Contents
The paper which is a continuation of the paper [10] discusses determining eddy curent losses and electrodynamic forces in cylindrical segments (Joffe's conductors) placed in the field of a thin conductor carrying current. On the basis of the numerical calculations, graphs of electrodynamic forces and of real power losses were plotted.
Übersicht
Der Beitrag stellt eine Kontinuation des Beitrags [10] dar. Unter Verwendung der Bobnov-Galerkin-Methode in Verbindung mit der Variablentrennungsmethode werden in den zylindrischen Segmenten die durch Wirbelströme hervorgerufenen Verluste und elektrodynamischen Kräfte ermittelt. Es werden numerische Berechnungen durchgeführt, auf deren Grundlage Diagramme der wirkleistungsverluste und der elektrodynamischer Kräfte aufgestellt werden.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Abbreviations
- A :
-
z-component of the vector potential (complex, r.m.s. value)
- J :
-
z-component of the current density (complex r.m.s. value)
- B x, By :
-
components of the magnetic induction complex r.m.s. values)
- I, |I|:
-
complex current, r.m.s. value of curent
- F :
-
electrodynamic force
- \(j = \sqrt { - 1} \) :
-
imaginary unit
- z * :
-
conjugate complex number ofz
- Rez, Im,z, |z|:
-
real part, imaginary part and modulus of complex numberz
- k :
-
\( = \sqrt {\omega \mu \gamma } \)
- K :
-
number of segment
- ∂/∂n :
-
derivative in the normal external direction
- ∇ 2 :
-
scalar Laplacian
- μ:
-
permeability
- ψ:
-
conductivity
- ω:
-
pulsation
- P :
-
Joule power distribution coefficient
- r, ϕ,z :
-
cylindrical coordinates
References
Alexiewicz, A.: Functional analysis, Warsaw: PWN (1969) (in Polish)
Lipiński, W.; Purczyński, J.; Sikora, R.: Application of integral transforms to the analysis of magnetic fields. Arch. Elektrotech (Warsaw) 20 (1971) 983–994 (in Polish)
Lipiński, W.; Purezyński, J.; Sikora, R.: Berechnung des Magnetfeldes der gleichstromdurchflossenen geraden Leiter mittels den Bessel- und Fourier-Transformationen. Arch. Elektrotech. 55 (1973) 312–319
Roliez, P.: Application of Bubnov-Galerkin method to computation of conductors impedance. Arch. Elektrotech. (Warsaw) 24 (1975) 89–102 (in Polish)
Rolicz, P.: Forces acting on the conductors of a bifilar Lead with an Alternating current. Arch. Elektrotech. 61 (1979) 41–44
Rolicz, P.: Skin effect in two parallel conductors passing identical currents. Arch. Elektrotech. (Warsaw) 29 (1980) 403–410 (in Polish)
Rolicz, P.: Use of the Bubnov-Galerkin method to skin effect problems for the case of unknown boundary conditions. IEEE Trans. Magn. 18/2 (1982) 527–531
Rolicz, P.: Bobnov-Galerkin method for solving exterior alternating field problems. J. Phys. D: Appl. Phys. 15 (1982) 2401–2411
Smythe, W. R.: Static and dynamic electricity., New York: MC Graw-Hill (1950)
Szymański, Z.: Skin effect in cylindrical segments placed in a harmonical transverse magnetic field. Arch. Elektrotech. 67 (1984) 75–81
Szymański, Z.: Direct methods of the functional analysis of the conductors impedance calculation for unknown boundary conditions. doctoral Thesis, Szczecin 1983 (in Polish)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Szymanski, Z. Skin effect in cylindrical segments placed in the field of a thin conductor carrying current. Archiv f. Elektrotechnik 68, 49–56 (1985). https://doi.org/10.1007/BF01575027
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01575027