Document Type : Original Article

Authors

1 School of Physics, Damghan University, Damghan, Semnan

2 School of Physics, Damghan University

3 Plasma Physics Research Center, Islamic Azad University, Science and Research Branch, Tehran, Iran

Abstract

Controlling tokamak plasmas is a complex process that is affected by structured uncertainties and unmodeled dynamics. To overcome these challenges and achieve a well-defined robust behavioral outcome, it is crucial to develop standard controllers. The decoupling control theory for Multiple-Input Multiple-Output (MIMO) processes is a powerful technique that allows the mitigation or elimination of undesirable cross-coupling terms in tokamaks, making it superior to the Single-Input Single-Output (SISO) control scheme. Our study proposes two types of controllers, PID-tuned and cascaded-robust controllers, that exploit decoupling and robustness for horizontal position and current control of plasma in IR-T1 tokamak. We compare the controllers through simulations and study the impact of changing the vertical field coil voltage on the cross-coupling of these two plasma parameters. The results demonstrate that the PID-tuned controller outperforms the robust controller in terms of meeting control requirements, disturbance rejection, reference value tracking, and disruption mitigation, especially in cross-coupling controls. Of course, the definitive confirmation requires experimental studies with more diverse conditions and, finally construction and operation of these controllers in tokamaks.

Keywords

Main Subjects

  1. A Ogata and H Ninomiya, J. Appl. Phys. 18 (1979) 825.
  2. A Portone, et al., Fusion Technol.32 (1997) 374. 
  3. G Ambrosino, et al., “Plasma current and shape control in tokamaks using and -synthesis”, in IEEE Proceedings of the Conference on Decision and Control, San Diego, California, (1997) 3697.
  4. M Emami, A R Babazadeh, and H Rasouli, Pramana; Journal of Physics 62 (2004) 53.
  5. G De Tommasi, et al., Fusion Eng. Des. 129 (2018) 152.
  6. Y V Mitrishkin, et al., “Linear and impulse control systems for plasma unstable vertical position in elongated tokamak”, in 51st IEEE conference on Decision and Control, Maui, Hawaii (2012) 1697.
  7. R A Fahmy, R I Badr, and F A Rahman, The Mediterranean Journal of Meas. Contr. 11 (2015) 438.
  8. C A Lin, “Necessary and sufficient conditions for existence of decoupling controllers”, in IEEE Proceedings of the Conference on Decision and Control, New Orleans, Louisiana, (1995) 1157.
  9. Q G Wang, et al., Automat. 33 (1997) 319.
  10. F G Shinskey, “Process Control Systems: Application, Design, and Adjustment”, McGraw-Hill, New York (1996).
  11. S Skogestad and I Postlethwaite, “Multivariable Feedback Control: Analysis and Design”, John Wiley & Sons, New York (2005).
  12. K J Astrom and T Hagglund, “PID controllers: Theory, Design and Tuning”, Instrument Society of America: Research Triangle Park, NC, (1995).
  13. Y V Mitrishkin, et al., “Plasma magnetic robust control in tokamak-reactor”, in Proceedings of the IEEE Conference on Decision and Control, San Diego, California, (2006) 2207.
  14. Y V Mitrishkin, A V Kadurin, and A Y Korostelev, “Tokamak plasma shape and current controller design in multivariable cascade system”, in IFAC World Congress, Milano, Italy (2011) 3722.
  15. G Ambrosino, et al., “A model-based controller design approach for the TCV tokamak”, in IEEE Proceedings of the International Conference on Control Applications, Trieste, Italy (1998) 202.
  16. M Ariola, et al., IEEE Trans. Contr. Syst. Technol. 10 (2002) 646.
  17. M L Walker, D A Humphreys and J R Ferron, “Control of plasma poloidal shape and position in the DIII-D tokamak”, in IEEE Proceedings of the Conference on Decision and Control, San Diego, California (1997) 3703.
  18. D A Humphreys, et al., “Initial implementation of a multivariable plasma shape and position controller on the DIII-D tokamak”, in Proceedings of the IEEE International Conference on Control Applications, Anchorage, Alaska (2000) 412.
  19. R Albanese, et al., “A MIMO architecture for integrated control of plasma shape and flux expansion for the EAST tokamak”, in IEEE Conference on Control Applications, Buenos Aires, Argentina (2016) 611.
  20. W Shi, et al., “Multivariable multi-model-based magnetic control system for the current ramp-up phase in the National Spherical Torus Experiment (NSTX)”, in 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, Florida (2011) 2632.
  21. L Boncagni, et al., “Performance-based controller switching: An application to plasma current control at FTU”, in 54th IEEE Conference on Decision and Control, Osaka, Japan (2015) 2319.
  22. G Ramogida, et al., Mat. Energy 12 (2017) 1082.
  23. A Naghidokht, et al., Fusion Eng. Des. 107 (2016) 82.
  24. S Meshkani, M Ghoranneviss and Ch Rasouli, “Recent MCF Activities in Iran”, in 23rd IAEA Technical Meeting on Research Using Small Fusion Devices, Santiago, Chile (2017) 1-88.
  25. Goodarzi, M. Ghoranneviss, and A. Salar Elahi, J. Fusion Energy 32 (2013) 103.
  26. M Ariola and A Pironti, “Magnetic Control of Tokamak Plasmas”, Springer-Verlag, London (2008).
  27. Y Suzuki, et al., J. Appl. Phys. 16 (1997) 2237.
  28. G Balas, et al., “ -Analysis and Synthesis Toolbox: for Use with MATLAB, User's Guide version 3”, The MathWorks Inc. (1998).
  29. E Gagnon, A Pomerleau, and A Desbiens, ISA Trans. 37 (1998) 265.
  30. P Y Chen and W D Zhang, ISA Trans. 46 (2007) 199.
  31. L Boncagni, et al., Fusion Eng. Des. 88 (2013) 1109.
  32. A Naghidokht, “MIMO IR-T1: MATLAB M-File for designing of a decoupled Multiple-Input Multiple-Output (MIMO) controller for plasma current and horizontal position in IR-T1 tokamak”, Mendeley Data, V. 2, Dataset, (2022) https://doi.org/10.17632/khwsrw8hy6.1.
  33. Niomiya and N. Suzuki, Jpn. J. Appl. Phys. 21 (1982) 1323.
  34. M Emami, M Ghoranneviss, and R Tarkeshian, Fusion Eng. Des. 83 (2008) 684.
  35. Salar Elahi and M. Ghoranneviss, J. Fusion Energy 33 (2014) 242.
  36. A P V d A Aguiar, G Acioli Júnior and P R Barros, Control. Autom. Electr. Syst. 32 (2011) 830.
  37. R H Naik, D V A Kumar, and P Sujatha, Ain Shams Eng. Journal 11 (2020) 343.

ارتقاء امنیت وب با وف ایرانی