MHD equilibrium reconstruction in the presence of correlated data

2006 ◽  
Vol 46 (2) ◽  
pp. 335-349 ◽  
Author(s):  
Christopher S Jones ◽  
John M Finn
Keyword(s):  
Correlated Data ◽  
Mhd Equilibrium ◽  
Equilibrium Reconstruction

scholarly journals MHD Equilibrium Reconstruction Using the Visible Light Tomographic Method with Laplacian Eigenfunction

2021 ◽  
Vol 16 (0) ◽  
pp. 2402090-2402090
Author(s):  
Kosuke SUZUKI ◽  
Sadayoshi MURAKAMI ◽  
Satoshi OHDACHI ◽  
Hiroshi IDEI ◽  
Kengoh KURODA ◽  
...  
Keyword(s):  
Visible Light ◽  
Mhd Equilibrium ◽  
Equilibrium Reconstruction ◽  
Tomographic Method

MHD Equilibrium Reconstruction in the DIII-D Tokamak

2005 ◽  
Vol 48 (2) ◽  
pp. 968-977 ◽  
Author(s):  
L. L. Lao ◽  
H. E. St. John ◽  
Q. Peng ◽  
J. R. Ferron ◽  
E. J. Strait ◽  
...  
Keyword(s):  
Mhd Equilibrium ◽  
Equilibrium Reconstruction

Quadratic Discriminant Analysis of Spatially Correlated Data

2001 ◽  
Vol 6 (2) ◽  
pp. 15-28 ◽  
Author(s):  
K. Dučinskas ◽  
J. Šaltytė
Keyword(s):  
Discriminant Function ◽  
Error Rate ◽  
Gaussian Random Field ◽  
Correlated Data ◽  
Covariance Matrices ◽  
Classification Rule ◽  
Spatial Correlations ◽  
Linear Quadratic ◽  
Spatial Correlation Function ◽  
Spatially Correlated

The problem of classification of the realisation of the stationary univariate Gaussian random field into one of two populations with different means and different factorised covariance matrices is considered. In such a case optimal classification rule in the sense of minimum probability of misclassification is associated with non-linear (quadratic) discriminant function. Unknown means and the covariance matrices of the feature vector components are estimated from spatially correlated training samples using the maximum likelihood approach and assuming spatial correlations to be known. Explicit formula of Bayes error rate and the first-order asymptotic expansion of the expected error rate associated with quadratic plug-in discriminant function are presented. A set of numerical calculations for the spherical spatial correlation function is performed and two different spatial sampling designs are compared.

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.

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