Cauer Ladder Network Representation of Eddy-Current Fields for Model Order Reduction Using Finite-Element Method

Matrix Formulation of the Cauer Ladder Network Method for Efficient Eddy-Current Analysis

“…Using the edge element w 1 i and facial element w 2 i [7], the vector potential A, electric field E and magnetic flux density B are represented in FE space as (1) where (2) which satisfies = b Ca (3) where C is the edge-face incident matrix [7]. The reluctivity matrix and conductivity matrix are defined as (4) where Ω is the analysis domain, μ is the permeability and σ is the conductivity.…”

“…The Cauer circuit representation was recently extended to describe general eddy-current fields powered by the finite element (FE) method. This method is called the Cauer ladder network (CLN) method [3] [4] and retains a clear physical meaning based on the orthogonal function expansion. The generality of the CLN method is similar to that of model order reduction (MOR) methods; e.g., the Padé approximation via the Lanczos (PVL) process [5] [6].…”

Fast computation of copper and iron losses using model order reduction

“…The continued function (5) is found to be the input impedance of the Cauer circuit shown in Fig.1. Although the Cauer circuit can be obtained by PVL [2] and CLN [3] in a similar way, CVL has the advantages that the continued function is derived directly for the general linear systems. The field in equation (2) : snapshots…”

Dynamical Model of an Electromagnet using Cauer Ladder Network Representation of Eddy-current Fields

“…This method adopts the Cauer ladder network (CLN) as an equivalent circuit of the eddy-current field (5) . There, the magnetic field can be represented by linear combinations of distribution functions, obtained by FE static analyses performed beforehand.…”

“…(5), where it is assumed implicitly that any eddy-current field should be transformed to c 2018 The Institute of Electrical Engineers of Japan. Fig.…”