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This paper deals with the three-dimensional finite-element (FE) calculation of eddy currents in the claws of a claw-pole alternator taking the rotational geometry movement into account. For this calculation a transient edge-based formulation is utilized. The generation of the FE model with a special focus on the discretization of eddy-current regions and air gap is presented. The main intention lies in determining the eddy-current losses in the rotor claws in generator mode at constant speed. Since highspeed and high material conductivity leads to divergence, underrelaxation of the material conductivity in the claws is conducted.Index Terms-Eddy currents, finite-element calculations, rotating machines, transient lock step method.