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Application of model order reduction with Cauer ladder networks to industrial inductors

Niels Koester (Department E: Electrics/Electronics and Software, VIRTUAL VEHICLE Research Center, Graz, Austria)
Oliver Koenig (Product Development Control Systems, LGCO, Graz, Austria)
Alexander Thaler (Department E: Electrics/Electronics and Software, VIRTUAL VEHICLE Research Center, Graz, Austria)
Oszkár Bíró (Institute of Fundamentals and Theory in Electrical Engineering, Graz, Austria)

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering

ISSN: 0332-1649

Article publication date: 28 December 2021

Issue publication date: 10 May 2022

82

Abstract

Purpose

The Cauer ladder network (CLN) model order reduction (MOR) method is applied to an industrial inductor. This paper aims to to anaylse the influence of different meshes on the CLN method and their parameters.

Design/methodology/approach

The industrial inductor is simulated with the CLN method for different meshes. Meshes considering skin effect are compared with equidistant meshes. The inductor is also simulated with the eddy current finite element method (ECFEM) for frequencies 1 kHz to 1 MHz. The solution of the CLN method is compared with the ECFEM solutions for the current density in the conductor and the total impedance.

Findings

The increase of resistance resulting from the skin effect can be modelled with the CLN method, using a uniform mesh with elements much larger than the skin depth. Meshes taking account of the skin depth are only needed if the electromagnetic fields have to be reconstructed. Additionally, the convergence of the impedance is used to define a stopping criterion without the need for a benchmark solution.

Originality/value

The work shows that the CLN method can generate a network, which is capable of mimicking the increase of resistance usually accompanied by the skin effect without using a mesh that takes the skin depth into account. In addition, the proposed stopping criterion makes it possible to use the CLN method as an a priori MOR technique.

Keywords

Acknowledgements

This project has received funding from the ECSEL Joint Undertaking under grant agreement No 783174. The publication was written at Virtual Vehicle Research GmbH in Graz and partially funded within the COMET K2 Competence Centers for Excellent Technologies from the Austrian Federal Ministry for Climate Action (BMK), the Austrian Federal Ministry for Digital and Economic Affairs (BMDW), the Province of Styria (Dept. 12) and the Styrian Business Promotion Agency (SFG). The Austrian Research Promotion Agency (FFG) has been authorised for the program management.

Citation

Koester, N., Koenig, O., Thaler, A. and Bíró, O. (2022), "Application of model order reduction with Cauer ladder networks to industrial inductors", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 41 No. 3, pp. 867-877. https://doi.org/10.1108/COMPEL-02-2021-0058

Publisher

:

Emerald Publishing Limited

Copyright © 2021, Emerald Publishing Limited

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