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Implementation of the FOPID Algorithm in the PLC Controller - PWR Thermal Power Control Case Study

Abstract

In the paper authors describe proposition of design and verification procedures of the discrete Fractional Order PID (FOPID) algorithm for control of the Pressurized Water Reactor (PWR) thermal power near its nominal operating point. The FOPID algorithm synthesis consists of: off-line optimal tunning of its parameters in continuous time-domain with LQ (Linear Quadratic) performance index and simplified models of nuclear reactor and control rods drive; its transformation into equivalent integer order structure with Oustaloup filters; and finally its transformation into equivalent discrete form. Discrete FOPID algorithm is further implemented in the PLC controller and verified by real-time simulation in the Hardware In the Loop (HIL) structure with non-linear nuclear reactor model. Promising simulation results were obtained, which confirm improved flexibility of the discrete FOPID algorithm in comparison to its classical PID counterpart.

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Category:
Conference activity
Type:
materiały konferencyjne indeksowane w Web of Science
Title of issue:
2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR) strony 229 - 234
Language:
English
Publication year:
2018
Bibliographic description:
Puchalski B., Rutkowski T. A., Duzinkiewicz K..: Implementation of the FOPID Algorithm in the PLC Controller - PWR Thermal Power Control Case Study, W: 2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR), 2018, ,.
DOI:
Digital Object Identifier (open in new tab) 10.1109/mmar.2018.8485807
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  1. K. B. Oldham and J. Spanier, The fractional calculus: theory and applications of differentiation and integration to arbitrary order. Dover Publications, 2006. open in new tab
  2. I. Podlubny, Fractional differential equations. Elsevier, 1998, vol. 198. open in new tab
  3. D. Xue, Fractional-order Control Systems: Fundamentals and Numerical Implementations. Walter de Gruyter GmbH & Co KG, 2017, vol. 1. open in new tab
  4. S. Das, S. Das, and A. Gupta, "Fractional order modeling of a PHWR under step-back condition and control of its global power with a robust P I λ D µ controller," IEEE Transactions on Nuclear Science, vol. 58, no. 5, pp. 2431-2441, 2011. open in new tab
  5. T. K. Nowak, K. Duzinkiewicz, and R. Piotrowski, "Fractional neutron point kinetics equations for nuclear reactor dynamics-numerical solution investigations," Annals of Nuclear Energy, vol. 73, pp. 317-329, 2014. open in new tab
  6. --, "Numerical solution analysis of fractional point kinetics and heat exchange in nuclear reactor," Nuclear Engineering and Design, vol. 281, pp. 121-130, 2015. open in new tab
  7. S. Das, I. Pan, and S. Das, "Fractional order fuzzy control of nuclear reactor power with thermal-hydraulic effects in the presence of random network induced delay and sensor noise having long range dependence," Energy Conversion and Management, vol. 68, pp. 200-218, 2013. open in new tab
  8. B. Puchalski, K. Duzinkiewicz, and T. Rutkowski, "Analiza sterowania ułamkowego P I λ D µ mocą reaktora jądrowego," Informatyka, Automatyka, Pomiary w Gospodarce i OchronieŚrodowiska, no. 4, pp. 63-68, 2013.
  9. --, "Wieloobszarowa rozmyta regulacja P I λ D µ mocy reaktora jądrowego," in Aktualne Problemy Automatyki i Robotyki, K. Malinowski, J. Józefczyk, and J.Świątek, Eds. Akademicka Oficyna Wydawnicza EXIT, 2014, vol. 20, pp. 544-557. open in new tab
  10. K. J. Åström and T. Hägglund, PID controllers: theory, design, and tuning. Instrument society of America Research Triangle Park, NC, 1995, vol. 2.
