O. Abel, and W. Marquardt. Newton-type receding horizon control and state estimation — a case study. In J.J. Gertler, J.B. Cruz, and M. Peshkin, editors, Preprints of the 13th World Congresè of IFAC, volume M, pages 121–126, San Francisco, 30 June–5 July 1996.

    Google Scholar 

  41. M.J. Mohideen, J.D. Perkins, and E.N. Pistikopoulos. Optimal design of dynamic systems under uncertainty. AIChE J., 42(8):2251–2272, 1996.

    Article  CAS  Google Scholar 

  42. M. Morari. Design of resilient processing plants-III. A general framework for the assessment of dynamic resilience. Chem. Eng. Sci., 38(11):1881–1891, 1983.

    Article  Google Scholar 

  43. M. Morari and E. Zafiriou. Robust Process Control. Prentice-Hall, Englewood Cliffs, New Jersey, 1989.

    Google Scholar 

  44. Z. Nagy and Ş.. Agachi. Model predictive control of a PVC batch reactor. Comput. Chem. Eng., 21(6):571–591, 1997.

    Article  CAS  Google Scholar 

  45. H. Nijmeijer and A.J. van der Schaft. Nonlinear Dynamical Control Systems. Springer, New York, 3. edition, 1996.

    Google Scholar 

  46. S. Palanki, C. Kravaris, and H.Y. Wang. Optimal feedback control of batch reactors with a state inequality constraint and free terminal time. Chem. Eng. Sci., 49(1):86–97, 1994.

    Google Scholar 

  47. J.D. Perkins and S.P.K. Walsh. Optimization as a tool for design/control integration. Comput. Chem. Eng., 20(4):315–323, 1996.

    Article  CAS  Google Scholar 

  48. T. Peterson, E. Hernández, Y. Arkun, and F.J. Schork. A nonlinear DMC algorithm and its applications to a semibatch polymerization reactor. Chem. Eng. Sci., 47(4):737–753, 1992.

    Article  CAS  Google Scholar 

  49. A.K.M.S. Rahman and S. Palanki. On-line optimization of batch processes with nonlinear manipulated input. Comput. Chem. Eng., 20(5):449–459, 1996.

    Google Scholar 

  50. S. Rahman and S. Palanki. On-line optimization of batch processes in the presence of measurable disturbances. AIChE J., 42(10):2869–2882, 1996.

    Article  CAS  Google Scholar 

  51. G.V. Reklaitis (editor) and E. Zafiriou (guest editor). Selected Papers from the IFAC Workshop on Integration of Process Design & Control (IPDC’94). Comp. Chem. Eng., 20(4), 1996.

    Google Scholar 

  52. D.W.T. Rippin. Simulation of single-and multiproduct batch chemical plants for optimal design and operation. Comput. Chem. Eng., 7(3):137–156, 1983.

    Article  CAS  Google Scholar 

  53. O. Rosen and R. Luus. Evaluation of gradients for piecewise constant optimal control. Comput. Chem. Eng., 15(4):273–281, 1991.

    Article  CAS  Google Scholar 

  54. D. Ruppen. A Contribution to the Implementation of Adaptive Optimal Operation for Discontinuous Chemical Reactors. PhD thesis, ETH, No. 10634, Zürich, Switzerland, 1994.

    Google Scholar 

  55. H. Schuler. Frühzeitige Erkennung gefährlicher Reaktionszustände in chemischen Reaktoren. Regelungstechnik, 32(6):190–237, 1984.

    Google Scholar 

  56. S. Skogestad and I. Postlethwaite. Multivariable Feedback Control. John Wiley & Sons, Chicester, England, 1996.

    Google Scholar 

  57. E. Sørensen. Studies on Optimal Operation and Control of Batch Distillation Columns. PhD thesis, NTU, Trondheim, Norway, 1994.

    Google Scholar 

  58. E. Sørensen and S. Skogestad. Control strategies for reactive batch distillation. J. Proc. Cont., 4(4):205–217, 1994.

    Article  Google Scholar 

  59. M. Soroush and C. Kravaris. Optimal design and operation of batch reactors. 1. Theoretical framework. Ind. Eng. Chem. Res., 32:866–881, 1993.

    Article  CAS  Google Scholar 

  60. M. Soroush and C. Kravaris. Optimal design and operation of batch reactors. 2. A case study. Ind. Eng. Chem. Res., 32:882–893, 1993.

