Finite element solution based on hybrid potential function for low-frequency electromagnetic problems [RFEC probe design]

In this paper, a modified 3D finite element solution is presented for the design of remote field eddy current (RFEC) 3D probes, as well as optimization of the numerical technique. This formulation, called the hybrid potential-based formulation or A, v-As-psi formulation, has overcome the sudden-change of magnetic potential on the joint surface between the source and vacuum region. The frontal technique is also applied to make computation more efficient, and solve the changeable-degree node problem. Furthermore, a substructure-front method is developed to solve the chain-structure calculation of RFEC. Numerical results shows good validation and efficiency of the modified method.