scholarly journals Analysis of influences of pressure anisotropies on the 3D MHD equilibrium in LHD

2021 ◽  
Vol 28 (4) ◽  
pp. 042504
Author(s):  
T. Romba ◽  
Y. Suzuki ◽  
J. H. E. Proll
Keyword(s):  
Mhd Equilibrium

scholarly journals Hamiltonian Approach to Magnetic Fields with Toroidal Surfaces

1985 ◽  
Vol 40 (10) ◽  
pp. 959-967
Author(s):  
A. Salat
Keyword(s):  
Magnetic Field ◽  
Hamiltonian System ◽  
Magnetic Fields ◽  
Constant Pressure ◽  
Time Dependent ◽  
Hamiltonian Approach ◽  
One Dimensional ◽  
Mhd Equilibrium ◽  
Magnetic Surfaces ◽  
Rotational Transform

The equivalence of magnetic field line equations to a one-dimensional time-dependent Hamiltonian system is used to construct magnetic fields with arbitrary toroidal magnetic surfaces I = const. For this purpose Hamiltonians H which together with their invariants satisfy periodicity constraints have to be known. The choice of H fixes the rotational transform η(I). Arbitrary axisymmetric fields, and nonaxisymmetric fields with constant η(I) are considered in detail.Configurations with coinciding magnetic and current density surfaces are obtained. The approach used is not well suited, however, to satisfying the additional MHD equilibrium condition of constant pressure on magnetic surfaces.

scholarly journals Helical core tokamak MHD equilibrium states

2011 ◽  
Vol 53 (12) ◽  
pp. 124005 ◽  
Author(s):  
W A Cooper ◽  
J P Graves ◽  
O Sauter ◽  
J Rossel ◽  
M Albergante ◽  
...  
Keyword(s):  
Equilibrium States ◽  
Mhd Equilibrium

Toroidal plasma configuration with non-planar magnetic axis

1984 ◽  
Vol 32 (2) ◽  
pp. 179-196
Author(s):  
Hussain M. Rizk
Keyword(s):  
Cross Section ◽  
Ohmic Heating ◽  
Circular Cross Section ◽  
Magnetic Axis ◽  
Toroidal Plasma ◽  
Mhd Equilibrium ◽  
Special Cases ◽  
Magnetic Surfaces ◽  
Plasma Configuration ◽  
The Ideal

The ideal MHD equilibrium, stability, classical diffusion, effective thermal conductivity, and Ohmic heating of a zero-shear toroidal plasma configuration with a single non-planar magnetic axis of variable torsion and curvature are investigated. The plasma has a circular cross-section through which a longitudinal current density with arbitrary profile flows. In this type of magnetic configuration, the magnetic surfaces arbitrarily rotate around the magnetic axis. This magnetic toroidal configuration is of a stellarator type with a non-planar magnetic axis. The present work also covers as special cases tokamak and a magnetic toroidal plasma configuration with a magnetic axis of arbitrarily modulated curvature.

Plasma equilibrium in toroidal l = 3 stellarators

1980 ◽  
Vol 24 (3) ◽  
pp. 453-478 ◽  
Author(s):  
P. J. Fielding ◽  
W. N. G. Hitchon
Keyword(s):  
Magnetic Field ◽  
Aspect Ratio ◽  
Plasma Pressure ◽  
Large Aspect Ratio ◽  
Plasma Equilibrium ◽  
Density Profiles ◽  
Vertical Field ◽  
Mhd Equilibrium ◽  
Vacuum Fields

The equations of MHD equilibrium are solved by including plasma pressure and current in a large aspect-ratio ordering scheme for the calculation of toroidal, l = 3 stellarator vacuum fields. The extended ordering unifies the low-beta equilibrium theory for tokamaks and l = 3 stellarators, and allows solutions to be obtained simply for arbitrarily prescribed pressure and current density profiles. Expressions are given for the equilibrium magnetic field and the equation for the flux surfaces is calculated, including the effects of l = 3 shaping and toroidal displacement. These results are used to calculate equilibria for the parameters of CLEO stellarator, and we examine the role of an externally applied vertical field in reducing pressure-induced flux surface distortion and destruction.

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