Magnetic Control of Plasma Current, Position, and Shape in Tokamaks: A survey of modeling and control approaches

IEEE Control Systems

Volumn 25, Issue 5, 2005, Pages 76-92

  Ambrosino, Giuseppe ^a   Albanese, Raffaele ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM SYNTHESIS; ELECTRIC CURRENT CONTROL; MAGNETIC FIELDS; MAGNETIC FLUX; MATHEMATICAL MODELS; POSITION CONTROL;

MAGNETIC CONTROL; PLASMA CURRENT; SHAPE CONTROL;

TOKAMAK DEVICES;

EID: 27144513475     PISSN: 1066033X     EISSN: None     Source Type: Journal    
DOI: 10.1109/MCS.2005.1512797     Document Type: Article

References (71)

1. A. Pironti and M. Walker, “Fusion, tokamaks, and plasma control,” IEEE Control Syst. Mag., vol. 25, no. 5, pp. 30–43, Oct. 2005.
2. M. Ariola and A. Pironti, “Plasma shape control for the JET tokamak,” IEEE Control Syst. Mag., vol. 25, no. 5, pp. 65–75, Oct. 2005.
3. A. Beghi and A. Cenedese, “Advances in real-time plasma boundary reconstruction,” IEEE Control Syst. Mag., vol. 25, no. 5, pp. 44–64, Oct. 2005.
4. K. Lackner, “Computation of ideal MHD equilibria,” Comput. Phys. Commun., vol. 12, no. 1, pp. 33–44, Sept. 1976.
5. J. Blum, J. Le Foil, and B. Thooris, “The self-consistent equilibrium and diffusion code SCED,” Comput. Phys. Commun., vol. 24, no. 3–4, pp. 235–254, Dec. 1981.
6. S.C. Jardin, N. Pomphrey, and J. De Lucia, “Dynamic modeling of transport and positional control of tokamaks,” J. Comput. Phys., vol. 66, no. 5, pp. 481–507, May 1986.
7. F. Hofmann, “FBT—A free boundary tokamak equilibrium code for highly elongated and shaped plasmas,” Comput. Phys. Commun., vol. 48, no. 2, pp. 207–221, Feb. 1988.
8. R. Albanese, J. Blum, and O. De Barbieri, “Numerical studies of the next European torus via the PROTEUS Code,” in Proc. 12th Conf. Numerical Simulation of Plasmas, S. Francisco, CA, 1987, paper IT4, pp. 1–2.
9. R.H. Bulmer, “Tokamak physics experiment poloidal field design,” in Proc. 15th IEEE/NPSS Symp. Fusion Eng., Hyannis, MA, Oct. 1993, vol. 2, pp. 176–179.
10. J. Blum, Numerical Simulation and Optimal Control in Plasma Physics with Applications to Tokamaks. New York: Wiley, 1985.
11. R. Albanese, G. Ambrosino, R. Martone, and A. Pironti, “PF coil optimization for start-up scenarios in air core tokamaks,” IEEE Trans. Magn., vol. 30, no. 5, pp. 3423–3426, May 1994.
12. R.D. Pillsbury and S.P. Hakkerainen, “Plasma startup modeling for ALCATOR C-MOD,” in Proc. 13th IEEE Symp. Fusion Engineering, Knoxville, TE, Oct. 1989, vol. 1, pp. 642–645.
13. K. Lackner and A.B. Macmahon, “Numerical study of displacement instability in elongated tokamak,” Nucl. Fusion, vol. 14, no. 4, pp. 575–577, Sept. 1974.
14. J. Wesley, H. W. Bartels, D. Boucher, A. Costley, L. De Kock, Y. Gribov, M. Huguet, G. Janeschitz, P.L. Mondino, V. Mukhovatov, A. Portone, M. Sugihara, and I. Yonekawa, “Plasma control requirements and concepts for ITER,” Fusion Technol., vol. 32, no. 3, pp. 470–495, Nov. 1997.
15. A. Portone, R. Albanese, Y.V. Gribov, M. Huguet, D.H. Humphreys, C.E. Kessel, P.L. Mondino, L.D. Pearlstein, and J.C. Wesley, “Dynamic control of plasma position and shape in ITER,” Fusion Technol., vol. 32, no. 3, pp. 374–389, Nov. 1997.
16. W.M. Stacey, Fusion Plasma Analysis. Melbourne, FL: Krieger, 1981.
17. E. Rebhan, “Stability boundaries of tokamaks with respect to rigid displacements,” Nucl. Fusion, vol. 15, no. 2, pp. 277–285, Apr. 1975.
