Numerical Study of Superconducting-Tape Thermal Stability under the Effect of a Two-Dimensional Hyperbolic Heat Conduction Model

Thermal stability of a superconducting tape subjected to thermal disturbances under the effect of a two-dimensional hyperbolic heat conduction model is numerically investigated. The thermal inertia of the material, the finite speed of heat transfer, the temperature dependence of the Ohmic heat generation, and the finite duration and finite length of the thermal disturbances are taken into consideration in the mathematical model. Two types of superconductor tapes are considered, Types II and I. It is found that hyperbolic model predicts a wider stable region as compared to the predictions of its parabolic counterpart, the hyperbolic model shows a higher peak at early stages and the difference between the two models is significant at higher values of disturbance intensity and smaller values of time. The effects of different design, geometrical and operating conditions on superconducting tape thermal stability are also studied.