Conductor moving in magnetic field is quite common in electrical equipment. The numerical simulation of such problem is vital in their design and analysis of electrical equipment. The Galerkin finite element method (GFEM) is a commonly employed simulation tool, nonetheless, due to its inherent numerical instability at higher velocities, the GFEM requires upwinding techniques to handle moving conductor problems. The Streamline Upwinding/Petrov-Galerkin (SU/PG) scheme is a widely acknowledged upwinding technique, despite its error-peaking at the transverse boundary. This error at the transverse-boundary, is found to be leading to non-physical solutions. Several remedies have been suggested in the allied fluid dynamics literature, which employs non-linear, iterative techniques. The present work attempts to address this issue, by retaining the computational efficiency of the GFEM. By suitable analysis, it is shown that the source of the problem can be attributed to the Coulomb's gauge. Therefore, to solve the problem, the Coulomb's gauge is taken out from the formulation and the associated weak form is derived. The effectiveness of this technique is demonstrated with pertinent numerical results.
翻译:电磁场的导体移动在电气设备中十分常见。 这些问题的数字模拟在电子设备的设计和分析中至关重要。 Galerkin 有限元素法(GFEM)是一个常用的模拟工具, 然而,由于高速度的内在数字不稳定性, GFEM 需要上风技术来处理移动导体问题。 简化上风/ Petrov-Galerkin (SU/PG) 计划是一种广泛承认的上风技术, 尽管它在横跨边界上出现错误。 跨边界的这一错误发现导致非物理解决办法。 使用非线性、 迭接技术的联结液体动态文献中已经提出了几种补救措施。 目前为解决这一问题, 通过保留 GFEM 的计算效率, 试图解决这个问题。 通过适当的分析, 显示问题的根源可以归属于Coulomb 的测量仪。 因此, 为了解决问题, Coulomb 测量仪是从配方取出来的, 并由此得出了相关微弱的形态。 该技术的有效性与数值有关。