A simulation study of nonideal mixing effect on the dynamic response of an exothermic CSTR with Cholette’s model
-
Chane-Yuan Yang
,
Yu-Shu Chien
and
Jun-Hong Chou
Abstract
The study of nonideal mixing effect on the dynamic behaviors of CSTRs has very rarely been published in the literature. In this work, Cholette’s model is employed to explore the nonideal mixing effect on the dynamic response of a nonisothermal CSTR. The analysis shows that the mixing parameter n (the fraction of the feed entering the zone of perfect mixing) and m (the fraction of the total volume of the reactor), indeed affect the characteristic roots of transfer function of a real CSTR, which determine the system stability. On the other hand, the inverse response and overshoot response are also affected by the nonideal mixing in a nonisothemal CSTR. These results are of much help for the design and control of a real CSTR.
-
Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
-
Research funding: None declared.
-
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
References
Albertos, P., and P. Pérez-Polo. 2007. “Nonisothermal Stirred-Tank Reactor with Irreversible Exothermic Reaction A→B: 1. Modeling and Local Control.” In Selected Topics in Dynamics and Control of Chemical and Biological Processes, edited by M. -A. Hugo Oscar, R. Femat, and V. González-Álvarez, 3–32. Berlin Heidelberg: Springer-Verlag.10.1007/978-3-540-73188-7_1Search in Google Scholar
Alfaro, V. M., and R. Vilanova. 2013. “Robust Tuning of 2DoF Five-Parameter PID Controllers for Inverse Response Controlled Processes.” Journal of Process Control 23: 453–62, https://doi.org/10.1016/j.jprocont.2013.01.005.Search in Google Scholar
Alfaro, V. M., P. Balaguer, and O. Arrieta. 2012. “Robustness Consideration on PID Tuning for Regulatory Control of Inverse Response Processes.” IFAC Proceedings 45: 193–8, https://doi.org/10.3182/20120328-3-it-3014.00033.Search in Google Scholar
Balaguer, P., P. Alfaro, and O. Arrieta. 2011. “Second Order Inverse Response Processes Identification from Transient Step Response.” ISA Transactions 50: 231–8, https://doi.org/10.1016/j.isatra.2010.11.005.Search in Google Scholar
Cartagena, M., R. Pillajo, O. Camacho, A. Rosales, and G. Scaglia. 2018. “A Linear Algebra Controller Approach for Systems with Inverse Response.” In 2018 International Conference on Information Systems and Computer Science (INCISCOS). Quito: IEEE.10.1109/INCISCOS.2018.00016Search in Google Scholar
Chen, H., A. Kremling, and F. Allgower. 1995. “Nonlinear Predictive Control of a Benchmark CSTR.” In Proceedings of the 3rd European Control Conference, 3247–52. Rome: European Control Association.Search in Google Scholar
Chidambaram, M., and G. P. Reddy. 1996. “Nonlinear Control of Systems with Input and Output Multiplicity.” Computers chem. Engng. 20 (3): 295–9, https://doi.org/10.1016/0098-1354(95)00019-4.Search in Google Scholar
Coughanowr, D., and S. LeBlanc. 2008. Process Systems Analysis and Control, 3rd ed., 141–3. New York: McGraw-Hill.Search in Google Scholar
Graichen, K., V. Hagenmeyer, and M. Zeitz. 2009. “Design of Adaptive Feedforward Control under Input Constraints for a Benchmark CSTR Based on a BVP Solver.” Computers & Chemical Engineering 33: 473–83, https://doi.org/10.1016/j.compchemeng.2008.11.002.Search in Google Scholar
Hamdy, M., and I. Hamdan. 2015. “Robust Fuzzy Output Feedback Controller for Affine Nonlinear Systems via T–S Fuzzy Bilinear Model: CSTR Benchmark.” ISA Transactions 57: 85–92, https://doi.org/10.1016/j.isatra.2014.11.012.Search in Google Scholar PubMed
Jyothi, S. N., and M. Chidambram. 2001. “Nonlinear Feedforward Control of Bioreactors with Input Multiplicities.” Bioprocess and Biosystems Engineering 24: 123–9.10.1007/s004490100238Search in Google Scholar
Kataria, G., and K. Singh. 2018. “Design of Feedforward-Feedback Controller for Reactive Distillation Column Having Inverse Response.” In Indian Control Conference (ICC). Kanpur: IEEE.10.1109/INDIANCC.2018.8307986Search in Google Scholar
Liou, C. T., and Y. S. Chien. 1990. “The Effect of Non-ideal Mixing on Multiplicity in a Nonadiabatic CSTR.” Journal of the Chinese Institute of Engineers 13: 533–42, https://doi.org/10.1080/02533839.1990.9677285.Search in Google Scholar
Liou, C. T., and Y. S. Chien. 1991. “The Effect of Nonideal Mixing on Input Multiplicity in a CSTR.” Chemical Engineering Science 46: 2113–6, https://doi.org/10.1016/0009-2509(91)80168-x.Search in Google Scholar
Lo, S. N., and A. Cholette. 1983. “Multiplicity of a conversion in cascade in perfectly stirred tank reactor.” Chemical Engineering Science 38: 367–72.10.1016/0009-2509(83)80155-9Search in Google Scholar
Luyben, W. L. 2007. Chemical Reactor Design and Control. New Jersey: Wiley-Interscience John Wiley & Sons.10.1002/9780470134917Search in Google Scholar
