Analytical Model for Mutual Inductance Prediction Between Horizontal Inductors With Arbitrary Orientations

Abstract

This letter presents the validation of an analytical approach for predicting the mutual inductance between two horizontal inductors with arbitrary orientations. A case scenario is developed to demonstrate that the method previously introduced by the authors for particular orientations (parallel and perpendicular) can be effectively extended to arbitrary orientations with good accuracy. The variation of mutual inductance as a function of the angle between the inductor axes is also examined. Furthermore, the study highlights the advantage of employing a comprehensive model that accounts for both primary and secondary coupling surfaces, leading to improved accuracy in determining the global equivalent mutual inductance compared to models that consider only the primary surface. Regardless of orientation, the proposed model provides a computationally efficient and accurate alternative to full-wave simulations for analyzing near-field magnetic coupling between horizontal inductors.