Inverse Problem Methodology for the Measurement of the Electromagnetic Parameters Using MLP Neural Network
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32797
Inverse Problem Methodology for the Measurement of the Electromagnetic Parameters Using MLP Neural Network

Authors: T. Hacib, M. R. Mekideche, N. Ferkha

Abstract:

This paper presents an approach which is based on the use of supervised feed forward neural network, namely multilayer perceptron (MLP) neural network and finite element method (FEM) to solve the inverse problem of parameters identification. The approach is used to identify unknown parameters of ferromagnetic materials. The methodology used in this study consists in the simulation of a large number of parameters in a material under test, using the finite element method (FEM). Both variations in relative magnetic permeability and electrical conductivity of the material under test are considered. Then, the obtained results are used to generate a set of vectors for the training of MLP neural network. Finally, the obtained neural network is used to evaluate a group of new materials, simulated by the FEM, but not belonging to the original dataset. Noisy data, added to the probe measurements is used to enhance the robustness of the method. The reached results demonstrate the efficiency of the proposed approach, and encourage future works on this subject.

Keywords: Inverse problem, MLP neural network, parametersidentification, FEM.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1062134

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1709

References:


[1] P. Ramuhalli, Neural network based iterative algorithms for solving electromagnetic NDE inverse problems, Ph.D. dissertation, Dept. Elect. Comp. Eng, Iowa Univ, USA, 2002.
[2] E. Coccorese, R. Martone and F. C. Morabito, A neural network approach for the solution of electric and magnetic inverse problems, IEEE Trans. Magnetics, vol. 30, no. 5, pp. 2829-2839, 1994.
[3] S. R. H. Hoole, Artificial neural networks in the solution of inverse electromagnetic field problems, IEEE Trans. Magnetics, vol. 29, no 2, pp. 1931-1934, 1993.
[4] P. Ramuhalli, L. Udpa and S.S. Udpa, Finite element neural networks for solving differential equations, IEEE Trans. Neural Networks, vol. 16, no. 6, pp. 1381-1392, 2005.
[5] P. M. Wong and M. Nikravesh, Field applications of intelligent computing techniques, J. Petrol Geolog, vol. 24, no. 4, pp. 381-387, 2001.
[6] A. Fanni and A. Montisci, A neural inverse problem approach for optimal design, IEEE Trans. Magnetics, vol. 39, no 3, pp. 1305-1308, 2003.
[7] S. Haykin, Neural networks: A comprehensive foundation, Englewood Cliffs, NJ: Prentice-Hall, New York, 1999.
[8] I. V. Turchenko, Simulation modelling of multi-parameter sensor signal identification using neural networks, Proc. 2nd IEEE Int Conf. Intelligent Systems, Bulgaria, 2004, pp. 48-53.
[9] N.P. De Alcantara, J. Alexandre, M. De Carvalho, Computational investigation on the use of FEM and ANN in the non-destructive analysis of metallic tubes, Proc. 10th Biennial Conf. Electromagnetic Field Computation, Italy, 2002.
[10] A. K. Jain, J. Mao and K. M. Mohiuddin, Artificial neural networks: a tutorial, Computer, pp. 31-44, 1996.
[11] K. Mehrotra, C. K. Mohan and S. Ranka, Elements of artificial neural networks, MA: MIT Press, Cambridge, 1997.
[12] D. Cherubini, A. Fanni, A. Montisci, P. Testoni, A fast algorithm for inversion of MLP networks in design problems, COMPEL. Int. J. Comp and Math in Electric and Electro Eng, vol. 24, no. 3, pp. 906-920, 2005.
[13] M. V. K. Chari and S. J. Salon, Numerical methods in electromagnetism, CA: Academic, San Diego, 2000.
[14] P.P. Silvester and R.L. Ferrari, Finite elements for electrical engineers, Univ Press, Cambridge, 1996.
[15] Z. Raida, Modeling EM tructures in the neural network toolbox of MATLAB, IEEE Antenna-s and propagation Magazine, vol. 44, no. 6, pp. 46-67, 2002.
[16] Partial Differential Equation Toolbox user-s guide, for use with MATLAB, The Math Works Inc.
[17] M. T. Hagan and M. Menhaj, Training feed-forward networks with the Levenberg-Marquardt algorithm, IEEE Trans Neural Networks, vol. 5, no. 6, pp. 989-993, 1994.