Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Decomposing magnetic field measurements into internally and externally sourced components in toroidal plasma devices

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.5067321· OSTI ID:1498665
 [1];  [2]
  1. ITER Organization, St. Paul Lez Durance (France); General Atomics, P.O. Box 85608, MS 13-102, San Diego, CA 92186-5608
  2. General Atomics, San Diego, CA (United States)
The magnetic field on any closed surface can be separated into the component produced by currents in the volume enclosed by the surface and the component produced by currents external to the surface. This decomposition was first discovered by Gauss in 1839, and “Gauss' Algorithm” was used to show that the terrestrial field is sourced from inside the Earth. This magnetic source-decomposition can be used in magnetic confinement fusion to distinguish plasma fields from the fields of external sources using standard magnetic measurements, when no conductors reside in the region between the plasma and the magnetic sensors (otherwise, the internal source is not the plasma alone). Gauss' Algorithm is extended from spherical geometry to cylindrical geometry to decompose fields in the cylindrical tokamak. Demonstrations of the decomposition on DIII-D discharges include the measurement of a rotating tearing mode separate from the induced wall eddy currents and the recovery of a vacuum measurement in the presence of an externally applied 3D field. Anticipated axisymmetric and non-axisymmetric applications, and the requisite diagnostics, are discussed. It is concluded that the ITER magnetic diagnostic design is well suited for many important axisymmetric and non-axisymmetric applications. Future work will extend this decomposition to include fields from halo currents and to generalize it to arbitrary toroidal geometries.
Research Organization:
General Atomics, San Diego, CA (United States); ITER Organization, St. Paul Lez Durance (France)
Sponsoring Organization:
ITER Organization (France); USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
Grant/Contract Number:
FC02-04ER54698
OSTI ID:
1498665
Journal Information:
Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 1 Vol. 26; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (22)

Separation of the Magnetic Field into External and Internal Parts journal July 2009
An integral equation technique for the exterior and interior neumann problem in toroidal regions journal September 1986
Distribution of the In-Vessel Diagnostics in ITER Tokamak journal January 2017
Ionospheric F region currents at middle and low latitudes estimated from Magsat data journal March 1997
Poloidal and toroidal fields in geomagnetic field modeling journal January 1986
Magnetic diagnostic system of the DIII-D tokamak journal February 2006
Computation of three-dimensional tokamak and spherical torus equilibria journal May 2007
Development of the ITER magnetic diagnostic set and specification journal October 2012
An upgrade of the magnetic diagnostic system of the DIII-D tokamak for non-axisymmetric measurements journal August 2014
Spatial and temporal analysis of DIII-D 3D magnetic diagnostic data journal August 2016
Feedback equations for the wall modes of a rotating plasma journal August 1999
Use of the virtual-casing principle in calculating the containing magnetic field in toroidal plasma systems journal September 1972
Interaction of tearing modes with external structures in cylindrical geometry (plasma) journal July 1993
Stabilization of resistive wall modes in ITER by active feedback and toroidal rotation journal January 2004
Effects of thick blanket modules on the resistive wall modes stability in ITER journal November 2010
Non-axisymmetric magnetic fields and toroidal plasma confinement journal January 2015
Electromagnetic wall torques from magnetically confined plasmas journal January 2001
Decoupling in the problem of tokamak plasma response to asymmetric magnetic perturbations journal August 2008
Linearly perturbed MHD equilibria and 3D eddy current coupling via the control surface method journal May 2008
Measurement of the electromagnetic torque in rotating DIII-D plasmas journal March 2010
The virtual-casing principle for 3D toroidal systems journal November 2012
Carl Friedrich Gauss – General Theory of Terrestrial Magnetism – a revised translation of the German text journal January 2014

Cited By (1)

First observation of plasma healing via helical equilibrium in tokamak disruptions journal July 2019

Similar Records

Efficient magnetic fields for supporting toroidal plasmas
Journal Article · Tue Mar 15 00:00:00 EDT 2016 · Physics of Plasmas · OSTI ID:22599045

Efficient magnetic fields for supporting toroidal plasmas
Journal Article · Mon Mar 14 20:00:00 EDT 2016 · Physics of Plasmas · OSTI ID:1470315