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Because of the advantages of compact size and high efficiency, today PMSM motor has attracted the attention in aerospace applications. We have designed a super high speed PMSM motor with 92% efficiency novel for a cryo-cooler compressor for NASA recently. The rated speed of the motor is 136 krpm and the rated output power is 1.85 kW. Considerable attention has been paid in the design due to the super high speed range of operation. In the paper, we will present our analysis and design approach based on computer modeling and simulation.