3D equilibrium reconstruction with islands

Cianciosa, M.; Hirshman, S. P.; Seal, S. K.; Shafer, M. W.

doi:10.1088/1361-6587/aaaf90

Title: 3D equilibrium reconstruction with islands

Abstract

This study presents the development of a 3D equilibrium reconstruction tool and the results of the first-ever reconstruction of an island equilibrium. The SIESTA non-nested equilibrium solver has been coupled to the V3FIT 3D equilibrium reconstruction code. Computed from a coupled VMEC and SIESTA model, synthetic signals are matched to measured signals by finding an optimal set of equilibrium parameters. By using the normalized pressure in place of normalized flux, non-equilibrium quantities needed by diagnostic signals can be efficiently mapped to the equilibrium. The effectiveness of this tool is demonstrated by reconstructing an island equilibrium of a DIII-D inner wall limited L-mode case with an n = 1 error field applied. Finally, flat spots in Thomson and ECE temperature diagnostics show the reconstructed islands have the correct size and phase.

Authors:

^[1]; Hirshman, S. P. ^[1]; Seal, S. K. ^[1];

^[1]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Publication Date:: Thu Feb 15 00:00:00 EST 2018

Research Org.:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Fusion Energy Sciences (FES)

OSTI Identifier:: 1424449

Grant/Contract Number:: AC05-00OR22725; AC02-05CH11231; FG02-04ER54761; FC02-04ER54698

Resource Type:: Accepted Manuscript

Journal Name:: Plasma Physics and Controlled Fusion

Additional Journal Information:: Journal Volume: 60; Journal Issue: 4; Journal ID: ISSN 0741-3335

Publisher:: IOP Science

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; islands; equilibrium; reconstruction

Citation Formats


                    Cianciosa, M., Hirshman, S. P., Seal, S. K., and Shafer, M. W. 3D equilibrium reconstruction with islands.  United States: N. p., 2018. 
Web.  doi:10.1088/1361-6587/aaaf90.

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                    Cianciosa, M., Hirshman, S. P., Seal, S. K., & Shafer, M. W. 3D equilibrium reconstruction with islands.  United States.  https://doi.org/10.1088/1361-6587/aaaf90

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                    Cianciosa, M., Hirshman, S. P., Seal, S. K., and Shafer, M. W. Thu .  
"3D equilibrium reconstruction with islands".  United States.  https://doi.org/10.1088/1361-6587/aaaf90.  https://www.osti.gov/servlets/purl/1424449.

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@article{osti_1424449,

  title        = {3D equilibrium reconstruction with islands},

  author       = {Cianciosa, M. and Hirshman, S. P. and Seal, S. K. and Shafer, M. W.},

  abstractNote = {This study presents the development of a 3D equilibrium reconstruction tool and the results of the first-ever reconstruction of an island equilibrium. The SIESTA non-nested equilibrium solver has been coupled to the V3FIT 3D equilibrium reconstruction code. Computed from a coupled VMEC and SIESTA model, synthetic signals are matched to measured signals by finding an optimal set of equilibrium parameters. By using the normalized pressure in place of normalized flux, non-equilibrium quantities needed by diagnostic signals can be efficiently mapped to the equilibrium. The effectiveness of this tool is demonstrated by reconstructing an island equilibrium of a DIII-D inner wall limited L-mode case with an n = 1 error field applied. Finally, flat spots in Thomson and ECE temperature diagnostics show the reconstructed islands have the correct size and phase.},

  doi          = {10.1088/1361-6587/aaaf90},

  journal      = {Plasma Physics and Controlled Fusion},

  number       = 4,

  volume       = 60,

  place        = {United States},

  year         = {Thu Feb 15 00:00:00 EST 2018},

  month        = {Thu Feb 15 00:00:00 EST 2018}

}

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https://doi.org/10.1088/1361-6587/aaaf90

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Cited by: 6 works

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Figures / Tables:

FIG. 1.: T_e, n_e and SXR emission pro files are mapped to VMEC flux surfaces. These quantities are evaluated by con- verting the laboratory space position in to a flux surface space position (a). The radial flux surface position is used to eval- uate the profi le function $f$ (s)more »

