A Comprehensive Study of Steady-State Modeling Techniques for Magnetic Coupling in DC/DC Converters

Magnetic coupling is widely employed in multiphase interleaved DC/DC converters owing to its inherent advantages of current ripple reduction and DC flux cancellation. However, steady-state modeling of magnetically coupled multiphase topologies is inherently complex as a result of the combined effects of multiphase coupling and interleaved operation, particularly given the wide variety of possible coupling configurations. This paper consolidates and systematizes existing steady-state modeling approaches for interleaved multiphase converters with magnetic coupling, encompassing closed-form analytical solutions, piecewise analytical formulations, and numerical solutions. Based on these approaches, steady-state models were further derived for a broad class of practically relevant magnetic coupling topologies, providing a systematic framework that is beneficial for both system-level analysis and magnetic component design. To validate the modeling techniques, the considered topologies were verified through PLECS simulations, and the experimental results for a representative configuration were presented to demonstrate the accuracy and applicability of the models.