Statistical analysis for HTS coil considering inhomogeneous Icdistribution of HTS tape

Abstract

Abstract 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 initiatedin fixed location on the coil. However, the actual HTS tape has in homogeneous 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 assumed 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.