Lorentz Force Surface Integration Method: Calculation of Lorentz Force by Means of Surface Integrals

摘要

We propose a novel way of calculating the Lorentz force acting on a permanent magnet when moved relative to a conducting specimen which we call the Lorentz force surface integration method. We derive surface integrals and solutions for these integrals for the Lorentz force computation, which are valid for any geometry of the conducting specimen, movement direction, position, and orientation of the magnet. We exemplify our approach on a parallelepipedical specimen and a magnetic dipole, where we obtain normalized root-mean-square errors below 0.6% with respect to a reference finite-element solution.