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Title: Roadmap Objective 2


1
Roadmap Objective 2 Secure ITER
Operation Initial report
Göran Ericsson William Morris (rapporteur) Jef
Ongena Hartmut Zohm
Roadmap workshop, Garching, 13-14 April 2011
2
Contents
  • Guidelines Hasinger report
  • Aim of our work, approach adopted,
  • Assumptions, time frame and context
  • Scope what's in, whats out
  • Scenarios which ones
  • Modelling and theory aims
  • Examples of risk/impact-based analysis to guide
    key EU activities
  • Facilities existing and proposed (lists)
  • Conclusions

3
Guidelines Hasinger report
  • Objective 2 - Secure ITER Operation by expanding
    the knowledge base to maximise the scientific
    output of ITER. Develop operational scenarios
    that will secure and even exceed the baseline
    performance. Ensure the rapid and efficient start
    up of ITER operation, and protect the investment
    in ITER by minimising the chances of unexpected
    technical problems that would delay exploitation
    or incur extra cost.
  • Deliverables In the next decade the programme
    must deliver
  • a) Several robust, low risk, high performance
    operating scenarios for ITER that meet and in
    some cases exceed baseline requirements. At least
    some scenarios should be capable of long pulse
    operation, allowing an extrapolation to DEMO.
  • b) The capability and tools for accurate
    predictive modelling of ITER performance. These
    tools must integrate models of confinement,
    stability, energetic particle physics and wall
    interaction. Their validation should be prime
    programmatic objectives of the accompanying
    facilities.
  • c) Any satellite facilities that are necessary to
    support ITER operations.

4
Short version
  • Break down scenarios into the known problem areas
    (Associations, ITPA, Facilities Review, ITER
    research plan etc)
  • Think what we can do which can genuinely be
    applied on ITER plasmas to reduce risks and/or
    make them better (think like ITER)
  • identifiable output (i.e. we know when weve done
    it)
  • Identify which Associations interested,
    facilities available
  • This can be basis of a roadmap rooted in a
    practical programme
  • Some summary info from the input
  • Now for some details

5
Aim of our work - I
  • It is absolutely essential that ITER succeeds,
    and that high performance is achieved as quickly
    as possible.
  • Much operation time can be saved on ITER with
    good preparation of the physics understanding,
    modelling tools and, especially, the scientists.
    Conversely it could go very slowly.
  • ITER may perform above its baseline goals this
    will need knowledge, inventiveness and possibly
    some enhancements
  • The complexity of tokamaks and the physics
    requires a very able and motivated community
  • We need to work out the best way to prepare for
    this FP8 is key
  • We need to provide the basis for a vigorous,
    lively, innovative programme where it is clear
    why it has to be a certain size.

6
Aim of our work - II
  • Tokamak performance depends on the plasma
    scenario
  • Scenarios consist of many elements and their
    integration.
  • Almost all aspects will be different on ITER, to
    some extent
  • Address elements and integration ? capabilities
    and programme
  • Try to establish high level targets that
  • will visibly help ITER
  • we know when weve hit
  • are readily linked to the working-level programme
  • Not defining programme, but collecting ideas on
    topics and approaches

7
Input (for today and later)
  • Ideas and capabilities from the Associations (the
    spreadsheets) - gt1000 entries for objective 2
    (only a subset in this talk)
  • ITER Research Plan (v2.2, 2FB8AC)
  • Facilities Review report and milestones (not the
    input documents)
  • ITPA research needs
  • STAC knowledge
  • This workshop

8
Assumptions
  • EU should develop the capability to implement the
    scenario effectively on ITER, in all its aspects,
    without relying on input from other ITER parties
  • EU should develop independent modelling
    capability
  • Funding is available for reasonable
    enhancements to existing facilities (experimental
    and computational)
  • JT-60SA and the IFERC HPC are assumed to be EU
    facilities

9
Scope whats in
  • All scientific activities to develop end-to-end
    scenarios
  • All activities to develop models (basic theory,
    codes, computers)
  • Enhancements to existing facilities, experimental
    or computational
  • Assessment of the need for and capability of
    enhancements to ITER, JT-60SA, IFERC computer

Scope whats out
  • Operation of the plant at a technical level
    (diagnostics, tokamak systems, HCD systems)
  • Maintenance, remote handling
  • Implementation of enhancements to ITER or BA
    facilities
  • Engineering modelling of ITER components

10
Scenarios
  • Deliverables In the next decade the programme
    must deliver
  • a) Several robust, low risk, high performance
    operating scenarios for ITER that meet and in
    some cases exceed baseline requirements. At least
    some scenarios should be capable of long pulse
    operation, allowing an extrapolation to DEMO.
  • What is a scenario?
  • How do we know they are robust and low risk?

