A new cryostat cooled by a closed-cycle Cryomech GB-37 cryocooler for super
conductor measurements at temperatures down to 20 K is described. The sampl
e is conductively coupled to the cold stage so as to minimize vibration and
thermal stresses. AC losses have been measured calorimetrically in several
high-temperature superconductors coils that have been wound to simulate su
bscale transformer winding pairs. Stable temperatures down to 20 K were rea
ched on these coils, allowing measurements at practical levels of ac curren
t and I-c. By using short ac current pulses, losses on individual turns cou
ld be resolved. Results are reported mainly to showcase the apparatus, meas
urement procedure, and analytical approach.