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The applications of fixed-point theorem in optimisation problems

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Języki publikacji
EN
Abstrakty
EN
The fixed-point theorem is widely used in different engineering applications. The present paper focuses on its applications in optimisation. A Matlab toolbox, chich implements the branch-and-bound optimisation method based on the fixed-point theorem, is used for solving different real-life test problems, including estimation of model parameters for the Jiles-Atherton model.
Rocznik
Strony
189--198
Opis fizyczny
Bibliogr. 24 poz., rys.
Twórcy
autor
Bibliografia
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  • [5] Chwastek K., Szczygłowski J., Estimation methods for the Jiles-Atherton model parameters – a review. Przegląd Elektrotechniczny (Electrotechnical Review) 12: 145-8 (2008).
  • [6] Chwastek K., Modelling of dynamic hysteresis loops using the Jiles-Atherton approach. Mathematical and Computer Modelling of Dynamical Systems 15(1): 95-105 (2009).
  • [7] Dixon L.C.W., Szégö G.P. (Eds.), Towards Global Optimisation. vol. 2, North-Holland Publishing Company (1978).
  • [8] Finkel D.E., Global optimization with the DIRECT algorithm. PhD Thesis, North Carolina State University, Raleigh (2005).
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  • [10] Hănţilă I.F., A method for solving stationary magnetic field in nonlinear media. Revue Roumaine des Sciences Techniques-Électrotechnique et Énergétique 20(3): 397-407 (1975).
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  • [13] Jędryczka C., Sujka P., Szeląg W., The influence of magnetic hysteresis on magnetorheological fluid clutch operation. COMPEL 28(3): 711-721 (2009).
  • [14] Jiles D.C., Atherton, D.L., Theory of ferromagnetic hysteresis. Journal of Magnetism and Magnetic Materials 61(1): 48-60 (1986).
  • [15] Jiles D.C., Thoelke J.B., Devine M.K., Numerical determination of hysteresis model parameters for the modeling of magnetic properties using the theory of ferromagnetic hysteresis. IEEE Transactions on Magnetics 28(1): 27-35 (1992).
  • [16] Jones D.R., Perttunen C.D., Stuckman B.E., Lipschitzian optimization without the Lipschitz constant. Journal of Optimization Theory and Applications 79 (1): 157-81 (1993).
  • [17] Knypiński Ł., Optimization and field-circuit simulation of permanent magnet brushless DC motor. Conference Archives PTETiS 29: 451-456 (2011).
  • [18] Kudrewicz J., Dynamika pętli fazowej. (Dynamics of phase locked loop – in Polish), WNT Warszawa (1991).
  • [19] Łyskawiński W., Sujka P., Szeląg W., Barański, M., Numerical analysis of hysteresis loss in pulse transformer. Archives of Electrical Engineering 60(2): 187-192 (2011).
  • [20] Muszyński J., Myszkis A.D., Równania różniczkowe zwyczajne. (Ordinary differential equations – in Polish), PWN Warszawa (1984).
  • [21] Neumaier A., Complete search in continuous global optimisation and constraint satisfaction. [In:] Acta Numerica 2004 (A. Iserles, Ed.), Cambridge University Press (2004). See also: http://www.mat.univie.ac.at/~neum/.
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  • [24] Sadowski N., Batistela N.J., Bastos J.P.A., Lajoie-Mazenc M., An inverse Jiles-Atherton model to take into account hysteresis in time-stepping finite-element calculations. IEEE Transactions on Magnetism 38(2): 797-800 (2002)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPS4-0002-0092
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