11
What is a scenario?
  • Final state (flat top, integration in space)
  • current, field, plasma shape, density,
    temperature, b etc
  • fraction of non-inductive current drive
  • nature of transport, transport barriers,
    stability and stability margins
  • consistent heating, current drive and fuelling
  • divertor solution
  • End-to end integration in time
  • vessel preparation
  • breakdown, start-up, ramp-up and transition to
    flat top
  • Control optimisation, transients (external and
    plasma-induced)
  • termination, ramp down
  • ITER needs different scenarios for high Q, long
    pulse steady state.

12
Scenarios which ones?
  • Low activation phase not addressed directly
    today, but must be part of programme
  • Hydrogen plasmas and attempts at H-mode
  • Helium H-modes
  • Q10 (DD as well as DT)
  • ELMy H-mode
  • Improved H-mode / Hybrid / Advanced Inductive
    mode
  • Steady state/long pulse
  • Hybrid/Advanced Inductive mode
  • Advanced tokamak non-inductive

13
Scenarios what does delivery mean?
  • Experience shows
  • scenarios cannot be simply transported (took
    several years to translate hybrid successfully
    from ASDEX Upgrade to JET)
  • a written recipe is completely inadequate
  • a combination of experienced people, good data,
    and good theory-based models is needed
  • ITER must have the measurements and actuators to
    optimise
  • Delivery is only secure when the scenario has
    been run on ITER
  • Considerations
  • What can we actually do that will make a
    significant difference?
  • How do we demonstrate/quantify this? (imagine we
    are running ITER)

14
Scenarios what does delivery mean?
  • Possible (theoretical) example
  • The edge pedestal height is critical to ITERs
    performance in ELMy H-mode
  • We can estimate height, but our goal should be
    evidence that we can control and improve it. E.g
  • Experiments where something is changed and the
    pedestal gets wider and higher
  • Theory-based, experimentally tested models to
    explain why it happened
  • modelled techniques that would have the same
    effect on ITER.

ITER Physics Basis, 2007. Nucl. Fusion 47 S18
15
Predictive capability?
  • Deliverables In the next decade the programme
    must deliver
  • b) The capability and tools for accurate
    predictive modelling of ITER performance. These
    tools must integrate models of confinement,
    stability, energetic particle physics and wall
    interaction. Their validation should be prime
    programmatic objectives of the accompanying
    facilities.
  • Models allow us
  • to bridge gap from present devices, design ITER
    plasmas in advance
  • to fix/optimise ITER plasmas there will be great
    pressure on run-time
  • Theory allows us
  • To base our models on best physics understanding
  • Use the models outside their range of
    experimental validation
  • We should aim for first principles physics, not
    purely empirical models
  • This talk specifics under the scenario topics,
    infrastructure under ITM

16
Satellite facilities
  • Deliverables In the next decade the programme
    must deliver
  • c) Any satellite facilities that are necessary to
    support ITER operations.
  • These are facilities that operate alongside ITER
    addressing issues that arise during the operation
    (which cannot be answered adequately by ITER and
    its team). Also prepare enhancements
  • JT-60SA is assumed to be operational towards the
    end of the period FP8, FP82, and is aimed
    towards DEMO as well as ITER
  • Other major satellite facilities would be
    justified by their input in parallel to ITER

17
Satellite facilities
  • At present (April 2011) we do not have ideas from
    Associations on
  • the programme in parallel with ITER,
  • the exploitation of the satellite facilities
    proposed by Associations.
  • So, not easy to give views on necessary satellite
    facilities here.
  • But issues raised here likely to apply during
    ITER operation, so we have an important step
  • Several Associations indicated they wish to
    contribute to a discussion on the definition of a
    possible EU satellite this should start soon
    (using report of the earlier expert group on ITER
    DEMO satellites?)
  • Substantial effort is indicated in the tables for
    FAST, upgrades of other facilities (AUG, TS, MAST
    and some other systems/facilities)

