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Release : 1991
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Book Synopsis An Analytic Solution of High. Beta. Equilibrium in a Large Aspect Ratio Tokamak by :

Download or read book An Analytic Solution of High. Beta. Equilibrium in a Large Aspect Ratio Tokamak written by . This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt: An analytic solution of the high? (?{bar?}{sub p} -?q2/? {much gt} 1) equilibrium of a large aspect ratio tokamak is presented. Two arbitrary flux functions, the pressure profile p and the safety factor profile q , specify the equilibrium. The solution splits into two asymptotic regions: the core region where? is a function of the major radius alone and a narrow boundary layer region adjoining the conducting wall. The solutions in the two regions are asymptotically matched to each other. For monotonic pressure profiles, the Shafranov shift is equal to the minor radius. For? much bigger than one, the solution contains a region (in place of the magnetic axis) of zero magnetic field and constant pressure. At high? the quantity?{sub I}, which is essentially proportional to the pressure over the total current squared, is largely independent of pressure. We discuss the important ramifications of limited?{sub I} for high? reactors. Generalizations to shaped cross sections and hollow pressure profiles are outlined. We also consider the problem of equilibrium reconstruction in the high {beta} regime. 8 refs., 7 figs.