Application of model order reduction with Cauer ladder networks to industrial inductors. Issue 3 (28th December 2021)

• Record Type: Journal Article
• Authors: Koester, Niels; Koenig, Oliver; Thaler, Alexander; Bíró, Oszkár
• Is Part Of: Compel. Volume 41:Issue 3(2022)
• Page Start: 867
• Page End: 877
• Publication Date: 2021-12-28
• Subjects: Cauer ladder networks -- Eddy current problem -- Finite element method -- Model order reduction -- Electromagnetic fields -- Eddy currents -- Equivalent circuit model; Electrical engineering -- Data Processing -- Periodicals; Electrical engineering -- Mathematics -- Periodicals; Electrical engineering -- Periodicals; Electronics -- Data Processing -- Periodicals; Electronics -- Mathematics -- Periodicals; 621.3
• DOI: 10.1108/COMPEL-02-2021-0058
• Languages: English
• ISSNs: 0332-1649

Abstract

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.