The paper describes the 6th version of the universal modeling method programs for calculating centrifugal compressor stages. These programs were developed for 3D impeller calculation. The received mathematical model was identified. The identification resulted into the unified set of empirical factors. The efficiency definition error at the design stage is 0.86 %. The efficiency definition error at five flow rate points (except the point of the maximum flow rate) is 1.22 %. Four variants of the 3D impeller are designed by means of 6th version programs and quasi three-dimensional calculation programs. The gas dynamic performances of the stage with the impeller variants are calculated by NUMECA FINE TURBO program. Performance comparison are able to specify some design recommendations.