A method for modeling and power decoupling analysis of a ferrite toroidal core 3D magnetic network based on vector magnetic circuit theory

Abstract

This invention discloses a 3D magnetic network modeling and power decoupling analysis method for ferrite toroidal cores based on vector magnetic circuit theory. First, the active power loss and reactive power of the core under multiple temperature and magnetic flux density conditions are experimentally obtained, and a two-dimensional linear interpolation surface is constructed regarding temperature and magnetic flux density. The core is then discretized into a 3D structured mesh in cylindrical coordinates, and the branch geometric parameters are calculated. The winding is equivalent to a magnetomotive force source with circumferential branches connected in series. Based on the two-dimensional interpolation surface and geometric parameters, a nonlinear iterative solution is performed to obtain the converged 3D magnetic flux density distribution. Finally, the active power loss and reactive power of the branches are calculated to achieve power decoupling. This invention introduces an equivalent magnetic induction element to achieve explicit decoupling of active power loss and reactive power, significantly reducing computation time compared to three-dimensional finite element analysis. It maintains engineering-grade computational accuracy over a wide temperature and magnetic flux density range, providing an efficient tool for rapid design and loss assessment of toroidal cores.

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