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Title: A power-balance model for local helicity injection startup in a spherical tokamak

Abstract

A 0D circuit model for predicting I p( t) in Local Helicity Injection (LHI) discharges is developed. Analytic formulas for estimating the surface flux of finite-A plasmas developed are modified and expanded to treat highly shaped, ultralow-A tokamak geometry using a database of representative equilibria. Model predictions are compared to sample LHI discharges in the A ~ 1 Pegasus spherical tokamak, and are found to agree within 15% of experimental I p( t). High performance LHI discharges are found to follow the Taylor relaxation current limit for approximately the first half of the current ramp, or I p ≲ 75 kA. The second half of the current ramp follows a limit imposed by power-balance as plasmas expand from high- A to ultralow- A. Here, this shape evolution generates a significant drop in external plasma inductance, effectively using the plasma’s initially high inductance to drive the current ramp and provide > 70% of the current drive V-s. Projections using this model indicate the relative influences of higher helicity input rate and injector current on the attainable total plasma current.

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Univ. of Wisconsin-Madison, Madison, WI (United States)
Publication Date:
Research Org.:
Univ. of Wisconsin-Madison, Madison, WI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
OSTI Identifier:
1456911
Grant/Contract Number:  
FG02-96ER54375; SC0006928
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Nuclear Fusion
Additional Journal Information:
Journal Volume: 58; Journal Issue: 7; Related Information: J.L. Barr, M.W. Bongard, M.G. Burke, R.J. Fonck, E.T. Hinson, J.M. Perry, and J.A. Reusch, "Public Data Set: A Power-Balance Model for Local Helicity Injection Startup in a Spherical Tokamak," DOI: 10.18138/1345037; Journal ID: ISSN 0029-5515
Publisher:
IOP Science
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; plasma startup; spherical tokamaks; current drive; helicity injection; Taylor relaxation; tokamaks

Citation Formats

Barr, Jayson L., Bongard, Michael W., Burke, Marcus G., Fonck, Raymond J., Hinson, Edward T., Perry, Justin M., and Reusch, Joshua A. A power-balance model for local helicity injection startup in a spherical tokamak. United States: N. p., 2018. Web. doi:10.1088/1741-4326/aac0a0.
Barr, Jayson L., Bongard, Michael W., Burke, Marcus G., Fonck, Raymond J., Hinson, Edward T., Perry, Justin M., & Reusch, Joshua A. A power-balance model for local helicity injection startup in a spherical tokamak. United States. doi:10.1088/1741-4326/aac0a0.
Barr, Jayson L., Bongard, Michael W., Burke, Marcus G., Fonck, Raymond J., Hinson, Edward T., Perry, Justin M., and Reusch, Joshua A. Tue . "A power-balance model for local helicity injection startup in a spherical tokamak". United States. doi:10.1088/1741-4326/aac0a0. https://www.osti.gov/servlets/purl/1456911.
@article{osti_1456911,
title = {A power-balance model for local helicity injection startup in a spherical tokamak},
author = {Barr, Jayson L. and Bongard, Michael W. and Burke, Marcus G. and Fonck, Raymond J. and Hinson, Edward T. and Perry, Justin M. and Reusch, Joshua A.},
abstractNote = {A 0D circuit model for predicting Ip(t) in Local Helicity Injection (LHI) discharges is developed. Analytic formulas for estimating the surface flux of finite-A plasmas developed are modified and expanded to treat highly shaped, ultralow-A tokamak geometry using a database of representative equilibria. Model predictions are compared to sample LHI discharges in the A ~ 1 Pegasus spherical tokamak, and are found to agree within 15% of experimental Ip(t). High performance LHI discharges are found to follow the Taylor relaxation current limit for approximately the first half of the current ramp, or Ip ≲ 75 kA. The second half of the current ramp follows a limit imposed by power-balance as plasmas expand from high-A to ultralow-A. Here, this shape evolution generates a significant drop in external plasma inductance, effectively using the plasma’s initially high inductance to drive the current ramp and provide > 70% of the current drive V-s. Projections using this model indicate the relative influences of higher helicity input rate and injector current on the attainable total plasma current.},
doi = {10.1088/1741-4326/aac0a0},
journal = {Nuclear Fusion},
issn = {0029-5515},
number = 7,
volume = 58,
place = {United States},
year = {2018},
month = {5}
}

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Works referencing / citing this record:

Public Data Set: Initiation and Sustainment of Tokamak Plasmas with Local Helicity Injection as the Majority Current Drive
dataset, July 2018

  • Perry, Justin; Bodner, Grant; Bongard, Michael
  • Pegasus-Supplementary information for journal article at DOI: https://doi.org/10.1088/1741-4326/aac72e, 1 file (17.1 MB)
  • DOI: 10.18138/1419641

Public Data Set: Radially Scanning Magnetic Probes to Study Local Helicity Injection Dynamics
dataset, July 2018

  • Richner, Nathan; Bongard, Michael; Fonck, Raymond
  • Pegasus-Supplementary information for journal article at DOI: 10.1063/1.5036527, 1 file (9.4 MB)
  • DOI: 10.18138/1432455

Public Data Set: Initiation and Sustainment of Tokamak Plasmas with Local Helicity Injection as the Majority Current Drive
dataset, July 2018

  • Perry, Justin; Bodner, Grant; Bongard, Michael
  • Pegasus-Supplementary information for journal article at DOI: https://doi.org/10.1088/1741-4326/aac72e, 1 file (17.1 MB)
  • DOI: 10.18138/1419641

Public Data Set: Radially Scanning Magnetic Probes to Study Local Helicity Injection Dynamics
dataset, July 2018

  • Richner, Nathan; Bongard, Michael; Fonck, Raymond
  • Pegasus-Supplementary information for journal article at DOI: 10.1063/1.5036527, 1 file (9.4 MB)
  • DOI: 10.18138/1432455