Richard E. Siemon- Atlas for magneto-inertial fusion

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    Atlas for magneto-inertial fusion

    Richard E. Siemon

    6th Symposium

    CURRENT TRENDS IN INTERNATIONAL

    FUSION RESEARCH: A REVIEW

    7-11 March 2005,

    Washington, DC, U.S.A.

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    SynopsisMagnetized Target Fusion (MTF) is the approach to fusion energy that is intermediate inparameters between conventional magnetic and conventional inertial fusion. Typical

    parameters are microsecond time scales, megabar pressures, megagauss magnetic field, andmegajoules of energy. The essential ingredients are formation of a plasma target containing thefusion fuel embedded in a magnetic field to improve energy confinement, followed by pulsedcompression of the fuel to achieve fusion reactions during the inertial dwell time of thecompression system. A variety of detailed approaches are being considered for this purpose.1-4

    Theoretical analysis shows that the intermediate regime of parameters has better prospects for

    economical development of practical fusion energy than either extreme represented byconventional approaches.5

    This year the Atlas pulsed power facility, designed and developed at Los Alamos NationalLaboratory, is beginning to operate at the Nevada Test Site. It is the worlds largestmicrosecond pulsed power system. Given that the primary purpose of Atlas is high-energy-density science for stockpile stewardship, it is serendipitous that Atlas is also extremely well

    suited for critical tests of the magneto-inertial fusion concept.The design of an initial experiment on Atlas will be described that investigates magnetic fluxcompression without plasma, and generation of magnetic field in the megagauss regime.6 Annew and interesting aspect of the experiment is a unique method of providing seed flux forcompression by diverting a small amount of current from the main Atlas power system while itdrives a liner implosion.

    Progress on formation of an MTF plasma target has been recently reported by Los Alamosresearchers,7 and other possibilities are being investigated.8 Plans for a campaign of Atlasexperiments based on this progress are being developed. This campaign is one part of aroadmap for developing the MTF concept, which was recently prepared by the internationalcommunity of scientists interested in MTF. The roadmap shows how Atlas in combinationwith other existing pulsed power facilities can provide a faster pathway to fusion than possiblewith conventional approaches.

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    References

    1. D.D. Ryutov and R.E. Siemon, Comments on Modern Physics 2, 185 (2001).2. Y.C.F. Thio, C.E. Knapp, R.C. Kirkpatrick, R.E. Siemon, and P.J. Turchi, J. Fusion Energy

    20, 1 (2001).

    3. F. Winterberg, Phys. Plasmas 11, 706 (2004).

    4. A.J. Kemp, M.M. Basko, and J. Meyer-ter-Vehn, Nucl. Fusion 43, 16 (2003).

    5. R.E. Siemon, P.J. Turchi, D.C. Barnes, J.H. Degnan, P. Parks, D.D. Ryutov, F.Y. Thio, Proc.12th International Toki Conference, Toki, Japan (2001).

    6. T.S. Goodrich, R.E. Siemon, B.S. Bauer, T.E. Cowan, I.R. Lindemuth, V. Makhin, R. Faehl,R. E. Reinovsky, 46th Annual Meeting of the Division of Plasma Physics, Savannah, Georgia,Nov. 15-19, 2004

    7. G. A. Wurden, T. P. Intrator, S. Y. Zhang, I. G. Furno, S. C. Hsu, J. Y. Park, R. Kirkpatrick,

    R. M. Renneke, K. F. Schoenberg, M. J. Taccetti, M. G. Tuszewski, W. J. Waganaar, ZhehuiWang, R. E. Siemon, J. H. Degnan, D. G. Gale, C. Grabowski, E. L. Ruden, W. Sommars, M.H. Frese, S. Coffey, G. Craddock, S. D. Frese, N. F. Roderick, Paper IC/P6-53, Proc. 20thIAEA Fusion Energy Conference, Vilamoura, Portugal (2004)

    8. R.E. Siemon, W.L. Atchison, B.S. Bauer, A.M. Buyko, V.K. Chernyshev, T.E. Cowan, J.H.Degnan, R.J. Faehl, S. Fuelling, S.F. Garanin, A.V. Ivanovsky, I.R. Lindemuth, V. Makhin,

    V.N. Mokhov, R.E. Reinovsky, D.D. Ryutov, D.W. Scudder, T. Taylor, V.B. Yakubov, PaperIC/P6-48, Proc. 20th IAEA Fusion Energy Conference, Vilamoura, Portugal (2004).

