Corrigendum: A new benchmark problem for electromagnetic modelling of superconductors: the high-T_c superconducting dynamo (2020 Supercond. Sci. Technol. 33 105009)

TY - JOUR

T1 - Corrigendum: A new benchmark problem for electromagnetic modelling of superconductors: the high-Tc superconducting dynamo (2020 Supercond. Sci. Technol. 33 105009)

AU - Ainslie, Mark

AU - Grilli, Francesco

AU - Quéval, Loïc

AU - Pardo, Enric

AU - Perez-Mendez, Fernando

AU - Mataira, Ratu

AU - Morandi, Antonio

AU - Ghabeli, Asef

AU - Bumby, Chris

AU - Brambilla, Roberto

N1 - Funding Information: M A would like to acknowledge financial support from an Engineering and Physical Sciences Research Council (EPSRC) Early Career Fellowship EP/P020313/1. C B, R M and M A were supported in part by NZ Royal Society Marsden Grant No. MFP-VUW1806. F P would like to acknowledge the support of the Consejo Nacional de Ciencia y Tecno-logia and Secretaria de Energia de Mexico, Reference No. 541016/439167. Publisher Copyright: © 2021 IOP Publishing Ltd.

PY - 2021/1/11

Y1 - 2021/1/11

N2 - Since publication, we have realized that the results from the minimum electromagnetic entropy (MEMEP) method (see section 3.3 in the original paper [1]) used a different voltage definition, causing a slight discrepancy with the results obtained from the other methods in figures 3 and 4. Instead of Veq (t) = −LEave (t), as given by equation (5) in [1], we used −∆V(t) as defined by equation (22) in [2]: ∆V ≈ L· [∂tAav,J + Eave (J)] . Although both definitions result in the same DC voltage, the instantaneous signal differs, as shown in figure 1 in this corrigendum. Indeed, the used ∆V for the MEMEP method in [1] adds an extra contribution, ∂tAav,J, the vector potential due to the superconducting current. As a result, the new curve has much better qualitative and quantitative agreement with the waveforms calculated by the other methods shown in figure 3 of the original article [1]. In the original article [1], we also used the −∆V(t) definition above instead of Veq (t) to calculate the cumulative time-averaged equivalent voltage, defined from equation (6) in [1] as t Vcumul (t) = 1t Veq (t) dt. 0 The new results, using Veq (t) , present only small changes compared to the original calculations, as shown in figure 2 in this corrigendum. This curve also has very good qualitative and quantitative agreement with the waveforms calculated by the other methods, as shown in figure 4 in the original article [1]. The data related to the new calculations for this corrigendum are available at the University of Cambridge data repository (https://doi.org/10.17863/CAM.60437).

AB - Since publication, we have realized that the results from the minimum electromagnetic entropy (MEMEP) method (see section 3.3 in the original paper [1]) used a different voltage definition, causing a slight discrepancy with the results obtained from the other methods in figures 3 and 4. Instead of Veq (t) = −LEave (t), as given by equation (5) in [1], we used −∆V(t) as defined by equation (22) in [2]: ∆V ≈ L· [∂tAav,J + Eave (J)] . Although both definitions result in the same DC voltage, the instantaneous signal differs, as shown in figure 1 in this corrigendum. Indeed, the used ∆V for the MEMEP method in [1] adds an extra contribution, ∂tAav,J, the vector potential due to the superconducting current. As a result, the new curve has much better qualitative and quantitative agreement with the waveforms calculated by the other methods shown in figure 3 of the original article [1]. In the original article [1], we also used the −∆V(t) definition above instead of Veq (t) to calculate the cumulative time-averaged equivalent voltage, defined from equation (6) in [1] as t Vcumul (t) = 1t Veq (t) dt. 0 The new results, using Veq (t) , present only small changes compared to the original calculations, as shown in figure 2 in this corrigendum. This curve also has very good qualitative and quantitative agreement with the waveforms calculated by the other methods, as shown in figure 4 in the original article [1]. The data related to the new calculations for this corrigendum are available at the University of Cambridge data repository (https://doi.org/10.17863/CAM.60437).

UR - http://www.scopus.com/inward/record.url?scp=85100568917&partnerID=8YFLogxK

U2 - 10.1088/1361-6668/abd522

DO - 10.1088/1361-6668/abd522

M3 - Comment/debate

AN - SCOPUS:85100568917

SN - 0953-2048

VL - 34

JO - Superconductor Science and Technology

JF - Superconductor Science and Technology

IS - 2

M1 - 029502

ER -