Cauer Ladder Network Representation of Eddy-Current Fields for Model Order Reduction Using Finite-Element Method
- 23 August 2017
- journal article
- research article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Magnetics
- Vol. 54 (3), 1-4
- https://doi.org/10.1109/tmag.2017.2743224
Abstract
A novel model order reduction method for efficient analysis of linear eddy-current problems is proposed in which the quasi-static electromagnetic fields are expressed by a weighted sum of a sequence of static electric- and magnetic-field modes. The modes are calculated sequentially by static electric and static magnetic computations using the conventional finite-element method, and the time-dependent weights are the voltages and currents of an equivalent Cauer ladder network of the problem. In this paper, the formulation of the method and a numerical test problem are presented, and the accuracy and enormous efficiency of the method are demonstrated by solving a 3-D nonlinear inductor model with a voltage excitation by a dc-dc converter, linearized around the dc current using frozen differential permeability.Keywords
This publication has 10 references indexed in Scilit:
- Efficient circuit representation of eddy-current fieldsCOMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2017
- Synthesis of Cauer-Equivalent Circuit Based on Model Order Reduction Considering Nonlinear Magnetic PropertyIEEE Transactions on Magnetics, 2017
- High Frequency Nonlinear Modeling of Magnetic Sheets using Polynomial Expansions for Eddy-current FieldIEEJ Transactions on Power and Energy, 2017
- Fast Finite-Element Analysis of Motors Using Block Model Order ReductionIEEE Transactions on Magnetics, 2015
- Equivalent-Circuit Generation From Finite-Element Solution Using Proper Orthogonal DecompositionIEEE Transactions on Magnetics, 2015
- Cauer Circuit Representation of the Homogenized Eddy-Current Field Based on the Legendre Expansion for a Magnetic SheetIEEE Transactions on Magnetics, 2015
- Generation of Equivalent Circuit From Finite-Element Model Using Model Order ReductionIEEE Transactions on Magnetics, 2015
- Model Reduction of Three-Dimensional Eddy Current Problems Based on the Method of SnapshotsIEEE Transactions on Magnetics, 2013
- A general and natural method to define circuit relations associated with magnetic vector potential formulationsIEEE Transactions on Magnetics, 1999
- A natural method for coupling magnetodynamic H-formulations and circuit equationsIEEE Transactions on Magnetics, 1999