Electrical Synchronous Machine and Method for at Least Partially Circumferentially Producing an Electrical Synchronous Machine

An electrical synchronous machine is provided for a rail-free vehicle. The vehicle has drive wheels and the synchronous machine is designed to generate a torque, which propels the vehicle, at the drive wheels. The synchronous machine has a stator and a rotor which rotates around the stator, wherein the stator has a stator winding of at least three-phase construction for forming a rotating stator magnetic field, and wherein the rotor has at least one rotor winding which is designed for forming a rotor magnetic field. A method for at least partially circumferentially establishing a current-excited synchronous machine provides a rotor yoke, provides a large number of rotor poles, fastens the rotor poles to the rotor yoke for forming a rotor, provides a stator, and inserts the stator into the rotor.