Parameter extraction of eddy-current magnetic field-circuit coupled problems using matrix analysis method

An accurate equivalent circuit model to represent a 2-dimentional (2-D) eddy-current magnetic field is presented. The magnetic field can be coupled with stranded windings and solid conductors. To develop the formulations of impedance computation, two systematic matrix analysis methods based on the system equations, one using loop method and one using nodal method, are presented. In the proposed work it is pointed out that each solid conductor must be represented by a circuit branch. With this approach the effect of eddy-current can be fully included in the equivalent circuit model. The paper also presents the formulations for the computation of the total power loss for magnetic field - circuit coupled problems and discusses a common mistake in many applications.