A method for designing cylindrical hollow superconducting
shields for cryogenic measurement devices operating in background fields of
1 T is proposed. The shield design is based on MgB2 composite,
manufactured by the reactive Mg liquid infiltration process [1]. The
MgB2 composite allows low-cost shields with good mechanical resistance
to be realized easily. The geometrical design is benchmarked by the
experimental characterization at 4.2 K. A design case study for the shield
of a cryogenic DC current transformer is reported. Design results show a
shielding efficiency of 70% for both the axial and radial components,
with prospective measurement accuracy up to 10 ppm on 100 kA.