Dual magnetodynamic formulations and their source fields associated with massive and stranded inductors

The treatment of massive and stranded inductors is studied in the frame of dual magnetodynamic finite element h- and /spl alpha/-formulations. On both sides, edge finite elements are used and source fields are defined when needed as mathematical tools to be used directly in each formulation to lead to circuit relations for inductors. Simplified expressions of source fields are proposed. The accuracy obtained on local solutions and circuit parameters is pointed out.

[1]  Using Laplace's equation for defining magnetizing current densities for 3D analysis with edge elements , 1999 .

[2]  Christophe Geuzaine,et al.  A natural method for coupling magnetodynamic H-formulations and circuit equations , 1999 .

[3]  Alain Bossavit TWO DUAL FORMULATIONS OF THE 3‐D EDDY‐CURRENTS PROBLEM , 1985 .

[4]  P. Dular,et al.  Dual complete procedures to take stranded inductors into account in magnetic vector potential formulations , 2000 .

[5]  C. Golovanov,et al.  3D edge element based formulation coupled to electric circuits , 1998 .

[6]  A. Bossavit,et al.  Magnetostatic problems in multiply connected regions: some properties of the curl operator , 1988 .

[7]  Koji Fujiwara,et al.  Improvements of the T- Omega method for 3-D eddy current analysis , 1988 .

[8]  Francis Piriou,et al.  Determination and utilization of the source field in 3D magnetostatic problems , 1998 .

[9]  François Henrotte,et al.  A generalized source magnetic field calculation method for inductors of any shape , 1997 .

[10]  A. Bossavit A rationale for 'edge-elements' in 3-D fields computations , 1988 .

[11]  Patrick Dular,et al.  Coupling of local and global quantities in various finite element formulations and its application to electrostatics, magnetostatics and magnetodynamics , 1998 .

[12]  Raffaele Albanese,et al.  Magnetostatic field computations in terms of two‐component vector potentials , 1990 .

[13]  D. Rodger,et al.  Calculation of AC losses in current forced conductors using 3D finite elements and the A psi V method , 1990 .

[14]  Christian Magele,et al.  Different finite element formulations of 3D magnetostatic fields , 1992 .

[15]  A. Kladas,et al.  A new scalar potential formulation for 3-D magnetostatics necessitating no source field calculation , 1992 .

[16]  Y. Marechal,et al.  Computation of coupled problem of 3D eddy current and electrical circuit by using T/sub 0/-T-/spl phi/ formulation , 1998 .

[17]  F. Piriou,et al.  Study of 3D formulations to model electromagnetic devices , 1994 .

[18]  D. Rodger,et al.  Voltage forced coils for 3D finite-element electromagnetic models , 1988 .

[19]  François Henrotte,et al.  A general and natural method to define circuit relations associated with magnetic vector potential formulations , 1999 .

[20]  J. P. Webb,et al.  A single scalar potential method for 3D magnetostatics using edge elements , 1989, International Magnetics Conference.