Modelling stability in superconducting cables

Abstract Stability is one of the key issues in the design of a superconductor, and indeed deserves much attention in the magnet design and analysis. Stability-oriented design procedures and calculations involve the detailed knowledge of the response of the cable to thermal, fluid dynamic and electric transient phenomena that are difficult to tackle analytically in cables. This has justified a significant numerical modelling effort in the field. This paper reviews basic stability models and presents selected advances in the methods developed and results obtained. A unified, semi-continuum model is proposed for stability analysis of cables. The time scales of relevance during stability transients are identified and analysed.

[1]  M.N. Wilson,et al.  Superconducting magnets for accelerators: a review , 1997, IEEE Transactions on Applied Superconductivity.

[2]  M. Wake,et al.  Thermal stability of high current density magnets , 1979 .

[3]  Luca Bottura,et al.  A Numerical Model for the Simulation of Quench in the ITER Magnets , 1996 .

[4]  PERIODICITY OF CROSSOVER CURRENTS IN A RUTHERFORD-TYPE CABLE SUBJECTED TO A TIME-DEPENDENT MAGNETIC FIELD , 1994 .

[5]  Y. Iwasa,et al.  Transient stability of a NbTi cable-in-conduit superconductor , 1988 .

[6]  Roberto Zanino,et al.  A two-fluid code for the thermohydraulic transient analysis of CICC superconducting magnets , 1995 .

[7]  M. Chyu,et al.  Prediction of superconductor behaviour when subjected to a local thermal disturbance , 1994 .

[8]  L. Krempaský,et al.  Theory of ‘‘supercurrents’’ and their influence on field quality and stability of superconducting magnets , 1995 .

[9]  L. Bottura,et al.  Computer analysis of the thermohydraulic measurements on CEA dummy cables performed at CEN-Grenoble , 1995 .

[10]  R. Wolf,et al.  Calculation of minimum quench energies in Rutherford cables , 1997, IEEE Transactions on Applied Superconductivity.

[11]  A. Devred Investigation of current redistribution in superstabilized superconducting winding when switching to the normal resistive state , 1989 .

[12]  L. Dresner Twenty years of cable-in-conduit conductors: 1975–1995 , 1995 .

[13]  M. Nishi,et al.  Experimental results on instability caused by non-uniform current distribution in the 30 kA NbTi Demo Poloidal Coil (DPC-U) conductor , 1994 .

[14]  R. Zanino,et al.  A comparison between 1- and 2-fluid simulations of the QUELL conductor , 1997, IEEE Transactions on Applied Superconductivity.

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

[16]  A. Verweij,et al.  Super coupling currents in Rutherford type of cables due to longitudinal nonhomogeneities of dB/dt , 1995, IEEE Transactions on Applied Superconductivity.

[17]  L. Bottura,et al.  Stability analysis of NET TF and PF conductors , 1988 .

[18]  R. Jayakumar Critical energy of superconducting composites , 1987 .

[19]  L. Bottura,et al.  Modelling of dual stability in a cable-in-conduit conductor (for NET) , 1991 .