Quench development in long HTS objects - the possibility of "blow-up" regimes and a heat localization

The qualitative analysis of the quench development in long HTS objects has been performed based on the general physical study of so-called "blow-up" regimes. Blow-up processes with strong heat localization in HTS objects with overcurrent are possible. Heat localization appears due to general instability in a media with nonlinear parameters that is valid for HTS. The sizes of overheated area and time of the heat localization development has been evaluated for typical parameters of HTS power cables.