18. D.J. Ward and S.C. Jardin, “Effects of plasma deformability on the feedback stabilization of axisymmetric modes in tokamak plasmas,” Nucl. Fusion, vol. 32, no. 6, pp. 973–993, June 1992.
19. R. Albanese, R. Fresa, G. Rubinacci, and F. Villone, “Time evolution of tokamak plasmas in the presence of 3D conducting structures,” IEEE Trans. Magn., vol. 36, no. 4, pp. 1804–1807, July 2000.
20. I. Senda, T. Shoji, T. Tsunematsu, T. Nishino, and H. Fujieda, “Approximation of eddy currents in three dimensional structures by toroidally symmetric models, and plasma control issues,” Nucl. Fusion, vol. 37, no. 8, pp. 1129–1145, Aug. 1997.
21. J.L. Luxon and B.B. Brown, “Magnetic analysis of non-circular cross-section tokamaks,” Nucl. Fusion, vol. 22, no. 6, pp. 813–821, June 1982.
22. R. Albanese and F. Villone, “The linearized CREATE-L plasma response model for the control of current, position and shape in tokamaks,” Nucl. Fusion, vol. 38, no. 5, pp. 723–738, May 1998.
23. H.G. Eriksson, “Axisymmetric stability of a toroidal pinch with non-circular cross-section,” Plasma Phys. Control. Fusion, vol. 34, no. 12, pp. 1721–1748, Dec. 1992.
24. V.D. Shafranov, “Plasma equilibrium in a magnetic field,” Revs. Plasma Phys., vol. 2, no. 1, pp. 103–151, Jan. 1966.
25. H.D. Pacher, B.C. Gregory, and G.W. Pacher, “Magnetohydrody-namic equilibrium of tokamak plasmas with reversed current layers,” Nucl. Fusion, vol. 26, no. 4, pp. 507–513, Apr. 1986.
26. J. Hugill and A. Gibson, “Servo-control of plasma position in CLEO tokamak,” Nucl. Fusion, vol. 14, no. 5, pp. 611–620, Nov. 1974.
27. R. Gran, M.J. Rossi, and F. Sobierajski, “Plasma position control for TFTR using modern control theory,” in Proc. 7th Symp. Eng. Probs. Fusion Research, Knoxville, TN, 1977, pp. 104–111.
28. M.A. Firestone, “Analysis of modern optimal control theory applied to plasma position and current control in TFTR,” IEEE Trans. Plasma Sci., vol. 10, no. 2, pp. 105–115, June 1982.
29. G.H. Neilson, G.R. Dyer, and P.H. Edmonds, “A model for coupled plasma current and position feedback control in the ISX-B tokamak,” Nucl. Fusion, vol. 24, no. 10, pp. 1291–1302, Oct. 1984.
30. Y. Nagayama, M. Naito, Y. Ueda, Y. Ohki, and K. Miyamoto, “Feed-back control of vertical plasma position in non-circular tokamak TNT-A,” Nucl. Fusion, vol. 24, no. 10, pp. 1243–1249, Oct. 1984.
31. E.A. Lazarus and G.H. Neilson, “Solutions to the tokamak circuit equations with force balance for a massless plasma,” Nucl. Fusion, vol. 27, no. 3, pp. 383–396, Mar. 1987.
32. G. Ambrosino, G. Celentano, V. Coccorese, and F. Garofalo, “Controller design for plasma position and current control in NET,” in Proc. 15th Symp. Fusion Technology, Utrecht, 1988, pp. 1670–1674.
33. D.C. Robinson and A.J. Wootton, “An experimental study of tokamak plasmas with vertically elongated cross-sections,” Nucl. Fusion, vol. 18, no. 11, pp. 1555–1567, Nov. 1978.
34. M. Mori, N. Suzuki, T. Shoji, I. Yanagisawa, T. Tani, and Y. Matsuzaki, “Stability limit of feedback control of vertical plasma position in the JFT-2M tokamak,” Nucl. Fusion, vol. 27, no. 5, pp. 725–734, May 1987.
35. M. Okabayashi and G. Sheffield, “Vertical stability of elongated tokamaks,” Nucl. Fusion, vol. 14, no. 2, pp. 263–265, Apr. 1974.
36. D. Berger, L.C. Bernard, R. Gruber, and F. Troyon, “Numerical MHD stability calculation of a D-shaped, elongated, small aspect ratio tokamak,” in Proc. 8th Conf. Controlled Fusion Plasma Physics, Prague, 1977, Paper 52, p. 52.
