Shaping effects of the E-fishbone in tokamaks are investigated. Coordinates related to the Solov＇ev configuration are used to calculate the precession frequency and kinetic contribu- tion. It is shown that elongation...Shaping effects of the E-fishbone in tokamaks are investigated. Coordinates related to the Solov＇ev configuration are used to calculate the precession frequency and kinetic contribu- tion. It is shown that elongation does not change the precession frequency and the kinetic energy. Growth rates of the E-fishbone vary with elongation which essentially has destabilizing effects. For elongated tokamaks, triangularity has a stabilizing effect on the modes which play a compensative role. The results may apply to Sunist.展开更多
Solov＇ev type analytic equilibria of toroidally axi-symmetric plasmas are extended to include the anisotropic pressure and parallel flow effect. It is shown that the combined effects of the parallel flow and the anis...Solov＇ev type analytic equilibria of toroidally axi-symmetric plasmas are extended to include the anisotropic pressure and parallel flow effect. It is shown that the combined effects of the parallel flow and the anisotropic pressure can be added to give a modified Grad-Shafranov equation. Effects of the anisotropic pressure and the parallel flow on the equilibrium＇s properties such as the safety factor and the magnetic well are clarified. The most prominent characteristic of these two effects is the deviations of both the p//-contours and the p⊥-contours from the magnetic flux contours.展开更多
Analytical solutions of the Grad-Shafranov equation are always useful because of their convenience and accuracy in theoretical study of stability, transport and kinetic analysis. For the quasi-uniform toroidal current...Analytical solutions of the Grad-Shafranov equation are always useful because of their convenience and accuracy in theoretical study of stability, transport and kinetic analysis. For the quasi-uniform toroidal current density case, the so-called Solov＇ev configuration is the earliest one that was widely used for the magnetohydrodynamic （MHD） stability analysis and also used as benchmark for equilibrium code studies later.展开更多
基金supported by National Natural Science Foundation of China (Nos. 11261140327, 11005035, 11175058)National Magnetic Confinement Fusion Science Program of China (No. 2009GB105002)
文摘Shaping effects of the E-fishbone in tokamaks are investigated. Coordinates related to the Solov＇ev configuration are used to calculate the precession frequency and kinetic contribu- tion. It is shown that elongation does not change the precession frequency and the kinetic energy. Growth rates of the E-fishbone vary with elongation which essentially has destabilizing effects. For elongated tokamaks, triangularity has a stabilizing effect on the modes which play a compensative role. The results may apply to Sunist.
基金supported by National Natural Science Foundation of China (NO. 10375018)
文摘Solov＇ev type analytic equilibria of toroidally axi-symmetric plasmas are extended to include the anisotropic pressure and parallel flow effect. It is shown that the combined effects of the parallel flow and the anisotropic pressure can be added to give a modified Grad-Shafranov equation. Effects of the anisotropic pressure and the parallel flow on the equilibrium＇s properties such as the safety factor and the magnetic well are clarified. The most prominent characteristic of these two effects is the deviations of both the p//-contours and the p⊥-contours from the magnetic flux contours.
基金Supported by the National Natural Science Foundation of China （10375018）
文摘Analytical solutions of the Grad-Shafranov equation are always useful because of their convenience and accuracy in theoretical study of stability, transport and kinetic analysis. For the quasi-uniform toroidal current density case, the so-called Solov＇ev configuration is the earliest one that was widely used for the magnetohydrodynamic （MHD） stability analysis and also used as benchmark for equilibrium code studies later.