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    Terminology

    Magneto-inertial fusion (MIF) is the general idea of achieving fusion with ahigh-density pulsed system that incorporates magnetic field

    --magnetic field to improve energy confinement during burn

    --high-energy-density achieved with high-power pulsed technology

    --time scale governed by inertia of material surrounding the heated fuel

    Magnetized Target Fusion (MTF) is the subset of MIF approaches that seeks

    to work at a density intermediate between conventional inertial and magnetic

    systems.

    --preheat the fuel and compress to thermonuclear temperature with one of

    several possible pushers.

    --metal liners and pulsed systems like Atlas are available now to test basic

    concept

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    FRC plasma target

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    DT Fuel Mass heated to10 keV

    103

    Required DT Fuel Mass

    Density (gram/cm3

    )

    1

    10-3

    10-6

    10-9 10-6 10-3 1

    FuelMass(grams)

    Diffusion-limitZero magneticfield

    NIF

    ApproximateUpper-limit Bohm

    Advancedconcepts

    ITER

    Diffusion-limitclassical magnetic confinement

    MTF

    FuelE

    nergy(joule

    s)

    106

    109

    103

    MTF regime is intermediate between MFE and ICF

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    Intrinsic fusion cost considering size andpower is minimized around 1 Mbar

    10

    100

    1000

    10000

    1.E+02 1.E+04 1.E+06 1.E+08 1.E+10 1.E+12

    ITER-FEAT

    FIRE

    NIF

    Z

    Atlas

    Generic MTF

    Nominal tokamak

    High pressure tokamak

    Fuel pressure (megabar)

    0.0001 .01 1 100 10000

    Facilitycost($M

    )

    10

    100

    1000

    10000

    1.E+02 1.E+04 1.E+06 1.E+08 1.E+10 1.E+12

    ITER-FEAT

    FIRE

    NIF

    Z

    Atlas

    Generic MTF

    Nominal tokamak

    High pressure tokamak

    Fuel pressure (megabar)

    0.0001 .01 1 100 10000

    Facilitycost($M

    )

    See Siemon et al.,

    Toki conference (2001).

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    MIF can be developed faster thanconventional fusion

    Road map analysis suggests a time scale of 20

    years instead of 50 yearsCost of development is reduced because

    facilities are intrinsically less expensive.

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    Concept ExplorationPlasma target experiments & Liner tests

