Reduced Magnetic Vector Potential and Electric Scalar Potential Formulation for Eddy Current Modeling (Postprint)

摘要

A new formulation using the reduced magnetic vector potential and the electric scalar potential is proposed for modeling of eddy current (EC) problems using finite element analysis. The major advantage of the proposed formulation is that it eliminates the need for meshing the current source. In EC nondestructive testing the probe coil scans across the sample which involves motion of the coil. Simulation of EC scans in conventional finite element models requires considerable re-meshing. In the proposed formulation, the mesh and system matrix remain unchanged with different coil positions. The incomplete factorization of the system matrix as pre-conditioner is performed only once during the entire scan, which results in a significant reduction of computation time.