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Title: Incorporating Beam Attenuation Calculations into an Integrated Data Analysis Model for Ion Effective Charge

Abstract

Here, we have created a forward model for charge-exchange impurity density measurements that incorporates neutral beam attenuation measurements self-consistently for the purpose of determining the ion-effective charge Zeff. The model is constructed within an integrated data analysis framework to include a self-consistent calculation of neutral beam attenuation due to multiple impurity species into the measurement of a single impurity density. The model includes measurements of the beam Doppler-shift spectrum and shine-through particle flux to determine the neutral beam particle density which is attenuated by ion collisions. Synthetic data are generated from the diagnostic forward model using statistical and calibration uncertainties. These “noisy” data are used in the analysis to evaluate how accurately Zeff is determined. Methods of experimental design are employed to calculate the information gained from different diagnostic combinations. The analysis shows that while attenuation measurements alone do not provide a unique impurity density measurement in the case of a multispecies inhomogeneous plasma, they do provide an effective measurement of the Zeff profile and place constraints on the impurity density profiles.

Authors:
ORCiD logo [1];  [1];  [1]
  1. Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics
Publication Date:
Research Org.:
Univ. of Wisconsin, Madison, WI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
OSTI Identifier:
1464931
Grant/Contract Number:  
FC02-05ER54814; SC0015474
Resource Type:
Accepted Manuscript
Journal Name:
Fusion Science and Technology
Additional Journal Information:
Journal Volume: 74; Journal Issue: 1-2; Journal ID: ISSN 1536-1055
Publisher:
American Nuclear Society
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Integrated data analysis; experimental design; ion-effective charge

Citation Formats

Nornberg, M. D., Den Hartog, D. J., and Reusch, L. M. Incorporating Beam Attenuation Calculations into an Integrated Data Analysis Model for Ion Effective Charge. United States: N. p., 2018. Web. doi:10.1080/15361055.2017.1387008.
Nornberg, M. D., Den Hartog, D. J., & Reusch, L. M. Incorporating Beam Attenuation Calculations into an Integrated Data Analysis Model for Ion Effective Charge. United States. https://doi.org/10.1080/15361055.2017.1387008
Nornberg, M. D., Den Hartog, D. J., and Reusch, L. M. Fri . "Incorporating Beam Attenuation Calculations into an Integrated Data Analysis Model for Ion Effective Charge". United States. https://doi.org/10.1080/15361055.2017.1387008. https://www.osti.gov/servlets/purl/1464931.
@article{osti_1464931,
title = {Incorporating Beam Attenuation Calculations into an Integrated Data Analysis Model for Ion Effective Charge},
author = {Nornberg, M. D. and Den Hartog, D. J. and Reusch, L. M.},
abstractNote = {Here, we have created a forward model for charge-exchange impurity density measurements that incorporates neutral beam attenuation measurements self-consistently for the purpose of determining the ion-effective charge Zeff. The model is constructed within an integrated data analysis framework to include a self-consistent calculation of neutral beam attenuation due to multiple impurity species into the measurement of a single impurity density. The model includes measurements of the beam Doppler-shift spectrum and shine-through particle flux to determine the neutral beam particle density which is attenuated by ion collisions. Synthetic data are generated from the diagnostic forward model using statistical and calibration uncertainties. These “noisy” data are used in the analysis to evaluate how accurately Zeff is determined. Methods of experimental design are employed to calculate the information gained from different diagnostic combinations. The analysis shows that while attenuation measurements alone do not provide a unique impurity density measurement in the case of a multispecies inhomogeneous plasma, they do provide an effective measurement of the Zeff profile and place constraints on the impurity density profiles.},
doi = {10.1080/15361055.2017.1387008},
journal = {Fusion Science and Technology},
number = 1-2,
volume = 74,
place = {United States},
year = {Fri Jan 19 00:00:00 EST 2018},
month = {Fri Jan 19 00:00:00 EST 2018}
}

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Works referenced in this record:

Probabilistic lithium beam data analysis
journal, June 2008


X-ray spectral modelling of the AGN obscuring region in the CDFS: Bayesian model selection and catalogue
journal, April 2014


