Applied Physics and Mathematics Annotation << Back Local overheating at quenchingof high temperature superconducting tapes Rakhmanov A.L.Ivanov S.S.Balashov N.N.Degtyarenko P.N. In many experiments it was observed that the quenching to a normal state of current-carrying HTSC wires, tapes or films were followed by the sample local destruction due to overheating. This undesirable effect can be naturally explained within the framework of the model of the blow-up overheating instability, which is characteristic for systems with strong non-linearity of the heat release. The locality of the overheating is also enhanced in the studied regimes since the normal phase propagation velocity along a HTSC sample is very low at the liquid nitrogen temperature. In our analysis we use parameters characteristic of the HTSC tapes of the second generation. We derive analytical expressions to describe the time evolution of temperature and the dimension of the hot region. It was shown that the time evolution of the maximum overheating temperature is described by ordinary non-linear differential equation of the first order. As a result, we can understand why the quench dynamics in HTSC is well described within framework of the model with uniform heating with effective value of the heat release. Renormalization of the latter occurs due to the heat transfer along the conductor. Key words: high-temperature superconductor, tapes, quench, normal zone propagation, blow-up instability. Contacts: E-mail: ssi501@mail.ru Pp. 68-73.