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The geometrical feature of the skewed rotor slots in induction motors makes the 2-dimensional (2-D) finite element method (FEM) not directly applicable. Based on the multi-slice model in this paper, a time stepping 2-D eddy-current FEM is described to study the steady-state operation and the starting process of induction machines with skewed rotor slots. The fields of the multi-slices are solved in parallel, and thus the effects of skewed slots and eddy-current can be taken into account directly. The basic formulas for the multi-slice model are derived. Special technique to reduce computation time in solving the coupled system equations is also described. The results obtained by using the program developed have very good correlation with the test data.