Error Estimation of the Cauer Ladder Network Method Based on Eigenfunction Expansion

The Cauer ladder network (CLN) method is a model order reduction (MOR) technique used for quasi-static electromagnetic field analysis. In this study, we derive an explicit formula for the error of the truncated transfer function and its error estimators using the eigenvalues of a linear operator and the orthogonal polynomials associated with the basis functions of the CLN method. The effectiveness of the proposed method is clarified through the finite element analysis of a 2-D inductor model.