Three-Dimensional Eddy-Current Analysis in Steel Laminations of Electrical Machines as a Contribution for Improved Iron Loss Modeling

A finite-element method to compute the 3-D eddy-current distribution in steel laminations of electrical machines is presented and applied to the loss estimation of an induction machine. Two different eddy-current formulations, the A-V and A-T formulations, are investigated. The 3-D model is excited by boundary conditions derived from a 2-D field solution. The obtained eddy-current losses serve as a validation basis for those from two simplified iron loss models. The first one is the traditional model based on the statistical loss theory. The second one is the so-called hybrid model, which is based on the evaluation of magnetization curves. Both models are found to produce reasonable results for low-frequency losses. The hybrid model is particularly suitable for the estimation of high-order harmonic losses. The results from the models are compared to measured no-load iron loss data.

[1]  Christophe Geuzaine,et al.  A 3-D magnetic vector potential formulation taking eddy currents in lamination stacks into account , 2003 .

[2]  A. Arkkio,et al.  A General Model for Investigating the Effects of the Frequency Converter on the Magnetic Iron Losses of a Squirrel-Cage Induction Motor , 2009, IEEE Transactions on Magnetics.

[3]  F. Fiorillo,et al.  An improved approach to power losses in magnetic laminations under nonsinusoidal induction waveform , 1990 .

[4]  G. Ferrari,et al.  Rotational power losses in 3% SiFe as a function of frequency , 1978 .

[5]  T.J.E. Miller,et al.  On the variation with flux and frequency of the core loss coefficients in electrical machines , 2006, IEEE Transactions on Industry Applications.

[6]  Oszkar Biro,et al.  A FEM method for eddy current analysis in laminated media , 2005 .

[7]  R. Van Keer,et al.  Computational methods for the evaluation of the electromagnetic losses in electrical machinery , 1998 .

[8]  A. Arkkio,et al.  Analysis of the Convergence of the Fixed-Point Method Used for Solving Nonlinear Rotational Magnetic Field Problems , 2008, IEEE Transactions on Magnetics.

[9]  E Dlala,et al.  Inclusion of Eddy Currents in Laminations in Two-Dimensional Finite Element Analysis , 2010, IEEE Transactions on Magnetics.

[10]  Antero Arkkio,et al.  On the Importance of Incorporating Iron Losses in the Magnetic Field Solution of Electrical Machines , 2010, IEEE Transactions on Magnetics.

[11]  G. Henneberger,et al.  Calculation of 3D eddy current fields using both electric and magnetic vector potential in conducting regions , 1998 .

[12]  Luc Dupré,et al.  Calculation of no-load induction motor core losses using the rate-dependent Preisach model , 1998 .

[13]  Mario Chiampi,et al.  Prediction of losses in induction machines: a challenge for the modelling approaches , 2005 .

[14]  M. Chiampi,et al.  Magnetic flux distribution and losses in narrow ferromagnetic strips , 2000 .

[15]  O. Bíró Edge element formulations of eddy current problems , 1999 .

[16]  Katsumi Yamazaki,et al.  Iron-Loss Modeling for Rotating Machines: Comparison Between Bertotti's Three-Term Expression and 3-D Eddy-Current Analysis , 2010, IEEE Transactions on Magnetics.

[17]  E. Dlala,et al.  A Simplified Iron Loss Model for Laminated Magnetic Cores , 2008, IEEE Transactions on Magnetics.

[18]  P. Biringer,et al.  A simple method of estimating the minor loop hysteresis loss in thin laminations , 1978 .

[19]  L. Dupré,et al.  An Iron Loss Model For Electrical Machines Using The Preisach Theory , 1997, 1997 IEEE International Magnetics Conference (INTERMAG'97).

[20]  Andrea Cavagnino,et al.  Predicting iron losses in soft magnetic materials with arbitrary voltage supply: an engineering approach , 2003 .

[21]  Albert Foggia,et al.  A 3-D finite-element computation of eddy currents and losses in laminated iron cores allowing for electric and magnetic anisotropy , 1995 .

[22]  Afef Kedous-Lebouc,et al.  Influence of electrical sheet width on dynamic magnetic properties , 2000 .

[23]  E Dlala,et al.  Efficient Algorithms for the Inclusion of the Preisach Hysteresis Model in Nonlinear Finite-Element Methods , 2011, IEEE Transactions on Magnetics.

[24]  Antero Arkkio,et al.  Axial Flux and Eddy-Current Loss in Active Region of a Large-Sized Squirrel-Cage Induction Motor , 2010, IEEE Transactions on Magnetics.

[25]  K. Yamazaki,et al.  Loss Investigation of Interior Permanent-Magnet Motors Considering Carrier Harmonics and Magnet Eddy Currents , 2009, IEEE Transactions on Industry Applications.