Theory of ballooning modes in tokamaks with finite shear

Technical Report · Wed Jun 01 04:00:00 EDT 1977

DOI:https://doi.org/10.2172/5115796· OSTI ID:5115796

Dobrott, D.; Nelson, D. B.; Greene, J. M.; Glasser, A. H.; Chance, M. S.; Frieman, E. A.

Ballooning instabilities are studied in tokamaks of arbitrary cross section and finite shear. These azimuthally localized ideal MHD modes have large toroidal mode numbers, but finite variation along the field and across the flux surfaces. Stability is determined by solving a second-order ordinary differential equation on each flux surface, subject to the proper boundary conditions. Qualitative agreement is achieved with the Princeton PEST stability code.

• Research Organization: General Atomic Co., San Diego, CA (USA)
• DOE Contract Number: AT03-76ET51011
• OSTI ID: 5115796
• Report Number(s): GA-A-14443
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107* -- Fusion Energy-- Plasma Research-- Instabilities
ANALYTICAL SOLUTION
BALLOONING INSTABILITY
BOUNDARY CONDITIONS
CLOSED PLASMA DEVICES
DIFFERENTIAL EQUATIONS
EQUATIONS
INSTABILITY
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
SHEAR
THERMONUCLEAR DEVICES
TOKAMAK DEVICES