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Modeling of convection heat-transfer at the end-windings for thermal networks using lumpedparameters has been widely discussed in the literature. Unfortunately, the resulting coefficients are highly influenced by the end-winding shape, the area in the vicinity of the end-windings, the cooling method of this region (if any), as well by the size and power of the machine. This makes extremely difficult for the designer to choose a suitable coefficient for the thermal analysis during the design stage of an electric motor. A methodology to obtain the end-windings convection heat-transfer coefficients for fractional-slot concentrated winding permanent-magnet synchronous motors is proposed in this paper. Machine designs with both internal and external rotors will be considered. The experimental tests required for the model characterization are described in detail. General expressions of the convection heat-transfer coefficients between the end-windings and the housing end-caps are proposed for both internal and external rotor designs. Differences observed with results reported in the literature are also discussed.

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Φ Abstract -Permanent Magnet Synchronous Machines (PMSMs) are complex systems where a great amount of physical phenomena are produced simultaneously. Most of the existing PMSMs models are based on empirical formulations and standard design rules which are not suitable for highperformance applications or optimized design processes. The aim of this paper is to present an improved PMSM model which offers a holistic, multiphysic, modular and very fast approach capable of supporting a subsequent optimized design methodology. A complete multiphysic analysis which takes into account a coupled and analytic modeling of the magnetic, electrical, thermal and vibro-acoustics domains will be fully explained and applied to model a 10-poles 12-slots (Q12p5) PMSM. The achieved results are compared with those obtained in commercial software (FLUX2D®, ANSYS® and Motor-CAD®) getting high accuracy.

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