Synchronous machine with Statorkühleinrichtung

The synchronous machine (6) comprises a superconductive rotor coil, for example, and to be cooled, normally conducting stator winding (11). The stator winding (11) is at least partly in a support structure (14) having a hollow cylindrical, soft-magnetic outer body (13) and axially and radially extending web-like supporting teeth (21i) of non-magnetic material is arranged. An outer housing (15) with hollow cylindrical housing portion (15a) surrounds the outer body (13). It is a cooling of the group consisting of a non-magnetic material housing portion (15a) may be provided at least in partial regions by means of a cooling medium (K), wherein a thermal coupling of the stator winding (11) to the cooling medium (K) on the support structure (14) and the housing part (15a) is carried out. For this purpose should at least partially λ of a material having a thermal conductivity K · m of more than 10 W / K · m exist, the support teeth (21i).