Vertical position control in TCV: comparison of model predictions with experimental results

Growth rates of the axisymmetric instability of elongated plasmas in TCV are measured, in open loop configuration, for a wide variety of plasma shapes with elongations and triangularities in the ranges 1.3 < κ < 2.2 and -0.3 < δ < 0.6, respectively, and for stability margins covering the range 1.03 < f < 1.60. In addition, the stability of the vertical position control system is investigated experimentally, under closed loop conditions, by varying the feedback gains and by measuring the oscillation frequencies close to the stability limit. The results of these measurements are compared with theoretical calculations, based on a rigid plasma model (RPM) and on a deformable plasma model (DPM). While RPM underestimates the open loop growth rate for large values of δ and overestimates the size of the stable domain in gain space, DPM gives very good agreement with the experimental results.

[1]  S. Jardin,et al.  Modelling of post-disruptive plasma loss in the Princeton Beta Experiment , 1987 .

[2]  A. A. Ivanov,et al.  Comparison of tokamak axisymmetric mode growth rates from linear MHD and equilibrium evolution approaches , 1997 .

[3]  J B Lister,et al.  On locating the poloidal field coils for tokamak vertical position control , 1996 .

[4]  Parag Vyas,et al.  Comparison of the CREATE-L plasma response model with TCV limited discharges , 1997 .

[5]  Hong,et al.  Higher Fusion Power Gain with Current and Pressure Profile Control in Strongly Shaped DIII-D Tokamak Plasmas. , 1996, Physical review letters.

[6]  R. Gruber,et al.  MHD-limits to plasma confinement , 1984 .

[7]  R. Gruber,et al.  Axisymmetric MHD stability of elongated tokamaks , 1978 .

[8]  J. Lister,et al.  Measurement of the open loop plasma equilibrium response in TCV , 1999 .

[9]  J. B. Lister,et al.  Vertical instability in TCV: Comparison of experimental and theoretical growth rates (post deadline paper) , 1996 .

[10]  Stephen C. Jardin,et al.  Feedback stabilization of rigid axisymmetric modes in tokamaks , 1982 .

[11]  Iter Confinement Database Energy confinement scaling and the extrapolation to ITER , 1997 .

[12]  Y. R. Martin,et al.  Feedback stabilization of axisymmetric modes in the TCV tokamak using active coils inside and outside the vacuum vessel , 1998 .

[13]  J. B. Lister,et al.  The Control of Tokamak Configuration Variable Plasmas , 1997 .

[14]  R. L. Miller,et al.  Shape optimization of tokamak plasmas to localized magnetohydrodynamic modes , 1979 .

[15]  R. Albanese,et al.  The linearized CREATE-L plasma response model for the control of current, position and shape in tokamaks , 1998 .

[16]  L. Bernard,et al.  MHD beta limits: scaling laws and comparison with Doublet III data , 1983 .

[17]  K. Yamazaki,et al.  Ballooning beta limits of Dee- and bean-shaped tokamaks , 1985 .

[18]  David A. Humphreys,et al.  Axisymmetric Magnetic Control Design in Tokamaks Using Perturbed Equilibrium Plasma Response Modeling , 1993 .

[19]  J. B. Lister,et al.  The separatrix response of diverted TCV plasmas compared with the predictions of the CREATE-L model , 1998 .

[20]  Teruaki Shoji,et al.  Stability limit of feedback control of vertical plasma position in the JFT-2M tokamak , 1987 .

[21]  M. R. Perrone,et al.  Stability of axisymmetric modes in JET , 1981 .

[22]  D. J. Ward,et al.  Calculations of axisymmetric stability of Tokamak plasmas with active and passive feedback , 1993 .

[23]  S. Jardin,et al.  Effects of plasma deformability on the feedback stabilization of axisymmetric modes in tokamak plasmas , 1992 .

[24]  J. B. Lister,et al.  Control of the vertical instability in tokamaks , 1990 .

[25]  F. Hofmann,et al.  Stability analysis of the vertical position control loop in TCV using rigid and deformable plasma models , 1998 .

[26]  G. Tonetti,et al.  Tokamak equilibrium reconstruction using Faraday rotation measurements , 1988 .

[27]  S. Horne,et al.  Comparison of Models to Experiment for the Purposes of Axisymmetric Control in Alcator C-Mod , 1996 .

[28]  D. J. Ward,et al.  Active feedback stabilization of axisymmetric modes in highly elongated tokamak plasmas , 1994 .