The invention relates to an electrical machine (1, 110), which is in particular a synchronous machine, which has a primary part (3, 130) and a secondary part (5, 120), wherein the primary part (3, 130) has a) a first means (9) for producing a first magnetic field and b) a further means (17, 27, 29) for producing a further magnetic field, which in particular is an exciter field, and wherein the first means (9) has at least one winding, and the further means (17, 27, 29) is arranged in the region of an active air gap (21) of the electrical machine between the primary part and the secondary part and has magnetic poles, each having at least one permanent magnet (17).