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Power cables have complex geometries in order to reduce their AC resistance. The cross-section of a cable consists of several conductors that are electrically insulated from each other to counteract the current displacement caused by the…

Numerical Analysis · Mathematics 2023-01-10 Albert Piwonski , Julien Dular , Rodrigo Silva Rezende , Rolf Schuhmann

This paper deals with the modelling of superconducting and resistive wires with a helicoidal symmetry, subjected to an external field and a transport current. Helicoidal structures are three-dimensional, and therefore yield computationally…

This paper presents a generalized energy-based modeling framework extending recent formulations tailored for differential-algebraic equations. The proposed structure, inspired by the port-Hamiltonian formalism, ensures passivity, preserves…

Numerical Analysis · Mathematics 2026-01-06 Robert Altmann , Idoia Cortes Garcia , Elias Paakkunainen , Philipp Schulze , Sebastian Schöps

This paper presents a numerically exact cable finite element model for static nonlinear analysis of cable structures. The model derives the exact expression of the tension field using the geometrically exact beam theory coupled with the…

Computational Engineering, Finance, and Science · Computer Science 2025-05-20 Wenxiong Li , Qikun Huang , Suiyin Chen

Conductivity reconstruction in an inverse eddy current problem is considered in the present paper. With the electric field measurement on part of domain boundary, we formulate the reconstruction problem to a constrained optimization problem…

Numerical Analysis · Mathematics 2023-07-04 Junqing Chen , Zehao Long

We address the problem of modeling termination resistances which are largely responsible for the uneven distribution of currents in superconducting cables. For such purpose we present three DC models. In a first model a 0D circuit-like…

Superconductivity · Physics 2017-05-30 Victor Zermeno , Philipp Krüger , Makoto Takayasu , Francesco Grilli

A novel strategy is proposed for the coupling of field and circuit equations when modeling power devices in the low-frequency regime. The resulting systems of differential-algebraic equations have a particular geometric structure which…

Numerical Analysis · Mathematics 2024-04-25 Herbert Egger , Idoia Cortes Garcia , Vsevolod Shashkov , Michael Wiesheu

Coordinate transformations provide dimensional reduction benefits across power system analysis, electric machine modeling, and power electronic converter control. This paper introduces a novel transformation based on Geometric Algebra that…

Systems and Control · Electrical Eng. & Systems 2025-09-15 Francisco G. Montoya , Santiago Sánchez Acevedo

Conductors made of high-temperature (HTS) wires helically wound in one or more layers on round tubes (CORT) are compact, flexible, and can carry a large amount of current. Although these conductors were initially developed for DC…

Superconductivity · Physics 2024-02-27 Steffen Elschner , Andrej Kudymow , Nicolo Riva , Francesco Grilli

Cables made of MgB2 superconductors are currently explored as a viable solution for transporting high electrical power in the AC regime. In order to be competitive against the DC solution, the cables need to have an acceptable level of AC…

Superconductivity · Physics 2017-05-30 F. Grilli , A. Chervyakov , V. Zermeno , A. Marian , G. Grasso , W. Goldacker , C. Rubbia

Marine cables under low tension and torsion on the sea floor can form highly contorted three-dimensional geometries that include loops (e.g. hockles) and tangles. These geometries arise from the conversion of torsional strain energy to…

Computational Physics · Physics 2007-05-23 Sachin Goyal , Noel C. Perkins , Christopher L. Lee

This paper analyzes different ways to simulate electromagnetically three-core armored cables in 3D by means of the finite element method. Full periodic models, as lengthy as 36 m, are developed to evaluate the accuracy when simulating only…

Systems and Control · Electrical Eng. & Systems 2024-01-24 Juan Carlos del-Pino-López , Marius Hatlo , Pedro Cruz-Romero

AC losses in conductor-on-rounded-core (CORC) cables of YBCO high-temperature superconducting (HTS) tapes are a significant challenge in HTS power applications. This study employs two finite element analysis (FEA) models to investigate the…

Superconductivity · Physics 2023-06-08 Linh N. Nguyen , Nathaniel Shields , Stephen Ashworth , Doan N. Nguyen

Electromagnetic phenomena are mathematically described by solutions of boundary value problems. For exploiting symmetries of these boundary value problems in a way that is offered by techniques of dimensional reduction, it needs to be…

Numerical Analysis · Mathematics 2020-04-20 Marcus Christian Lehmann , Mirsad Hadžiefendić , Albert Piwonski , Rolf Schuhmann

This paper presents analytic study and design considerations of flat wire inductors with distributed gaps for high-power and compact DC-DC Converters. The focus is eddy current loss components within the conductors due to fringing and…

Systems and Control · Electrical Eng. & Systems 2024-12-02 Sajjad Mohammadi , James L. Kirtley , Alireza Namadmalan

The optimization of a HTS cable design with respect to AC-losses is of crucial importance for the economic viability of the respective concept. However the experimental determination of AC-losses is not straightforward since for short cable…

A simple model of eddy currents in which current is computed solely from magnetic forces acting on electrons proves accessible to introductory students and gives a good qualitative account of eddy current forces. However, this model cannot…

Physics Education · Physics 2007-05-23 P. J. Salzman , John Robert Burke , Susan M. Lea

A wealth of literature exists on computing and visualizing cuts for the magnetic scalar potential of a current carrying conductor via Finite Element Methods (FEM) and harmonic maps to the circle. By a cut we refer to an orientable surface…

Computational Physics · Physics 2019-06-19 Alex Stockrahm , Valtteri Lahtinen , Jari J. J. Kangas , P. Robert Kotiuga

Conductor on a rounded core (CORC\textsuperscript{\textregistered}) cables with current densities beyond 300 A/mm$^{-2}$ at 4.2 K, and a capacity to retain around 90 $\%$ of critical current after bending to a diameter of 3.5 cm, make them…

Superconductivity · Physics 2022-07-13 M. U. Fareed , M. Kapolka , B. C. Robert , M. Clegg , H. S. Ruiz

For designing high-field electromagnets, the Lorentz force on coils must be computed to ensure a support structure is feasible, and the inductance should be computed to evaluate the stored energy. Also, the magnetic field and its variation…

Applied Physics · Physics 2023-10-19 Matt Landreman , Siena Hurwitz , Thomas M Antonsen
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