18
Approach adopted
  • Identify ingredients of a scenario (e.g. core
    transport, pedestal height)
  • Include common activities such as HCD, fuelling,
    diagnostics, control
  • Identify risks/uncertainties
  • Suggest mitigation actions (using Association and
    other ideas)
  • Identify what success means, what difference we
    will make. how exactly will it make ITER better
    (rather than only improved understanding)
  • Identify EU capability (use Association
    enhancement ideas if key to the mitigation)
  • Identify interested Associations from the input
    (will not be complete list)
  • Risks and activities are not ranked at this stage

19
Specific topics
  • Only a subset here, to identify main
    capabilities.
  • Some ideas for clear impact on ITER. Will be
    other/better ideas. Principle is if you were on
    ITER, what would you want and use?
  • Q10 ELMy H-mode pedestal (incl ELM mitigation),
    L-H, integration
  • Q10 Hybrid core transport, self-regulation/contr
    ol, integration,
  • Q5 advanced ITB formation and control,
    integration
  • Fuel retention
  • Erosion/deposition
  • Fast particle transport/losses
  • Rotation generation and transport
  • SOL and divertor
  • ICRH coupling and compatibility
  • Disruptions

20
Q10 ELMy H-mode H-mode access
  • Comment/status
  • Power in ITER marginal esp. in H, He phase.
  • Mitigation, and evidence of success
  • More power on ITER, esp in H/He phase Other
    triggers (flow changes, divertor leg, ion loss,
    pellet, current ramps) T early on ITER
  • More power agreed. Demonstrated lower threshold
    based on first-principles theory
  • EU capability Associations
  • JET (esp if T) AUG MAST TCV TJ-II (for
    understanding), COMPASS.
  • Strong theory well diagnosed machines
  • CCFE, CIEMAT, CRPP, HELLAS, IPP, IPP.CR, ÖAW,
    TEKES

21
Q10 Hybrid General
  • Comment/status
  • q(0)gt1 relies on benign instabilities transfer
    slow (AUG ? JET)
  • Risk/uncertainty
  • No self-regulation. Core confinement poor, or
    ITBs. Low pedestal if radiative divertor metal
    accumulation isotope effect
  • Mitigation, and evidence of success
  • Combined exps theory ? self-regulating
    transport and rotation, options for q(r)
  • End-to-end transient-resilient scenario model
  • EU capability Associations
  • JET, AUG, JT-60SA, MAST, TCV, TS
  • CCFE, CEA, ENEA, IPP, CRPP? others?

Hybrid mode aims to have improved core
confinement but without an internal transport
barrier and its control needs
22
All scenarios Erosion and redeposition
  • Comment/status
  • Wall lifetime, retention, resilience to ELMs
    disruptions, dust production, impurity influx all
    key.
  • Risk/uncertainty
  • Unacceptable metal impurity influx. PFC material
    degrades. Dust production
  • Mitigation , and evidence of success
  • Seeding/fuelling, higher density edge, ELM
    control, disruption avoidance
  • Demonstration of prolonged JET ILW operation at
    high power. Understand why materials change, how
    dust can be reduced
  • EU capability Associations
  • AUG, JET, TS, FTU, MAGNUM-PSI, TEXTOR
    post-mortem analysis
  • CCFE, CEA, ENEA, ENEA-CNR, FOM, FZJ, IPP, IPPLM,
    IPPLM, MHEST, TEKES, ULB, VR

23
All scenarios Fuel retention
  • Comment/status
  • Critical for ITER operation carbon data
    unacceptable, Be/W situation unknown.
  • Risk/uncertainty
  • Even with metal wall retention may be too high,
    and effective removal techniques will be needed.
    Nature of retention (depth) may depend on
    scenario
  • Mitigation, and evidence of success
  • Experiments with metal wall accountancy, wall
    conditioning to recover (ICWC?). Tritium allows
    greater accuracy.
  • Demonstrated data on accuracy of accounting,
    quantified recovery techniques
  • EU capability Associations
  • JET, AUG, TEXTOR, Magnum-PSI, Post mortem
    analysis facilities. Metal surface essential?
  • FOM, FZJ, MHEST, TEKES, VR (assume others such as
    IPP, CEA, CCFE)

