  We reveal obstacles related to the application of HTS cylinders in current
limiting devices based on the superconducting - normal state transition. It is
shown that, at the critical current density achieved presently in bulk
materials, and especially in BSCCO-2212, the required thickness of the cylinder
wall in a full-scale inductive device achieves several centimeters. A simple
mathematical model of the operation of an inductive fault current limiter (FCL)
is used to show that such cylinders cannot be cooled in admissible time after a
fault clearing and, hence, the inductive FCLs and current-limiting transformers
employing BSCCO cylinders do not return to the normal operation in the time
required. For the recovery even with a non-current pause in the circuit, the
cylinders are needed with the critical current density by an order higher than
the existed ones.
