Generalized Elements for a Structural Analysis of Circuits

Garcia, Idoia Cortes; Schöps, Sebastian; Strohm, Christian; Tischendorf, Caren

doi:10.1007/978-3-030-53905-4_13

Cited by 7 publications

(7 citation statements)

References 32 publications

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“…The second example, Section III-A2, forms a LI -cutset and may lead to numerical problems, e.g., high sensitivity towards noise as observed. [32] to classify field models as refined elements and to include them in the index result of Theorem 1. Resistance-like, inductancelike and capacitance-like elements are defined.…”

Section: Theorem 1 (Differential Index Of Circuits [31]) Circuits Mod...mentioning

confidence: 99%

“…In the following, a simplified version of the (strongly) inductance-like element definition [32] will be used. The definition is more restrictive but still sufficient for the analysis of linear systems such as the foil conductor model discussed here.…”

Section: Generalized Circuit Elements Have Been Introduced Inmentioning

confidence: 99%

“…In addition to inductance-like, [32] defines resistance-like and capacitance-like elements. Roughly speaking, a (simplified) resistance-like element is defined similarly to the inductance-like element in Definition 2, with the key difference being that the implicit relation between the current i and the voltage v is…”

Section: Generalized Circuit Elements Have Been Introduced Inmentioning

confidence: 99%

“…For a formal definition of resistance-like as well as capacitance-like elements we refer to [32]. The conclusions drawn in Section III-B for the differential index of the circuits containing only an inductance and a source as well as Theorem 1 remain unchanged if the elements are replaced with their generalized definitions.…”

Section: Generalized Circuit Elements Have Been Introduced Inmentioning

confidence: 99%

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A Stabilized Circuit-Consistent Foil Conductor Model

Paakkunainen,

Bundschuh,

Garcia

et al. 2024

IEEE Access

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The magnetoquasistatic simulation of large power converters, in particular transformers, requires efficient models for their foils windings by means of homogenization techniques. Using the standard solid and stranded conductor models is not computationally feasible for a foil winding. In this article, the classical foil conductor model is derived and, for the first time, an inconsistency in terms of circuit theory is reported, which may lead to time-stepping instability. The inconsistency can be related to the differential-algebraic nature of the resulting system of equations. A new modified definition of the turnby-turn conductance matrix of the foil conductor model is shown to mitigate this problem. The different structure of the systems using the alternative turn-by-turn conductance matrix definitions is examined in detail. Numerical results are presented to demonstrate the instability of the original foil conductor model and to verify the effectiveness of the new proposed model.INDEX TERMS Foil conductor model, foil winding, differential algebraic equation, differential index, finite element method.

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Section: Theorem 1 (Differential Index Of Circuits [31]) Circuits Mod...mentioning

confidence: 99%

Section: Generalized Circuit Elements Have Been Introduced Inmentioning

confidence: 99%

Section: Generalized Circuit Elements Have Been Introduced Inmentioning

confidence: 99%

Section: Generalized Circuit Elements Have Been Introduced Inmentioning

confidence: 99%

See 2 more Smart Citations

A Stabilized Circuit-Consistent Foil Conductor Model

Paakkunainen,

Bundschuh,

Garcia

et al. 2024

IEEE Access

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“…Furthermore, the thick cuts can be created automatically using an existing open-source implementation in Gmsh [24], [27], even for complicated geometries. Currents I i can be imposed in a strong sense by fixing the corresponding coefficient while, voltages V i can only be imposed weakly [28], [29], allowing to simulate an operation of the coil in current-driven (or voltage-driven) mode and to access terminal voltages (currents) easily.…”

Section: It Consists Of An Insulating Domainmentioning

confidence: 99%

Electromagnetic Simulation of No-Insulation Coils Using H – $\phi$ Thin Shell Approximation

Schnaubelt

Woźniak

Schöps

et al. 2023

IEEE Trans. Appl. Supercond.

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When simulating no-insulation high-temperature superconducting pancake coils with the finite element (FE) method, the high aspect ratio of the thin turn-to-turn contact layer (T2TCL) leads to unfavorable meshes in these thin layers as manifested by a high number of degrees of freedom (DoF) or mesh elements of poor quality which decrease the accuracy of the simulation results. To mitigate this issue, we propose to collapse the T2TCL volume into a surface using a thin shell approximation (TSA) for three-dimensional FE analysis. A ⃗ H − ϕ formulation is used and solves for the magnetic field strength ⃗ H in conducting domains and the magnetic scalar potential ϕ in insulating domains. This formulation avoids spurious currents and reduces the number of DoF in insulating domains. Automatically created thick cuts are used to deal with multiply connected domains. Particular attention is paid to the interpretation of these cuts and the corresponding basis functions in the context of pancake coil geometries.The efficiency of the formulation facilitates the resolution of each turn. In this way, local phenomena such as quench can be captured in a straightforward way. The TSA formulation is verified by comparison against a reference model with volumetrically meshed T2TCL and is shown to be accurate and efficient, significantly reducing the solution time while reducing the effort for creating high-quality meshes. The TSA is implemented in an open-source FE framework and the source code is shared alongside this paper.

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Introduction

Garcia

2021

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Generalized Elements for a Structural Analysis of Circuits

Cited by 7 publications

References 32 publications

A Stabilized Circuit-Consistent Foil Conductor Model

A Stabilized Circuit-Consistent Foil Conductor Model

Electromagnetic Simulation of No-Insulation Coils Using H – $\phi$ Thin Shell Approximation

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