A nodal analysis approach for 2D and 3D magnetic-circuit coupled problems

This paper presents a unified approach for magnetic-circuit coupled problems in 2D and 3D. The approach is based on the A&oarr;-V formulation with the Coulomb gauge for low frequency eddy currents, and the modified nodal analysis method for electric circuit simulation. It supports static, time-harmonic and transient analysis types. Both stranded coils without eddy currents and massive conductors with eddy currents are included. Compared to other methods, the present approach can be easily implemented in existing finite element electromagnetic codes. Numerical examples are presented to validate the theory