It is demonstrated how to apply the theory of the thermal quench for the design of HTS
magnets. Such issues as limiting quench current and quench development time, important for coil protection, are considered with their dependence on cooling and material parameters (“critical current,” index n, etc). The practical methods of determining of important quench parameters are considered. The quench development in HTS and LTS devices is compared. The analysis and evaluation methods are supported by comparison with experimental data from different HTS devices’ tests.