The Source-Stabilized Galerkin Formulation for Linear Moving Conductor Problems With Edge Elements

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, and so on. The design and analysis of the same require an accurate evaluation of induced currents and the associated reaction magnetic fields. The finite-element method (FEM) 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 are brought in by a suitable representation of the source term. The stability and accuracy of the proposed scheme are first shown analytically and then demonstrated with the help of 2-D and 3-D simulations. The proposed scheme would require a graded regular mesh along the direction of motion.