A Simple Procedure for Establishing Ignition Conditions in Tokamaks

  • N. A. Uckan
  • J. Sheffield
Part of the Ettore Majorana International Science Series book series (EMISS)


A method of establishing ignition conditions and plasma operating regimes over large regions of parameter space (R 0/a, b/a, aB 0 2/q, etc.) under various physics assumptions (χe, χi, q Ψ , β crit, n crit, etc.) using a simple global model is presented. Contour plots of ignition, supplementary power, and plasma heating and operating windows are generated. These are then used to analyze the potential physics design space, operating regimes, and plasma performance characteristics of small (R 0 ~ 1–2 m), high-field (B 0 ~ 8–13 T) tokamak ignition experiments.


Operating Window Ignition Condition Auxiliary Heating Auxiliary Power Burning Plasma 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    J. Sheffield, “Options for an Ignited Tokamak,” Oak Ridge National Laboratory Report ORNL/TM-8924 (1984).Google Scholar
  2. 2.
    N. A. Uckan, J. Sheffield, W. A. Houlberg, and E. C. Selcow, “Physics Scaling Studies for Tokamak Ignition Experiments” (to be published).Google Scholar
  3. 3.
    N. A. Uckan, J. Sheffield, and E. C. Selcow, A Simple Contour Analysis of Ignition Conditions and Plasma Operating Regimes in Tokamaks, presented at the 11th Symposium on Fusion Engineering, Austin, Nov. 18–22, 1985 (proceedings to be published).Google Scholar
  4. 4.
    N. A. Uckan, W. A. Houlberg, and J. Sheffield, Physics Evaluation of Compact Tokamak Ignition Experiments, presented at the 11th Symposium on Fusion Engineering, Austin, Nov. 18–22, 1985 (proceedings to be published).Google Scholar
  5. 5.
    M. Murakami et al., Nucl. Fusion 16: 347 (1976).CrossRefGoogle Scholar
  6. 6.
    B. Coppi, “An Advanced Burning Core Experiment,” Massachusetts Institute of Technology R.L.E. Report PTP-84/17 (1984).Google Scholar
  7. 7.
    J. A. Schmidt et al., PPPL Ignition Studies Project, private communication, 1984–1985.Google Scholar
  8. 8.
    D. R. Cohn et al., MIT LITE Studies, private communication, 1984–1985.Google Scholar
  9. 9.
    W. A. Houlberg, private communication; see also W. A. Houlberg et al., Nucl. Fusion 22: 935 (1982).Google Scholar
  10. 10.
    R. D. Hazeltine, F. L. Hinton, and M. N. Rosenbluth, Phys. Fluids 16: 1645 (1973)CrossRefGoogle Scholar
  11. B. Coppi and D. J. Sigmar, Phys. Fluids 16: 1174 (1973).CrossRefGoogle Scholar
  12. 11.
    B. Coppi, Comments Plasma Phys. Controlled Fusion 5: 261 (1980).Google Scholar
  13. 12.
    Y-K. M. Peng, “Spherical Torus, Compact Fusion at Low Field,” Oak Ridge National Lab. Report ORNL/FEDC-84/7 (1985).Google Scholar
  14. 13.
    F. Troyon et al., Plasma Phys. Controlled Fusion 26: 209 (1984).CrossRefGoogle Scholar
  15. 14.
    A. Sykes et al., paper B23 in: “Controlled Fusion and Plasma Physics (Proceedings of the 11th European Conference, Aachen, September 1983),” Part II, paper B23, 363 (1983).Google Scholar
  16. 15.
    C. S. Chang and F. L. Hinton, Phys. Fluids 25: 1493 (1982).CrossRefGoogle Scholar
  17. 16.
    R. J. Goldston, Plasma Phys. Controlled Fusion 26: 87 (1984).CrossRefGoogle Scholar
  18. 17.
    E. P. Gorbunov, S. V. Mirnov, and V. S. Strelkov, Nucl. Fusion 10:43 (1.970).Google Scholar
  19. 18.
    S. M. Kaye and R. J. Goldston, Nucl. Fusion 25: 65 (1985).CrossRefGoogle Scholar
  20. 19.
    J. G. Cordey et al., p. 89 in: “Physics of Plasmas in Thermonuclear Regimes (Proceedings of the Varenna Workshop, 1979),” CONF-790866, U.S. Department of Energy (1981).Google Scholar
  21. 20.
    J. Sheffield, “Tokamak Startup-Problems and Scenarios Related to the Transient Phases of Ignited Tokamak Operations,” presented at the Erice School on Tokamak Startup, Erice, Sicily, July 14–20, 1985; proceedings to be published.Google Scholar
  22. 21.
    U.S. Tokamak Ignition Studies Design Teams are located at Massachusetts Institute of Technology (IGNITOR-A, LITE), Oak Ridge National Laboratory, the Oak Ridge National Laboratory Fusion Engineering Design Center, Princeton Plasma Physics Laboratory, and TRW.Google Scholar

Copyright information

© Springer Science+Business Media New York 1986

Authors and Affiliations

  • N. A. Uckan
    • 1
  • J. Sheffield
    • 1
  1. 1.Oak Ridge National LaboratoryOak RidgeUSA

Personalised recommendations