Abstract
The method of solving the selecting turning guide vanes law of control problem for the multistage axial flow compressor is proposed in order to ensure maximum efficiency along the operating line while maintaining specified stability margins under the uncertainty of input data. The problem under consideration belongs to a class of multi-objective stochastic optimization problems with mixed conditions. Evolutionary computational method of solution synthesis of the problems belonging to this class is developed based on the genetic algorithm. The implementation example of proposed method for selecting law of control for turning inlet at first four stages guide vanes of multistage axial flow compressor (MSAFC) of modern helicopter jet engine is considered. The problem of technological tolerance selecting the stagger angles of compressor blade rows in order to provide the specified confidence intervals based on integral performance parameters is solved. The examples of solving the problem using determined and stochastic formulations are given.
Highlights
In the modern world the complex technical systems (CTS) development is characterized by permanent increase in requirements for their power and operating performance
The researches resulted in designing the solution methods for M-problem, V-problem, P-problem and stochastic optimization with mixed condition problem solution synthesis and its realization in design software tools, for example, “Dakota, A Multilevel Parallel Object-Oriented Framework for Design Optimization, Parameter Estimation, Uncertainty Quantification, and Sensitivity Analysis”, “IOSO Technology, Robust design optimization” [12, 13], “ESTECO, modeFRONTIER” [14], “Dassault Systems, Isight and Fiper” [15, 16], “DYNARDO, optiSLang” [17], “NUMECA International, FineDesign3D”, “Concepts NREC’s, Agile Engineering Design System” [18, 19]
Stochastic optimization problem is represented in the form f (x) → min, where f is the objective function, whose form depends on the conditions of the problem, x is random variable with given distribution
Summary
In the modern world the complex technical systems (CTS) development is characterized by permanent increase in requirements for their power and operating performance. The researches resulted in designing the solution methods for M-problem (a problem of finding the minimum value of objective function expectation), V-problem (a problem of finding the minimum objective function dispersion), P-problem (a problem of finding maximum probability of achieving the given objective function) and stochastic optimization with mixed condition problem solution synthesis and its realization in design software tools, for example, “Dakota, A Multilevel Parallel Object-Oriented Framework for Design Optimization, Parameter Estimation, Uncertainty Quantification, and Sensitivity Analysis”, “IOSO Technology, Robust design optimization” [12, 13], “ESTECO, modeFRONTIER” [14], “Dassault Systems, Isight and Fiper” [15, 16], “DYNARDO, optiSLang” [17], “NUMECA International, FineDesign3D”, “Concepts NREC’s, Agile Engineering Design System” [18, 19] These software tools are used for solution of practical problems. The problem of technological tolerance selecting the stagger angles of compressor guide vanes of TV3-117-VMA-SBM1V engine in order to set the specified confidence intervals based on integral variables of multistage axial flow compressor is solved
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