Contents
In the paper, eddy current losses and electrodynamic forces in cylindrical segments (Joffe's conductor) placed in a transverse homogeneous magnetic field sinusoidally changing with time were determined by means of the Bubnov-Galerkin method coupled with the separation of variables.
Numerical computation served as a basis for plotting both real power losses and electrodynamic forces.
Übersicht
In der Arbeit wurde die Bubnov-Galerkin-Methode in Verbindung mit der Methode der Variablentrennung zur Ermittlung der Verluste, die durch Wirbelströme und elektrodynamische Kräfte in zylindrischen Segmenten (Joffe-Schienen) hervorgerufen wurden, verwendet. Die Segmente befinden sich in einem homogenen magnetischen Querfeld, das sinusoidal veränderlich mit der Zeit ist. Die Berechnung wurde iterativ mit einem Digitalrechner vorgenommen. Diagramme der Verluste und Kräfte werden angegeben.
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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 o :
-
x-component of the external magnetic induction (complex r.m.s. value)
- B x ,B y :
-
components of the magnetic induction (complex r.m.s. value)
- F :
-
electrodynamic force
- \(j = \sqrt { - 1} \) :
-
imaginary unit
- z * :
-
conjugate comples number ofz
- Rez, Im z, |z|:
-
real part, imaginary part and modulus of complex numberz
- \(k = \sqrt {\omega \mu \gamma } \) K :
-
number of segment
- ϖ/ϖn :
-
derivative in the normal external direction
- ∇2 :
-
scalar Laplacian
- μ:
-
permeability
- λ:
-
conductivity
- ω:
-
pulsation
- p :
-
Joule power distribution coefficient
- r, ϕz :
-
cylindrical coordinates
References
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Szymański, Z. Skin effect in cylindrical segments placed in a harmonical transverse magnetic field. Archiv f. Elektrotechnik 67, 75–81 (1984). https://doi.org/10.1007/BF01577115
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DOI: https://doi.org/10.1007/BF01577115