skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Two-fluid burning-plasma analysis for magnetic confinement fusion devices

Abstract

The two-fluid, Lawson-type ignition model of (Guazzotto and Betti 2017 Phys. Plasmas 24 082504) for nuclear fusion concepts is extended to burning-plasmas. Numerical estimates for the Lawson product $${p}_{{\rm{tot}}}{\tau }_{{Ei}}$$ are obtained for different values of the gain factor Q and different plasma conditions. Namely, different assumptions are made for the various energy confinement times in the model and different density and temperature profiles are considered. It is found that it is easier to reach the burning plasma condition with peaked profiles. A technique for comparing pure-deuterium (DD) 'equivalent' experimental discharges with the predictions of our model for deuterium–tritium (DT) burning plasma discharges is described. This is done through the introduction of 'no - α' quantities using a procedure similar to the one used in inertial confinement fusion. Using tokamaks as a meaningful example, an experimental fit for the energy confinement time is introduced in the calculations and shown to have a considerable effect on the results, qualitatively changing the thermal stability of the system and the equivalent Lawson product estimates of pure deuterium plasmas. Moreover, if the energy confinement time depends on the heating power as in experimental scalings, the equivalent $${p}_{{\rm{tot}}}{\tau }_{{Ei}}$$ in DD discharges is higher than the corresponding $${p}_{{\rm{tot}}}{\tau }_{{Ei}}$$ in a DT plasma.

Authors:
ORCiD logo [1];  [2]
  1. Auburn Univ., AL (United States). Dept. of Physics
  2. Univ. of Rochester, NY (United States). Dept. of Physics and Astronomy
Publication Date:
Research Org.:
Univ. of Rochester, Rochester, NY (United States) Laboratory for Laser Energetics; Auburn Univ., AL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
OSTI Identifier:
1559447
Alternate Identifier(s):
OSTI ID: 1594949
Report Number(s):
2018-263, 1415, 2476
Journal ID: ISSN 0741-3335; 2018-263, 1515, 2476
Grant/Contract Number:  
FG02-93ER54215; Sc0014196
Resource Type:
Accepted Manuscript
Journal Name:
Plasma Physics and Controlled Fusion
Additional Journal Information:
Journal Volume: 61; Journal Issue: 8; Journal ID: ISSN 0741-3335
Publisher:
IOP Science
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Guazzotto, L., and Betti, R. Two-fluid burning-plasma analysis for magnetic confinement fusion devices. United States: N. p., 2019. Web. doi:10.1088/1361-6587/ab2b22.
Guazzotto, L., & Betti, R. Two-fluid burning-plasma analysis for magnetic confinement fusion devices. United States. doi:10.1088/1361-6587/ab2b22.
Guazzotto, L., and Betti, R. Fri . "Two-fluid burning-plasma analysis for magnetic confinement fusion devices". United States. doi:10.1088/1361-6587/ab2b22. https://www.osti.gov/servlets/purl/1559447.
@article{osti_1559447,
title = {Two-fluid burning-plasma analysis for magnetic confinement fusion devices},
author = {Guazzotto, L. and Betti, R.},
abstractNote = {The two-fluid, Lawson-type ignition model of (Guazzotto and Betti 2017 Phys. Plasmas 24 082504) for nuclear fusion concepts is extended to burning-plasmas. Numerical estimates for the Lawson product ${p}_{{\rm{tot}}}{\tau }_{{Ei}}$ are obtained for different values of the gain factor Q and different plasma conditions. Namely, different assumptions are made for the various energy confinement times in the model and different density and temperature profiles are considered. It is found that it is easier to reach the burning plasma condition with peaked profiles. A technique for comparing pure-deuterium (DD) 'equivalent' experimental discharges with the predictions of our model for deuterium–tritium (DT) burning plasma discharges is described. This is done through the introduction of 'no - α' quantities using a procedure similar to the one used in inertial confinement fusion. Using tokamaks as a meaningful example, an experimental fit for the energy confinement time is introduced in the calculations and shown to have a considerable effect on the results, qualitatively changing the thermal stability of the system and the equivalent Lawson product estimates of pure deuterium plasmas. Moreover, if the energy confinement time depends on the heating power as in experimental scalings, the equivalent ${p}_{{\rm{tot}}}{\tau }_{{Ei}}$ in DD discharges is higher than the corresponding ${p}_{{\rm{tot}}}{\tau }_{{Ei}}$ in a DT plasma.},
doi = {10.1088/1361-6587/ab2b22},
journal = {Plasma Physics and Controlled Fusion},
number = 8,
volume = 61,
place = {United States},
year = {2019},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Figures / Tables:

Figure 1 Figure 1: Elementary reaction steps in the catalytic cycle are spatially controlled to enable formation of methanol from methane by an oxygen-sensitive catalyst.

