The phenomenon of linear motion of conductor in a magnetic field is commonly found in electric machineries such as, electromagnetic brakes, linear induction motor, electromagnetic flowmeter etc. The design and analysis of the same requires an accurate evaluation of induced currents and the associated reaction magnetic fields. The finite element method is a generally employed numerical technique for this purpose. However, it needs stabilization techniques to provide an accurate solution. In this work, such a stabilization technique is developed for the edge elements. The stability and hence the accuracy is brought in by a suitable representation of the source term. The stability and accuracy of the proposed scheme is first shown analytically and then demonstrated with the help of 2D and 3D simulations. The proposed scheme is parameter-free and it would require a graded regular mesh along the direction of motion.

翻译：导体在磁场中的线性运动现象常见于电磁制动器、线性感应电机、电磁流量计等电气设备中。其设计与分析需要精确评估感应电流及相应的反作用磁场。有限元法是解决此问题常用的数值技术，但需结合稳定化技术才能获得精确解。本研究针对棱边元开发了一种稳定化技术，通过源项的恰当表示实现了稳定性和精度。首先从理论上证明了所提方案的稳定性和精度，随后通过二维和三维仿真加以验证。该方案无需参数调整，但需沿运动方向采用渐变规则网格。