Generating a Cauer Ladder Network Representation of Eddy Current Fields Using Scalar Potentials

Bíró, Oszkár; Koster, Niels

doi:10.1109/tmag.2022.3171079

Cited by 1 publication

(5 citation statements)

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“…To do this instead of a voltage condition for Step 0, a 1/100 A current condition has been applied to all 100 strands. A voltage condition could be easily applied if either the A , V – or double scalar potential – formulation as in Ebrahimi et al (2020) or Bíró and Köster (2022) are used. But in our tests, the errors of these formulation with the same mesh were worse than double vector potential formulation used in this work.…”

Section: Cauer Ladder Model Order Reduction Methodsmentioning

confidence: 99%

“…This is not a trivial problem, and this is the main reason the double vector potential CLN formulation in Köster et al (2021) was used in this work. In the tests done for this work, it was able to capture the higher frequencies with coarser meshes better than for example the formulation with two scalar potentials in Bír o and Köster (2022).…”

Section: Cauer Ladder Model Order Reduction Methodsmentioning

confidence: 99%

“…The CLN method calculates the network parameters in Figure 2 and basis modes H n ( x ) and E n ( x ) (Kameari et al , 2018; Köster et al , 2021; Bíró and Köster, 2022). The fields H CLN and E CLN are approximating the fields H and E in equation (1): …”

Section: Cauer Ladder Model Order Reduction Methodsmentioning

confidence: 99%

“…This technique, called the CLN method, is previously solved in Ebrahimi et al (2020) with a magnetic vector potential A and scalar potential V. A more stable double vector formulation is shown in Köster et al (2021). A very fast double scalar potential formulation of the CLN method is shown in Bír o and Köster (2022). The method has also been extended to multiple expansion points in Kuriyama et al (2019).…”

Section: Introductionmentioning

confidence: 99%

“…A more stable double vector formulation is shown in Köster et al (2021). A very fast double scalar potential formulation of the CLN method is shown in Bíró and Köster (2022). The method has also been extended to multiple expansion points in Kuriyama et al (2019).…”

Section: Introductionmentioning

confidence: 99%

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Modelling stranded wires using homogenization and the Cauer ladder method

Koester,

Pichler,

Biro

2023

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Purpose The purpose of this paper is to introduce a new method to model a stranded wire efficiently in 3D finite element simulations. Design/methodology/approach In this method, the stranded wires are numerically approximated with the Cauer ladder network (CLN) model order reduction method in 2D. This approximates the eddy current effect such as the skin and proximity effect for the whole wire. This is then projected to a mesh which does not include each strand. The 3D fields are efficiently calculated with the CLN method and are projected in the 3D geometry to be used in simulations of electrical components with a current vector potential and a homogenized conductivity at each time step. Findings In applications where the stranded wire geometry is known and does not change, this homogenization approach is an efficient and accurate method, which can be used with any stranded wire configuration, homogenized stranded wire mesh and any input signal dependent on time steps or frequencies. Originality/value In comparison to other methods, this method has no direct frequency dependency, which makes the method usable in the time domain for an arbitrary input signal. The CLN can also be used to interconnected stranded cables arbitrarily in electrical components.

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Section: Cauer Ladder Model Order Reduction Methodsmentioning

confidence: 99%

Section: Cauer Ladder Model Order Reduction Methodsmentioning

confidence: 99%