Eddy Current Analysis of Litz Wire Using Homogenization-Based FEM in Conjunction With Integral Equation

A new method is introduced to evaluate the macroscopic permeability of a litz wire which is composed of stranded conductors. In this method, an integral equation is solved for the complex magnetization in the litz wire generated due to the proximity effect. The macroscopic permeability computed from the magnetization is used in the homogenization-based finite-element analysis of eddy currents in a litz-wire coil. It is shown that the wire twist has a little effect on the complex permeability.

[1]  H. Igarashi,et al.  Estimation of effective permeability of magnetic composite materials , 2005, IEEE Transactions on Magnetics.

[3]  Wenshan Hu,et al.  Frequency-Dependent Resistance of Litz-Wire Square Solenoid Coils and Quality Factor Optimization for Wireless Power Transfer , 2016, IEEE Transactions on Industrial Electronics.

[4]  Hajime Igarashi,et al.  Fast three-dimensional analysis of eddy currents in Litz wire using integral equation , 2016, 2016 IEEE Conference on Electromagnetic Field Computation (CEFC).

[5]  Johann W. Kolar,et al.  Litz wire losses: Effects of twisting imperfections , 2017, 2017 IEEE 18th Workshop on Control and Modeling for Power Electronics (COMPEL).

[6]  A. Podoltsev,et al.  Analysis of effective resistance and eddy-current losses in multiturn winding of high-frequency magnetic components , 2003 .

[7]  C.R. Sullivan,et al.  An Equivalent Complex Permeability Model for Litz-Wire Windings , 2009, IEEE Transactions on Industry Applications.

[8]  Charles R. Sullivan,et al.  Analytical model for effects of twisting on litz-wire losses , 2014, 2014 IEEE 15th Workshop on Control and Modeling for Power Electronics (COMPEL).

[9]  J. Gyselinck,et al.  Frequency-domain homogenization of bundles of wires in 2-D magnetodynamic FE calculations , 2005, IEEE Transactions on Magnetics.

[10]  F. Ollendorff Magnetostatik der Massekerne , 1931 .

[11]  Hajime Igarashi,et al.  Fast 3-D Analysis of Eddy Current in Litz Wire Using Integral Equation , 2017, IEEE Transactions on Magnetics.

[12]  Hajime Igarashi,et al.  Semi-Analytical Approach for Finite-Element Analysis of Multi-Turn Coil Considering Skin and Proximity Effects , 2017, IEEE Transactions on Magnetics.

[13]  H. Igarashi,et al.  Homogenization Method Based on Model Order Reduction for FE Analysis of Multi-Turn Coils , 2017, IEEE Transactions on Magnetics.

[14]  David C. Meeker,et al.  An improved continuum skin and proximity effect model for hexagonally packed wires , 2012, J. Comput. Appl. Math..