The finite element method is one of the widely employed numerical techniques in electrical engineering for the study of electric and magnetic fields. When applied to the moving conductor problems, the finite element method is known to have numerical oscillations in the solution. To resolve this, the upwinding techniques, which are developed for the transport equation are borrowed and directly employed for the magnetic induction equation. In this work, an alternative weighted residual formulation is explored for the simulation of the linear moving conductor problems. The stability of the formulation is analytically studied for the 1D version of the moving conductor problem. Then the rate of convergence and the accuracy are illustrated with the help of several test cases in 1D as well as 2D. Subsequently, the stability of the formulation is demonstrated with a 3D moving conductor simulation.
翻译:有限元素法是电子工程中广泛使用的用于电磁场研究的数字技术之一;当应用于移动导体问题时,已知有限元素法在解决办法中具有数字振动作用;为解决这一问题,为运输方程式开发的向上推技术是借来的,直接用于磁感应方程式;在这项工作中,为模拟线性移动导体问题探索了另一种加权剩余配方;对1D型移动导体问题进行了分析研究,对配方的稳定性进行了分析研究;随后,在1D和2D多个试验案例的帮助下,展示了组合的趋同率和准确性。随后,3D移动导体模拟演示了配方的稳定性。