Calculation and interpretation of analytic high-beta poloidal equilibria in finite aspect ratio tokamaks

S. C. Hsu, M. Artun, S. C. Cowley

Research output: Contribution to journalArticle

15 Scopus citations

Abstract

The validity of the analytic large aspect ratio, high-β equilibria developed by Cowley et al. [Phys. Fluids B 3, 2066 (1991)] is extended to include finite aspect ratio equilibria with q2≫1, where q is the safety factor. These high-β equilibria have two regions. Most of the volume lies in the "core region," where ψ=ψ(R). The flux surfaces close in the "boundary layer region," which has thickness δ. The solutions are valid when δ/a∼ (√∈/βq2) is small, where a is the minor radius. Thus, finite ε is allowed when q2 is large. The equilibria are completely specified by the midplane profiles of pressure p(R) and poloidal magnetic field BP(R) and the shape of the plasma boundary, all of which can be measured experimentally. Note the departure from customary specification of p(ψ), q(ψ), or F(ψ). A fast numerical code, requiring a few seconds to execute, has been written to compute and illustrate the analytic high-β equilibria. The qualitative features of high-βp tokamaks are discussed in detail.

Original languageEnglish (US)
Pages (from-to)266-274
Number of pages9
JournalPhysics of Plasmas
Volume3
Issue number1
DOIs
StatePublished - Jan 1996
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

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