Modal Decomposition of 3-D Quasi-Static Maxwell Equations by Cauer Ladder Network Representation

Significant advances have been made to the Cauer ladder network method, an attractive method recently proposed for the model order reduction of linear eddy-current problems. However, these developments are often discussed in the context of simple 2-D problems with solid conductors only. The 3-D implementation of the method with general coil connections requires further treatment and deserves detailed discussion. This article reformulates the method for 3-D implementation with stranded coils (with no eddy current) as well as solid conductors with arbitrary connections between coils and external resistors.