Contents
The simple relations involving the influence both of magnetic nonlinearity and frequency on the coefficients modelling the field and stray losses in steel constructional parts of electrotechnical devices under leakage flux are derived.
To take into account the magnetic nonlinearity theB-H curve was approximated by means of the parabola ofn-th order.
Übersicht
Es werden einfache Regeln eingeführt, die die Modellierungskoeffizienten des Streufeldes und der Verluste in Eisenkonstruktionsteilen von elektrotechnischen Anlagen beschreiben.
Die magnetische Nichtlinearität des Eisens wird durch parabolische Approximation derB-H-Kurve berücksichtigt.
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Abbreviations
- a pH :
-
growth rate of local losses due to magnetic nonlinearity
- B :
-
magnetic flux density
- B n :
-
normal component of the flux density
- H :
-
magnetic field strength
- H mt :
-
amplitude of the tangent component of the magnetic field strength
- H mn :
-
amplitude of the normal component of the magnetic field strength
- j :
-
current density
- l :
-
linear dimension
- m :
-
modelling scale e.g.:m l — modelling scale of linear dimensions
- n :
-
power of the parabola
- p s :
-
local power losses per unit surface of a solid steel
- x, y, z :
-
cartesian coordinates
- z :
-
number of turns
- γ:
-
conductivity
- μ m :
-
static magnetic permeability for the magnetic field strength amplitude
- Θ:
-
ampere-turns
- Φ m :
-
leakage flux amplitude per unit length along thez-axis
- Ψ:
-
growth rate of leakage flux due to the magnetic nonlinearity
- ω=2πf :
-
radian frequency
References
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Zakrzewski, K. Physical modelling of leakage field and stray losses in steel constructional parts of electrotechnical devices. Archiv f. Elektrotechnik 69, 129–135 (1986). https://doi.org/10.1007/BF01574848
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DOI: https://doi.org/10.1007/BF01574848