Title :
An Efficient Harmonic Balance Method for Nonlinear Eddy-Current Problems
Author :
Ausserhofer, S. ; Biro, O. ; Preis, K.
Author_Institution :
Inst. for Fundamentals & Theor. in Electr. Eng., Graz Univ. of Technol.
fDate :
4/1/2007 12:00:00 AM
Abstract :
A method is presented which determines the steady-state solution of nonlinear eddy current problems. The unknown potentials are represented by Fourier-series and the nonlinear behavior of the material is split into a linear and a nonlinear term using a fixed-point technique. This approach leads to decoupled linear equations for each harmonic component. To take the nonlinearity into account, several fixed-point iterations have to be made. The method avoids calculating transient processes which normally have to be stepped through if using time-stepping methods. The present method is illustrated by two 2-D examples
Keywords :
Fourier series; eddy currents; fixed point arithmetic; harmonic analysis; transient analysis; Fourier series; fixed-point iteration; harmonic balance method; harmonic components; nonlinear behavior; nonlinear eddy-current problems; steady-state methods; time-stepping methods; transient process; Differential equations; Eddy currents; Electromagnetic forces; Electromagnetic transients; Magnetic flux; Magnetic materials; Magnetic separation; Nonlinear equations; Nonlinear magnetics; Steady-state; Eddy currents; nonlinear equations; nonlinear magnetics; periodic functions;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2006.890961