Methodology of Robust Optimal Design of the Multistage Axial Compressor on the Basis of Discrete Analogue-Related Data

Abstract

Consideration was given to the formulation and methodology of the direct nonlinear design problem of structural dimensional circuits in conditions of a priori parametric uncertainty. It was shown that the solution of the direct nonlinear design problem of structural dimensional circuits can be reduced to the multicriteria problems of stochastic optimization with mixed conditions. Mathematical models and methods of the solution of multicriteria problems of stochastic optimization with mixed conditions were analyzed. A.N. Tikhonov method of the regulation of solution of incorrectly formulated problems was used as a computation method for the synthesis of quasi-solutions of incorrectly formulated problems. An effective memetic algorithm for the synthesis of the solutions of MV-problems was suggested. It is based on the genetic algorithm combined with the randomized path tracing method. The suggested methodology allows us to search for rational solutions of the multicriteria problems of system modification through the creation of hierarchic two-level scheme for the synthesis of solutions that includes the construction of robust surrogate models of the systems and processes with subsequent robust estimation of sought values for the parametric data uncertainty. As an example, we obtained the solution data for the problem of robust optimal design of two-stage axial compressor in conditions of a stochastic nature of the input data obtained using the interactive decision support computer system «Concept_Pro_St ® ».