
TL;DR
This paper analyzes the Pfirsch-Schl"uter current in toroidal plasmas, showing how to minimize its effects by shaping magnetic field lines using specific coil configurations or a helical current in the central column.
Contribution
It demonstrates that matching the half-period crossing distances of magnetic field lines reduces the Pfirsch-Schl"uter current, proposing coil and current configurations to achieve this.
Findings
The Pfirsch-Schl"uter current is localized within a half period of a stellarator.
Matching the $ ext{ell}_{p/2}$ distances for all lines minimizes the current.
Using modular coils or a helical current in the central column can achieve this matching.
Abstract
The Pfirsch-Schl\"uter current is a current that flows along the magnetic field lines in a toroidal plasma equilibrium that is required to make the plasma current density divergence free in the presence of a plasma-pressure gradient. A distortion in the plasma shape is caused by the Pfirsch-Schl\"uter current, and it is desirable to minimize both the strength and the distance this current flows along the magnetic field lines. The Pfirsch-Schl\"uter current is localized within a half period of a stellarator when integrated over the half period is the same for all lines in the magnetic surface. It is shown that within parts in a thousand this is the same condition as the distance required for a field line to cross the half period being the same for all lines in the surface. To make the 's the same, the lines started on the small major radius side of the…
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