Scyllac Feedback Stabilization Experiments

Cantrell, E.L.; Ellis, W.R.; Freeman, B.L.; Gribble, R.F.; Gutscher, W.D.; Johnson, K.J.; Kutac, K.F.; Miller, G.; Quinn, W.E.

doi:10.1016/b978-0-08-020941-8.50012-3

Cited by 6 publications

(3 citation statements)

References 2 publications

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“…This sloshing equilibrium has proven to be very difficult to feedback-stabilize in the plane of the m = 1 oscillations, i.e. horizontal plane [11]. It should be noted that Eqs (27) predict similar difficulties with an £ = 1,2 equilibrium, owing to the coupling of the m = 1 and £ = 2 modes; it is, however, well known that oscillations such as £ = 2 are rapidly damped out by the Alfven continuum and therefore should not pose such a serious problem [12].…”

Section: Discussionmentioning

confidence: 99%

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A sharp-boundary dynamical model for a toroidal theta pinch

Seyler¹

1977

Nucl. Fusion

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A set of linear inhomogeneous time-dependent ordinary differential equations is derived to describe the dynamical interaction of the long-wavelength m = 1 instability with the stable oscillations to which it couples. The equations provide an algorithm for determining the plasma response to external feedback control fields. The method is based upon the new Scyllac ordering developed by Weitzner. The results agree with the steady-state equation of Ribe and Rosenbluth. The obtained m = 1 growth rates also agree with previous new-ordering results for a pure ℓ = 0 or ℓ = 2 system, but for a combined ℓ = 0 and ℓ = 2 system the equations have two distinct unstable eigenvalues corresponding to horizontal and vertical growth rates.

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Section: Discussionmentioning

confidence: 99%

“…) is a constraint relation between the compressible and incompressible parts of the m = 0 motion. Using Eqs(11) and (25) we can…”

mentioning

confidence: 99%

A sharp-boundary dynamical model for a toroidal theta pinch

Seyler¹

1977

Nucl. Fusion

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“…. experiments in Garching [3] and Los Alamos [4] suggest that this value of the critical ratio is too large by about a factor of two.…”

Section: Introductionmentioning

confidence: 97%

Finite-gyroradius effects on m = 1 and m = 2 instabilities of sharp-boundary screw pinches

Lewis

Turner

1976

Nucl. Fusion

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Recent numerical and analytical investigations of finite-ion-gyroradius effects in the context of the Vlasovfluid model are in good agreement with results of high-beta stellarator experiments. MHD-unstable m = 2 modes in near-theta-pinch devices, such as Scyllac, appear to be stabilized at an ion temperature at least four times smaller than believed previously. This conclusion makes wall stabilization of m = 1 modes more feasible.

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