The methods and devices enable a reliable and rapid automatic threading process on spark-erosive wire-cutting machines with closed round guides without complicated entry of parameters. A heat-output control device with an optimized output characteristic curve is supplied from a DC voltage source of the erosion generator. Through an at least partial feedback loop of heating current and source voltage, the characteristic curve is modified in such a way that different wire types or different annealing lengths for the wire provide optimal results for stretching, straightening and separating the wire electrode without controlled intervention. With adaptive control it is possible to thread future wire types automatically without reprogramming.