PEEL modeling and reduction studies based on nonuniform mesh and Arnoldi algorithm

With the increase of the conductor dimensions and the considered frequencies, the effective mesh and model reduction approaches must be studied. Based on the current distribution regularity of a conductor, this paper puts forward a novel multi-skin depth non-uniform mesh method (MSDNMM). Then, the intrinsic numerical ill-conditioning of asymptotic waveform evaluation (AWE) reduction method is pointed out due to the direct moment matching. Furthermore, Arnoldi algorithm is proposed to reduce the high-order original system. The new algorithm transfers the moment direct explicit computation to indirect implicit calculation. Finally, the resistances and inductances of the reduced branches with skin effect is obtained independent of frequencies, which is validated by examples.