Ripple field losses in direct current biased superconductors: Simulations and comparison with measurements

Lahtinen, Valtteri; Pardo, Enric; Šouc, J; Solovyov, Mykola; Stenvall, Antti

doi:10.1063/1.4868898

Cited by 40 publications

(42 citation statements)

References 55 publications

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“…The hysteresis losses per cycle and the computation time as a function of frequency are shown figure B1 and B2, respectively. As a side note, the results in figure B1 show that the losses per cycle have a small frequency dependence, similar results have been reported in [46][47][48][49][50]. Figure B2 shows that the computation time required to simulate one sinusoidal cycle using the T-A full model is independent of the frequency, and remains around 300 s for all the frequency range.…”

Section: Appendix Bsupporting

confidence: 80%

Real-time simulation of large-scale HTS systems: multi-scale and homogeneous models using the T–A formulation

Berrospe-Juarez

Zermeño²,

Trillaud

et al. 2019

Supercond. Sci. Technol.

163

130

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The emergence of second-generation high temperature superconducting tapes has favored the development of large-scale superconductor systems. The mathematical models capable of estimating electromagnetic quantities in superconductors have evolved from simple analytical models to complex numerical models. The available analytical models are limited to the analysis of single wires or infinite arrays that, in general, do not represent actual devices in real applications. The numerical models based on finite element method using the H formulation of the Maxwell's equations are useful for the analysis of medium-size systems, but their application in large-scale systems is problematic due to the excessive computational cost in terms of memory and computation time. Then it is necessary to devise new strategies to make the computation more efficient. The homogenization and the multi-scale methods have successfully simplified the description of the systems allowing the study of large-scale systems. Also, efficient calculations have been recently achieved using the T-A formulation. In the present work, we propose a series of adaptations to the multi-scale and homogenization methods so that they can be efficiently used in conjunction with the T-A formulation to compute the distribution of current density and hysteresis losses in the superconducting layer of superconducting tapes. The computation time and the amount of memory are substantially reduced up to a point that it is possible to achieve real-time simulations of HTS large-scale systems under slow ramping cycles of practical importance on personal computers.

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Section: Appendix Bsupporting

confidence: 80%

Real-time simulation of large-scale HTS systems: multi-scale and homogeneous models using the T–A formulation

Berrospe-Juarez

Zermeño²,

Trillaud

et al. 2019

Supercond. Sci. Technol.

163

130

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“…In [47], two models of the magnetoquasistatic Maxwell's theory, the PL model and CSM were utilized to predict losses in a DC biased ReBCO tape in AC ripple fields. Furthermore, the predictions of the models were compared against experimental data.…”

Section: Literature Example: Ripple Field Losses In Direct Current (Dmentioning

confidence: 99%

Semantics of HTS AC Loss Modeling: Theories, Models, and Experiments

Lahtinen

Stenvall

2020

IEEE Trans. Appl. Supercond.

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Computer-assisted modelling is an essential approach to design new devices. It speeds up the process from the initial idea to an actual device and saves resources by reducing the number of built prototypes. This is also a significant practical motivator behind scientific research in contemporary high-temperature superconductor (HTS) AC loss modelling. However, in the scientific literature in this field, consistent practices about modelling terminology have not been established. Then, it is up to the reader to decide, what is the true intent and meaning of the authors. Consequently, the interpretation of such literature might be very much reader-dependent. Moreover, an inseparable part of the whole modelling process is the development of modelling approaches and numerical methods and comparing the predictions obtained via modelling to experimentally achieved results: It is commonplace to discuss the accuracy of modelling results or the validation of a model. In this paper, we discuss the terminology related to theories, models and experiments in the context of HTS AC loss modelling. We discuss the recursive nature of theories and models in this context, discuss the compatibility of discrete formulations of physics utilized in our field with the corresponding continuum descriptions, as well as with intuition, and interpret the perceived meaning of validation of a self-consistent model, shedding light on the relationships between theories, models and measurements. We present our view on understanding these relations in the familiar context of AC losses in HTS. As a result, we end this paper with four conjectures describing our views.

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“…For example, H [9], [10], T − Ω [11], A − V − j [12], and H − ϕ − Ψ [13] can be utilized. Such a model leads to frequency-dependent hysteresis losses, but can still adequately predict losses over an AC cycle around 50 Hz [14], [15]. However, so far this approach has not been utilized to study ramp losses in magnets.…”

Section: Introductionmentioning

confidence: 99%

Utilizing Triangular Mesh With MMEV to Study Hysteresis Losses of Round Superconductors Obeying Critical State Model

Ruuskanen

Stenvall

Lahtinen

2015

IEEE Trans. Appl. Supercond.

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Nature's minimum energy principle formulated in minimum magnetic energy variation (MMEV) and coupled with the Bean's critical state model (CSM) has resulted in feasible tools to model hysteresis losses in superconductors. These tools have been applied for single wires as well as for multi-turn coils in two-dimensional modelling domains. However, so far the discretization of the modelling domain has always relied on regular rectangular meshes. Therefore, the mesh representation of round filaments suffers from large discretization error if the mesh is not refined considerably more than triangular meshing would need. In this paper, we study the utilisation of triangular mesh in such a hysteresis loss modelling tool. We present the required extension to the already available knowledge that is needed to implement such a modelling tool. With our home-brewed tool, we study the convergence of the simulated transport current losses in the cross-section of a round wire represented with triangular and rectangular meshes of different types and of different densities. According to the results, triangular meshing is considerably more efficient than rectangular meshing for simulating transport current losses in the investigated situation.Index Terms-Critical state model, hysteresis losses, minimum magnetic energy variation, numerical modelling.

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Ripple field losses in direct current biased superconductors: Simulations and comparison with measurements

Cited by 40 publications

References 55 publications

Real-time simulation of large-scale HTS systems: multi-scale and homogeneous models using the T–A formulation

Real-time simulation of large-scale HTS systems: multi-scale and homogeneous models using the T–A formulation

Semantics of HTS AC Loss Modeling: Theories, Models, and Experiments

Utilizing Triangular Mesh With MMEV to Study Hysteresis Losses of Round Superconductors Obeying Critical State Model

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