Nonlinear boundary condition in electromagnetic theory - analytical scheme of formulation

• Autorzy: Sowa M. , Spałek D.
• Języki publikacji: EN

Abstrakty

EN

The paper presents a method of how the nonlinear boundary condition [1] may be applied in nonlinear problems of electromagnetic field theory. It is introduced for problems with nonlinear conductivity. An analytical procedure has been constructed, which seeks to reduce calculations related with the nonlinear region. In order to verify the proposed solutions, two problems have been formulated: one of linear and the other of cylindrical symmetry. These have been additionally solved by the authors’ modification of the perturbation method that has been described in previous papers [7, 8, 10]. The electromagnetic field distribution obtained thereby has served as a referential result since it can obtain very accurate solutions [10]. Relative errors of electric and magnetic field strength are introduced to verify the results.

Słowa kluczowe

EN

nonlinear boundary condition; nonlinear conductivity; analytical scheme

• Wydawca: Polish Academy of Sciences, Committee on Electrical Engineering
• Czasopismo: Archives of Electrical Engineering
• Rocznik: 2013
• Tom: Vol. 62, nr 1
• Strony: 163--177
• Opis fizyczny: Bibliogr. 11 poz., rys., tab.

Twórcy

autor

Sowa M.

autor

Spałek D.

• Institute of Electrical Engineering and Informatics Silesian University of Technology Akademicka 10, 44-100 Gliwice,

Bibliografia

• [1] Spałek D., Fourth boundary condition for electromagnetic field, J. Tech. Phys. 41(2): 129-144 (2000).
• [2] Spałek D., Sowa M., Nonlinear boundary condition for electromagnetic field problems. 32th International Conference of Electrotechnics and Circuit Theory IC-SPETO, Gliwice-Ustroń (2009).
• [3] Sowa M., Spałek D., Nonlinear boundary condition application: numerical symbolic scheme of formulation. 35th International Conference of Electrotechnics and Circuit Theory IC-SPETO, Gliwice- Ustroń (2012).
• [4] Mukoyama S., Yagi M., Hirata H. et al., Development of YBCO High-Tc Superconducting PowerCables. Furukawa Review 35 (2009).
• [5] Ryu K., Ma Y.H., Li Z.Y., Hwang S.D., Song H.J., AC losses of the 5m BSCCO cables with shield. Physica C 470 1606-1610 (2010).
• [6] Sikora R., Electromagnetic Field Theory (in Polish). WNT, Warszawa (1988).
• [7] Sowa M., Spałek D., Cable with superconducting shield - analytical solution of boundary valueproblems. 34th International Conference of Electrotechnics and Circuit Theory IC-SPETO, Gliwice- Ustroń (2011).
• [8] Sowa M., Spałek D., Cylindrical structure with superconducting layer in a uniform electromagneticfield - analytical solution. Advanced Methods in the Theory of Electrical Engineering, Klatovy, Czech Republic 6-9 September (2011).
• [9] Cunningham W.J., Introduction to nonlinear analysis. WNT, Warszawa (1962).
• [10] Sowa M., Spałek D., Analytical solution for certain nonlinear electromagnetic field problems. Poznań University of Technology Academic Journals: Electrical Engineering, Issue 69, Poznań (2012).
• [11] Sowa M., Spałek D., Implementation of specialized symbolic computation in Visual C++. 35th International Conference of Electrotechnics and Circuit Theory IC-SPETO, Gliwice-Ustroń (2012).