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Analytical solution of tokamak vibrations during axisymmetric plasma disruptions
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SYSNO ASEP 0555331 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Analytical solution of tokamak vibrations during axisymmetric plasma disruptions Author(s) Ortwein, R. (PL)
Świerblewski, J. (PL)
Hromádka, Jakub (UFP-V)
Kovařík, Karel (UFP-V) RID, ORCID
Havlíček, Josef (UFP-V) RID, ORCID
Šesták, David (UFP-V) RID
Patel, Nisarg (UFP-V)
Yanovskiy, Vadim (UFP-V) ORCID
Pánek, Radomír (UFP-V) RIDNumber of authors 9 Article number 112997 Source Title Fusion Engineering and Design. - : Elsevier - ISSN 0920-3796
Roč. 174, January (2022)Number of pages 22 s. Language eng - English Country CH - Switzerland Keywords Analytical ; compass-u ; Dynamic analysis ; Net forces ; Tokamak ; Transient Subject RIV BL - Plasma and Gas Discharge Physics OECD category Fluids and plasma physics (including surface physics) R&D Projects EF16_019/0000768 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Method of publishing Limited access Institutional support UFP-V - RVO:61389021 UT WOS 000779058700003 EID SCOPUS 85122633313 DOI 10.1016/j.fusengdes.2021.112997 Annotation Tokamaks are structures containing a massive supporting structure housing a vacuum vessel with hot plasma. Due to the vacuum vessel heating and temperatures up to 500 ⁰C as for the COMPASS-U, flexible connections need to be used between the main support and the vacuum vessel to accommodate the thermal expansion. Large electromagnetic forces are generated during plasma disruption events, such as Vertical Displacement Events (VDE), inside the vacuum vessel and in the coil system: Central Solenoid (CS), Poloidal Field (PF) coils and Toroidal Field (TF) coils directly attached to the support. In the present paper a parametric analytical model of tokamak vibrations due to axisymmetric plasma disruptions was presented, allowing predictions of the vacuum vessels and the main tokamak structure displacements, velocities and accelerations as well as the dynamic forces transmitted to the foundations. A tokamak was modelled as a 2 DOF dynamic system, including the mass of the main support and the vacuum vessel and the axial stiffnesses and damping values of their supports. A close-form analytical solution was found assuming proportional (Rayleigh) damping for the most general shape of the force functions – described with a series of piecewise linear functions. The electromagnetic forces during axisymmetric VDE were derived from a dedicated 3D model. Detailed solution for the most recent design of the COMPASS-U tokamak was presented, as well as a number of parametric studies checking the sensitivity to the design parameters. The conditions at which large part of the electromagnetic force is transmitted to the concrete foundations were identified. The accuracy of the derived analytical solution was verified with direct numerical integration of the equations of motion. Workplace Institute of Plasma Physics Contact Vladimíra Kebza, kebza@ipp.cas.cz, Tel.: 266 052 975 Year of Publishing 2022 Electronic address https://www.sciencedirect.com/science/article/pii/S0920379621007729?via%3Dihub
Number of the records: 1