The Magnet technology of a high-temperature superconductor (HTS) with a con
duction cooling system by a GM cryocooler has been advanced. It is very imp
ortant to understand the thermal and electromagnetic phenomena in HTS tapes
for HTS coil design. We have measured the quench characteristics of HTS ta
pes with a conduction cooling system of a GM cryocooler and developed a com
puter program based on the finite element method (FEM) to investigate the t
hermal and electromagnetic behaviors within HTS tapes, From these experimen
tal and analytical results, the validity of the computer program has been c
onfirmed. In this paper, we discuss a stability criterion for cryocooler-co
oled HTS coils by using the computer program. The current at which "thermal
runaway" occurs, which depends on the relationship between the cooling pow
er of the GM cryocooler and the heat generation within HTS coils, is chosen
as a stability criterion. We also investigate the transient thermal and el
ectromagnetic behavior in HTS coils.