24
HCD ICRH coupling
  • Comment/status
  • Physics of coupling quite well understood, but
    realisation unreliable. Impurity influx
  • Risk/uncertainty
  • Coupling depends on unknown edge plasma,
    sensitive to scenario. Impurities
  • Mitigation, and evidence of success
  • Develop way to set density in front of antenna,
    for good coupling for all plasmas tune phasing
    to reduce sheath effects
  • Proven physics model to show density and sheath
    in front of antenna is controllable.
  • EU capability Associations
  • JET, TEXTOR, AUG, FTU, Tore Supra. System
    changes may be needed
  • CCFE, CEA, ENEA, IPP, ERM-KMS, VR.

25
All scenarios Fast particle transport/loss
  • Comment/status
  • Critical for a-heating effectiveness and profile,
    NBCD, sawtooth control
  • Risk/uncertainty
  • Fast particle-driven modes cause unacceptable
    losses (damage, loss of a-heating or NB current
    drive). Sawtooth control fails (and more NTMs
    result)
  • Mitigation , and evidence of success
  • Model improvements based on mixed data. Better
    diagnostics (confined lost ions, mode
    structure, and TAE probes), varied fast ion
    populations, distribution.
  • ITERs drive and damping terms tested
    experimentally ITER-applicable turbulence
    effects on fast ions tested. Estimates for ITER
    and ideas to reduce
  • EU capability Associations
  • AUG, JET, MAST, TCV (NBI, TAE antenna upgrades),
    RFX (?, NBI upgrade)
  • CCFE, CRPP, DCU, ENEA, ENEA-CNR, FOM, HAS, IPP,
    ÖAW, RFX, RISØ, TEKES, VR

26
All scenarios Disruptions
  • Comment/status
  • Limit operation, generate dust, damage PFCs.
  • Risk/uncertainty
  • Occurrence rate and impact Predictions (e.g.
    neural nets) dont transfer, too late in pulse
  • Mitigation , and evidence of success
  • Integrated avoidance strategy theory model of
    runaways, toroidal asymm, mitigation
  • Transferred models of mitigation/prediction
    integrated avoidance to fit ITER infrastructure
  • EU capability Associations
  • JET AUG MAST, TS, FTU, TEXTOR, RFX(?)
  • CCFE, CEA, CIEMAT, CRPP, ENEA-CNR, ENEA, FZJ,
    HAS, IPP, IPPLM, MHEST, RFX, VR

Analysis of root causes showing wide range, and
thus potential benefit of integrated operational
approach (JET)
27
Infrastructure
  • Comment/status
  • The programme needs a wide range of supporting
    capabilities diagnostics, theory, modelling,
    control, computer facilities, data acquisition,
    data handling, operations
  • EU capability
  • Wide capability on all systems. There will be
    some weaker areas.
  • Associations
  • All Associations contribute. Some have made
    specific mention of key areas such as
    diagnostics, data acquisition and control,
    exascale computing. Some relate to specific
    experiments such as JET DT.

28
ITER enhancements
  • Comment/status
  • A range of enhancements during ITERs life are
    likely. Diagnostics and LHCD are already in mind.
    Includes diagnostics of ancillary systems such as
    NBI source
  • Not yet clear which parties would provide may
    affect level of RD outside F4E in EU
  • EU capability
  • Wide experience on all tokamak systems. Future
    satellite facilities.
  • Associations
  • Probably large majority CEA (Obj 1), DCU,
    ENEA-CNR, ENEA, IPPLM, RISØ mention specifically.

29
Scenarios summary of what is needed
  • Deliverables In the next decade the programme
    must deliver
  • a) Several robust, low risk, high performance
    operating scenarios for ITER that meet and in
    some cases exceed baseline requirements. At least
    some scenarios should be capable of long pulse
    operation, allowing an extrapolation to DEMO.
  • Experimentally validated models for several key
    elements in order to design ITER scenarios and
    have demonstrated options to improve/correct
  • e.g. edge pedestal, transport in hybrid, L-H
    transition
  • Identification of issues for integration (in
    space and time) and proven approaches
  • Techniques for common issues such as fuel
    retention, ICRH coupling
  • A capable motivated team to transfer to ITER

