Abstract:Articles you may be interested inMeasurements of the internal magnetic field using the B-Stark motional Stark effect diagnostic on DIII-D (invited)a) Rev. Sci. Instrum. 81, 10D729 (2010); 10.1063/1.3491209Motional Stark effect diagnostic expansion on DIII-D for enhanced current and E r profile measurements Rev.Motional Stark effect polarimetry for a current profile diagnostic in DIIID (abstract) Rev. Sci.The motional electric field E= v x B, where v is the velocity and B is the tokamak magnetic field, produces… Show more
“…(24) where c, ..., c9 are a set of coefficients for each channel relating the local components of electric field (E r and E z ), the radial, vertical and toroidal components of magnetic field (b r , b z and b φ ) and diagnostic beam velocity, vbeam [28,47,48]. The components of the poloidal magnetic field at the centre of the measurement volume are also evaluated by a matrix-vector multiplication using pre-calculated Green's functions.…”
The pre-emptive stabilization of a neoclassical tearing mode, NTM, requires the calculation of the tokamak magnetic equilibrium in real-time. A launcher mirror is positioned to deposit electron cyclotron current drive on the rational surface where the NTM should appear. A real-time Grad-Shafranov solver using constraints from magnetic probe, flux loop and Motional Stark Effect measurements has been developed to locate these rational surfaces and deliver this information to the mirror controller in real-time. A novel algorithm significantly reduces the number of operations required in the first and second step of the solver. Contour integrals are carried out to calculate the q profile as a function of normalized radius and the rational surfaces are found by spline interpolation. A cycle time of 0.6 ms for calculating two tokamak equilibria in parallel using four current basis functions with magnetic constraints only and using six current basis functions with magnetic and MSE constraints has been achieved. Using these tools, pre-emptive stabilization
“…(24) where c, ..., c9 are a set of coefficients for each channel relating the local components of electric field (E r and E z ), the radial, vertical and toroidal components of magnetic field (b r , b z and b φ ) and diagnostic beam velocity, vbeam [28,47,48]. The components of the poloidal magnetic field at the centre of the measurement volume are also evaluated by a matrix-vector multiplication using pre-calculated Green's functions.…”
The pre-emptive stabilization of a neoclassical tearing mode, NTM, requires the calculation of the tokamak magnetic equilibrium in real-time. A launcher mirror is positioned to deposit electron cyclotron current drive on the rational surface where the NTM should appear. A real-time Grad-Shafranov solver using constraints from magnetic probe, flux loop and Motional Stark Effect measurements has been developed to locate these rational surfaces and deliver this information to the mirror controller in real-time. A novel algorithm significantly reduces the number of operations required in the first and second step of the solver. Contour integrals are carried out to calculate the q profile as a function of normalized radius and the rational surfaces are found by spline interpolation. A cycle time of 0.6 ms for calculating two tokamak equilibria in parallel using four current basis functions with magnetic constraints only and using six current basis functions with magnetic and MSE constraints has been achieved. Using these tools, pre-emptive stabilization
“…The noninductive current profiles have been measured during three times intervals (1.5 to 2.5 sec, 2.5 to 3.5 sec, 3.5 to 4.5 sec) for each shot in this study. Magnetic reconstructions of the MHD equilibria are found using the code EFIT, constrained by 16 internal measurements of the poloidal field radial profile by motional Stark effect spectroscopy and by external magnetic probes [10,11]. For each time interval the loop voltage profile is calculated from time derivatives of the poloidal flux, and a time-averaged current density profile is calculated [12].…”
Profiles of noninductive current driven by neutral beam injection into a tokamak have been measured and compared with theory. The driven current can be less than the theoretical prediction ( by up to 80%) in the presence of islands driven by tearing modes. [S0031-9007(97)
“…Central to this technique is the determination of the current density profile j(p) from measurements and equilibrium reconstructions [5] gives a measurement at a fixed point.…”
The noninductive part of the measured current profile has been determined for DIII-D plasmas. A technique for determining the flux surface average of the quantity K~B and a model for the resistivity separates the current profile into inductive and noninductive portions. Analysis (1) where the cylindrical coordinate system (R, Z, @) is used, P = -fo BzR'dR' is the total poloidal flux per radian inside a major radius R, and F(p) = RB~. Furthermore, it is assumed that toroidally symmetric, nested fiux surfaces exist and can be labeled by either i/I or the en- gives a measurement at a fixed point.In a general toroidal geometry, the equation relating the current density to the electric field is (i B) = n '(E B) + (iNi B), (2) where (A) is the flux surface average of A, 71 is the parallel resistivity, and jNi represents any sources of noninductive current drive (including both bootstrap current and auxiliary driven currents). The flux surface average of the quantity (E B) can be shown to be [6] (E B) =
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