DocumentCode :
951257
Title :
An analytical solution of the nonlinear eddy-current losses in ferromagnetic materials
Author :
Nayfeh, Ali H. ; Asfar, Omar R.
Author_Institution :
Virginia Polytechnic Institute, Blacksburg, Va.
Volume :
10
Issue :
2
fYear :
1974
fDate :
6/1/1974 12:00:00 AM
Firstpage :
327
Lastpage :
331
Abstract :
The present analysis is concerned with the determination of the electromagnetic field and losses in a cylinder of ferromagnetic material. The method consists of finding a linear solution for the diffusion equation governing the H field and then applying the method of variation of parameters to take the nonlinearity into account. The application of the method of averaging reduces the problem to the solution of two first-order ordinary differential equations governing the amplitude and phase variations with depth. The equation governing the averaged phase is readily integrable, while that governing the averaged amplitude is integrated numerically. The results are in excellent agreement with experimental data and with finite-difference numerical solutions.
Keywords :
Eddy currents; Ferromagnetic materials; Boundary conditions; Electromagnetic analysis; Electromagnetic fields; Engine cylinders; Hysteresis; Integral equations; Magnetic losses; Magnetic materials; Maxwell equations; Nonlinear equations;
fLanguage :
English
Journal_Title :
Magnetics, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9464
Type :
jour
DOI :
10.1109/TMAG.1974.1058327
Filename :
1058327
Link To Document :
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