Inverse aspect-ratio expanded tokamak equilibria

Fitzpatrick, R.

doi:10.1063/5.0215345

Inverse aspect-ratio expanded tokamak equilibria

Journal Article · Fri Aug 09 00:00:00 EDT 2024 · Physics of Plasmas

DOI:https://doi.org/10.1063/5.0215345· OSTI ID:2567887

^[1]

University of Texas at Austin, TX (United States)

Following Greene et al. [Phys. Fluids 14, 671 (1971)] and Connor et al. [Phys. Plasmas 31, 577 (1988); Plasma Phys. Control. Fusion 34, 161 (1992); and Nucl. Fusion 33, 1533 (1993)], the Grad-Shafranov equation for an axisymmetric tokamak plasma equilibrium is solved via an expansion in the, supposedly small, inverse aspect-ratio of the plasma, ϵ. The displacements of equilibrium magnetic flux-surfaces due to plasma shaping are assumed to be $$\mathcal{O}$$(ϵ) smaller than the minor radii of the surfaces, but no other restriction is placed on the nature of the shaping. The solution of the Grad-Shafranov equation is matched to a vacuum solution that extends to infinity, and consists of an expansion in toroidal functions. The external poloidal magnetic field generated by a finite set of discrete external poloidal magnetic field-coils is calculated, and incorporated into the toroidal function expansion. In this manner, the shape of a large aspect-ratio tokamak plasma is directly related to the currents flowing in the external poloidal field-coils. Finally, a pedestal in the plasma pressure, and the associated spike in the bootstrap current, are incorporated into the model.

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Research Organization:: The University of Texas at Austin, TX (United States); University of Texas at Austin, TX (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Grant/Contract Number:: FG02-04ER54742; SC0021156

OSTI ID:: 2567887

Alternate ID(s):: OSTI ID: 2428397
OSTI ID: 2997732

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 8 Vol. 31; ISSN 1070-664X; ISSN 1089-7674

Publisher:: AIP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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