    Article  CAS  Google Scholar 

  61. A.J. Stack and F.J. Doyle III. Application of a control-law nonlinearity measure to the chemical reactor analysis. AIChE J., 43(2):425–439, 1997.

    Article  CAS  Google Scholar 

  62. A.J. Stack and F.J. Doyle III. The optimal control structure: an approach to measuring control-law nonlinearity. Comput. Chem. Eng., 21(9):1009–1019, 1997.

    Article  CAS  Google Scholar 

  63. J. Steinbach. Praxisorientierte Darstellung von Auslegungskriterien für Semibatch — Reaktoren. In Dechema — Monographien Band 107, pages 133–152. VCH Verlagsgesellschaft, 1987.

    Google Scholar 

  64. F. Stoessel. Design thermally safe semibatch reactors. Chem. Eng. Progr., pages 46–53, September 1995.

    Google Scholar 

  65. F. Strozzi and J.M. Zaldivar. A general method for assessing the thermal stability of batch chemical reactors by sensitivity calculation based on Lyapunov exponents. Chem. Eng. Sci., 49(16):2681–2688, 1994.

    Article  CAS  Google Scholar 

  66. P. Tanartkit and L.T. Biegler. Stable decomposition for dynamic optimization. Ind. Eng. Chem. Res., 34(4):1253–1266, 1995.

    Article  CAS  Google Scholar 

  67. P. Tanartkit and L.T. Biegler. A nested, simultanous approach for dynamic optimization problems — I. Comput. Chem. Eng., 20(6/7):735–741, 1996.

    Article  CAS  Google Scholar 

  68. P. Terwiesch. Dynamic Optimization of Batch Process Operations with Imperfect Modeling. PhD thesis, ETH, No. 10857, Zürich, Switzerland, 1994.

    Google Scholar 

  69. P. Terwiesch. Cautious on-line correction of batch process operation. AIChE J., 41(5):1337–1340, 1995.

    Article  CAS  Google Scholar 

  70. P. Terwiesch and M. Agarwal. Robust input policies for batch reactors under parametric uncertainty. Comput. Chem. Eng., 131:33–52, 1995.

    Article  CAS  Google Scholar 

  71. P. Terwiesch, M. Agarwal, and D.W.T. Rippin. Batch unit optimization with imperfect modelling: A survey. J. Proc. Cont., 4(4):238–258, 1994.

    Article  CAS  Google Scholar 

  72. P. Terwiesch, D. Ravemark, and D.W.T. Rippin. Risk-cautious operation of batch processes. In J.B. Rawlings, editor, Proc. of the IFAC Symposium DYCORD+’95, pages 409–414, Helsingør, Denmark, 7–9 June 1995.

    Google Scholar 

  73. C. Toulouse, J. Cezerac, M. Cabassud, M.-V. LeLann, and G. Casamatta. Optimisation and scale-up of batch chemical reactors: Impact of safety constraints. Chem. Eng. Sci., 51(10):2243–2252, 1996.

    Article  CAS  Google Scholar 

  74. V.S. Vassiliadis, R.W.H. Sargent, and C.C. Pantelides. Solution of a class of multistage dynamic optimization problems. 1. Problems without path constraints. Ind. Eng. Chem. Res., 33(9):2111–2122, 1994.

    Article  CAS  Google Scholar 

  75. V.S. Vassiliadis, R.W.H. Sargent, and C.C. Pantelides. Solution of a class of multistage dynamic optimization problems. 2. Problems with path constraints. Ind. Eng. Chem. Res., 33(9):2123–2133, 1994.

    Article  CAS  Google Scholar 

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  1. Lehrstuhl für Prozeßtechnik, RWTH Aachen University of Technology, D-52056, Aachen, Germany

    O. Abel, A. Helbig & W. Marquardt

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  1. O. Abel
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  2. A. Helbig
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  3. W. Marquardt
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Correspondence to W. Marquardt .

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  1. Department of Chemical Engineering, Ankara University, Tandoğan, Ankara, Turkey

    Ridvan Berber

  2. Department of Chemical Engineering, The University of Michigan, Ann Arbor, Michigan, USA

    Costas Kravaris

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Abel, O., Helbig, A., Marquardt, W. (1998). Optimization Approaches to Control-Integrated Design of Industrial Batch Reactors. In: Berber, R., Kravaris, C. (eds) Nonlinear Model Based Process Control. NATO ASI Series, vol 353. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5094-1_18

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  • DOI: https://doi.org/10.1007/978-94-011-5094-1_18

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