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Permanent magnet synchronous machines are well suited for high speed applications due to their high efficiency, power density and dynamic response capability. The heat extraction area decreases as the speed increases, making thermal effects more dominant at high speed. The temperature dependent properties of permanent magnets necessitates high detail thermal models. This paper presents a two dimensional analytical model for a high speed permanent magnet synchronous machine magnet. The diffusion equation is solved where three of the permanent magnet boundaries experience convection heat flow; as the case is in radial flux machines. The heat generated on the rotor surface due to eddy currents is also taken into account. The model is verified using numerical techniques and shows good correlation (within 1.5 %). The model is also validated through experiments performed on a 4 kW, 30 000 r/min permanent magnet synchronous machine.

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