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This paper proposes parameterized models to predict core losses in the stator and rotor of a caged induction machine. The parameters are identified from results of finite element simulations, using a differential evolution search algorithm. To account for flux distribution and frequency characteristics, it is found that variable flux power coefficients for hysteresis terms are required for both stator and rotor. In addition, a rotor core loss coefficient is necessary. The proposed model is compared with FE results and experimental data.