Hain-Luest Equation with Toroidal Corrections.

摘要

Variational theory is used to derive a generalized Euler equation and a new energy functional which are convenient for analytical studies of ideal MHD stability in tokamaks. This generalized Euler equation, which is an explicit function of magnetic surface coordinate PSI only, represents an infinite set of equations coupled togehter by poloidal m mode coupling. In the infinite aspect ratio limit, the toroidal curvature and mode coupling terms disappear and an infinite set of uncoupled Euler equations for the diffuse linear pinch (Hain-Luest equation) for each m value result. The continuous spectrum is discussed for the circular toroidal case. In this case, the equations are specialized further to three modes, m, m-1, m+1 and in marginal stability limit reduce to known results. Analytically eliminating the m-1 and m+1 modes for arbitrary current profiles provides results on limiting beta poloidal for tokamaks. (Atomindex citation 10:485681)