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A Finite Element Simulation Tool for Predicting Hysteresis Losses in Superconductors Using an H-Oriented Formulation with Cohomology Basis Functions

Tutkimustuotosvertaisarvioitu

Standard

A Finite Element Simulation Tool for Predicting Hysteresis Losses in Superconductors Using an H-Oriented Formulation with Cohomology Basis Functions. / Lahtinen, Valtteri; Stenvall, Antti; Sirois, Frédéric; Pellikka, Matti.

julkaisussa: Journal of Superconductivity and Novel Magnetism, Vuosikerta 28, Nro 8, 22.04.2015, s. 2345-2354 .

Tutkimustuotosvertaisarvioitu

Harvard

Lahtinen, V, Stenvall, A, Sirois, F & Pellikka, M 2015, 'A Finite Element Simulation Tool for Predicting Hysteresis Losses in Superconductors Using an H-Oriented Formulation with Cohomology Basis Functions', Journal of Superconductivity and Novel Magnetism, Vuosikerta. 28, Nro 8, Sivut 2345-2354 . https://doi.org/10.1007/s10948-015-3074-x

APA

Lahtinen, V., Stenvall, A., Sirois, F., & Pellikka, M. (2015). A Finite Element Simulation Tool for Predicting Hysteresis Losses in Superconductors Using an H-Oriented Formulation with Cohomology Basis Functions. Journal of Superconductivity and Novel Magnetism, 28(8), 2345-2354 . https://doi.org/10.1007/s10948-015-3074-x

Vancouver

Lahtinen V, Stenvall A, Sirois F, Pellikka M. A Finite Element Simulation Tool for Predicting Hysteresis Losses in Superconductors Using an H-Oriented Formulation with Cohomology Basis Functions. Journal of Superconductivity and Novel Magnetism. 2015 huhti 22;28(8):2345-2354 . https://doi.org/10.1007/s10948-015-3074-x

Author

Lahtinen, Valtteri ; Stenvall, Antti ; Sirois, Frédéric ; Pellikka, Matti. / A Finite Element Simulation Tool for Predicting Hysteresis Losses in Superconductors Using an H-Oriented Formulation with Cohomology Basis Functions. Julkaisussa: Journal of Superconductivity and Novel Magnetism. 2015 ; Vuosikerta 28, Nro 8. Sivut 2345-2354 .

Bibtex - Lataa

@article{52fe0bdcabdb46089e425e5364561730,
title = "A Finite Element Simulation Tool for Predicting Hysteresis Losses in Superconductors Using an H-Oriented Formulation with Cohomology Basis Functions",
abstract = "Currently, modelling hysteresis losses in superconductors is most often based on the H-formulation of the eddy current model (ECM) solved using the finite element method (FEM). In the H-formulation, the problem is expressed using the magnetic field intensity H and discretized using edge elements in the whole domain. Even though this approach is well established, it uses unnecessary degrees of freedom (DOFs) and introduces modelling error such as currents flowing in air regions due to finite air resistivity. In this paper, we present a modelling tool utilizing another H-oriented formulation of the ECM, making use of cohomology of the air regions. We constrain the net currents through the conductors by fixing the DOFs related to the so-called cohomology basis functions. As air regions will be truly non-conducting, DOFs and running times of these nonlinear simulations are reduced significantly as compared to the classical H-formulation. This fact is demonstrated through numerical simulations.",
keywords = "Cohomology, Finite element method, Hysteresis losses, Superconductors",
author = "Valtteri Lahtinen and Antti Stenvall and Fr{\'e}d{\'e}ric Sirois and Matti Pellikka",
year = "2015",
month = "4",
day = "22",
doi = "10.1007/s10948-015-3074-x",
language = "English",
volume = "28",
pages = "2345--2354",
journal = "Journal of Superconductivity and Novel Magnetism",
issn = "1557-1939",
publisher = "Springer Verlag",
number = "8",

}

RIS (suitable for import to EndNote) - Lataa

TY - JOUR

T1 - A Finite Element Simulation Tool for Predicting Hysteresis Losses in Superconductors Using an H-Oriented Formulation with Cohomology Basis Functions

AU - Lahtinen, Valtteri

AU - Stenvall, Antti

AU - Sirois, Frédéric

AU - Pellikka, Matti

PY - 2015/4/22

Y1 - 2015/4/22

N2 - Currently, modelling hysteresis losses in superconductors is most often based on the H-formulation of the eddy current model (ECM) solved using the finite element method (FEM). In the H-formulation, the problem is expressed using the magnetic field intensity H and discretized using edge elements in the whole domain. Even though this approach is well established, it uses unnecessary degrees of freedom (DOFs) and introduces modelling error such as currents flowing in air regions due to finite air resistivity. In this paper, we present a modelling tool utilizing another H-oriented formulation of the ECM, making use of cohomology of the air regions. We constrain the net currents through the conductors by fixing the DOFs related to the so-called cohomology basis functions. As air regions will be truly non-conducting, DOFs and running times of these nonlinear simulations are reduced significantly as compared to the classical H-formulation. This fact is demonstrated through numerical simulations.

AB - Currently, modelling hysteresis losses in superconductors is most often based on the H-formulation of the eddy current model (ECM) solved using the finite element method (FEM). In the H-formulation, the problem is expressed using the magnetic field intensity H and discretized using edge elements in the whole domain. Even though this approach is well established, it uses unnecessary degrees of freedom (DOFs) and introduces modelling error such as currents flowing in air regions due to finite air resistivity. In this paper, we present a modelling tool utilizing another H-oriented formulation of the ECM, making use of cohomology of the air regions. We constrain the net currents through the conductors by fixing the DOFs related to the so-called cohomology basis functions. As air regions will be truly non-conducting, DOFs and running times of these nonlinear simulations are reduced significantly as compared to the classical H-formulation. This fact is demonstrated through numerical simulations.

KW - Cohomology

KW - Finite element method

KW - Hysteresis losses

KW - Superconductors

UR - http://www.scopus.com/inward/record.url?scp=84928155270&partnerID=8YFLogxK

U2 - 10.1007/s10948-015-3074-x

DO - 10.1007/s10948-015-3074-x

M3 - Article

VL - 28

SP - 2345

EP - 2354

JO - Journal of Superconductivity and Novel Magnetism

JF - Journal of Superconductivity and Novel Magnetism

SN - 1557-1939

IS - 8

ER -