NUMERICAL STUDY OF A TIME-DOMAIN FINITE ELEMENT METHOD FOR NONLINEAR MAGNETIC PROBLEMS IN THREE DIMENSIONS (Invited Paper)

In this work, numerical analysis of nonlinear ferromagnetic problems is presented using the three-dimensional time-domain finite element method (TDFEM). Formulated with the second-order nonlinear partial differential equation (PDE) combined with the inverse Jiles- Atherton (J-A) vector hysteresis mo...

Full description

Saved in:
Bibliographic Details
Published in:Electromagnetic waves (Cambridge, Mass.) Mass.), 2015-07, Vol.153, p.69-91
Main Authors: Yan, Su, Jin, Jian-Ming, Wang, Chao-Fu, Kotulski, Joseph
Format: Article
Language:English
Subjects:
Analysis
Differential equations
Ferromagnetism
Finite element method
Magnetic hysteresis
Methods
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this work, numerical analysis of nonlinear ferromagnetic problems is presented using the three-dimensional time-domain finite element method (TDFEM). Formulated with the second-order nonlinear partial differential equation (PDE) combined with the inverse Jiles- Atherton (J-A) vector hysteresis model, the nonlinear problems are solved in the time domain with the Newton-Raphson method. To solve the ordinary differential equation (ODE) representing the magnetic hysteresis accurately and efficiently, several ODE solvers are specifically designed and investigated. To improve the computational efficiency of the Newton-Raphson method, the multi-dimensional secant methods, aka Broyden's methods, are incorporated in the nonlinear TDFEM solver. A nonuniform time-stepping scheme is also developed using the weighted residual approach to remove the requirement of a uniform time-step size during the simulation. The capability and the performance of the proposed methods are demonstrated by various numerical examples.
ISSN:1559-8985
1070-4698
1559-8985
DOI:10.2528/PIER15091006