Principles of Plasma Diagnostics
book, January 2009


High resolution charge-exchange spectroscopic measurements of aluminum impurity ions in a high temperature plasma
journal, December 2011


Attenuation measurement of an atomic hydrogen beam as a diagnostic technique to determine the light impurity content of a plasma
journal, July 1988

  • Hublet, M. -C; Wassenhove, G. van; Desoppere, E.
  • Plasma Physics and Controlled Fusion, Vol. 30, Issue 7
  • DOI: 10.1088/0741-3335/30/7/002

Validation of the ITER CXRS design by tests on TEXTOR
journal, October 2008

  • Jaspers, R. J. E.; von Hellermann, M. G.; Delabie, E.
  • Review of Scientific Instruments, Vol. 79, Issue 10
  • DOI: 10.1063/1.2979874

Improved spectral analysis for the motional Stark effect diagnostic
journal, October 2012

  • Ko, J.; Klabacha, J.
  • Review of Scientific Instruments, Vol. 83, Issue 10
  • DOI: 10.1063/1.4733546

Estimation of profiles of the effective ion charge at ASDEX Upgrade with Integrated Data Analysis
journal, August 2010


Potential of a Bayesian Integrated Determination of the Ion Effective Charge via Bremsstrahlung and Charge Exchange Spectroscopy in Tokamak Plasmas
journal, November 2010

  • Verdoolaege, Geert; Fischer, Rainer; Van Oost, Guido
  • IEEE Transactions on Plasma Science, Vol. 38, Issue 11
  • DOI: 10.1109/TPS.2010.2071884

Penetration of energetic neutral beams into fusion plasmas
journal, December 1989


An integrated charge exchange recombination spectroscopy/beam emission spectroscopy diagnostic for Alcator C-Mod tokamak
journal, October 2010

  • Bespamyatnov, I. O.; Rowan, W. L.; Liao, K. T.
  • Review of Scientific Instruments, Vol. 81, Issue 10
  • DOI: 10.1063/1.3475707

A Review of Charge-Exchange Spectroscopy and Applications to Fusion Plasmas
journal, May 1987


Plasma measurements from neutral‐beam attenuation
journal, August 1983

  • Foote, J. H.; Molvik, A. W.; Turner, W. C.
  • Review of Scientific Instruments, Vol. 54, Issue 8
  • DOI: 10.1063/1.1137504

Integrated data analysis of fusion diagnostics by means of the Bayesian probability theory
journal, October 2004

  • Fischer, R.; Dinklage, A.
  • Review of Scientific Instruments, Vol. 75, Issue 10
  • DOI: 10.1063/1.1787607

Classical confinement and outward convection of impurity ions in the MST RFP
journal, May 2012

  • Kumar, S. T. A.; Den Hartog, D. J.; Mirnov, V. V.
  • Physics of Plasmas, Vol. 19, Issue 5
  • DOI: 10.1063/1.4718310

Determination of Z eff by integrating measurements from x-ray tomography and charge exchange recombination spectroscopy
journal, November 2015


MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics
journal, October 2009


Impurity transport studies in the Madison Symmetric Torus reversed-field pinch during standard and pulsed poloidal current drive regimes
journal, May 2014


Probability Theory
book, January 2003


Integrated Data Analysis of Profile Diagnostics at ASDEX Upgrade
journal, October 2010

  • Fischer, R.; Fuchs, C. J.; Kurzan, B.
  • Fusion Science and Technology, Vol. 58, Issue 2
  • DOI: 10.13182/FST10-110

Probability Theory. By Henry E. KyburgJB . Pp. x, 294. 1969. (Prentice-Hall.)
journal, October 1970

  • Lindley, D. V.
  • The Mathematical Gazette, Vol. 54, Issue 389
  • DOI: 10.2307/3613841

Principles of Plasma Diagnostics
journal, January 1990


Works referencing / citing this record:

Using integrated data analysis to extend measurement capability (invited)
journal, October 2018

  • Reusch, L. M.; Nornberg, M. D.; Goetz, J. A.
  • Review of Scientific Instruments, Vol. 89, Issue 10
  • DOI: 10.1063/1.5039349