Quick search Find article
Quick search
Find article

Influence of pressure-gradient and shear on ballooning stability in stellarators

S.R. Hudson1, C.C. Hegna2 and N. Nakajima3

Show affiliations


Pressure 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.


PACS

52.35.Py Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.)

52.55.Hc Stellarators, torsatrons, heliacs, bumpy tori, and other toroidal confinement devices

02.10.De Algebraic structures and number theory

Subjects

Mathematical physics

Plasma physics

Dates

Issue 4 (April 2005)

Received 9 December 2004, accepted for publication 15 February 2005

Published 23 March 2005



View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.