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This article presents the three-dimensional modeling of an induction motor using a magnetic equivalent circuit. The main goal of introducing the three-dimensional model is to include axial fluxes in the machine equations. Furthermore, enhancement of the precision of teeth flux estimation and air-gap permeances, as the most important and dominant factors, is another achievement of this model compared to that of the two-dimensional model. This increases the accuracy of the estimated torque. Although it is possible to include the impact of the bar skew in the two-dimensional modeling using a magnetic equivalent circuit, this can be included more precisely in the three-dimensional model due to the three-dimensional nature of the bar skew. Therefore, the three-dimensional model as an efficient method with rapid computations and suitable precision is used for modeling various types of eccentricity. It is shown that the three-dimensional model results are closer to the experimental results compared to that of the two-dimensional model. This confirms the merit of the three-dimensional model. Also, this method can be a proper substitution to the finite-element method in modeling a machine under fault and fault diagnosis.
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Faiz et al. (2015) studied this question.
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