Wire wrapping machines are used to manufacture coils, transformers and motor windings. The wire is wrapped from a coil directly on to the coil form or a template under an adjustable tensile force. Depending on the winding speed, the acentric geometry of the body to be wrapped produces fluctuating tensile forces that influence the process. The better the resulting tensile force peaks on the wire are limited by a high-performance control, the better the quality of the wrapped part. On the other hand, a higher speed limit during winding can also be achieved.