Damping of flux jumping by flux-flow resistance

Critical state stability in type-II superconductors and superconducting-normal-metal composites

“…In a number of cases, such materials can be regarded as an effective homogeneous anisotropic medium (Hart, 1969;Carr, 1974Carr, , 1975aCarr, , 1975bDuchateau and Turk, 1975a, l975b;Kremlev et al , 1976aKremlev et al , , 1977. The parameters ot' such a medium are found by averaging their local values over a region containing a rather high number of elements of the composite structure.…”

“…The study of the critical state stability and the dynamics of perturbation'development is carried out by means of linear analysis of the stability of the solutions of the Maxwell and heat equations (Hart, 1968;Kremlev, 1973Kremlev, , 1974Turk, 1975a, 1975b;Mints and Rakhmanov, 1975b). We shall briefly describe this method below.…”

“…Let us now write conditions (2) and (3) in algebraic form, for example, in application to multif ilament composites (Kremlev et al , 1976a(Kremlev et al , , 1977. The smallest scale on which, for y» 1, the solutions to Eqs.…”

Thermo-magnetic instabilities in Nb₃Sn superconducting accelerator magnets

“…This section shows a less restrictive criterion which takes into account the dynamic effect of thermal diffusion inside the conductor. These criteria are derived by linearizing the full set of the equations which describe thermo-magnetic instabilities, including the thermal diffusion [73,74,75,76,77,78]. Also presented will be how these criteria affect the strand design.…”

Magnetothermal instabilities in type II superconductors

“…[5,6] for a linear voltage-current characteristics of superconductor in the framework of adiabatic approximation i.e., assuming that the thermal diffusion, is much smaller than the magnetic flux diffusion. The criterion for the stability of the critical state in the case of dynamic approximation was obtained by Kremlev [7]. The general concept of the magnetic instabilities in type-II superconductors was developed in literature [8].…”