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Works referenced in this record:

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Works referencing / citing this record:

Experimental observations of an n = 1 helical core accompanied by a saturated m / n = 2/1 tearing mode with low mode frequencies in JT-60U
journal, October 2019

Bando, T.; Matsunaga, G.; Takechi, M.
Plasma Physics and Controlled Fusion, Vol. 61, Issue 11
DOI: 10.1088/1361-6587/ab4612

Figures / Tables found in this record:

Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

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Similar Records

Title: 3D equilibrium reconstruction with islands

Abstract

Citation Formats

Figures / Tables:

Three dimensional equilibrium solutions for a current-carrying reversed-field pinch plasma with a close-fitting conducting shell journal, March 2016

Ray-tracing code TRAVIS for ECR heating, EC current drive and ECE diagnostic journal, January 2014

Reconstruction of current profile parameters and plasma shapes in tokamaks journal, November 1985

Equilibrium analysis of current profiles in tokamaks journal, June 1990

Non-axisymmetric equilibrium reconstruction of a current-carrying stellarator using external magnetic and soft x-ray inversion radius measurements journal, December 2015

Self-organized helical equilibria as a new paradigm for ohmically heated fusion plasmas journal, June 2009

MHD equilibrium reconstruction in the presence of correlated data journal, January 2006

Extension of the SIESTA MHD equilibrium code to free-plasma-boundary problems journal, August 2017

Internal kink mode dynamics in high-β NSTX plasmas journal, June 2005

Observations of sustained phase shifted magnetic islands from externally imposed m / n = 1/1 RMP in LHD journal, May 2017

Development of a new virtual diagnostic for V3FIT journal, December 2014

Use of reconstructed 3D VMEC equilibria to match effects of toroidally rotating discharges in DIII-D journal, October 2016

Helical equilibrium reconstruction with V3FIT in the RFX-mod Reversed Field Pinch journal, September 2013

Three-dimensional equilibrium reconstruction on the DIII-D device journal, January 2015

Reconstruction of the equilibrium of the plasma in a Tokamak and identification of the current density profile in real time journal, February 2012

Steepest-descent moment method for three-dimensional magnetohydrodynamic equilibria journal, January 1983

Investigation of island formation due to RMPs in DIII-D plasmas with the SIESTA resistive MHD equilibrium code journal, March 2016

SIESTA: A scalable iterative equilibrium solver for toroidal applications journal, June 2011

Physics issues of compact drift optimized stellarators journal, June 2001

Observation of m=1, n=1 oscillations following the injection of a fuel pellet into the Alcator C tokamak journal, May 1987

Sawtooth behaviour in highly elongated TCV plasmas journal, October 2006

Computation of zero β three-dimensional equilibria with magnetic islands journal, April 1990

Tokamak equilibrium reconstruction code LIUQE and its real time implementation journal, February 2015

Computation of multi-region relaxed magnetohydrodynamic equilibria journal, November 2012

Non-axisymmetric equilibrium reconstruction for stellarators, reversed field pinches and tokamaks journal, July 2013

Analytical solutions to the Grad–Shafranov equation for tokamak equilibrium with dissimilar source functions journal, September 1999

Helical core reconstruction of a DIII-D hybrid scenario tokamak discharge journal, May 2017

A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures journal, October 1970

V3FIT: a code for three-dimensional equilibrium reconstruction journal, July 2009

Persistent density perturbations at rational- q surfaces following pellet injection in the Joint European Torus journal, November 1987

Tungsten as target material in fusion devices journal, June 1996

Snake-like phenomena in Tore Supra following pellet injection journal, April 1997

Single helicity: a new paradigm for the reversed field pinch journal, December 2000

A comparison of sawtooth oscillations in bean and oval shaped plasmas journal, July 2006

Single-Helical-Axis States in Reversed-Field-Pinch Plasmas journal, July 2008

Development and application of HINT2 to helical system plasmas journal, September 2006

PARVMEC: An Efficient, Scalable Implementation of the Variational Moments Equilibrium Code conference, August 2016

Reconstruction of the equilibrium of the plasma in a Tokamak and identification of the current density profile in real time preprint, January 2009

