Abstract The features of the Joule's energy dissipation in a composite high-temperature superconductor with a power equation of the voltage-current characteristic cooled by liquid helium or hydrogen are discussed. It is shown that the non-standard thermal stabilization conditions of composite superconductors can exist if the nonlinear temperature dependences of the electrical resistivity of the stabilizing matrix and heat flux to liquid refrigerant are considered. First, there may be no minimum currents of the existence and propagation of a normal zone. Second, the intensive cooling of a composite superconductor by liquid refrigerant significantly increases the range of the stable currents, which leads to the existence of the supercritical applied currents. Third, an increase in the temperature of a composite superconductor may occur under the conditions close to adiabatic during irreversible propagation of the thermal instability despite its intensive cooling by liquid refrigerant. This effect must be considered when determining the burnout conditions of a composite superconductor. The performed numerical experiments are compared with the results obtained from the existing thermal stabilization theory of the composite superconductors, which is based on the linear temperature dependence of the critical current density of superconductor and jump-like transition from the superconducting state to the normal.

中文翻译：

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复合超导体热稳定理论的特点：耗散态的非线性描述

摘要 用液氦或液氢冷却的电压-电流特性功率方程讨论了复合高温超导体焦耳能量耗散的特征。结果表明，如果考虑稳定基体的电阻率和液态制冷剂的热通量的非线性温度依赖性，则复合超导体的非标准热稳定条件可以存在。首先，正常区域的存在和传播可能没有最小电流。其次，液态制冷剂对复合超导体的强烈冷却显着增加了稳定电流的范围，从而导致了超临界外加电流的存在。第三，在接近绝热的条件下，复合超导体的温度升高可能发生在热不稳定性的不可逆传播期间，尽管它被液体制冷剂强烈冷却。在确定复合超导体的燃尽条件时必须考虑这种影响。进行的数值实验与现有的复合超导体热稳定理论的结果进行了比较，该理论基于超导体临界电流密度的线性温度依赖性和从超导状态到正常状态的跳跃状转变。在确定复合超导体的燃尽条件时必须考虑这种影响。进行的数值实验与现有的复合超导体热稳定理论的结果进行了比较，该理论基于超导体临界电流密度的线性温度依赖性和从超导状态到正常状态的跳跃状转变。在确定复合超导体的燃尽条件时必须考虑这种影响。进行的数值实验与现有的复合超导体热稳定理论的结果进行了比较，该理论基于超导体临界电流密度的线性温度依赖性和从超导状态到正常状态的跳跃状转变。