论文标题
稳定的加权残留有限元公式，用于模拟线性移动导体问题
A Stable Weighted Residual Finite Element Formulation for the Simulation of Linear Moving Conductor Problems
论文作者
论文摘要
有限元方法是电气和磁场研究的电气工程中广泛使用的数值技术之一。当应用于移动导体问题时，已知有限元方法在溶液中具有数值振荡。为了解决这一问题，为传输方程开发的前风技术被借入并直接用于磁感应方程式。在这项工作中，探索了替代加权剩余配方，以模拟线性移动导体问题。该公式是无参数的，对于移动导体问题的1D版本，对公式的稳定性进行了分析研究。然后在1D和2D的几个测试用例的帮助下说明了收敛速度和准确性。随后，通过3D移动导体模拟证明了公式的稳定性。
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 formulation is parameter-free and 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.
