Use of the Electric Vector Potential in the Finite Element Solution of Three-Dimensional Eddy Current Problems

摘要

In the thesis, three-dimensional eddy current formulations based on the electric vector potential are investigated. The finite element method is applied to the space discretization of the equations. In conducting regions, the induced field is described by the electric vector potential combined with the reduced magnetic scalar potential. In non-conducting regions, the induced field is described by the reduced magnetic scalar potential alone. The source field due to the current carrying coils is integrated from Biot-Savart's law. Excluding the conducting region from the solution region using an appropriate impedance boundary condition is also discussed. The validity of the described formulations and the developed program package is studied by means of test problems.