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The inclusion of eddy currents in electrical steel sheets in a two-dimensional (2-D) finite element analysis is studied. For the eddy-current modeling of the sheets a so-called one-dimensional (1-D) approach is applied. Two different techniques for representing the 1-D eddy-current solution within the 2-D field equations are shown. The properties of the two techniques are analyzed by utilizing two simple example geometries. The implementations of the computational algorithm of the coupled 2-D-1-D method are verified by analytical equations. A proper coupling method that accords with the computation results is suggested.