30
Models summary of what is needed
  • Deliverables In the next decade the programme
    must deliver
  • b) The capability and tools for accurate
    predictive modelling of ITER performance. These
    tools must integrate models of confinement,
    stability, energetic particle physics and wall
    interaction. Their validation should be prime
    programmatic objectives of the accompanying
    facilities.
  • Comprehensive suite of theory-based models for
    the major issues of the core plasma, with clarity
    on the state of experimental validation
  • Models for SOL, divertor and first wall,
    including some 3-D effects (e.g. ELM coils). Some
    semi-empirical due to mixed plasma and non-plasma
    physics.
  • Structure to integrate the codes (ITM)
  • Note no Association proposals for the massive
    computing resources that will be needed as well
    as IFERC if we aspire to a full model?

31
Staffing proposed by Associations
  • While no breakdown has been made at this stage,
    the totals may be useful (there are certainly
    errors here!)
  • Period Total ppy Av. ppy/yr 2a 2b 2c
  • 2012-2013 1458 729 372 218 138
  • 2014-2018 3375 675 357 208 110
  • 2019-2020 1448 724 317 212 195
  • Total 6279 - 3162 1900 1216
  • 2c includes increased staffing for AUG to make
    more available, MAST Upgrade, some facilities and
    diagnostic development, as well as TS (WEST), AUG
    extension, and FAST

32
Facilities 2012-13 (Host input)
  • FP7 Tokamaks, RFPs, Stellarators
  • ASDEX Upgrade
  • COMPASS
  • FTU
  • ISTTOK (?)
  • JET
  • MAST
  • TCV ( TORPEX)
  • TEXTOR
  • TORE SUPRA
  • EXTRAP-T2R
  • RFX
  • TJ-II
  • Observation all machines appear (to a different
    degree) in the proposals, some are heavily used
    by several Associations

33
Facilities 2012-13 (Host input)
  • Plasma source, PWI, high heat flux etc
  • Magnum-PSI (FOM)
  • JUDITH 1, JUDITH 2, MARION, PSI-2 Jülich (FZJ)
  • PUMA(?), PF1000-U (IPPLM)
  • ELISE (IPP), FNG (ENEA), Remote handling (?)
    HELOKA (KIT) OMEGA (PWI?, ENEA) Tandem
    accelerator (VR)
  • Computational (fusion specific)
  • Gateway, HPC-FF, IFERC

34
Facilities 2014-18 (Host input)
  • FP7 Tokamaks, RFPs, Stellarators
  • ASDEX Upgrade
  • COMPASS
  • FTU
  • ISTTOK (?)
  • JET
  • JT-60SA (late in FP8)
  • MAST (and upgrade)
  • TCV ( TORPEX)
  • TEXTOR
  • TORE SUPRA
  • EXTRAP-T2R
  • RFX
  • TJ-II
  • W7-X
  • Some are absent in 2019-20, but closure date not
    given if earlier

35
Facilities 2014-18 (Host input)
  • Plasma source, PWI, high heat flux etc
  • Magnum-PSI (FOM)
  • JUDITH 1, JUDITH 2, MARION, PSI-2 Jülich,
    JULE-PSI (FZJ)
  • PUMA(?), PF1000-U (IPPLM)
  • ELISE (IPP), FNG (ENEA), Remote handling (?)
    HELOKA (KIT) OMEGA (PWI?, ENEA) Tandem
    accelerator (VR)
  • Computational (fusion specific)
  • Gateway, HPC-FF, IFERC

36
Facilities 2019-20 (Host input)
  • FP7 Tokamaks, RFPs, Stellarators
  • ASDEX Upgrade
  • COMPASS
  • FTU
  • ISTTOK (?)
  • JET (?)
  • JT-60SA
  • MAST (upgraded)
  • TCV ( TORPEX)
  • TEXTOR
  • TORE SUPRA (if WEST)
  • EXTRAP-T2R
  • RFX
  • TJ-II
  • W7-X

37
Facilities 2019-20 (Host input)
  • Plasma source, PWI, high heat flux etc
  • Magnum-PSI (FOM)
  • JUDITH 1, JUDITH 2, MARION, PSI-2 Jülich,
    JULE-PSI(FZJ)
  • PF1000-U (IPPLM)
  • ELISE (IPP), PRIMA (RFX), FNG (ENEA), Remote
    handling (?) HELOKA (KIT) OMEGA (PWI?, ENEA)
    Tandem accelerator (VR)
  • Computational (fusion specific)
  • Gateway, HPC-FF, IFERC

