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During the past three years we have developed a programme solution for the three most widely-used methods (FEM-finite element method, BEM-boundary element method and HM hybrid method) for CAD of electro-magnetic devices. Because o the differences and specificness in the design of these devices we used three scalar potential variants for the calculation of electromagnetic field. In research of numerical methods for force and torque calculations basic methods: Maxwell stress method, Virtual work method and Magnetising current method. All of them are based on numerical solutions of magnetic conditions. To increase the accuracy of the calculation and to achieve better adjustability to the methods for the field calculation and insensitivity to the user - defined parameters several modifications were carried out on the basic methods. The developed methods were verified by measurements on real models. For the purpose of the analysis and synthesis of the electrical machines the some new dynamic models of the AC electrical machines were developed. The special attention was paid to determination of the parameters of the mentioned models. The new methods for the high performances control of the AC machines has been also developed.