    Theory & Modeling

    ~ $5 M/year

    Proof-of-Principle

    Atlas facility / Variety of targets~$20M/y

    Performance Extension

    Atlas & Engineering Prototypes

    $30-50M/y

    Energy Development

    Demo$1B

    Commercialization

    Power plant$2B

    2015

    NASA Development

    Ground-based rocket$1B

    Manned Exploration

    of Solar System

    Stockpile Stewardship

    Intense neutron source$300M

    20122012

    Integrated plasma-on-liner test

    T~1 KeV, Qeff~0.01

    Economic feasibility

    demonstrated

    Engineering & Economics

    demonstrated

    PoP experiment

    Qeff~1

    Mission adopted

    Rocket-specific

    technology

    demonstrated

    Technology,

    Materials,Theory,Ad

    vancedComputing

    R

    ampingto~$10M/yatProof-of-Principle~$2

    5M/yatPerformanceE

    xtension

    Magneto-inertial Fusion Roadmap

    Design based on

    mission requirements

    Spac e Energy Defense

    20252025

    2010

    2007

    Concept ExplorationPlasma target experiments & Liner tests

    Theory & Modeling

    ~ $5 M/year

    Proof-of-Principle

    Atlas facility / Variety of targets~$20M/y

    Performance Extension

    Atlas & Engineering Prototypes

    $30-50M/y

    Energy Development

    Demo$1B

    Commercialization

    Power plant$2B

    20152015

    NASA Development

    Ground-based rocket$1B

    Manned Exploration

    of Solar System

    Stockpile Stewardship

    Intense neutron source$300M

    20122012

    Integrated plasma-on-liner test

    T~1 KeV, Qeff~0.01

    Economic feasibility

    demonstrated

    Engineering & Economics

    demonstrated

    PoP experiment

    Qeff~1

    Mission adopted

    Rocket-specific

    technology

    demonstrated

    Technology,

    Materials,Theory,Ad

    vancedComputing

    R

    ampingto~$10M/yatProof-of-Principle~$2

    5M/yatPerformanceE

    xtension

    Magneto-inertial Fusion Roadmap

    Design based on

    mission requirements

    Spac e Energy Defense

    2025202520252025

    20102010

    20072007

    Roadmap

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    Atlas power supply

    Standard person

    240 kV

    24 MJ~ 25 nH30 MA

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    Atlas is ideal for doing importantMTF experiments

    Near term -- magnetic flux compression to

    megaguass field level in an MTF-relevant

    geometry

    Longer term using various plasma targets,

    test plasma compression inside a liner

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    Flux compression experiment isbeing designed

    z

    Atlas Bank Current

    Conductinghard core

    5cm

    5mm

    Insulator

    Metal

    Liner

    Shunt

    z

    Atlas Bank Current

    Conductinghard core

    5cm

    5mm

    Insulator

    MetalMetal

    Liner

    Shunt

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    Liner implosion with trapped fluxresults in megagauss magnetic field

    Magnetic Field and Radius vs Time

    0102030

    4050607080

    90100

    0 5 10 15

    Time(s)

    Radius(mm)

    B-500(T)

    B-200(T)

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    Hard-core stabilized z pinch ispotential MTF target plasma

    B

    Plasma

    current

    Hard core

    current

    B

    Plasma

    current

    Hard core

    currentPlasma

    Outer conductoris the imploding liner

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    MAGO generates hard-corestabilized z pinch

    MAGO at VNIIEF

    I. R. Lindemuth, et al., Magnetic

    Compression / Magnetized Target Fusion

    (MAGO/MTF): A Marriage of Inertial

    and Magnetic Confinement, 16th IAEAFusion Energy Conference, Montreal,

    Canada, October 7-11, 1996.

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    Self-organization indiffuse z pinch

    Plasma is unstable if pressure gradient violates Kadomtsevcriterion

    Result is turbulent interchange motions of flux tubes in the rzplane (B=B).

    Plasma fluctuates in space and time around the marginalKadomtsev-stable pressure profile.

    Process observed in numerical simulations of many different

    initial conditions; consistent with MAGO experimental data. Process illustrated by simulation using idealized initial

    conditions with eg. pressure gradient 10% too large

    See Makhin et al., Physics of Plasmas, April 2005

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    Sequence of interchange motionfollowing Q=1.1 initial profile

    Z(m

    )

    Plasma density contours (color) and velocity streamlines

    R(m)t = 1.0 s t = 2.0 s

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    Last moment of interchange before chaotic mixing;Mass contours and velocity stream lines

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    Chaotic mixture after interchange;

    mass contours and velocity stream lines

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    Diffuse z pinch target on Atlas

    z

    Atlas Bank Current

    Hard core

    5cm

    5mm

    Coaxial Plasma Injector

    Insulator

    Metal

    Liner

    Switch

    z

    Atlas Bank Current

    Hard core

    5cm

    5mm

    Coaxial Plasma Injector

    Insulator

    MetalMetal

    LinerLiner

    SwitchSwitch

    Plasma injector and Atlas Bank

    are separate electrical circuits

    Coaxial injector could be aMAGO device or a Marshall

    Gun type accelerator

    Liner region labeled switchcauses the plasma injection gap

    to close at the beginning of liner

    compression

    After switching action plasmawith flux is trapped in a

    toroidal chamber surrounding

    the hard core, and

    compressional heating occurs as

    the liner implodes.

