Применение математического моделирования к управлению плазмой в токамаках
Диссертация
ИТЭР, где решение конструктивных вопросов было сильно увязано с возможностями системы управления параметрами плазмы, -предложенный подход к построению системы управления позволяет установить различные приоритеты на точность управления контролируемых параметров исходя из их важности для получения требуемых физических параметров плазмы, -уже на стадии проектирования системы управления возможно… Читать ещё >
Список литературы
- O.Gruber et. al., «Position and Shape Control on ASDEX Upgrade», Proc. 17th Symp. on Fusion Technology, Rome, 1992, p. 1042.
- D.A. Humphreys et. al., «Design of a Plasma Shape and Stability Control System for Advanced Tokamaks», Proc. 18th Symp. on Fusion Technology, Karlsruhe, 1994, p. 731.
- M.Garriba et. al., «First Operational Expirience with New Plasma Position and Current Control of JET», Proc. 18th Symp. on Fusion Technology, Karlsruhe, 1994, p. 747.
- M.Ono et al. Phys. Plasmas, 1997, No. 4, p. 799.
- A.C.Darke et al. Proceedings of the 16th Symposium on Fusion Energy, Sham-paign-Urbana, USA, 1995, vol. 2, p. 953−956.
- В.К.Гусев, В. Е. Голант, В. А. Беляков и др., ЖТФ, 1999, том. 69, вып. 9, стр. 58−62.
- E.T.Cheng, Y.K.M. Peng et al. Fusion Engineering and Design, 1998, No. 38, p. 219−255.
- ITER Technical Basis, ITER EDA Documentation Series No.24, IAEA, Vienna, 2002.
- Technical Basis for the ITER Detailed Design Report, Cost Review and Safety Analysis, ITER EDA Documentation Series No. 13, IAEA, Vienna, 1997, Chapter III, Section 5.0 Plasma Operation Scenario and Control, p.7.
- J.B. Lister et. Al. «Can better modelling improve tokamak control?», Proc. 36th IEEE CDC, San Diego, 1997, p. 3679−3684.
- D. O’Brien, J.J. Ellis, J. Lingertat, «Local Expansion Method for Fast Boundary Identification at JET', Nuclear Fusion 33,467,1993.
- Ferron J.R. et. al. «Real Time Equilibrium Reconstruction for Tokamak Discharge Control», Nuclear Fusion 38,1055, 1998.
- P.J. Mc Carthy et. al. «MHD Equilibrium Identification on ASDEX Upgrade», Proc. 19th EPS Conference on Controlled Fusion and Plasma Physics, Insbruck 1992, p. 455.
- M.L. Walker et. al. «Development of multivariable control techniques for use with the DIII-D plasma control system», Report General Atomic GA-A23151, June 1999.
- J.A. Leuer et. al. «Development of a Closed Loop Simulator for Poloidal Field Control in DIII-D», Proc. 18th IEEE/NPSS Symposium on Fusion Engineering, Albuquerque, New Mexico, October 1999, p 531−534.
- H. Ninomiya, K. Shinya, A. Kameari. «Optimization of Current in Field Shaping Coils of Non-Circular Tokamak», Proc. of the 8th Symp. on Engineering Problems of Fusion Research, (1979), p. 75.
- ITER Design Description Document DDD 4.7, Poloidal Field Control, App. A, «Poloidal Field Design», N47 DDD 3 96−10−18 W1.2, 1998.
- Y.Gribov, A. Kavin, S. Medvedev, A.Polevoi. «Steady State Scenarios with Weak Negative Shear: pN (no wall) and pN (ideal wall)», ITER IT report, N 19 IP 86 0405−17 F 1, Issue 1: 4 December 2002.
- Angoletta M.E. et al. «Real Time Control of Plasma Boundary in JET», Proc. 19th Symposium on Fusion Technology, Lisbon, Portugal, September 1996, p. 949.
- Garribba M. et al. «The new control scheme for the JET plasma position and current control system», XV EEE Symposium on Fusion Technology, Hyannis, USA, 1993, p.49−54.
- Treutterer W. et al. «Plasma Shape Control Design in ASDEX Upgrade», Proceedings of 19th Symposium on Fusion Technology, Lisbon, Portugal, September 1996, p. 933−936.
- Woyke W. et al. «Performance of the Equilibrium Control System for ASDEX Upgrade», Proceedings of 19th EPS Conference on Controlled Fusion and Plasma Physics, Innsbruck, 1992, p. 455.
- Krugger K. «Direct shaping of the reference input response for MIMO systems via output feedback», Proc. 1th IF AC Symposium of Design Methods of Control System, Zurich, 1991, p.
- Humpreys D. A., Walker M. L. General Atomic Report GA-A23321.
- Villone F. et. al., «Comparison of the Create-L Plasma Response Model with TCV Limited Discharges», Nuclear Fusion, 37(1997) 1395.
- I. Senda et. al. «Linear evolution of plasma equilibrium in tokamaks», Nuclear Fusion, 42(2002) 568−580.
