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This paper develops a new space-vector dynamic model of the induction machine, including stator and rotor slotting effects. With this approach, the slotting effect is considered only in the stator and rotor leakage variation. The model has been also rewritten in a space-vector state form useful for control applications, since it contains the information of the rotor position. This model works with both low- and high-frequency supplies, differently from most control models, including slotting effects, which usually model only the high-frequency behavior of the machine. The model has been implemented in numerical simulation and verified experimentally on three motors with the same stator and three different rotor configurations. Experimental results confirm the goodness of the model and are in accordance with the results in the literature.