icc2004 madison, wisconsin the multi-pinch experiment outline proto-sphera purpose & aims...

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ICC2004 Madison, Wisconsin A ssociazione Euratom -EN EA sulla Fusion e The Multi-Pinch Experiment Outline PROTO-SPHERA purpose & aims Theoretical basis & analysis Multi-Pinch: a step towards PROTO- SPHERA Conclusions Franco Alladio, Alessandro Mancuso, Paolo Micozzi, 1 Stamos Papastergiou and 2 François Rogier CR-ENEA, CP 65, 00044 Frascati (Roma), Italy 1 Euratom-Enea , 2 ONERA Toulouse, France 1

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Page 1: ICC2004 Madison, Wisconsin The Multi-Pinch Experiment Outline PROTO-SPHERA purpose & aims Theoretical basis & analysis Multi-Pinch: a step towards PROTO-SPHERA

ICC2004 Madison, Wisconsin

Assoc iazione Eu ratom -ENEA sulla Fu si one

The Multi-Pinch Experiment

Outline

• PROTO-SPHERA purpose & aims

• Theoretical basis & analysis

• Multi-Pinch: a step towards PROTO-SPHERA

• Conclusions

Franco Alladio, Alessandro Mancuso, Paolo Micozzi, 1Stamos Papastergiou and 2François Rogier

CR-ENEA, CP 65, 00044 Frascati (Roma), Italy1Euratom-Enea ,2ONERA Toulouse, France

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Page 2: ICC2004 Madison, Wisconsin The Multi-Pinch Experiment Outline PROTO-SPHERA purpose & aims Theoretical basis & analysis Multi-Pinch: a step towards PROTO-SPHERA

ICC2004 Madison, Wisconsin

Assoc iazione Eu ratom -ENEA sulla Fu si one

PROTO-SPHERA

Ie, Ip = 40, 50 kA pinch, ST currents Ie, Ip = 60, 240 kA

A = 1.6 aspect ratio A ≤ 1.3pulse = 80 s~110 A pulse duration pulse ≥ 70 ms~1 R

Goals: sustain the plasma (Helicity Injection SPST) for more than R=0a2/

(resistive time) and compare E with START

2

Aims at producing a spherical torus (ST) with a screw pinch (SP) replacing the

centerpost

Page 3: ICC2004 Madison, Wisconsin The Multi-Pinch Experiment Outline PROTO-SPHERA purpose & aims Theoretical basis & analysis Multi-Pinch: a step towards PROTO-SPHERA

ICC2004 Madison, Wisconsin

Assoc iazione Eu ratom -ENEA sulla Fu si one

PROTO-SPHERA & Spheromaks (TS-3)

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Two important requirements are different for the PROTO-SPHERA equilibriawith respect to Flux-Core-Spheromaks like TS-3:

1) Tokamak-like safety factor profile of ST: q0~0.94, q95~2.6 at the edge2) Strong jump of the surface averaged relaxation parameter <>=0<j•B/B2>

between SP and ST Helicity Injection (~35 m-1 inside SP, ~10 m-1 inside ST)

PROTO-SPHERA (Rsph=0.35 m) has been designed in order to beas far as possible from the pure Spheromak STRsph≤4.49 eigenvalue

Page 4: ICC2004 Madison, Wisconsin The Multi-Pinch Experiment Outline PROTO-SPHERA purpose & aims Theoretical basis & analysis Multi-Pinch: a step towards PROTO-SPHERA

ICC2004 Madison, Wisconsin

Assoc iazione Eu ratom -ENEA sulla Fu si one

Physics & Engineering Design

ST diameter = 0.7 m

Toroidal plasma current Ip= 240 kA  

Aspect ratio A = 1.2Elongation = 2.35  

Pinch current Ie= 60 kA

Engineering design complete

(geometry, stresses and temperatures)

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Page 5: ICC2004 Madison, Wisconsin The Multi-Pinch Experiment Outline PROTO-SPHERA purpose & aims Theoretical basis & analysis Multi-Pinch: a step towards PROTO-SPHERA

