There are two interesting phenomena for the electrical contact characteristics of YBCO bulk. One is the transition between low and high contact resistance states at a threshold current value which is called a transfer current; the other is the forming reason of the residual resistance when the carrying current is lower than the transfer current. In this paper, an axial symmetric model is constructed to investigate these two phenomena. During the calculation, the thermal field, the electrical field and the self magnetic field are coupled with each other. The detailed fields' distributions are obtained. The calculation results are accordance with the experimental results. And some useful conclusions are drawn based on the numerical analyses.
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