Accurate computation of mutual inductance of two air core square coils with lateral and angular misalignments in a flat planar surface

This paper presents an analytical approach for computing the mutual inductance between two air core square coils placed in a flat planar surface. The mutual inductance of the coils is calculated for all possible variations including lateral and angular misalignments in space. In contrast to conventional approximated formulae, the straightforward approach based on Biot-Savart principle is used and their integrals are computed numerically. The results of computed mutual inductance by analytical method are validated by finite element analysis and an experimental setup. Finally, the analysis compares the three mutual inductance calculations: an analytical method, the finite-element model and an experimental results. The values computed by three methods in all cases are in good agreement.