The main goal of the submitted research is the development of an effective technique of the thermal calculation of the closed high-speed electric machine with excitation from the constant magnets and liquid cooling. In the work we can consider constructional features of the systems of liquid cooling of such machines with the zigzag- and helical form channels. The analysis of the last researches in the given area showed, that it is expedient to use the FEM-analysis for check of offered methods of the calculation. The entrance data for the formulation of a boundary problem of the calculation of a 3-dimensional thermal field of the machine by capacity 100 kVA, frequency of rotation 30000 RPM are submitted. Results of the calculation of this pr...