Multi-Port Model Order Reduction Using a Matrix Cauer Ladder Network

Matsuo, Tetsuji; Fujiwara, Takayuki; Kuriyama, Kenta; Sugahara, K.; Kameari, A.; Tokumasu, Tadashi; Shindo, Yuji

doi:10.1109/tmag.2019.2952103

Cited by 11 publications

(9 citation statements)

References 12 publications

(25 reference statements)

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“…In [11], authors account for saturable materials and rotational motion. It is also worth mentioning approaches based on ad-hoc segmentations [12] or on the generation of Cauer ladder networks (CLN) with a suitable sampling of the motion space [13] and the generalisation to multi-port systems [14]; the link between these CLN approaches and the PGD has been pointed out in [15].…”

Section: Introductionmentioning

confidence: 99%

RL-Ladder Circuit Models for Eddy-Current Problems With Translational Movement

et al. 2022

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This paper proposes an adaptive equivalent RL-circuit model for eddy-current devices with a single electrical port (one terminal voltage and current) and translational movement. The device is first characterised by means of frequency-domain finite-element computations in the relevant frequency and position intervals, for subsequently fitting constant-coefficient RL-ladder circuits of adjustable size (i.e. variable number of branches and loops). The accuracy of the ladder-circuit model is assessed in both frequency and time domain. The time-varying position involves the force computation from the circuit and the coupling with the mechanical equation. By way of validation, we study the axisymmetric magnetic-levitation device of TEAM Workshop problem 28. Results exhibit good convergence to reference finite-element ones with the increasing number of branches.

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Section: Introductionmentioning

confidence: 99%

RL-Ladder Circuit Models for Eddy-Current Problems With Translational Movement

et al. 2022

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“…Model-order reduction (MOR) methods can reduce the computation time of motor analyses [1]- [3]. The Cauer ladder network (CLN) method, which is an efficient MOR method, was extended to a multi-port model [4] and applied to a linear induction motor [5]. However, incorporating magnetic saturation in the MOR methods remains an open problem.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Model Order Reduction of Induction Motors Using Parameterized Cauer Ladder Network Method

Tobita

Matsuo

2022

IEEE Trans. Magn.

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In this study, we established the nonlinear model order reduction (MOR) of induction motors by parameterizing a multi-port Cauer ladder network (CLN). Appropriate parameters were selected to incorporate nonlinear magnetic characteristics. The parameterized multi-port CLN was applied to the transient analysis of a rotating induction motor. The proposed method reproduced the finiteelement analysis results with various driving frequencies and slips. The parameterized multi-port CLN can effectively reduce the computation time for analyses requiring a large number of time steps.

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“…To cover a wide range of frequencies, a non-zero expansion point and even multiple expansion points can be used (Kuriyama et al , 2019). The CLN method has been extended to allow multi-port MOR (Matsuo et al , 2020). Questions that arise during the application of the CLN method are as follows: How to truncate the CLN? How to choose the static FEM mesh to get the best approximation with the smallest possible number of degrees of freedom (DoF)? …”

Section: Introductionmentioning

confidence: 99%

“…To cover a wide range of frequencies, a nonzero expansion point and even multiple expansion points can be used (Kuriyama et al, 2019). The CLN method has been extended to allow multi-port MOR (Matsuo et al, 2020). Questions that arise during the application of the CLN method are as follows:…”

Section: Introductionmentioning

confidence: 99%

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

Koester

Koenig²,

Thaler

et al. 2021

COMPEL

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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.

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Multi-Port Model Order Reduction Using a Matrix Cauer Ladder Network

Cited by 11 publications

References 12 publications

RL-Ladder Circuit Models for Eddy-Current Problems With Translational Movement

RL-Ladder Circuit Models for Eddy-Current Problems With Translational Movement

Nonlinear Model Order Reduction of Induction Motors Using Parameterized Cauer Ladder Network Method

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

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