Abstract: A variable-reluctance rotating dynamoelectric machine is provided with, for each single-phase structure A, B, and C, two rows of airgaps 5-27, 6-28 having the same radius Re connected to each other by means of angular sectors, one of which surrounds stator conductors 8 in the shape of a torus. The sectors are arches 9, 22 each constituted by a stack of strips of sheet metal which are bent along axes X perpendicular to the axis of rotation Z. A pair of arches 9, 22 is formed by cutting a wound and bonded ring of thin magnetic sheet having oriented grains. Cutting by wire-type spark erosion results in the formation of several pairs of teeth per arch. A rotor winding in the shape of a torus or a rotor permanent magnet can complete the machine. The machine is applicable to reluctance motors for vehicle traction, which can also recharge a storage battery.