Journal ArticleDOI
Use of Ritz and Bubnow-Galerkin methods for calculation of inductance and impedance of conductors
J. Purczyński,P. Rolicz,R. Sikora +2 more
- Vol. 57, Iss: 3, pp 119-126
TLDR
In this paper, it was shown that the Ritz and Bubnow-Galerkin methods can be applied for the calculation of the inductance and the impedance, respectively, for the case of nonhomogeneous Neumann boundary problems.Abstract:
It is shown that the Ritz and Bubnow-Galerkin methods can be applied for the calculation of the inductance and the impedance, respectively. Moreover it is shown that the calculation of the impedance by the Bubnow-Galerkin method is a generalization of the calculation of the inductance by the Ritz method in the case of a nonhomogeneous Neumann boundary problem. For the illustration of these methods the inductance of a rectangular ferromagnetic conductor and the inner impedance of a rectangular conductor placed in a semi-closed slot are calculated.read more
Citations
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Journal ArticleDOI
Eddy currents: theory and applications
TL;DR: In this article, the theory and applications of eddy currents induced in conducting materials by time-varying magnetic fields are reviewed and the mathematical methods employed in solving the relevant problems are presented.
Journal ArticleDOI
Use of the Bubnov-Galerkin method to skin effect problems for the case of unknown boundary conditions
TL;DR: In this article, a method based on coupling the Bubnov-Galerkin method and the separation of variables method is described for the solution of alternating field problems in which the region of prime interest is embedded in an infinitely extending region where Laplace's equation holds.
Journal ArticleDOI
Bubnov-Galerkin method for solving exterior alternating field problems
TL;DR: In this article, the Bubnov-Galerkin method coupled with the separation of variables method was applied for solving exterior alternating field problems, and the inner impedance of a rectangular conductor was calculated.
Journal ArticleDOI
Impedance and elektrodynamic force acting on a cylindrical conductor partly filling a semi-closed slot
TL;DR: In this paper, the inner impedance and the electrodynamic force acting on a cylindrical conductor partly filling a semi-closed slot are calculated by using the separation of variables method.
Journal ArticleDOI
Impedance of a rectangular conductor of the starting cage of a double-cage motor
TL;DR: In this article, the impedance of a rectangular conductor of the starting cage of a double-cage motor is calculated by using the Babnow-Galerkin method, where the working cage is assumed to consist of cylindrical conductors.
References
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Journal ArticleDOI
Über eine neue Methode zur Lösung gewisser Variationsprobleme der mathematischen Physik.
TL;DR: In this article, ausnahmsweise gelingt hier eine Entwicklung nach Potenzreihen, and noch seltener ist dieselbe im ganzen Bereich numerisch brauchbar.