Supercurrents were recently identified as a source of reduced magnet stabil
ity which can explain the measured ramp rate limitation in large supercondu
cting magnets. They also explain an unexpected periodic field modulation al
ong the axes of superconducting accelerator dipoles. Supercurrents are extr
a coupling currents between the strands of a cable which are induced by a v
ariable field sweep rate (B)over dot(x) along the length of the cable. They
flow over the whole cable length and have time constants many orders of ma
gnitudes larger than 'normal' interstrand coupling currents. Supercurrents
may lead to a highly inhomogeneous current distribution and to additional c
oupling losses ('supercurrent losses'), even in magnet sections with (B)ove
r dot = 0. Both effects can drastically reduce the magnet stability during
fast ramping up. The complete solution of the space and time dependence is
given for a two-strand model cable. The theory of supercurrents can explain
typical results of ramp rate limitation in large magnets. (C) 1998 Elsevie
r Science B.V. All rights reserved.