3D line current model of coils and external circuits

Dreher, T.; Meunier, G.

doi:10.1109/20.376398

Cited by 20 publications

(5 citation statements)

References 3 publications

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“…The simulation of coupled multiphysical problems can be dealt with in several ways. They can either be solved in a monolithical way, where the different physical equations are coupled together in a potentially large system [140], [141], or they can be co-simulated [31], [32], [142]. These techniques allow to solve the systems separately and exchange information between them to connect their behaviour.…”

Section: Optimised Waveform Relaxationmentioning

confidence: 99%

Mathematical Analysis and Simulation of Field Models in Accelerator Circuits

Garcia¹

2021

Springer Theses

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Section: Optimised Waveform Relaxationmentioning

confidence: 99%

Mathematical Analysis and Simulation of Field Models in Accelerator Circuits

Garcia¹

2021

Springer Theses

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“…It is either solved 'monolithically' as one system, such as e.g. proposed in [3] or it is coupled 'weakly' using additional iterations or exploiting temporary linearizations [4], [5], [6]. In most cases, the coupling is established via current sources, voltage sources or inductances.…”

Section: Introductionmentioning

confidence: 99%

Optimized Field/Circuit Coupling for the Simulation of Quenches in Superconducting Magnets

Garcia

Schöps

Maciejewski

et al. 2017

IEEE J. Multiscale Multiphys. Comput. Tech.

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“…The most important are nodal analysis, loop analysis, sparse tableau and signal flow graph approaches in various variants, e.g. flux-charge-oriented, modified and compact (Potter and Cambrell, 1983;Dreher and Meunier, 1995;De Gersem et al, 1998). Nowadays, the modified nodal analysis (MNA) is used in almost all open-source as well as commercial circuit simulators, e.g.…”

Section: Introductionmentioning

confidence: 99%

Winding functions in transient magnetoquasistatic field-circuit coupled simulations

Schöps

Gersem

Weiland

2013

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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Purpose – The purpose of this paper is to review the mutual coupling of electromagnetic fields in the magnetic vector potential formulation with electric circuits in terms of (modified) nodal and loop analyses. It aims for an unified and generic notation. Design/methodology/approach – The coupled formulation is derived rigorously using the concept of winding functions. Strong and weak coupling approaches are proposed and examples are given. Discretization methods of the partial differential equations and in particular the winding functions are discussed. Reasons for instabilities in the numerical time domain simulation of the coupled formulation are presented using results from differential-algebraic-index analysis. Findings – This paper establishes a unified notation for different conductor models, e.g. solid, stranded and foil conductors and shows their structural equivalence. The structural information explains numerical instabilities in the case of current excitation. Originality/value – The presentation of winding functions allows to generically describe the coupling, embed the circuit equations into the de Rham complex and visualize them by Tonti diagrams. This is of value for scientists interested in differential geometry and engineers that work in the field of numerical simulation of field-circuit coupled problems.

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3D line current model of coils and external circuits

Cited by 20 publications

References 3 publications

Mathematical Analysis and Simulation of Field Models in Accelerator Circuits

Mathematical Analysis and Simulation of Field Models in Accelerator Circuits

Optimized Field/Circuit Coupling for the Simulation of Quenches in Superconducting Magnets

Winding functions in transient magnetoquasistatic field-circuit coupled simulations

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