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Beta limits for torsatrons.

F Bauer¹, O Betancourt, P Garabedian

¹Courant Institute of Mathematical Sciences, New York University, New York, New York 10012.

Proceedings of the National Academy of Sciences of the United States of America

|January 1, 1981

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Ballooning modes in torsatrons are studied using magnetohydrodynamic simulations. Low wave number modes are most dangerous, determining stability limits for ultimate torsatrons.

Area of Science:

Plasma physics
Fusion energy research
Magnetohydrodynamics

Background:

Torsatrons are complex magnetic confinement devices for fusion energy.
Understanding plasma stability is crucial for achieving controlled fusion.
Ballooning modes can disrupt plasma confinement.

Purpose of the Study:

To investigate ballooning mode stability in torsatrons.
To determine the critical beta limits for equilibrium and stability.
To identify the most dangerous modes affecting torsatron performance.

Main Methods:

Utilizing an ideal magnetohydrodynamic (MHD) equilibrium and stability code.
Simulating ballooning modes in a specific [unk] = 2 ultimate torsatron configuration.
Analyzing modes with varying poloidal and toroidal wave numbers.

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Main Results:

The most unstable ballooning modes possess low poloidal and toroidal wave numbers.
Beta limits for equilibrium and stability were successfully determined.
The influence of [unk] = 1 and [unk] = 3 sidebands on stability was assessed.

Conclusions:

Low wave number ballooning modes pose the primary stability challenge in torsatrons.
The determined beta limits provide essential data for torsatron design.
Further research can refine stability predictions for advanced torsatron configurations.