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Estimation of an equivalent short solenoid model using different numerical methods

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Języki publikacji
EN
Abstrakty
EN
This paper deals with an inverse magnetostatic problem related to the reconstruction of a permanent magnet encapsulated inside the cathode of a magnetron sputtering device. The numerical analysis is aimed to obtain the estimation of a short solenoid equivalent to the unknown magnet. Least squares approach has been used to solve the functional defined as squared sum of the residuals. A comparison of the results obtained with Genetic Algorithm approach and nonlinear system of equations is performed. A regularized solution, which is in good agreement with the experimental data, was found by applying a Newton adapted regularization technique.
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433--444
Opis fizyczny
Bibliogr. 14 poz., rys., tab.
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Bibliografia
  • [1] Tarantola A., Inverse problems theory and methods for model parameter estimation. SIAM, ISBN 0-89871572-5 (2005).
  • [2] Desideri D., Miron O., Maschio A., Micu D.D., Reconstruction of an equivalent magnetostatic source of a magnetron sputtering device. Modern Power Systems, Acta Electrotehnica. 51: 119-122 (2010).
  • [3] Desideri D., Maschio A., Micu D.D., Miron O., Identification of an equivalent model for the permanent magnets of a magnetron sputtering device. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, in publication.
  • [4] Bertero M., Poggio P.A., Torre V., Ill-posed problems in early vision. Proceedings of the IEEE 76: 869-889 (1988).
  • [5] Ceclan A., Micu D.D., Simion E., On an object identification via electric potential measurements. EPE, vol. LII (2006).
  • [6] Nocedal J., Wright S.J., Numerical optimization. Springer-Verlag, New York (1999).
  • [7] Van Henteryk P., McAllester D., Kapur D. Solving polynomial systems using a branch prune approach. SIAMJ. Numer. Anal. 34(2): 797-827 (1997).
  • [8] Grosan C., Abraham A., A new approach for solving nonlinear systems of equations. IEEE Transactions on systems, man, and Cybernetics, Part A: Systems and humans 38(3) (2008).
  • [9] Murdock T.M., Schmiterdorf W.E., Forrest S., Use of a genetic algorithm to analize robust stability problems. Proceedings of the American Automatic Control, pp. 886-889 (1991).
  • [10] Marra M. A., Walcott B. L., Stability and optimality in genetic algorithms controllers. Proceedings of the 1996 IEEE International Symposium on Intelligent Control, pp. 492-496 (1996).
  • [11] Blaschke B., Neubauer A., Scherzer O. On the convergence rates for the iteratively regularized Gauss-Newwton method. IMA Journal of Numerical Analysis, pp. 421-436 (1997).
  • [12] Rieder A., On the regularization of nonlinear ill-posed problems via inexact Newton iterations, Inverse Problems 15(3): 309-327 (1999).
  • [13] Meng Z., Zhao Z., Newton-type method with double regularization parameter for nonlinear ill-posed problems. Intelligent Computing and Intelligent Systems, IEEE International Conference on 2: 367-373 (2009).
  • [14] Watzenig D., Brandstätter B., Holler G., Adaptive regularization parameter adjustment for reconstruction problems, IEEE Transactions on Magnetics 40(2), March (2004).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPS2-0063-0048
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