- P.L. Mondino, M. Cavinato, Y. Gribov, A. Kavin, A. Portone. «Studies to increase the elongation in ITER», Proc. 21st Symp. of Fusion Technology, Madrid, Spain, 2000, p. 699−704.
- ITER IT documentation, Control System Design and Assessment, G 45 FDR 1 01−07−13 R1.0, Attachment to Appendix D, «Plasma Control Database», 2001.
- Lennholm M. et al. «Plasma Control at JET», Fusion Engineering and Design, August 2000, vol. 48, No. 1−2, p. 37−45.
- Humpreys D. A. et al. «Implementation of model based multivariable control on DIII-D», Proc. of 21st Symposium on Fusion Technology, September 2000, Madrid, Spain, p. 727−731.
- P.Barabaschi, «The Maxfea Code», Plasma Control Technical Meeting, Japan, 1993.
- Galkin S.A., Ivanov A.A., Medvedev S.Yu., Poshekhonov Yu.Yu., Nuclear Fusion, 1997, vol. 37, No. 10, p. 1455.
- V.A. Belyakov, S.A. Bulgakov, A.A. Kavin, Yu.A. Kostsov, E.N. Rumyantsev, S.A. Galkin, L.M. Degtyarev, A.A. Ivanov, Y.Y. Poshekhonov, V.A. Yagnov. «Numerical simulation of plasma equilibrium and shape control in tight tokamak
- GLOBUS-M», Proc. 19th Intern. Symposium On Fusion Technology (SOFT 96), Lisbon, Portugal, September 1996, p. 821−824.
- Jardin S.C., Pomphrey N., Delucia J.L., Сотр. Phys. 66, (1986) 481.
- R.R. Khayrutdinov, V.E. Lukash, «Studies of Plasma Equilibrium and Transport in a Tokamak Fusion Device with the Inverse-Variable Technique», Journal of Сотр. Physics 2, (1993) p. 106.
- Беляков В.А. Дисс. д. ф.-м. н., Санкт-Петербург, 2003.
- ITER IT documentation, Control System Design and Assessment, G 45 FDR 1 01−07−13 R1.0, Appendix D, «Plasma Current, Position and Shape Control», 2001.
- Шафранов В.Д., Атомная энергия, 1962, вып.13, стр. 521.
- Захаров JI.E., Шафранов В. Д. Вопросы теории плазмы (Под ред. Б.Б.Кадомцева), вып.11. М.: Энергоатомиздат, 1982.
- Bateman G. «MHD Instabilities», The MIT Press, Cambridge, Mass., 1978.
- S.W. Haney, J.P. Freidberg, Phys. Fluids В 1 (8) August 1989.
- Albanese R., Coccorese V., Rubinacci G., Nuclear Fusion, 1989, vol. 29, No.6.
- Belyakov V., Kavin A. «Derivation of the linear models for the analysis of the plasma current, position and shape control system in Tokamak devices». Proc. International Conference «Physics and Control», St.-Petersburg, August 2003, p. 1019−1024.
- Portone A. «Passive stabilization and stability margin of tokamak plasmas», ITER Report № 47 ip 8 99−08−31 W 01, Naka JWS, August 31 1999.
- Гантмахер Ф. P., Теория матриц, «Наука», 1966.
- Technical Basis for the ITER-FEAT Outline Design, ITER EDA Documentation Series No. 19, International Atomic Energy Agency, Vienna, 2000.
- Lazarus E., Lister J.B., Neilson G. H., «Control of Vertical Instabilities in Toka-maks», Nuclear Fusion, vol. 30, no. 1,1990.
- I. Senda, T. Shoji, T. Tsunematsu, T. Nishino, H. Fujieda. Nuclear Fusion, vol. 37, 1997, p. 1219.
- R. Albanese, R. Fresa, G. Rubinacci, F. Villone. «Time Evolution of Tokamak Plasma in the Presence of 3D Conducting Structures», IEEE Trans. Mag., Vol. 36, No. 4, (2000), pp. 1804−1807.
- W. Sandberg, «A Frequency-Domain Condition for the Stability of Feedback Systems Containing a Single Time-Varying Nonlinear Element,» Bell Syst. Tech. J., vol. 43, pp. 1601−1608, July, 1964.
- G. Zames, «On the Input-Output Stability of Time-Varying Nonlinear Feedback Systems,» Parts I and II, IEEE Trans. On Automatic Control, AC-11, 23, pp. 228 238,465−476, 1966.
- M.G. Safonov and M. Athans, «A Multiloop Generalization of the Circle Criterion for Stability Margin Analysis,» IEEE Trans. On Automatic Control, AC-26, 2, pp 415−422, April, 1981.
- M.G. Safonov, «Stability Margins of Diagonall Perturbed Multivariable Feedback systems,» IEE Proc., 129 (Pt.D), No 2, pp. 252−255, November, 1982.
- J.C. Doyle, «Analysis of Feedback Systems with Structured Uncertainties,» IEE Proc., 129 (Pt.D), No 6, pp. 242−250, November, 1982.