Manca, D., G. Rovaglio, and G. Serafini Pazzaglia. 1998. “Inverse Response Compensation and Control Optimization of Incineration Plants with Energy Productions.” Computers & Chemical Engineering 22: 1879–96, https://doi.org/10.1016/s0098-1354(98)00239-7.Search in Google Scholar
Rohani, S. 2007. Coulson and Richardson’s Chemical Engineering, Volume 3B: Process Control, 4th ed., 146–51. Cambridge, MA: Elsevier Ltd.Search in Google Scholar
Seberg, D. E., T. F. Edgar, D. A. Millichamp, and F. J. DoyleIII. 2011. Process Dynamic and Control, 3rd ed., 95–8. NJ: John Wiley & Sons.Search in Google Scholar
Sexton, M. J., L. K. Forbes, and B. F. Gray. 1997. “A Study of the Dynamics of a Continuously Stirred Tank Reactor with Feedback Control of the Temperature.” Dynamics and Stability of Systems 12: 89–107, https://doi.org/10.1080/02681119708806239.Search in Google Scholar
Skupin, P., M. Metzger, P. Łaszczyk, and M. Niedzwiedz. 2017a. “Dynamical Behavior of the Hybrid Exothermic Chemical Reactor with Imperfect Mixing.” In 22nd International Conference on Methods and Models in Automaton and Robotcs (MMAR), 367–72. Miedzyzdroje: IEEE.10.1109/MMAR.2017.8046855Search in Google Scholar
Skupin, P., M. Metzger, P. Łaszczyk, and M. Niedzwiedz. 2017b. “Modelling of the Imperfect Mixing in a Hybrid Exothermic Chemical Reactor with Simulated Heat of Reaction.” In 27th European Symposium on Computer Aided Process Engineering (ESCAPE-27), 2845–50. Barcelona: Elsevier.10.1016/B978-0-444-63965-3.50476-1Search in Google Scholar
Skupin, P., P. Łaszczyk, and M. Metzger. 2019. “Bifurcation Analysis of a Hybrid Continuous Stirred Tank Reactor with Imperfect Mixing in the Cooling Jacket.” IFAC PapersOnLine 52-16: 334–9, https://doi.org/10.1016/j.ifacol.2019.11.802.Search in Google Scholar
Skupin, P., M. Metzger, P. Łaszczyk, and M. Niedzwiedz. 2019. “Experimental and Bifurcation Analysis of a Hybrid CSTR Plant.” Chemical Engineering Research and Design 148: 191–201, https://doi.org/10.1016/j.cherd.2019.06.010.Search in Google Scholar
Smith, C. A., and A. B. Corripo. 1997. Principles and Practice of Automatic Process Control, 2nd ed. New York: John Wiley & Sons.Search in Google Scholar
Sree, R. P., and M. Chidambaram. 2006. Control of Unstable Systems. Oxford: Alpha Science International Ltd.Search in Google Scholar
Tyreus, B. D., and W. L. Luyben. 1993. “Unusual Dynamics of a Reactor/perheater Process with Dead Time, Inverse Response and Openloop Instability.” Journal of Process Control 4: 241–51, https://doi.org/10.1016/0959-1524(93)80030-f.Search in Google Scholar
Yang, C. -Y., Y. -S. Chien, J. -H. Chou, H. -Y. Li, and C. -W. Hsieh. 2021. “Application of Cholette’s Model in Non-ideal Mixing CSTR: A Simulation Study on Dynamic Behavior.” International of Chemical Reactor Journal 19: 341–67, https://doi.org/10.1515/ijcre-2020-0197.Search in Google Scholar
© 2021 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Review
- Book Review: Industrial green chemistry, Editors: Serge Kaliaguine and Jean-Luc Dubois
- Articles
- Experimental characterization, TDDFT-DFT, and spin effect on [PEG/H2O–ZrO2/TiO2]h hybrid nanofluid 3D flow as potential ceramic industry application
- A simulation study of nonideal mixing effect on the dynamic response of an exothermic CSTR with Cholette’s model
- CO2 utilization by dry reforming of CH4 over mesoporous Ni/KIT-6 catalyst
- CFD-based simulation to reduce greenhouse gas emissions from industrial plants
- Beneficiation of phosphate-siliceous slates via acetic acid
- Artificial neural network (ANN) approach for prediction and modeling of breakthrough curve analysis of fixed-bed adsorption of iron ions from aqueous solution by activated carbon from Limonia acidissima shell
- A comparative study and combined application of RSM and ANN in adsorptive removal of diuron using biomass ashes
- Removal of a reactive dye from simulated textile wastewater by environmentally friendly oxidant calcium peroxide
Articles in the same Issue
- Frontmatter
- Review
- Book Review: Industrial green chemistry, Editors: Serge Kaliaguine and Jean-Luc Dubois
- Articles
- Experimental characterization, TDDFT-DFT, and spin effect on [PEG/H2O–ZrO2/TiO2]h hybrid nanofluid 3D flow as potential ceramic industry application
- A simulation study of nonideal mixing effect on the dynamic response of an exothermic CSTR with Cholette’s model
- CO2 utilization by dry reforming of CH4 over mesoporous Ni/KIT-6 catalyst
- CFD-based simulation to reduce greenhouse gas emissions from industrial plants
- Beneficiation of phosphate-siliceous slates via acetic acid
- Artificial neural network (ANN) approach for prediction and modeling of breakthrough curve analysis of fixed-bed adsorption of iron ions from aqueous solution by activated carbon from Limonia acidissima shell
- A comparative study and combined application of RSM and ANN in adsorptive removal of diuron using biomass ashes
- Removal of a reactive dye from simulated textile wastewater by environmentally friendly oxidant calcium peroxide
