volume | PIER Journals

Abstract

This article contains derivation of propagation factors and Fourier series for harmonically time varying, traveling electromagnetic fields in a plate and a laminate with rectangular cross sections, isotropic materials and infinite length. Different and quite general fields are taken into account on all boundaries. Choices of boundary conditions and continuity conditions are discussed. Certain combinations of types of boundary conditions make the derivation possible for a laminate. Comparisons are made between results of Fourier series and finite element calculations.

1. Curti, M., J. J. H. Paulides, and E. A. Lomonova, "An overview of analytical methods for magnetic field computation," 2015 Tenth International Conference on Ecological Vehicles and Renewable Energies (EVER), 1-7, March 2015. Google Scholar

2. De Mey, G., "A method for calculating eddy currents in plates of arbitrary geometry," Archiv fur Elektrotechnik, Vol. 56, No. 3, 137-140, May 1974, [Online], Available: http://dx.doi.org/10.1007/BF01543294.
doi:10.1007/BF01543294 Google Scholar

3. Singh, A., "Analysis of eddy currents in a plate with unequal overhangs," IEEE Transactions on Magnetics, Vol. 12, No. 5, 560-563, September 1976.
doi:10.1109/TMAG.1976.1059062 Google Scholar

4. Mukerji, S. K., M. George, M. B. Ramamurthy, and K. Asaduzzaman, "Eddy currents in solid rectangular cores," Progress In Electromagnetics Research, Vol. 7, 117-131, 2008.
doi:10.2528/PIERB08022801 Google Scholar

5. Mukerji, S. K., M. George, M. B. Ramamurthy, and K. Asaduzzaman, "Eddy currents in laminated rectangular cores," Progress In Electromagnetics Research, Vol. 83, 435-445, 2008.
doi:10.2528/PIER08062101 Google Scholar

6. Mukerji, S. K., D. S. Srivastava, Y. P. Singh, and D. V. Avasthi, "Eddy current phenomena in laminated structures due to travelling electromagnetic fields," Progress In Electromagnetics Research M, Vol. 18, 159-169, 2011.
doi:10.2528/PIERM11031502 Google Scholar

7. Brander, O., Partiella differential ekvationer-en kurs i fysikens matematiska metoder, del B. Studentlitteratur, 1973.

8. Griffiths, D. J., Introduction to Electrodynamics, 3rd Ed., Pearson, 1999.

9. Cheng, D. K., Field and Wave Electromagnetics, 2nd Ed., Addison-Wesley Publishing Company, 1989.

10. Mathworks website, , https://www.mathworks.com/, accessed May 30, 2017.

11. Ansys website, , http://www.ansys.com/, accessed May 30, 2017.

12. Matweb website, , http://matweb.com/search/AdvancedSearch.aspx, accessed February 16, 2017.

Mr. Birger Marcusson

Dr. Claes Urban Lundin