38
JET
  • JET has a special place in this period, in some
    ways a proxy for ITER.
  • Here, it is assumed JET is available for some
    years (e.g. to 2015)
  • A tritium campaign would change tenor of EU
    programme significantly.
  • Association input covers all of the main areas
    and includes
  • Scenario development to high power with radiative
    divertor
  • Integrated ELM control
  • Fuel retention, and removal
  • Material erosion and migration (W, Be)
  • Fast particle physics and diagnostics
  • Disruption studies including runaways, avoidance,
    prediction, mitigation
  • ICRH performance

39
Satellite facilities proposed/agreed
  • BA JT-60SA (some Associations propose
    diagnostics)
  • CCFE MAST Upgrade Objective 4 as well
  • CEA WEST (Tore-Supra actively cooled W
    divertor) Objective 4 as well
  • ENEA FAST and its subsystems
  • FZJ Upgrade high heat flux test facility
    (MARION), Hot cells with plasma devices, Linear
    plasma device (JULE-PSI?)
  • HAS TBM Remote Handling test facility Objective
    1 or 4?
  • IPP ASDEX Upgrade extension
  • IPPLM Pulse Plasma Gun (PUMA) for disruption,
    ELM studies
  • IST Remote Handling Transfer Cask System test
    facility Objective 1 or 4?
  • In addition several Associations mention
    diagnostics and other support projects

40
Forward look to the ITER years
  • The situation will be different when ITER is
    operating
  • Focus on designing plasma scenarios and
    experiments to develop and optimise them. Likely
    to be largely modelling (discrete and
    integrated), using experimental data to test.
  • Powerful and fast tools for analysing and
    interpreting data will be key.
  • Non-ITER studies could be focused on specific
    problems (e.g. transport, transport barriers,
    stability, anomalies in current drive, fast ion
    physics etc preparing enhancements).
  • Not clear when ITER takes on scenario integration
    maybe for deuterium, not hydrogen? Transition
    may not be at end of FP82
  • ITER will not address steady state/very long
    pulse till later need to develop in parallel
    (modelling and experiment). JT-60SA will be key.

41
Short version
  • Break down scenarios into the known problem areas
    (Associations, ITPA, Facilities Review, ITER
    research plan etc)
  • Think what we can do which can genuinely be
    applied on ITER plasmas to reduce risks and/or
    make them better (think like ITER)
  • identifiable output (i.e. we know when weve done
    it)
  • Identify which Associations interested,
    facilities available
  • This can be basis of a roadmap rooted in a
    practical programme
  • Some summary info from the input

42
Summary and conclusions - I
  • To get the best from ITER, quickly, we need
    motivated, able, experienced people, and a suite
    of tools to design and optimise plasmas
  • Genuine scenario demonstration can only be done
    on ITER, documentation alone is completely
    inadequate. A mechanism to include expert people
    in the ITER team is key, especially as
    facilities close.
  • But many things can be done to prepare the people
    and the tools
  • Approach
  • break down scenarios into elements (e.g.
    pedestal, L-H transition, core transport, ICRH
    coupling), and integration issues,
  • pick those where there is concern and genuine
    potential to develop tools to improve ITER
    plasmas, define specific goals (imagine we are
    ITER)
  • demonstrate improvements on smaller tokamak(s)
    and models, and thus take a proven theory-based
    technique to ITER (imagine we are ITER)

43
Summary and conclusions - II
  • This gives ingredients for a strategic roadmap in
    scenario development (experiment theory),
    rooted in a stimulating research programme.
  • They could help define the necessary programme
    size for Europe to maintain and develop an
    independent capability for ITER and DEMO
  • Scenario integration will pass to ITER, but
    possibly only after the hydrogen and helium
    phases, i.e. significantly into FP9.
  • While the emphasis is naturally on larger better
    equipped tokamaks, there are important roles for
    other facilities, including stellarators RFPs.
    Also need space for new ideas, exploration
  • It appears a viable accompanying programme
    reducing substantially the risks for ITER
    operation can be built from Associations input.
  • To do assessment of satellite facilities needed
    in parallel to ITER operation

44
More detailed slides on scenario issuesList of
Facility review milestonesAvailable on request
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