ICC2004 Madison, Wisconsin

Assoc iazione Eu ratom -ENEA sulla Fu si one

Main Breakdown features

Screw pinch (SP) formed by a hot cathode breakdown

Filling pressure pH~10-3÷10-2 mbar

Cathode filaments heated to 2600 °C

Ve~100 V applied on the anode

Electrode arc current limited to Ie~8.5 kA

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Proto-Pinch

Testbench

(Ie~ 700 A)

Page 6: ICC2004 Madison, Wisconsin The Multi-Pinch Experiment Outline PROTO-SPHERA purpose & aims Theoretical basis & analysis Multi-Pinch: a step towards PROTO-SPHERA

ICC2004 Madison, Wisconsin

Assoc iazione Eu ratom -ENEA sulla Fu si one 6

Theoretical analysis of the PROTO-SPHERA configuration

Ideal MHD Equilibria:

• formation phase fully analyzed

• equilibrium resilience checked by varing the functional forms of p() & f()

both on the SP and on the ST

Ideal MHD Stability:

• New free boundary code developed plasmas extending up to the

symmetry axis (R=0) with regular (|B|≠0) & singular (|B|=0) X-points

• Toroidal mode numbers n=0 (axisymmetric), 1, 2, 3 investigated

Page 7: ICC2004 Madison, Wisconsin The Multi-Pinch Experiment Outline PROTO-SPHERA purpose & aims Theoretical basis & analysis Multi-Pinch: a step towards PROTO-SPHERA

ICC2004 Madison, Wisconsin

Assoc iazione Eu ratom -ENEA sulla Fu si one 7

All equilibria has been obtained with the same coils set

PROTO-SPHERA Equilibria: Ip=180 kA, Ie= 60 kA, = 0.22

Page 8: ICC2004 Madison, Wisconsin The Multi-Pinch Experiment Outline PROTO-SPHERA purpose & aims Theoretical basis & analysis Multi-Pinch: a step towards PROTO-SPHERA

ICC2004 Madison, Wisconsin

Assoc iazione Eu ratom -ENEA sulla Fu si one 8

PROTO-SPHERA Stability Results

IST/Ie = 5 and 15%

Unstable

n=1,2,3 investigated for all equilibriaMain constraint IST/Ie

Stability obtained for:• = 21÷26% , IST/Ie= 0.5 - 1

• = 14÷15% , IST/Ie= 2-4

With T0=20<p>vol/< >vol

• T0=28÷29% , IST/Ie= 0.5 - 1

• T0=72÷84% , IST/Ie= 2-4

The dominant instabilities are:• up to IST/Ie≈3 Spherical Torus

instabilities• IST/Ie> 3 Screw Pinch kink instabilities

B 0T2

n=1

Page 9: ICC2004 Madison, Wisconsin The Multi-Pinch Experiment Outline PROTO-SPHERA purpose & aims Theoretical basis & analysis Multi-Pinch: a step towards PROTO-SPHERA

ICC2004 Madison, Wisconsin

Assoc iazione Eu ratom -ENEA sulla Fu si one

Results for axisymmetric stability (n=0)

Instabilities growth rate for free boundary codes

(vacuum contribution fully included)Mode numbers

n=0, m=[-15,+15]

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Pinch Magnetic Structure prevents n=0

Vertical ULART Drift

PROTO-SPHERAn=0 stable for any

scenarios up to R/a = 1.2 < 4

Ulart Magnetic Structure prevents

Radial Pinch Drift

Page 10: ICC2004 Madison, Wisconsin The Multi-Pinch Experiment Outline PROTO-SPHERA purpose & aims Theoretical basis & analysis Multi-Pinch: a step towards PROTO-SPHERA

ICC2004 Madison, Wisconsin

Assoc iazione Eu ratom -ENEA sulla Fu si one

Theoretical work to be done

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Investigation about the resistive MHD instabilities,

in particular at the Screw Pinch / Spherical Torus interface

Evaluation of the Helicity Injection efficency

both from a macroscopic as well as a microscopic point of view

Page 11: ICC2004 Madison, Wisconsin The Multi-Pinch Experiment Outline PROTO-SPHERA purpose & aims Theoretical basis & analysis Multi-Pinch: a step towards PROTO-SPHERA

ICC2004 Madison, Wisconsin

Assoc iazione Eu ratom -ENEA sulla Fu si one

Possible evolution of thePROTO-SPHERA proposal

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PROTO-SPHERA can be viewed as a simplification of the

