Simulation of Chain of Quenches on Toroidal HTS-SMES Taking Account of $B-J-\theta$ Characteristics

Recently, many HTS-SMES systems have been designed and investigated in many countries. They usually consist of some superconducting element coils owing to effectively storing excessively high energy. If one of the superconducting element coils transition into a resistive state, the energy stored in the resistive superconducting element coil has to be immediately dispersed by a shunt resistor to prevent the superconducting conductor from burning. However, the electromagnetic behavior of the HTS-SMES with some resistive superconducting element coils has not yet been well investigated. Therefore, we have developed a simulation code to investigate the electromagnetic behavior of the HTS-SMES magnet after one or more superconducting element coils transitions into the resistive state. In the simulation, the magnetic field analysis and the electrical circuit analysis are coupled with the critical current calculation considering the characteristics of HTS tape. By the electromagnetic simulation, it is indicated that a chain of quenches is caused by the quench of one element coil.