Save / Share:

Works referenced in this record:

Fusion nuclear science facilities and pilot plants based on the spherical tokamak
journal, August 2016


Turbulent transport of alpha particles in tokamak plasmas
journal, January 2017


Fuelling and density control for DEMO
journal, September 2015


Thermonuclear ignition in inertial confinement fusion and comparison with magnetic confinement
journal, May 2010

  • Betti, R.; Chang, P. Y.; Spears, B. K.
  • Physics of Plasmas, Vol. 17, Issue 5
  • DOI: 10.1063/1.3380857

Space-dependent effects on the Lawson and ignition conditions and thermal equilibria in tokamaks
journal, July 1976


Scenario development for D–T operation at JET
journal, June 2019


Self-consistent modeling of DEMOs with 1.5D BALDUR integrated predictive modeling code
journal, September 2016


On the power and size of tokamak fusion pilot plants and reactors
journal, January 2015


Plasma exhaust requirement for sustained ignition: relaxation due to profile considerations
journal, October 1997


Selected transport studies of a tokamak-based DEMO fusion reactor
journal, September 2016


Performance of ITER as a burning plasma experiment
journal, January 2004


Progress in the ITER Physics Basis
journal, June 2007


Active Control of Burn Conditions for the International Thermonuclear Experimental Reactor
journal, December 1990

  • Haney, Scott W.; Perkins, L. John; Mandrekas, John
  • Fusion Technology, Vol. 18, Issue 4
  • DOI: 10.13182/FST90-A29253

Diagnostics and control for the steady state and pulsed tokamak DEMO
journal, January 2016


The effect of inelastic collisions on the transport of alpha particles in ITER-like plasmas
journal, February 2017


Status of DEMO-FNS development
journal, June 2017


Studies of Fusion Burn Control
journal, January 1993

  • Anderson, Dan; Elevant, Thomas; Hamnén, Håkan
  • Fusion Technology, Vol. 23, Issue 1
  • DOI: 10.13182/FST93-A30117

Effects of thick blanket modules on the resistive wall modes stability in ITER
journal, November 2010


Advances in the physics basis for the European DEMO design
journal, April 2015


Overview of the preliminary design of the ITER plasma control system
journal, September 2017


Gyrokinetic predictions of multiscale transport in a DIII-D ITER baseline discharge
journal, May 2017


Designing a tokamak fusion reactor—How does plasma physics fit in?
journal, July 2015

  • Freidberg, J. P.; Mangiarotti, F. J.; Minervini, J.
  • Physics of Plasmas, Vol. 22, Issue 7
  • DOI: 10.1063/1.4923266

Generalized criterion for feasibility of controlled fusion and its application to nonideal dd systems
journal, July 1975

  • Maglich, Bogdan C.; Miller, Robert A.
  • Journal of Applied Physics, Vol. 46, Issue 7
  • DOI: 10.1063/1.322021

Density control in ITER: an iterative learning control and robust control approach
journal, December 2017


ITER: burning plasma physics experiment
journal, March 2003

  • Green, B. J.; Teams, ITER International Team and Partici
  • Plasma Physics and Controlled Fusion, Vol. 45, Issue 5
  • DOI: 10.1088/0741-3335/45/5/312

Physics of burning plasmas in toroidal magnetic confinement devices
journal, November 2006


On the core deuterium–tritium fuel ratio and temperature measurements in DEMO
journal, January 2015


Analysis of the thermonuclear instability including low-power ICRH minority heating in IGNITOR
journal, August 2015


Chapter 2: Plasma confinement and transport
journal, December 1999

  • Transport, ITER Physics Expert Group on Confin; Database, ITER Physics Expert Group on Confin; Editors, ITER Physics Basis
  • Nuclear Fusion, Vol. 39, Issue 12
  • DOI: 10.1088/0029-5515/39/12/302

On the universality of power laws for tokamak plasma predictions
journal, January 2018


Development of DEMO-FNS tokamak for fusion and hybrid technologies
journal, June 2015


Generalized criterion for feasibility of D‐T plasma fusion
journal, October 1975

  • Treglio, James R.
  • Journal of Applied Physics, Vol. 46, Issue 10
  • DOI: 10.1063/1.321459

Thermally Stable Operation of Engineering Test Reactor Tokamaks
journal, September 1989


The Effect of Plasma Profiles on the Critical Value of $$n\uptau_{E}$$ n τ E for Ignition
journal, March 2016


A new approach to the formulation and validation of scaling expressions for plasma confinement in tokamaks
journal, June 2015


Scalings for tokamak energy confinement
journal, October 1990


Benchmarking kinetic calculations of resistive wall mode stability
journal, May 2014

  • Berkery, J. W.; Liu, Y. Q.; Wang, Z. R.
  • Physics of Plasmas, Vol. 21, Issue 5
  • DOI: 10.1063/1.4873894

Tokamak two-fluid ignition conditions
journal, August 2017

  • Guazzotto, L.; Betti, R.
  • Physics of Plasmas, Vol. 24, Issue 8
  • DOI: 10.1063/1.4994073

Evaluation of CFETR as a Fusion Nuclear Science Facility using multiple system codes
journal, January 2015


Energy confinement scaling in Tokamaks: some implications of recent experiments with Ohmic and strong auxiliary heating
journal, January 1984


Examination of the entry to burn and burn control for the ITER 15 MA baseline and hybrid scenarios
journal, May 2015


Some Criteria for a Power Producing Thermonuclear Reactor
journal, January 1957


New analytic representation of the thermonuclear reaction rates
journal, July 2018


Chapter 2: Plasma confinement and transport
journal, June 2007

  • Physics), E. J. Doyle (Chair Transport; Modelling), W. A. Houlberg (Chair Confinement Da; Edge), Y. Kamada (Chair Pedestal and
  • Nuclear Fusion, Vol. 47, Issue 6
  • DOI: 10.1088/0029-5515/47/6/S02

    Figures / Tables found in this record:

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