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    Liner driven by Atlas(Raven 1D code)

    -10

    0

    10

    20

    30

    40

    50

    60

    0 5 10 15 20 25 30

    Liner outsideLiner inside

    Current

    Hard core

    R

    adius(mm);Current(MA)

    Time (s)

    -10

    0

    10

    20

    30

    40

    50

    60

    0 5 10 15 20 25 30

    Liner outsideLiner inside

    Current

    Hard core

    R

    adius(mm);Current(MA)

    Time (s)

    0

    0.1

    0.2

    0.3

    3.5 4 4.5 5

    Radius (mm)

    Tempera

    ture(eV)

    Boil

    Melt

    20 s

    21 s

    19 s

    0

    0.1

    0.2

    0.3

    3.5 4 4.5 5

    Radius (mm)

    Tempera

    ture(eV)

    Boil

    Melt

    20 s

    21 s

    19 s

    Initial liner 50-mm radius,

    10-cm long, 2-mm thick

    Surface of hard core reaches

    boiling temperature just beforetime of maximum compression

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    2D MHRDR simulation results

    18 20 22 24 260

    20

    R(mm)

    18 20 22 24 26-5

    0

    5

    V

    km/s

    18 20 22 24 260

    5

    10

    /1024(m-3)

    18 20 22 24 260

    5

    (s)

    (keV)

    VelocityLiner inner radius

    Hard-core radius

    t(s)

    18 20 22 24 260

    20

    R(mm)

    18 20 22 24 26-5

    0

    5

    V

    km/s

    18 20 22 24 260

    5

    10

    /1024(m-3)

    18 20 22 24 260

    5

    (s)

    (keV)

    VelocityLiner inner radius

    Hard-core radius

    t(s)

    --compressible two-fluid model

    --Braginskii coefficients of thermalconduction and electrical resistivity.

    --Ohms law is E+vxB= j-- No Hall terms or thermoelectric termssuch as Nernst current included.

    Neutrons ~ 4x1012

    Excellent diagnostic

    See Siemon et al., NuclearFusion, to be published (2005).

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    Compressed plasma turbulentstructure

    time= 2.290e-005s

    5.2 5.4 5.6 5.8 6 6.2

    x 10-3

    0.005

    0.01

    0.015

    0.02

    0.025

    0.03

    0.035

    0.04

    0.045

    500

    1000

    1500

    2000

    2500

    3000

    3500

    4000

    5.5 6 6.5

    x 10-3

    0.005

    0.01

    0.015

    0.02

    0.025

    0.03

    0.035

    0.04

    0.045

    0.05

    time= 2.290e-005s

    9.2

    9.4

    9.6

    9.8

    10

    10.2

    Temperature contours& white streamlines

    Pressure contours

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    Issues that need study

    Modeling of plasma formation process by MAGO or othercoaxial generators is needed.

    Transport modeling should include estimates for Bohmmicroturbulence, wall-plasma interaction, sheath physics, andradiation from impurities.

    A coating of lithium on walls (optionally including dissolvedhydrogen fuel) offers the possibility of low-Z contamination.

    Future simulations should examine radiation from a lithium-hydrogen plasma mixture.

    Hall terms and thermoelectric terms such as Nernst current

    (not in simulation) need further investigation.

    RS, VM, BSB 5/26/03

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    MTF Team

    HyperV Technologies

    U. Wisconsin

    U. Colorado

    U. Washington

    UNR

    UNLV

    NTSLLNL

    UCDavis

    GA

    LANL

    AFRLNASA

    MSFC

    Groups funded (often small) or proposing to work on MTF

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    Summary

    An exciting possibility to advance fusion with MTF on Atlaspresents itself.

    Results from MTF exploratory experiments on Atlas andShiva Star in the next two years will motivate a larger MTFProof-of-Principle campaign on Atlas.

    International team is in place to do this work.

    Proposed plan has small impact upon other DP plans and

    resources; valuable method for recruiting DP manpower.

    The moment is right for a significant MTF initiative