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    Magnetic Confinement Fusion ScienceStatus and Challenges

    S. Prager

    University of Wisconsin

    February, 2005

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    Two approaches to fusion

    Inertial confinementextremely dense, short-lived

    Magnetic confinementrelatively dilute, long-lived

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    The tokamak

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    Fusion energy requires

    Heating the plasmato 100 million degrees

    Confining the plasmaenergy replacement time ~ 1 second

    for density ~ 1015 cm-3

    Extracting energy from the plasmaco-existence of hot plasma and material surface

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    progress in confinement is measured by

    fusion triple product =

    (density)(temperature)(energy replacement time)

    (1021m-3) (108K) (1 second)

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    Progress of fusion triple product

    triples every 1.8 years

    ITER

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    Huge advance in plasma parameters

    year

    fusion power

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    Progress accomplished through research infundamental plasma physics and technology

    Challenges and opportunities remain

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    Scientific issues for fusion(not exhaustive)

    Maximize the plasma pressure

    Control plasma turbulence and energy transport

    Control plasma disruptions

    Develop new magnetic configurations

    Control the plasma-wall interaction

    Develop new materials

    Produce a burning plasma

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    Pressure-driven instability

    Rayleigh-Taylor instability in fluid,driven bygravity

    heavyfluid

    lightfluid

    gravity

    plasma instability,

    driven bycentrifugal forceof

    particles moving alongcurvedmagnetic field

    plasma

    magneticfield

    Centrifugal force

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    Centrifugal force in a torus

    centrifugalforce

    magneticfield

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    Stability theory is highly developed

    Stability depends upon

    magnetic curvature, twist, shear

    plasma rotation

    location of conducting boundaries

    All plasmas disassemble above a pressure limit

    Feedback techniques have been developed to attainhigh pressure

    (plasma pressure ~ 10% of magnetic pressure)

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    Maximizing pressure through feedback

    plasmapressure

    with feedback

    without feedback

    plasmainstability(magnetic fielddisturbance)

    1.0 1.5 2.0 2.5

    time (seconds)

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    Turbulence and transport

    free energy sourcese.g., nonuniform Te, Ti, n, j.

    turbulencefluctuating electric and magnetic fields

    forces on charged particlesloss of particles and energy

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    fusion power gain depends strongly on confinement

    Q = fusion powerheating power

    energy confinement time

    0 1

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    Plasma turbulence no longer considered

    unavoidable force of nature

    Fundamental understanding evolving

    Control techniques evolving

    Recent insight: sheared plasma flow canreduce turbulence

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    Most Dangerous Eddies:Transport long distances

    +Sheared Flows

    Sheared Eddies

    Less effective Eventually break up

    =

    Sheared Flows can Reduce or Suppress Turbulence

    EB

    vEB

    ~

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    Computation of plasma turbulence

    Without sheared flow

    With sheared flow

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    Ion transport barrier forms

    Sheared flow and ion transport barrier formsspontaneously

    Next frontiers: electron turbulence, magnetic

    turbulence

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    Disruptions

    localized heat flux (tens of GW/m2 for 1 ms in ITER)

    Induced currents in structures (hundreds of tons)

    runaway electrons (tens of MA )

    plasma current (MegAmps)

    plasma temperature (K)

    0 0.5 1.0time (seconds)

    107

    2

    disruption

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    Disruptions arise from sudden rearrangement ofmagnetic field

    physics similarities tosolar flares

    magnetic reconnection

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    A practical method for disruption control

    Permit disruption to occur,

    Control its behavior by rapid injection of jet ofneutral gas

    Causes energy to be radiated isotropically,

    No localized heat deposition

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    temperature(107K)

    radiatedpower(GW)

    Time after gas injection (ms)

    radiates nearly 100% of power in 200 microseconds,

    power radiated isotropically - no local damage

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    Plasma confinement is an optimization problem withmany physics and engineering variables

    Physics variables Magnetic field curvature, twist, shear, symmetry

    Plasma flow

    Spatial structure of electron temperature, iontemperature, current density..

    Optimizing the magnetic configuration requires

    fundamental physics and invention

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    Configuration optimization is an essentialpartner to tokamak research

    For fundamental plasma physics andfusion energy science

    To evolve an improved fusion energyconcept

    To contribute to scientific problems yetconfronting the tokamak

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    The spectrum of magnetic configurations

    magnetic field strong weak

    self-

    organized

    externally

    controlled

    emerging highlydeveloped

    examples:

    compact reversed field spherical stellarator

    torus pinch tokamak

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    Tokamak stellarator

    simple coils

    symmetric around axis

    current carrying

    Complex coils

    Helical symmetry withinplasma

    No need for plasma current

    Steady-state, no disruptions

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    Reduce aspect ratio of tokamak

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    tokamak spherical tokamak

    Instability from centrifugalforce yields mediumpressure

    Centrifugal forceMagnetic fieldline

    Effect of centrifugalforce weakened, yieldinghigher pressure

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    tokamak reversed field pinch

    strong toroidal magnetic field weak toroidal field

    simplifies engineering

    but weakens confinement

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    Spherical tokamak compact torus

    Small hole in center No hole in center of torus

    Very compact

    Stability under study

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    How to interface a 100 million degreeplasma to a room temperature wall?

    Need to control the edge plasma

    Need new wall materials

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    A temperature pedestal forms at the plasma edge

    radius

    107

    radius

    Temperature (k)

    ~3 cm

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    The temperature at the height

    of the pedestal is important

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    Structures developed to withstand aheat flux of 25 MW/m2

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    Liquid walls for fusion

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    Scientific issues for fusion

    Maximize the plasma pressure

    Control plasma turbulence and energy transort

    Control plasma disruptions

    Develop new magnetic configurations

    Control the plasma-wall interaction

    Develop new materials

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    Conclusions

    Many scientific challenges remain

    Fusion energy science is highly advanced

    We are ready to build a burning plasmaexperiment - a new frontier is fusion energy andplasma physics