The invention relates to an enclosed rotary electrical machine including a cooling system comprising two internal fans (181, 182) fixedly mounted on shaft (160) at both ends of rotor (150). The rotor and stator (190) are contained in an enclosure sealed by two flanges. The fans allow dual air circulation in flux barriers surrounding the rotor magnets and formed by axial recesses running throughout the rotor, and also air circulation in the space created between the internal fans and the inner faces of the flanges comprising fins (113, 123) which orient the air flows created by the fans to capture the heat thereof. External cooling allows the enclosure and the flanges to be cooled, by air or liquid cooling.
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