Finite Element Implementation and Experimental Validation of 2-D/3-D Magnetic Force Formulas

A framework for the finite element implementation of the formulas of local and global electromagnetic forces is presented. The theoretical framework, based on the Lie derivative, is applicable to 2-D and 3-D problems in the presence of arbitrary materials. The numerical properties of the proposed implementation, in terms of accuracy and convergence, are analyzed. An experimental setup is also presented for which accurate measurements have been carried out, and that can serve as a benchmark for the implementation.