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1 Associazione Euratom-ENEA sulla Fu sione The Multi-Pinch Experiment Franco Alladio, Alessandro Mancuso, Paolo Micozzi, 1Stamos Papastergiou and 2François Rogier CR-ENEA, CP 65, 00044 Frascati (Roma), Italy 1Euratom-Enea ,2ONERA Toulouse, France Outline • PROTO-SPHERA purpose & aims • Theoretical basis & analysis • Multi-Pinch: a step towards PROTO-SPHERA • Conclusions ICC2004 Madison, Wisconsin Associazione Euratom-ENEA sulla Fu sione 2 PROTO-SPHERA Aims at producing a spherical torus (ST) with a screw pinch (SP) replacing the centerpost Ie, Ip = 40, 50 kA pinch, ST currents Ie, Ip = 60, 240 kA A = 1.6 aspect ratio A ≤ 1.3 tpulse = 80 ms~110 tA pulse duration tpulse ≥ 70 ms~1 tR Goals: sustain the plasma (Helicity Injection SPST) for more than tR=m0a2/h (resistive time) and compare tE with START ICC2004 Madison, Wisconsin 3 Associazione Euratom-ENEA sulla Fu sione PROTO-SPHERA & Spheromaks (TS-3) Two important requirements are different for the PROTO-SPHERA equilibria with respect to Flux-Core-Spheromaks like TS-3: 1) 2) Tokamak-like safety factor profile of ST: q0~0.94, q95~2.6 at the edge Strong jump of the surface averaged relaxation parameter <m>=m0<j•B/B2> between SP and ST Helicity Injection (m~35 m-1 inside SP, m~10 m-1 inside ST) PROTO-SPHERA (Rsph=0.35 m) has been designed in order to be as far as possible from the pure Spheromak mSTRsph≤4.49 eigenvalue ICC2004 Madison, Wisconsin 4 Associazione Euratom-ENEA sulla Fu sione Physics & Engineering Design ST diameter = 0.7 m Toroidal plasma current Ip= 240 kA Aspect ratio A = 1.2 Elongation k = 2.35 Pinch current Ie= 60 kA Engineering design complete (geometry, stresses and temperatures) ICC2004 Madison, Wisconsin 5 Associazione Euratom-ENEA sulla Fu sione Main Breakdown features Proto-Pinch Testbench (Ie~ 700 A) 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 ICC2004 Madison, Wisconsin 6 Associazione Euratom-ENEA sulla Fu sione Theoretical analysis of the PROTO-SPHERA configuration Ideal MHD Equilibria: • formation phase fully analyzed • equilibrium resilience checked by varing the functional forms of p(y) & f(y) 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 ICC2004 Madison, Wisconsin 7 Associazione Euratom-ENEA sulla Fu sione PROTO-SPHERA Equilibria: Ip=180 kA, Ie= 60 kA, = 0.22 All equilibria has been obtained with the same coils set ICC2004 Madison, Wisconsin 8 Associazione Euratom-ENEA sulla Fu sione n=1 PROTO-SPHERA Stability Results n=1,2,3 investigated for all equilibria Main constraint IST/Ie Stability obtained for: • b = 21÷26% , IST/Ie= 0.5 - 1 • b = 14÷15% , IST/Ie= 2-4 With bT0=2m0<p>vol/< BT 0>vol • bT0=28÷29% , IST/Ie= 0.5 - 1 • bT0=72÷84% , IST/Ie= 2-4 2 The dominant instabilities are: • up to IST/Ie≈3 Spherical Torus instabilities • IST/Ie> 3 Screw Pinch kink instabilities IST/Ie = 5 and b15% Unstable ICC2004 Madison, Wisconsin 9 Associazione Euratom-ENEA sulla Fu sione Results for axisymmetric stability (n=0) Pinch Magnetic Structure prevents n=0 Vertical ULART Drift PROTO-SPHERA n=0 stable for any scenarios up to R/a = 1.2 k<4 Instabilities growth rate for free boundary codes (vacuum contribution fully included) Mode numbers n=0, m=[-15,+15] Ulart Magnetic Structure prevents Radial Pinch Drift ICC2004 Madison, Wisconsin 10 Associazione Euratom-ENEA sulla Fu sione Theoretical work to be done 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 ICC2004 Madison, Wisconsin 11 Associazione Euratom-ENEA sulla Fu sione Possible evolution of the PROTO-SPHERA proposal PROTO-SPHERA can be viewed as a simplification of the Chandrasekar-Kendall-Furth (CKF) configurations (stable up to b ~ 1) Screw Pinch replaces in part the surrounding discharge Divertor PF coils replace the secondary tori ICC2004 Madison, Wisconsin 12 Associazione Euratom-ENEA sulla Fu sione Multi-Pinch Experiment 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 reutilized in PROTO-SPHERA START vacuum vessel (already in Frascati) - 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) ICC2004 Madison, Wisconsin 13 Associazione Euratom-ENEA sulla Fu sione Multi-Pinch Experiment (first phase) Cathode plasma only is mushroom-shaped Power density on the “single” anode ~ PROTO-SPHERA ICC2004 Madison, Wisconsin 14 Associazione Euratom-ENEA sulla Fu sione Multi-Pinch Experiment (second phase) Anode & Cathode plasma mushroom-shaped Definitive PROTO-SPHERA Anode Possibility of arc anchoring needs of saddle coils? ICC2004 Madison, Wisconsin 15 Associazione Euratom-ENEA sulla Fu sione Multi-Pinch Cathode Definitive PROTO-SPHERA Cathode, but only partially filled ICC2004 Madison, Wisconsin 16 Associazione Euratom-ENEA sulla Fu sione Multi-Pinch Cathode W wires Mo support Wire Length = 400 mm Conical terminal & clamp •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) ICC2004 Madison, Wisconsin 17 Associazione Euratom-ENEA sulla Fu sione 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 ICC2004 Madison, Wisconsin