Applicability of the Standard Impedance Boundary Condition in the Calculation of 3D Eddy Current Loss in Conductors

2012 ◽  
Author(s):  
Mo Li ◽  
Zejun Shen ◽  
Jun Zou ◽  
Jiansheng Yuan
Keyword(s):  
Boundary Condition ◽  
Eddy Current ◽  
Eddy Current Loss ◽  
Impedance Boundary Condition ◽  
Impedance Boundary ◽  
Current Loss

Theoretical investigation of the eddy current loss in thin ferromagnetic plates due to saturation

1963 ◽  
Vol 274 (1357) ◽  
pp. 187-194 ◽  
Keyword(s):  
Differential Equation ◽  
Boundary Condition ◽  
Partial Differential Equation ◽  
Power Factor ◽  
Eddy Current ◽  
Eddy Current Loss ◽  
Current Loss ◽  
Ferromagnetic Plate ◽  
Magnetizing Force ◽  
Sinusoidal Surface

An analytical method is developed for the solution of the partial differential equation of the form ∂ 2 H ∂ z 2 = ( μ ρ ) ∂ ∂ t ( H − ε H 3 ) ɛ being small, H being a function of z and t , for the boundary condition that at the surfaces, z = ± a , either H or d H /d z varies harmonically with respect to time, t . Based on this method, expressions are deduced forth e eddy current loss and power factor when a thin ferromagnetic plate is subjected to either a sinusoidal surface magnetizing force or sinusoidal flux, under conditions of saturation. The method gives a clear picture of the effects of saturation on the field distribution.

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