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Title: Bootstrap dependence on plasma profile parameters

Abstract

The bootstrap fraction, I{sub bs}/I{sub p}, and the shape of the bootstrap current density, J{sub bs}(r), can depend sensitively on the shape of the plasma profiles. Beginning with Hirshman`s form for the bootstrap current density, and making a large aspect ratio expansion (proceeding two orders in the square root of the inverse aspect ratio, {epsilon}), we derive an expression for the bootstrap fraction of the form I{sub bs}/I{sub p} = {epsilon}{sup {1/2}}{beta}{sub p}C{sub bs}({alpha}{sub n}, {alpha}{sub T}; {alpha}{sub J}, {Zeta}, {epsilon}) which depends explicitly on the peakedness of the density, temperature, and current. Examination of contours of constant I{sub bs}/I{sub p} in the space of {alpha}{sub n}, {alpha}{sub T} and consideration of the shape of the bootstrap current density help identify operating regimes for tokamaks which optimize bootstrap current drive.

Authors:
Publication Date:
Research Org.:
Princeton Univ., NJ (United States). Plasma Physics Lab.
Sponsoring Org.:
USDOE, Washington, DC (United States)
OSTI Identifier:
10167485
Report Number(s):
PPPL-2854
ON: DE92018963
DOE Contract Number:  
AC02-76CH03073
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: Aug 1992
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; TOKAMAK DEVICES; BOOTSTRAP CURRENT; CURRENT DENSITY; ASPECT RATIO; MAGNETIC FIELDS; 700350; PLASMA PRODUCTION, HEATING, CURRENT DRIVE, AND INTERACTIONS

Citation Formats

Pomphrey, N. Bootstrap dependence on plasma profile parameters. United States: N. p., 1992. Web. doi:10.2172/10167485.
Pomphrey, N. Bootstrap dependence on plasma profile parameters. United States. doi:10.2172/10167485.
Pomphrey, N. Sat . "Bootstrap dependence on plasma profile parameters". United States. doi:10.2172/10167485. https://www.osti.gov/servlets/purl/10167485.
@article{osti_10167485,
title = {Bootstrap dependence on plasma profile parameters},
author = {Pomphrey, N.},
abstractNote = {The bootstrap fraction, I{sub bs}/I{sub p}, and the shape of the bootstrap current density, J{sub bs}(r), can depend sensitively on the shape of the plasma profiles. Beginning with Hirshman`s form for the bootstrap current density, and making a large aspect ratio expansion (proceeding two orders in the square root of the inverse aspect ratio, {epsilon}), we derive an expression for the bootstrap fraction of the form I{sub bs}/I{sub p} = {epsilon}{sup {1/2}}{beta}{sub p}C{sub bs}({alpha}{sub n}, {alpha}{sub T}; {alpha}{sub J}, {Zeta}, {epsilon}) which depends explicitly on the peakedness of the density, temperature, and current. Examination of contours of constant I{sub bs}/I{sub p} in the space of {alpha}{sub n}, {alpha}{sub T} and consideration of the shape of the bootstrap current density help identify operating regimes for tokamaks which optimize bootstrap current drive.},
doi = {10.2172/10167485},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sat Aug 01 00:00:00 EDT 1992},
month = {Sat Aug 01 00:00:00 EDT 1992}
}

Technical Report:

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