TY - JOUR

T1 - Scaling law for voltage–current curve of a superconductor tape with a power-law dependence of electric field on a magnetic-field-dependent sheet current density

AU - Li, Shuo

AU - Chen, Du Xing

PY - 2017/7/15

Y1 - 2017/7/15

N2 - © 2017 Systematic theoretical study on the voltage (V) vs. current (I) curves of high-Tc superconductor (HTS) thin tapes has not been done till now, although their measurements are frequently used for determining critical current Ic at electric field E≡V/lv=Ec=10−4 V/m, lv being the voltage tap distance. On the other hand, it is well recognized that such tapes obey a power-law dependence of local electric field on local sheet current density with a Kim-model critical sheet current density, from which the V vs. I curve may be calculated as a function of current ramp rate R. Such calculations are carried out in the present work with a scaling law deduced, which states that if E/Ec vs. I/Ic is a solution at given apparent power-law exponent na and R/Ec, then this R/Ec multiplied by a constant C leads to another solution with E/Ec and I/Ic multiplied by C and C1/na, respectively. In the help of the scaling law, condition-dependent V vs. I may be studied systematically and completely based on a limited amount of numerical computations and V−I curve measurements may be performed under properly controlled conditions to become a more powerful tool for HTS research.

AB - © 2017 Systematic theoretical study on the voltage (V) vs. current (I) curves of high-Tc superconductor (HTS) thin tapes has not been done till now, although their measurements are frequently used for determining critical current Ic at electric field E≡V/lv=Ec=10−4 V/m, lv being the voltage tap distance. On the other hand, it is well recognized that such tapes obey a power-law dependence of local electric field on local sheet current density with a Kim-model critical sheet current density, from which the V vs. I curve may be calculated as a function of current ramp rate R. Such calculations are carried out in the present work with a scaling law deduced, which states that if E/Ec vs. I/Ic is a solution at given apparent power-law exponent na and R/Ec, then this R/Ec multiplied by a constant C leads to another solution with E/Ec and I/Ic multiplied by C and C1/na, respectively. In the help of the scaling law, condition-dependent V vs. I may be studied systematically and completely based on a limited amount of numerical computations and V−I curve measurements may be performed under properly controlled conditions to become a more powerful tool for HTS research.

KW - Kim model

KW - Power-law E(J) relation

KW - Scaling law

KW - Superconductor tape

KW - Voltage–current curve

U2 - 10.1016/j.physc.2017.05.004

DO - 10.1016/j.physc.2017.05.004

M3 - Article

VL - 538

SP - 32

EP - 39

JO - Physica C: Superconductivity and its Applications

JF - Physica C: Superconductivity and its Applications

SN - 0921-4534

ER -