A good cooling is essential to stabilize superconducting wires. Internally cooled superconducting wires or hollow superconductors have many advantages over conventional supercondutors which are cooled by immersion in liquid helium.
The stability characteristics of hollw conductors are quite different from those of the conventional superconductors. This chapter is on the stability analyses of the hollow conductors. In section 2, the steady state stability is analyzed. In section 3, the propagation velocities of the normal regions are investigated. In section 4, the transient temperature distributions are calculated by solving numelically the thermal equilibrium equations of hollow condctors or superconducting cableh which are subjected to heat pulses.