Statistical analysis for HTS coil considering inhomogeneous I_c distribution of HTS tape

Critical current of high-temperature superconducting (HTS) coil is influenced by its own self magnetic field. Direction and density distribution of the magnetic field around the coil are fixed after the shape of the coil is decided. If the entire part of the HTS tape has homogeneous I_c distribution characteristic, quench would be initiated in fixed location on the coil. However, the actual HTS tape has inhomogeneous I_c distribution along the length. If the I_c distribution of the HTS tape is known, we can expect the spot within the HTS coil that has the highest probability to initiate the quench. In this paper, I_c distribution within the HTS coil under self-field effect is simulated by MATLAB. In the simulation procedure, I_c distribution of the entire part of the HTS tape is assume d to follow Gaussian-distribution by central limit theorem. The HTS coil model is divided into several segments, and the critical current of each segment is calculated based on the-generalized Kim model. Single pancake model is simulated and self-field of HTS coil is calculated by Biot-Savart’s law. As a result of simulation, quench-initiating spot in the actual HTS coil can be predicted statistically. And that statistical analysis can help detect or protect the quench of the HTS coil.