Analytical Methods and Formulas for Modeling High Temperature Superconductors

Mikitik, G. P.; Mawatari, Yasunori; Wan, Andy T. S.; Sirois, Frédéric

doi:10.1109/tasc.2013.2245504

Cited by 55 publications

(54 citation statements)

References 82 publications

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“…Many analytical models have been developed in the past decades for calculating the AC losses in superconducting materials, e.g. Norris [15] and Brandt [16] analytical models, and a review of analytical models can be found [17]. Analytical models are useful for understanding the mechanism of the AC loss and efficient for computing the losses from some simple geometries of HTS.…”

Section: Introductionmentioning

confidence: 99%

Review of the AC loss computation for HTS using H formulation

Shen

Grilli

Coombs

2020

Supercond. Sci. Technol.

206

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This paper overviews the computation of the alternating current (AC) loss in high temperature superconductors (HTS) based on the finite-element method (FEM) using H-Formulation. A great amount of studies shows that the AC loss calculation results from H-Formulation agree well with the experiment results. As one of the most reliable numerical modeling methods, H-Formulation is able to calculate the AC loss from a wide range of HTS topologies. In this paper, we review these contributions on the AC loss calculation using H-Formulation, from small-scale HTS tapes and coils, HTS cables, to large-scale HTS applications.

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Section: Introductionmentioning

confidence: 99%

Review of the AC loss computation for HTS using H formulation

Shen

Grilli

Coombs

2020

Supercond. Sci. Technol.

206

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“…A large body of work has been dedicated to the estimation of losses in tapes and stacks. The first analyses relied on analytical expressions [17], [18], [19], [20] but soon proved to be too limited to specific problems and could be extended with difficuty to more practical general cases such as DC transport current under varying perpendicular magnetic field in stacks of multifilamentary tapes. This complex case is particularly relevant when one deals with windings of thousands of turns typically encountered in superconducting electrical machines.…”

Section: -Introductionmentioning

confidence: 99%

Estimation of hysteretic losses for MgB₂tapes under the operating conditions of a generator

Vargas-Llanos

Zermeño

Sanz

et al. 2016

Supercond. Sci. Technol.

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Hysteretic losses in MgB 2 wound superconducting coils of a 500 kW synchronous hybrid generator were estimated as part of the European project SUPRAPOWER led by the Spanish company Tecnalia Research and Innovation. Particular interest was given to the losses found in tapes in the superconducting rotor caused by the magnetic flux ripples originating from the conventional stator during nominal operation. To compute the losses, a 2D Finite Element Method was applied to solve the H-formulation of Maxwell's equations considering the nonlinear properties of both the superconducting material and its surrounding Ni matrix. To be able to model all the different turns composing the winding of the superconducting rotor coils, three geometrical models of single tape cross section of decreasing complexity were studied: 1) the first model reproduced closely the actual cross section obtained from micrographs, 2) the second model was obtained from the computed elastoplastic deformation of a round Ni wire, 3) the last model was based on a simplified elliptic cross section. The last geometry allowed validating the modeling technique by comparing numerical losses with results from well-established analytical expressions. Additionally, the following cases of filament transpositions were studied: no, partial and full transposition. Finally, choosing the right level of geometrical details to predict the expected behavior of individual superconducting tapes in the rotor, the following operational regimes were studied: Bias-DC current, ramping current under ramping background field, and magnetic flux ripples under DC background current and field.

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“…Moreover, it is unknown how the higher harmonics of the phase currents and magnetic flux density applied to superconducting tapes affect the hysteresis losses. For the calculation of losses in superconduct ing tapes, and stacks of tapes, analytical [9] and numerical methods exist [10]. Numerical methods can include the dependency of the critical current density on the magnetic flux density, and the nonlinear magnetization of structures external to the superconducting tapes.…”

Section: Introductionmentioning

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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Analytical Methods and Formulas for Modeling High Temperature Superconductors

Cited by 55 publications

References 82 publications

Review of the AC loss computation for HTS using H formulation

Review of the AC loss computation for HTS using H formulation

Estimation of hysteretic losses for MgB₂tapes under the operating conditions of a generator

Modeling and comparison of superconducting linear actuators for highly dynamic motion

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Analytical Methods and Formulas for Modeling High Temperature Superconductors

Cited by 55 publications

References 82 publications

Review of the AC loss computation for HTS using H formulation

Review of the AC loss computation for HTS using H formulation

Estimation of hysteretic losses for MgB2tapes under the operating conditions of a generator

Modeling and comparison of superconducting linear actuators for highly dynamic motion

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Estimation of hysteretic losses for MgB₂tapes under the operating conditions of a generator