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In this paper, a new type of low-pressure steam generator, roots-type power machine, is proposed to solve the shortcomings of medium- and low-temperature waste heat energy recovery. The rotor is systematically studied by means of theoretical analysis, numerical simulation and experimental verification. Firstly, the motion law of roots-type power machine is analyzed theoretically. According to the rotor profile characteristics, the rotor profile structure is divided and the parameter equation is established. In order to verify the feasibility of the designed rotor, the pressure field, velocity field and mass flow field inside the roots-type power machine where the rotor is located are analyzed by numerical simulation method. Finally, a test platform is built to test the power output characteristics, load characteristics and flow characteristics of the roots-type power machine. The feasibility of the rotor profile design method and the reliability of the rotor mathematical model are verified. The results show that the design of the rotor profile can meet the power generation requirements of the roots-type power machine. The rotor profile design method provides a new idea and strong theoretical guidance and basis for the design of the rotor of the subsequent roots-type power machine. Moreover, the development of the roots-type power machine will have a profound impact on the recycling and energy saving of low-temperature waste heat resources.