Magnetic Coupling Spiral-Square Coil Mutual Inductance Evaluation for Interoperable Conditions with Different Misalignments

In this paper, an investigative method is used to evaluate the mutual inductance between two spiral square coils arranged on the transmitter and receiver sides of a flat planar surface. The investigation of mutual inductance between the coils is performed considering all potential spatial variations, including both lateral and angular misalignments. In empirical contexts, it has been noted that spiral square coils demonstrate a higher capacity to withstand planar misalignments in comparison to circular coils. Moreover, spiral square coils exhibit a higher coupling coefficient, which holds considerable significance. Although there exists a substantial body of literature on the investigation methods for mutual inductance (MI) in two spiral circular coils, as well as a recently enhanced Neumann's method, there has been a dearth of studies focused on MI calculation methods specifically tailored for spiral square coils. The validation of Neumann's technique for calculating mutual inductance is achieved by employing finite element analysis and an experimental configuration. A comparison is made between Neumann's method, a finite-element model, and the Simulink solution, which are three different ways to figure out mutual inductance. The results of the three techniques demonstrate a significant level of agreement in MATLAB/SIMULINK across all situations.