Coupling of Magnetothermal and Mechanical Superconducting Magnet Models by Means of Mesh-Based Interpolation

In this paper, we present an algorithm for the coupling of magnetothermal and mechanical finite element models representing superconducting accelerator magnets. The mechanical models are used during the design of the mechanical structure as well as the optimization of the magnetic field quality under nominal conditions. The magnetothermal models allow for the analysis of transient phenomena occurring during quench initiation, propagation, and protection. Mechanical analysis of quenching magnets is of high importance considering the design of new protection systems and the study of new superconductor types. We use field/circuit coupling to determine temperature and electromagnetic force evolution during the magnet discharge. These quantities are provided as a load to existing mechanical models. The models are discretized with different meshes and, therefore, we employ a mesh-based interpolation method to exchange coupled quantities. The coupling algorithm is illustrated with a simulation of a mechanical response of a standalone high-field dipole magnet protected with Coupling-Loss Induced Quench Technology.

[1]  S. Caspi,et al.  Toward Integrated Design and Modeling of High Field Accelerator Magnets , 2006, IEEE Transactions on Applied Superconductivity.

[2]  L. Rossi,et al.  Design, Assembly, and Test of the CERN 2-m Long 11 T Dipole in Single Coil Configuration , 2015, IEEE Transactions on Applied Superconductivity.

[3]  D. Logan A First Course in the Finite Element Method , 2001 .

[4]  H. De Gersem,et al.  Finite-element models for superconductive cables with finite interwire resistance , 2004, IEEE Transactions on Magnetics.

[5]  Sebastian Schöps,et al.  Optimized Field/Circuit Coupling for the Simulation of Quenches in Superconducting Magnets , 2017, IEEE Journal on Multiscale and Multiphysics Computational Techniques.

[6]  A. P. Verweij,et al.  STEAM: A Hierarchical Cosimulation Framework for Superconducting Accelerator Magnet Circuits , 2018, IEEE Transactions on Applied Superconductivity.

[7]  A. Verweij,et al.  New, Coupling Loss Induced, Quench Protection System for Superconducting Accelerator Magnets , 2014, IEEE Transactions on Applied Superconductivity.

[8]  A. Verweij ELECTRODYNAMICS OF SUPERCONDUCTING CABLES IN ACCELERATOR MAGNETS , 2004 .

[9]  R. Perin Superconducting magnets , 1982, Nature.

[10]  Emmanuele Ravaioli,et al.  CLIQ. A new quench protection technology for superconducting magnets , 2015 .

[11]  S. Schöps,et al.  A 2-D Finite-Element Model for Electrothermal Transients in Accelerator Magnets , 2018, IEEE Transactions on Magnetics.

[12]  U. van Rienen,et al.  Coupled Calculation of Electromagnetic Fields and Mechanical Deformation , 2006 .

[13]  Friedrich Lackner,et al.  Design Optimization of the Nb3Sn 11 T Dipole for the High Luminosity LHC , 2017, IEEE Transactions on Applied Superconductivity.