The theory of stabilization of sawtooth oscillations in TFTR supershots

A theoretical concept of onset and stabilization of sawtooth oscillations in tokamaks is formulated based on the analysis of supershots in the Tokamak Fusion Test Reactor (TFTR). While the linear theory, which includes the ideal m = 1 mode, contradicts the experimental data, the criterion of {omega}*-stabilization of the collisionless m = 1 reconnection mode determines an operational space for the sawtooth-free phase in TFTR.