Chandrasekar-Kendall-Furth (CKF) configurations

(stable up to ~ 1)

Screw Pinch replaces in part

the surrounding discharge

Divertor PF coils replace

the secondary tori

Page 12: ICC2004 Madison, Wisconsin The Multi-Pinch Experiment Outline PROTO-SPHERA purpose & aims Theoretical basis & analysis Multi-Pinch: a step towards PROTO-SPHERA

ICC2004 Madison, Wisconsin

Assoc iazione Eu ratom -ENEA sulla Fu si one 12

- Provisional simplified PF coils system with constant current (partially recoverable for PROTO-SPHERA)

- Fed with 0.6 kA, 120 V (no water cooling)

(1.9 kA, 350 V in PROTO-SPHERA)

Multi-Pinch Experiment

START vacuum vessel (already in Frascati)

Aims:Stable Screw Pinch plasma with the full dimension and mushroom shape,but reduced current Ie (2.7 Vs. 8.5 kA)

Phylosophy:Almost all parts should be reutilizedin PROTO-SPHERA

Page 13: ICC2004 Madison, Wisconsin The Multi-Pinch Experiment Outline PROTO-SPHERA purpose & aims Theoretical basis & analysis Multi-Pinch: a step towards PROTO-SPHERA

ICC2004 Madison, Wisconsin

Assoc iazione Eu ratom -ENEA sulla Fu si one 13

Multi-Pinch Experiment (first phase)

Cathode plasma only is mushroom-shapedPower density on the “single”

anode ~ PROTO-SPHERA

Page 14: ICC2004 Madison, Wisconsin The Multi-Pinch Experiment Outline PROTO-SPHERA purpose & aims Theoretical basis & analysis Multi-Pinch: a step towards PROTO-SPHERA

ICC2004 Madison, Wisconsin

Assoc iazione Eu ratom -ENEA sulla Fu si one 14

Multi-Pinch Experiment (second phase)

Anode & Cathode plasma mushroom-shaped

Definitive PROTO-SPHERAAnode

Possibility of arc anchoring needs of saddle coils?

Page 15: ICC2004 Madison, Wisconsin The Multi-Pinch Experiment Outline PROTO-SPHERA purpose & aims Theoretical basis & analysis Multi-Pinch: a step towards PROTO-SPHERA

ICC2004 Madison, Wisconsin

Assoc iazione Eu ratom -ENEA sulla Fu si one 15

Definitive PROTO-SPHERA Cathode, but only partially filled

Multi-Pinch Cathode

Page 16: ICC2004 Madison, Wisconsin The Multi-Pinch Experiment Outline PROTO-SPHERA purpose & aims Theoretical basis & analysis Multi-Pinch: a step towards PROTO-SPHERA

ICC2004 Madison, Wisconsin

Assoc iazione Eu ratom -ENEA sulla Fu si one

Multi-Pinch Cathode

•Multi-Pinch test is proposed with a limited number of cathode coils(18 Vs. 378)

•Coils will drive a total limited current (2.7 kA vs. 60 kA) inside the pinch, simplifying the power supply for the Multi-Pinch

•Each coil will be capable of delivering the design current (150 A)

Conical terminal & clamp

Wire Length = 400 mm

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Mo support

W wires

Page 17: ICC2004 Madison, Wisconsin The Multi-Pinch Experiment Outline PROTO-SPHERA purpose & aims Theoretical basis & analysis Multi-Pinch: a step towards PROTO-SPHERA

ICC2004 Madison, Wisconsin

Assoc iazione Eu ratom -ENEA sulla Fu si one

Conclusions•PROTO-SPHERA aims to explore the feasibility of a ST formed around a SP, with respect to the possibility to sustain it through Helicity Injection on resistive time scale

•An exhaustive range of PROTO-SPHERA scenarios has been investigated (resilience of the equilibria Vs. internal profile & ideal MHD stability boundaries)

•The Multi-Pinch experiment will investigate the feasibility of a stable mushroom-shaped Screw Pinch

•Multi-Pinch will be built inside the START vacuum vessel, PROTO-SPHERA can be obtained with a modular implementation of this experiment

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