S.R. Hudson et al 2005 Nucl. Fusion 45 271 doi:10.1088/0029-5515/45/4/008
S.R. Hudson1, C.C. Hegna2 and N. Nakajima3
Show affiliationsPressure driven, ideal ballooning stability calculations are often used to predict the achievable plasma β in stellarator configurations. In this paper, the sensitivity of ballooning stability to plasmas profile variations is addressed. A simple, semi-analytic method for expressing the ballooning growth rate, for each field line, as a polynomial function of the variations in the pressure-gradient and the average magnetic shear from an original equilibrium has recently been introduced (Hudson and Hegna 2004 Phys. Plasmas 11 L53). This paper will apply the expression to various stellarator configurations and comment on the validity of various truncated forms of the polynomial expression. In particular, it is shown that it is generally insufficient to consider only the second order terms as previously assumed, and that higher order terms must be included to obtain accurate predictions of stability.
52.55.Hc Stellarators, torsatrons, heliacs, bumpy tori, and other toroidal confinement devices
Issue 4 (April 2005)
Received 9 December 2004, accepted for publication 15 February 2005
Published 23 March 2005
S.R. Hudson et al 2005 Nucl. Fusion 45 271
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