High-(Alpha) Equilibria of Plasmas in the Quasi-Uniform Current Model: Influence of Shaping the Plasma Cross-Section and of the Second Order N the Inverse Aspect Ratio

摘要

Toroidal plasma equilibria in the high-(ALPHA) ordering in the quasuniform current model, varying the shape of the poloidal plasma cross-section were analyzed. The effect of the second order in an expansion in the inverse aspect ratio was determined for a plasma with elliptic cross section. Analytical representation of curves with a shape deviating from an ellipse (e.g., racetrack, triangle, rectangle) enabled the treatment of high-(ALPHA) equilibria of plasmas with the curves as polodial cross-section. A smooth current profile or a flat plasma cross-section allow higher values of (ALPHA) sub(p) than a skin current or a vertically pointed cross-section. The D-shaping also improves the equilibrium (ALPHA) sub(p), especially at higher values of the ellipticity. It is concluded that the method of cross-section shaping allows the extension to higher mode harmonic contributions.