  11. Z.-Y. Zhao, M. Tomizuka, and S. Isaka, "Fuzzy gain scheduling of PID controllers," IEEE transactions on systems, man, and cybernetics, vol. 23, no. 5, pp. 1392-1398, 1993.
  12. B. Puchalski, K. Duzinkiewicz, and T. Rutkowski, "Multi-region fuzzy logic controller with local PID controllers for U-tube steam generator in nuclear power plant," Archives of Control Sciences, vol. 25, no. 4, pp. 429-444, 2015. open in new tab
  13. B. Puchalski, T. Rutkowski, J. Tarnawski, and K. Duzinkiewicz, "Comparison of tuning procedures based on evolutionary algorithm for multi-region fuzzy-logi PID controller for non-linear plant," in Methods and Models in Automation and Robotics (MMAR), 2015 20th International Conference on. IEEE, 2015, pp. 897-902. open in new tab
  14. P. Sokólski, T. A. Rutkowski, and K. Duzinkiewicz, "The excitation controller with gain scheduling mechanism for synchronous generator control," in Methods and Models in Automation and Robotics (MMAR), 2015 20th International Conference on. IEEE, 2015, pp. 23-28. open in new tab
  15. P. Sokólski, K. Kulkowski, A. Kobylarz, K. Duzinkiewicz, T. Rutkowski, and M. Grochowski, "Advanced control structures of turbo generator system of nuclear power plant," Acta Energetica, vol. 3, no. 24, pp. 83-90, 2015. open in new tab
  16. A. Soukkou, M. Belhour, and S. Leulmi, "Review, design, optimization and stability analysis of Fractional-Order PID controller," International Journal of Intelligent Systems and Applications, vol. 8, no. 7, p. 73, 2016. open in new tab
  17. S. Das, I. Pan, S. Das, and A. Gupta, "A novel fractional order fuzzy PID controller and its optimal time domain tuning based on integral performance indices," Engineering Applications of Artificial Intelligence, vol. 25, no. 2, pp. 430-442, 2012. open in new tab
  18. S. Saha, S. Das, R. Ghosh, B. Goswami, R. Balasubramanian, A. Chandra, S. Das, and A. Gupta, "Design of a fractional order phase shaper for iso-damped control of a PHWR under step-back condition," IEEE Transactions on Nuclear Science, vol. 57, no. 3, pp. 1602-1612, 2010. open in new tab
  19. MathWorks, "Simulink Desktop Real-Time," March 2018. [Online]. Available: https://www.mathworks.com/products/ simulink-desktop-real-time.html open in new tab
  20. J. J. Duderstadt and L. J. Hamilton, Nuclear reactor analysis. Wiley New York, 1976, vol. 1. open in new tab
  21. A. Oustaloup, F. Levron, B. Mathieu, and F. M. Nanot, "Frequency-band complex noninteger differentiator: characterization and synthesis," IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 47, no. 1, pp. 25-39, 2000. 13 open in new tab
  22. G. F. Franklin, J. D. Powell, and M. L. Workman, Digital control of dynamic systems. Addison-wesley Menlo Park, CA, 1998, vol. 3. open in new tab
  23. K. H. John and M. Tiegelkamp, IEC 61131-3: Programming Industrial Automation Systems. Springer Science & Business Media, 2010. open in new tab
  24. MathWorks, "Simulink PLC Coder," March 2018. [Online]. Available: https://www.mathworks.com/products/sl-plc-coder.html open in new tab
  25. B. Puchalski, T. A. Rutkowski, and K. Duzinkiewicz, "Multi-nodal PWR reactor model-methodology proposition for power distribution coefficients calculation," in Methods and Models in Automation and Robotics (MMAR), 2016 21st International Conference on. IEEE, 2016, pp. 385-390. open in new tab
  26. --, "Nodal models of pressurized water reactor core for control purposes-a comparison study," Nuclear Engineering and Design, vol. 322, pp. 444-463, 2017. open in new tab
  27. C. Audet and J. E. Dennis Jr, "Mesh adaptive direct search algorithms for constrained optimization," SIAM Journal on optimization, vol. 17, no. 1, pp. 188-217, 2006. open in new tab
  28. D. E. Goldberg, Genetic Algorithms in Search, Optimization and Machine Learning, 1st ed. Boston, MA, USA: Addison-Wesley Longman Publishing Co., Inc., 1989.
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