A superconducting magnet system for generating a magnetic field in the direction of a z axis in a working volume disposed about z=0 with at least one current-carrying magnet coil (M) and with at least one additional, superconductingly closed current path (P1, . . . , Pn), which can react inductively to the changes of the magnetic flux through the area enclosed by it, wherein the magnetic fields in the z direction in the working volume which are produced by these additional current paths during operation and due to induced currents, do not exceed a magnitude of 0.1 Tesla, is characterized in that, when an additional disturbance coil (D) produces a substantially homogeneous disturbance field in the magnet volume, the diamagnetic expulsion of the disturbance field from the main magnet coil is taken into consideration when designing the magnet coil(s) and the current paths. This permits straightforward modification of a conventionally calculated magnet arrangement to optimize the actual disturbance behavior of the system.