High Order Time-Discretizaion Method for Finite Element Analysis of 2D and 3D Transient Magnetic Fields

The space and time discretization methods are crucial for obtaining accurate finite element (FE) solutions. In this paper, a high-order time-discretization FE scheme is investigated for solving transient magnetic fields. The initial value is carefully chosen to ensure the smooth start-up of the FE formulation. The proposed method largely outperformed the widely-used backward Euler method for its well-known low temporal accuracy. The effectiveness of the calculation method has been verified through a benchmark example of the TEAM 30A problem.