Title :
Newton-Raphson method and fixed-point technique in finite element computation of magnetic field problems in media with hysteresis
Author_Institution :
Lab. of Electromech., Helsinki Univ. of Technol., Espoo, Finland
fDate :
5/1/1999 12:00:00 AM
Abstract :
A comparison between the Newton-Raphson method and the fixed-point technique in hysteretic magnetic field problems is presented. Four different approaches are studied and contrast between them in terms of the convergence rate and computation time consumption is highlighted. The Newton-Raphson-based approaches are found better than the iteration schemes associated with the fixed-point technique for a model problem
Keywords :
Newton-Raphson method; convergence of numerical methods; finite element analysis; fixed point arithmetic; magnetic fields; magnetic hysteresis; Newton-Raphson method; computation time; convergence rate; finite element computation; fixed-point technique; hysteretic magnetic field problems; iteration schemes; Core loss; Finite element methods; Lamination; Magnetic fields; Magnetic hysteresis; Magnetic materials; Magnetostatics; Newton method; Nonlinear equations; Soft magnetic materials;
Journal_Title :
Magnetics, IEEE Transactions on