Title :
Performance of different vector potential formulations in solving multiply connected 3-D eddy current problems
Author :
Biro, O. ; Preis, K. ; Renhart, W. ; Richter, K.R. ; Vrisk, G.
Author_Institution :
Inst. for Fundamentals & Theor. in Electr. Eng., Graz Univ. of Technol., Austria
fDate :
3/1/1990 12:00:00 AM
Abstract :
The authors describe their numerical experiences in applying FEM (finite-element method) solution techniques to a 3-D (three-dimensional) eddy-current problem with a coil-driven multiply connected conductor, the benchmark problem No.7 of the International TEAM Workshops. Several formulations have been tried using a magnetic vector and electric scalar potential or an electric vector and a magnetic scalar in the conductor and a magnetic vector or scalar potential outside. The problem has been solved at two frequencies. The authors briefly describe the formulations used and compare the performance. Magnetic field and current density plots are also compared. The advantages and disadvantages of the various versions are pointed out. The use of a magnetic scalar potential H rather than a magnetic vector potential A outside the conductor and the hole substantially reduces the number of degrees of freedom and thus the computational effort. The versions using it in the conductor yield relatively ill-conditioned systems. Also, at the higher frequency, the conditioning deteriorates considerably
Keywords :
coils; eddy currents; finite element analysis; numerical methods; 3D eddy current; FEM solution technique; coil-driven multiply connected conductor; current density; electric scalar potential; finite-element method; magnetic field-current density plot; magnetic scalar potential; magnetic vector potential; vector potential formulations; Aluminum; Boundary conditions; Coils; Conductors; Current density; Eddy currents; Electric potential; Finite element methods; Magnetic fields; Paper technology;
Journal_Title :
Magnetics, IEEE Transactions on