37. E. Rebhan and A. Salat, “Feedback stabilization of axisymmetric MHD instabilities in tokamaks,” Nucl. Fusion, vol. 18, no. 10, pp. 1431–1444, Oct. 1978.
38. D.A. Humphreys and I.H. Hutchinson, “Filament-circuit model analysis of Alcator C-Mod vertical stability,” Massachusetts Inst. Technol., Cambridge, MA, Int. Rep. PFC/JA-89_28, 1989.
39. E.A. Lazarus, J.B. Lister, and G.H. Neilson, “Control of the vertical instability in tokamaks,” Nucl. Fusion, vol. 30, no. 1, pp. 111–141, Jan. 1990.
40. S.C. Jardin and D.A. Larrabee, “Feedback stabilization of rigid axisymmetric modes in tokamaks,” Nucl. Fusion, vol. 22, no. 8, pp. 1095–1098, Aug. 1982.
41. S. Moriyama, K. Nakamura, Y. Nakamura, and S. Itoh, “Analysis of optimal feedaback control of vertical plasma position in a tokamak system,” Jpn. J. Appl. Phys., vol. 24, no. 7, pp. 849–855, 1985.
42. M.M.M. Al-Husari, B. Hendel, I.M. Jaimoukha, E.M. Kasenally, D.J.N. Limebeer, and A. Portone, “Vertical stabilization of tokamak plasmas,” in Proc. 30th IEEE CDC, Brighton, UK, 1991, pp. 1165–1170.
43. J.R. Gossner, P. Vyas, B. Kouvaritakis, and A.W. Morris, “Application of cautious stable's predictive control to vertical positioning in COMPASS-D tokamak,” IEEE Trans. Contr. Syst. Technol., vol. 7, no. 5, pp. 580–587, Sept. 1999.
44. L. Scibile and B. Kouvaritakis, “A discrete adaptive near-time optimum control for the plasma vertical position in a tokamak,” IEEE Trans. Contr. Syst. Technol., vol. 9, no. 1, pp. 148–162, Jan. 2001.
45. M. Lennholm, D. Campbell, F. Milani, S. Puppin, F. Sartori, and B. Tubbing, “Plasma vertical stabilisation at JET using adaptive gain adjustment,” in Proc. 17th IEEE/NPSS Symp. Fusion Engineering, San Diego, CA, 1997, vol. 1, pp. 539–542.
46. R. Albanese, E. Coccorese, and G. Rubinacci, “Plasma modeling for the control of vertical instabilities,” Nucl. Fusion, vol. 29, no. 6, pp. 1013–1023, June 1989.
47. D.J. Ward and F. Hofmann, “Active feedback stabilization of axisymmetric modes in highly elongated tokamak plasmas,” Nucl. Fusion, vol. 34, no. 3, pp. 401–415, Mar. 1994.
48. D.A. Humphreys and I.H. Hutchinson, “Axisymmetric magnetic control design in tokamaks using perturbed plasma equilibrium response modeling,” Fusion Technol., vol. 23, no. 2, pp. 167–184, Mar. 1993.
49. C.E. Kessel and M.A. Firestone, “Determination of gross plasma equilibrium from magnetic multipoles,” Fusion Technol., vol. 10, pp. 1122–1177, Nov. 1986.
50. C.E. Kessel, M.A. Firestone, and R.W. Conn, “Linear optimal control of tokamak fusion devices,” Fusion Technol., vol. 17, no. 3, pp. 391–411, May 1990.
51. F. Hofmann and S.C. Jardin, “Plasma shape and position control in highly elongated tokamaks,” Nucl. Fusion, vol. 30, no. 10, pp. 2013–2022, Oct. 1990.
52. H. Jhang, C.E. Kessel, N. Pomphrey, J.Y. Kim, S.C. Jardin, and G.S. Lee, “Simulation studies of plasma identification and control in Korea Superconducting Tokamak Advanced Research,” Fusion Eng. Des., vol. 54, no. 1, pp. 117–134, Feb. 2001.
53. I.H. Hutchinson, S.F. Horne, G. Tinios, S.W. Wolfe, and R.S. Granetz, “Plasma shape control: A general approach and its application to Alcator C-Mod,” Fusion Technol., vol. 30, no. 2, pp. 137–150, Nov. 1996.
54. J.B. Lister, F. Hofmann, J.M. Moret, F. Buhlmann, M.J. Dutch, D. Fasel, A. Favre, P.F. Isoz, B. Marletaz, P. Marmillod, Y. Martin, A. Perez, and D.J. Ward, “The control of tokamak configuration variable plasmas,” Fusion Technol., vol. 32, no. 3, pp. 321–373, Nov. 1997.
