A new type of compressors named "internal-meshing rotary compressor" is proposed in this paper. This compressor could be applied in carbon dioxide trans-critical refrigerating cycle perfectly due to it simple structure, self-balanced initial mass and endurance of high pressure. However, there are few basic geometric theories to guide the design including the generation of profiles, mesh relationship of rotors and et al. In this paper, firstly, the essential equations of profiles were derived based on equidistant curve of curtate hypocycloid for inner rotor and multi-section circular arc for outer rotor. Then, the mesh relationship, position of instantaneous center, meshing range of the tooth tip arc and the modification of profile were discussed. Those basic geometric relationships could be the foundation for the application of this compressor.
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