Computation of multi-region relaxed magnetohydrodynamic equilibria text, January 2012

Experimental observations of an n = 1 helical core accompanied by a saturated m / n = 2/1 tearing mode with low mode frequencies in JT-60U journal, October 2019

Three dimensional equilibrium solutions for a current-carrying reversed-field pinch plasma with a close-fitting conducting shell
journal, March 2016

Ray-tracing code TRAVIS for ECR heating, EC current drive and ECE diagnostic
journal, January 2014

Reconstruction of current profile parameters and plasma shapes in tokamaks
journal, November 1985

Equilibrium analysis of current profiles in tokamaks
journal, June 1990

Non-axisymmetric equilibrium reconstruction of a current-carrying stellarator using external magnetic and soft x-ray inversion radius measurements
journal, December 2015

Self-organized helical equilibria as a new paradigm for ohmically heated fusion plasmas
journal, June 2009

MHD equilibrium reconstruction in the presence of correlated data
journal, January 2006

Extension of the SIESTA MHD equilibrium code to free-plasma-boundary problems
journal, August 2017

Internal kink mode dynamics in high-β NSTX plasmas
journal, June 2005

Observations of sustained phase shifted magnetic islands from externally imposed m / n = 1/1 RMP in LHD
journal, May 2017

Development of a new virtual diagnostic for V3FIT
journal, December 2014

Use of reconstructed 3D VMEC equilibria to match effects of toroidally rotating discharges in DIII-D
journal, October 2016

Helical equilibrium reconstruction with V3FIT in the RFX-mod Reversed Field Pinch
journal, September 2013

Three-dimensional equilibrium reconstruction on the DIII-D device
journal, January 2015

Reconstruction of the equilibrium of the plasma in a Tokamak and identification of the current density profile in real time
journal, February 2012

Steepest-descent moment method for three-dimensional magnetohydrodynamic equilibria
journal, January 1983

Investigation of island formation due to RMPs in DIII-D plasmas with the SIESTA resistive MHD equilibrium code
journal, March 2016

SIESTA: A scalable iterative equilibrium solver for toroidal applications
journal, June 2011

Physics issues of compact drift optimized stellarators
journal, June 2001

Observation of m=1, n=1 oscillations following the injection of a fuel pellet into the Alcator C tokamak
journal, May 1987

Sawtooth behaviour in highly elongated TCV plasmas
journal, October 2006

Computation of zero β three-dimensional equilibria with magnetic islands
journal, April 1990

Tokamak equilibrium reconstruction code LIUQE and its real time implementation
journal, February 2015

Computation of multi-region relaxed magnetohydrodynamic equilibria
journal, November 2012

Non-axisymmetric equilibrium reconstruction for stellarators, reversed field pinches and tokamaks
journal, July 2013

Analytical solutions to the Grad–Shafranov equation for tokamak equilibrium with dissimilar source functions
journal, September 1999

Helical core reconstruction of a DIII-D hybrid scenario tokamak discharge
journal, May 2017

A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures
journal, October 1970

V3FIT: a code for three-dimensional equilibrium reconstruction
journal, July 2009

Persistent density perturbations at rational- q surfaces following pellet injection in the Joint European Torus
journal, November 1987

Tungsten as target material in fusion devices
journal, June 1996

Snake-like phenomena in Tore Supra following pellet injection
journal, April 1997

Single helicity: a new paradigm for the reversed field pinch
journal, December 2000

A comparison of sawtooth oscillations in bean and oval shaped plasmas
journal, July 2006

Single-Helical-Axis States in Reversed-Field-Pinch Plasmas
journal, July 2008

Development and application of HINT2 to helical system plasmas
journal, September 2006

PARVMEC: An Efficient, Scalable Implementation of the Variational Moments Equilibrium Code
conference, August 2016

Reconstruction of the equilibrium of the plasma in a Tokamak and identification of the current density profile in real time
preprint, January 2009

Computation of multi-region relaxed magnetohydrodynamic equilibria
text, January 2012

Experimental observations of an n = 1 helical core accompanied by a saturated m / n = 2/1 tearing mode with low mode frequencies in JT-60U
journal, October 2019