The existing methods of design and calculating the gas-dynamic characteristics of turbo-machines do not allow an accurate computation of parameters of a turbo compressor unit as part of a compound internal-combustion engine. The evaluation of a new design and estimation method for the blading section of the turbine of the turbocharged engine was carried out in this paper. The developed technology was used to design impellers for radial-axial turbines of a turbocharged engine operating in various modes. The features of these turbines are presented in the steady and unsteady stream. As a result of the application of the new design and calculating technology, the following data was obtained: the parameters of the turbine design mode as part of a turbocharged engine; the blading section of the turbine TKR-14 of the turbocharger. As a part of a turbocharged engine, this blading section will allow the unsteady action from the piston part to operate more efficiently than the standard turbine of the 6 CHN 18/22 (Russian Marine Diesel) engine. The computation of turbine performance characteristics in a steady stream showed that a decrease in the geometric dimensions at the inlet and outlet of the impeller leads to a decrease in the efficiency of the turbine and an increase in its effective power. The computation of performance characteristics of a turbine as part of the turbocharged engine showed that reducing the height of the impeller blades causes scavenging duration reduction, an increase in a pressure drop on scavenging, an increase in pressure in the exhaust pipeline, an increase in the efficiency of the turbine and its effective power. Comparison of these characteristics with experimental data proves the adequacy of the applied technology.