55. S. Kinoshita, H. Fukumoto, A.G. Kellman, N. Hosogane, T. Osborne, E.J. Strait, and T.S. Taylor, “Independent control of gaps in single-null divertor discharge on the DIII-D tokamak,” General Atomics, San Diego, CA, Int. Rep. GA-A19584, 1990.
56. A. Pironti and A. Portone, “Optimal choice of the geometrical descriptors for the control of the shape of a tokamak plasma,” Fusion Eng. Des., vol. 43, no. 2, pp. 115–127, Feb. 1998.
57. M. Garribba, R. Litunovsky, P. Noll, and S. Puppin, “The new control scheme for the JET plasma position and current control system,” in Proc. 15th IEEE/NPSS Symp. Fusion Engineering, Hyannis, MA, 1993, pp. 33–36.
58. M. Garribba, M.L. Browne, D.J. Campbell, Z. Hudson, R. Litunovsky, V. Marchese, F. Milani, J. Mills, P. Noll, S. Puppin, F. Sartori, L. Scibile, A. Tanga, and I. Young, “First operational experience with the new plasma position and current control system of JET,” in Proc. 18th Symp. Fusion Technology, Karlsruhe, Germany, 1994, pp. 747–750.
59. F. Villone, P. Vyas, J.B. Lister, and R. Albanese, “Comparison of the CREATE-L plasma response model with TCV limited discharges,” Nucl. Fusion, vol. 37, no. 10, pp. 1395–1410, Oct. 1997.
60. R. Albanese, G. Calabrò, M. Mattei, and F. Villone, “Plasma Response Models for Current, Shape and Position Control in JET,” Fusion Eng. Des., vol. 66–68, pp. 715–718, Sept. 2003.
61. R. Albanese, G. Ambrosino, E. Coccorese, F.C. Morabito, A. Pironti, G. Rubinacci, and S. Scala, “Plasma current, shape, and position control in ITER,” Fusion Technol., vol. 30, no. 2, pp. 167–183, Nov. 1996.
62. G. Ambrosino, M. Ariola, Y. Mitrishkin, A. Pironti, and A. Portone, “Plasma current and shape control in tokamaks using H∞ and μ-synthesis,” in Proc. 36th IEEE Conf. Decision Control, San Diego, CA, 1997, pp. 3697–3702.
63. M. Ariola, G. Ambrosino, J.B. Lister, A. Pironti, F. Villone, and P. Vyas, “A modern plasma controller tested on the TCV tokamak,” Fusion Technol., vol. 36, no. 2, pp. 126–138, Sep. 1999.
64. D.A. Humphreys, J.A. Leuer, and M.L. Walker, “Minimal plasma response models for design of tokamak equilibrium controllers with high dynamic accuracy,” Bull. Amer. Phys. Soc., vol. 44, pp. 175–180, Nov. 1999.
65. M.L. Walker, D.A. Humphreys, J.A. Leuer, J.R. Ferron, and B.G. Penaflor, “Implementation of model-based multivariable control on DIII-D,” Fusion Eng. Des., vol. 56, no. 7, pp. 727–731, Oct. 2001.
66. G. Ambrosino, M. Ariola, A. Pironti, and F. Sartori, “A new shape controller for extremely shaped plasmas in JET,” Fusion Eng. Des., vol. 66–68, pp. 797–802, Sept. 2003.
67. F. Crisanti, R. Albanese, G. Ambrosino, M. Ariola, J.B.L. Lister, M. Mattei, F. Milani, A. Pironti, F. Sartori, and F. Villone, “Upgrade of the present JET Shape and Vertical Stability Controller,” Fusion Eng. Des., vol. 66–68, pp. 803–807, Sept. 2003.
68. R. Yoshino, J.K. Koga, and T. Takeda, “Sensor algorithms of the plasma vertical position to avoid a vertical displacement event during plasma-current quench on JT-60U,” Fusion Technol., vol. 30, no. 2, pp. 237–250, Nov. 1996.
69. F. Hofmann, I. Furno, S. Gerasimov, Y. Martin, F. Milani, M.F.F. Nave, H. Reimerdes, F. Sartori, and O. Sauter, “Effect of ELMs on the measurement of vertical plasma position in TCV and JET,” Nucl. Fusion, vol. 42, no. 1, pp. 59–65, Jan. 2002.
70. L.O. Chua, C.A. Desoer, and E.S. Kuh, Linear and Nonlinear Circuits. New York: McGraw-Hill, 1989.
71. J. Wesson, Tokamaks. Oxford, UK: Clarendon Press, 1997.