Analytical model of PMSM designed for high-frequency operation machine and inverter sizing compromise

In this paper the authors present an analytical model of Surface-Mounted Permanent-Magnet (PM) Synchronous Machine (SMPMSM), in order to predict the evolution of the motor behavior with frequency in the range of 0-80 kHz, what we called here `high frequency´. We assume that the copper proximity effects can be neglected by using Litz winding, so that we only consider the evolution with frequency of the stator winding inductance and of the equivalent resistance modeling the two-dimensional (2-D) PM eddy-current losses. By using a harmonic single-phase equivalent circuit, the interest of the proposed model is to calculate with a good accuracy the PM and inverter losses for various voltage source inverter (VSI) structures (two levels or three levels) and control laws (full wave, synchronous PWM...) In industrial and transportation applications, where high speed and high frequency machines are more and more used, this approach enables to achieve the good compromise between the designs of the machine and the inverter, considering the global losses.