Stability of m=1 Mode in the Presence of m=0 Perturbation in Reversed Field Pinch

Abstract

Stability of the m=1 mode is examined in the presence of external m=0 perturbations, i.e., toroidal field ripple arising from the discreteness of toroidal coils. Response of the plasma is taken into account self-consistently using the Bessel Function Model. The Δ′ criterion and energy principle are applied to the system and the stability of the m=1 resistive and ideal modes is shown to be improved by reducing the toroidal ripple.