- Belyakov V.A., Rumyantsev E.N. et al. ITER Final Report of RF Home Team on Design Task D424−3: Plasma current, position and shape control. St. Petersburg, 2001.
- Barlett A.C., Hollot C.V., Huang L. Root locations of an entire polytope of polynomials: It suffices to check the edges. // Mathematics of Control, Signals and Systems. 1988-Vol. 1-p. 61−71.
- Barmish B.R., Kang H. I. New extreme point results for robust stability. // Control of uncertain dynamic systems.-S.:CPC Press, 1991-p. 461−470.
- Djaferis Т.Е., Hollot C.V. A Routh-like test for the stability of famikiesof polynomials with linear uncertainty. // Amer. Control Conf.-1989-Vol. 1-p. 639−644.
- Belyakov V.A., Kavin A.A. et al. Project of Spherical Tokamak Globus-M, Препринт ФТИ РАН, № 1629, Санкт Петербург, 1994.
- A.C.Darke et al. Proceedings of the 16th Symposium on Fusion Energy, Sham-paign-Urbana, USA, 1995, vol. 2, p. 953−956.
- Technical Basis for the ITER Final Design Report, Cost Review and Safety Analysis (FDR), ITER EDA Documentation Series No. 16, IAEA, Vienna, 1998.
- ITER Technical Basis, ITER EDA Documentation Series No.24, IAEA, Vienna, 2002.64. |i Analysis and synthesis toolbox: User’s guide/ G.J. Balas, J.C. Doyle, K. Glover et. al. The MathWorks Inc., 1995.
- V.A. Belyakov, A.A. Kavin, Yu.A. Kostsov, L.P. Makarova, E.N. Rumyantsev. «The poloidal fields control system of the Globus-M tokamak», Plasma Devices and Operations, 2001, vol. 9, p. 105−118.
- Doyle J. C., Francis B. A., Tannenbaum A. R. Feedback control theory.- New York- Toronto: Macmillan Publ. Co., 1992.
- Квакернаак X., СиванР. Линейные оптимальные системы управления. М.: Мир, 1977. 650 с.
- Лётов А. М. Аналитическое конструирование регуляторов, АН СССР. Автоматика и телемеханика. 1960, № 4−6- 1961, № 4,11.
- Model Predictive Control Toolbox: M. Morari, N.L. Ricker User’s guide/ The MathWorks Inc., 1995.
- Belyakov V.A., Kavin A.A. et al. ITER Final Report of RF Home Team on Design Task D324−3: Plasma current, position and shape control. St. Petersburg, 1998.
- Belyakov V., Kavin A., V. Kharitonov et al. Fusion Engineering and Design.1999. Vol. 45. p. 55−64.
- M. Cavinato, A. Kavin, V. Lukash, R. Khayrutdinov. «Non-linear simulations by numerical MHD equilibrium codes in ITER-FEAT», 9th IEEE International Conference on Control Applications, Anchorage, USA, September 2000, p. 406−411.
- Kavin A.A. «Plasma control with DINA simulations», ITER Design Task Review Meeting on plasma control, Garching, Germany, May, 2001.
- Y.Gribov, R. Albanese, G. Ambrosino, M. Ariola, R. Bulmer, M. Cavinato, E. Coccorese, H. Fujieda, A. Kavin et. al. «ITER-FEAT scenarios and plasma position/shape control», 18th IAEA Fusion Energy Conference, Sorrento, Italy, October 2000, ITERP/02.
- Y. Gribov, M. Cavinato, A. Kavin, R. Khayrutdinov, V. Lukash, P.L. Mondino. «Studies of ITER scenarios with DINA code», 28th EPS Conference on Controlled Fusion and plasma physics, Madeira Portugal, June 2001, P2.035.
- ITER IT documentation, Control System Design and Assessment, G 45 FDR 1 01−07−13 R1.0, Appendix F, «Resistive wall mode and their control», 2004.
- M.Okabayashi, et al., Physics of Plasma 8 (2001) 2071.
- ITER IT documentation, Control System Design and Assessment, G 45 FDR 1 01−07−13 R1.0, Appendix E, «Error Fields and their Correction», 2001.
- G.A.Navratil, J. Bialek, A. Boozer, O. Katsuro-Hopkins, «RWM Control in FIRE and ITER», Workshop on Active Control of MHD stability, University of Texas-Austin, 3−5 November 2003.
- Yueqiang Liu, A. Bondeson, Y. Gribov and A. Polevoi, «Stabilization of resistive wall modes in ITER by active feedback and toroidal rotation», Nucl. Fusion 44 (2004) 232
- M. Shimada, A. Polevoi, V. Mukhovatov, M. Sugihara, Y. Gribov, S. Medvedev, A.Kavin. «High Performance Operation in ITER», Proc. 30th EPS Conference on Controlled Fusion and Plasma Physics, Saint Petersburg, Russia, 2003, P-3.137.