Turbo rotary engines Two stage turbine Design parameters Unmanned aerial vehicles and hybrid cars, which are currently being studied extensively, require high efficiency and power-to-weight ratio engines. The Pars engine, which is a rotary engine that have the potential to provide these desired characteristics, consisting of compressor, combustion chamber and turbine, is similar to the single vane rotary refrigerant compressors and expanders used in the industry. In this study, a new twostage turbine was designed in place of the Pars turbine, which has a rotary valve system. Expansion ratio, eccentricity ratio, volume ratio, phase difference angles were determined as design parameters and theoretical moment values were obtained. In the theoretical calculations made, a torque increase of 47% was obtained for equal inlet time angels relative to the rotary valve system in the two-stage turbine. Figure A. Structure of the two stage turbine (a) Volumes and angles of two stage turbine (b) Purpose: In this study, two turbines with rotary vane were connected in series to obtain a double chamber turbine. Thus, the rotary valve mechanism requirement of the Pars turbine has been eliminated. In the newly designed turbine, mechanical efficiency is increased by the removal of the power of the valve mechanism. Theory and Methods: In this study, a double stage turbine was analyzed in order to eliminate the need for a rotating valve that controls the air which is required for the Pars turbine. The effect of turbine eccentricity ratio, volume ratio and phase difference angle on the turbine moment, which is determined as design parameter, was investigated and the turbine and double stage turbine were compared. Results: In the theoretical calculations, an increase of 47% was obtained for the equal input time angles of the double stage turbine according to the rotary valve system turbine. Conclusion: As the eccentric ratio increases in turbines, the turbine size decreases and the pallet loads increase. This reduces the turbine moment due to increased friction losses. The eccentric ratio affects the turbine power more than the other parameters. When the eccentric ratio is doubled for equal input and output angles in the double stage turbine, the expansion rate decreases by 3%. It is seen that the pallet loads increased linearly with the eccentric ratio of the turbine.