“…For example, in the experiments for a SMES conductor, there has been observed, as it is called, a traveling normal zone [7,8], which showed that the initiated normal zone propagated forward and recovered a t the back end with a typical time scale corresponding to the current diffusion time in the aluminum stabilizer. Appearance of such a traveling normal zone should be treated as an important issue not only from the view point of cryogenic stability, but also of Manuscript received September 14, 1998. continuous heat load on a magnet system as well.…”