Engineering Journal: Science and InnovationELECTRONIC SCIENCE AND ENGINEERING PUBLICATION
Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
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Article

Methods of direct search in hybrid algorithms of computing diagnostics of hydromechanical systems

Published: 09.12.2014

Authors: Sulimov V.D., Shkapov P.M.

Published in issue: #12(36)/2014

DOI: 10.18698/2308-6033-2014-12-1353

Category: Mathematic modeling | Chapter: Modeling aerohydrodynamics

The article considers problems of computing diagnostics of hydromechanical systems. In the developed mathematical models of the studied objects we used indirect diagnostic information which contained in the spectra of fluctuations of objects registered with the regular systems. We formulated inverse spectral problem, in the solution of which we implemented optimization approach. It was assumed that private criteria were continuous, not everywhere differentiable multiextreme functions. Search of global decisions was carried out using a new hybrid algorithms integrating stochastic algorithm of scanning of variables space and determined methods of direct local search. Numerical examples of model diagnosing of the heat carrier phase structure and of nuclear reactor plant equipment are given.


References
[1] Gao C., Zhao Z., Duan G. Robust actuator fault diagnosis scheme for satellite attitude control systems. Journal of the Franklin Institute, 2013, vol. 350, no. 9, pp. 2560-2580.
[2] Medeiros J.A.C., Schirru R. Identification of nuclear power plant transients using the Particle Swarm Optimization algorithm. Annals of Nuclear Energy, 2008, vol. 35, no. 4, pp. 576-582.
[3] Ma J., Jiang J. Applications of fault detection and diagnosis methods in nuclear power plants: A review. Progress in Nuclear Energy, 2011, vol. 53, pp. 255-266.
[4] Lavrentyev M.M., Zharinov S.Yu., Zerkal S.M., Soppa M.S. Sibirskiy zhurnal industrialnoi matematiki - Journal of Applied and Industrial Mathematics, 2002, vol. V, no. 1 (9), pp. 105-113.
[5] Goncharsky A.V., Romanov S.Yu. Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki - Computational Mathematics and Mathematical Physics, 2012, vol. 52, no. 2, pp. 263-269.
[6] Goncharsky A.V., Romanov S.Y. Supercomputer technologies in inverse problems of ultrasound tomography. Inverse Problems, 2013, vol. 29, no. 7, pp. 1-22.
[7] Wang Y., Yagola A.G., Yang C. Optimization and regularization for computational inverse problems and applications. Berlin, Heidelberg: Springer Verlag, 2010, XVIII, 351 p.
[8] Lippert R.A. Fixing multiple eigenvalues by a minimal perturbation. Linear Algebra and its Applications, 2010, vol. 432, pp. 1785-1817.
[9] Bai Z.-J., Ching W.-K. A smoothing Newton’s method for the construction of a damped vibrating system from noisy test eigendata. Numerical Linear Algebra with Applications, 2009, vol. 16, no. 2, pp. 109-128.
[10] Kinelev V.G., Shkapov P.M., Sulimov V.D. Application of global optimization to VVER-1000 reactor diagnostics. Progress in Nuclear Energy, 2003, vol. 43, no. 1-4, pp. 51-56.
[11] Karmitsa N., Bagirov A., Mäkelä M.M. Comparing different nonsmooth minimization methods and software. Optimization Methods & Software, 2012, vol. 27, no. 1, pp. 131-153.
[12] Floudas C.A., Gounaris C.E. A review of recent advances in global optimization. Journal of Global Optimization, 2009, vol. 45, no. 1, pp. 3-38.
[13] Luz E.F.P., Becceneri J.C., de Campos Velho H.F. A new multi-particle collision algorithm for optimization in a high performance environment. Journal of Computational Interdisciplinary Sciences, 2008, vol. 1, pp. 3-10.
[14] Rios-Coelho A.C., Sacco W.F., Henderson N. A Metropolis algorithm combined with Hooke-Jeeves local search method applied to global optimization. Applied Mathematics and Computation, 2010, vol. 217, no. 2, pp. 843-85.
[15] McKinnon K.I.M. Convergence of the Nelder-Mead simplex method to a non-stationary point. SIAM Journal of Control and Optimization. 1999, vol. 9, no. 2, pp. 148-158.
[16] Xiao H.F., Duan J.A. Multi-direction-based Nelder-Mead method. Optimization: A Journal of Mathematical Programming and Operations Research, 2014, vol. 63, no. 7, pp. 1005-1026.
[17] Lera D., Sergeev Ya. D. Lipschitz and Holder global optimization using spacefilling curves. Applied Numerical Mathematics, 2010, vol. 60, no. 1, pp. 115-129.
[18] Sulimov V.D., Shkapov P.M. Application of hybrid algorithms to computational diagnostic problems for hydromechanical systems. Journal of Mechanics Engineering and Automation, 2012. vol. 2, no. 12, pp. 734-741.
[19] Sulimov V.D., Shkapov P.M. VestnikMGTU im. N.E. Baumana. Seriya Estesnvennye nauki - Herald of the Bauman Moscow State Technical University. Series: Natural Sciences, 2014, no. 4, pp. 47-63.
[20] Hare W.L., Lucet Y. Derivative-free optimization via proximal point methods. Journal of Optimization Theory and Applications, 2014, vol. 160, no. 1, pp. 204-220.