Comparison of three eddy current formulations for superconductor hysteresis loss modelling

Lahtinen, Valtteri; Lyly, M.; Stenvall, Antti; Tarhasaari, T.

doi:10.1088/0953-2048/25/11/115001

Cited by 50 publications

(43 citation statements)

References 25 publications

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“…The value of ρ in the air region was defined as 1 m W . This value must be nonzero in order to avoid getting a singular system of equations [9], while having a negligible impact on the quality of the results. For bulk superconductors, the value of ρ used in this work was derived from the power-law model [16] and an exponential dependence of the critical current (J c ) on the magnetic field [14], i.e.,…”

Section: Magnetic Bearing Modelingmentioning

confidence: 99%

H-formulation for simulating levitation forces acting on HTS bulks and stacks of 2G coated conductors

Sass¹,

Sotelo²,

Andrade³

et al. 2015

Supercond. Sci. Technol.

124

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Several techniques to model high temperature superconductors (HTSs) are used throughout the world. At the same time, the use of superconductors in transportation and magnetic bearings promises an increase in energy efficiency. However, the most widespread simulation technique in the literature, the H-formulation, has not yet been used to simulate superconducting levitation. The goal of this work is to present solutions for the challenges concerning the use of the H-formulation to predict the behavior of superconducting levitators built either with YBCO bulks or stacks of 2G wires. It is worth mentioning the originality of replacing bulks with HTS stacks in this application. In our simulation methodology, the movement between the HTS and the permanent magnet was avoided by restricting the simulation domain to the HTS itself, which can be done by applying appropriate boundary conditions and analytical expressions for the source field. Commercial finite element software was used for the sake of ease of implementation. Simulation results were compared with experimental data, showing good agreement. We conclude that the H-formulation is suitable for problems involving moving objects and is a good alternative to other approaches for simulating superconducting magnetic bearings.

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Section: Magnetic Bearing Modelingmentioning

confidence: 99%

H-formulation for simulating levitation forces acting on HTS bulks and stacks of 2G coated conductors

Sass¹,

Sotelo²,

Andrade³

et al. 2015

Supercond. Sci. Technol.

124

View full text Add to dashboard Cite

show abstract

“…Various formulations are suitable for modeling transient behaviour of superconducting tapes [15]. For this work, the H-formulation of the magnetic fields was implemented in COMSOL [16] using zeroth-order edge elements [13].…”

Section: Methodsmentioning

confidence: 99%

Modeling and comparison of superconducting linear actuators for highly dynamic motion

Bruyn¹,

Jansen²,

Lomonova³

2015

Archives of Electrical Engineering

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This paper presents a numerical modeling method for AC losses in highly dynamic linear actuators with high temperature superconducting (HTS) tapes. The AC losses and generated force of two actuators, with different placement of the cryostats, are compared. In these actuators, the main loss component in the superconducting tapes are hysteresis losses, which result from both the non-sinusoidal phase currents and move ment of the permanent magnets. The modeling method, based on the H-formulation of the magnetic fields, takes into account permanent magnetization and movement of per manent magnets. Calculated losses as function of the peak phase current of both super conducting actuators are compared to those of an equivalent non-cryogenic actuator.

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“…More recently, Lahtinen et al [33] compared three self-programmed 2-D electromagnetic formulations (H, T − φ and, A − V − J) that they programmed themselves in a common computational environment. Their analysis focused on many aspects of the problem, and different methods performed differently depending on the context.…”

Section: Is There Any Optimal Choice For Modelling Hts Devices?mentioning

confidence: 99%

Potential and limits of numerical modelling for supporting the development of HTS devices

Sirois¹,

Grilli²

2015

Supercond. Sci. Technol.

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In this paper, we present a general review of the status of numerical modelling applied to the design of high temperature superconductor (HTS) devices. The importance of this tool is emphasized at the beginning of the paper, followed by formal definitions of the notions of models, numerical methods and numerical models. The state-of-the-art models are listed, and the main limitations of existing numerical models are reported. Those limitations are shown to concern two aspects: one the one hand, the numerical performance (i.e. speed) of the methods themselves is not good enough yet; on the other hand, the availability of model file templates, material data and benchmark problems is clearly insufficient. Paths for improving those elements are provided in the paper. Besides the technical aspects of the research to be further pursued, for instance in adaptive numerical methods, most recommendations command for an increased collective effort for sharing files, data, codes and their documentation.

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Comparison of three eddy current formulations for superconductor hysteresis loss modelling

Cited by 50 publications

References 25 publications

H-formulation for simulating levitation forces acting on HTS bulks and stacks of 2G coated conductors

H-formulation for simulating levitation forces acting on HTS bulks and stacks of 2G coated conductors

Modeling and comparison of superconducting linear actuators for highly dynamic motion

Potential and limits of numerical modelling for supporting the development of HTS devices

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