LOD-Homogenization of Multiscale Eddy Current Problem in Time Domain

Xiaotao Ren, Antti Hannukainen, Anouar Belahcen*, Yves Perriard

*Tämän työn vastaava kirjoittaja

Tutkimustuotos: LehtiartikkeliArticleScientificvertaisarvioitu

Abstrakti

Devices fabricated from soft magnetic composites (SMCs) are gaining popularity in research and application. The multiscale characteristics require special attention. Solving the quasi-statics Maxwell's equations on such devices consumes huge time and memory if the granular scale of SMCs is resolved. We have proposed a localized orthogonal decomposition (LOD) homogenization strategy, which allows us to compute the problem on a middle scale while retrieving the material dimension. The LOD projector has a localization property so that it can be accurately approximated on a local patch. In this work, we explore the localization characteristic further to show that the projector can be reused at different time steps. The requirement for computational time and memory can be greatly reduced. A numerical example in two dimensions is provided to show the feasibility and advantage of this approach. This technique is applied to a domain of SMCs with randomly distributed polygon-shaped granules. Finally, error analysis is provided to show the validation of the LOD projector.

AlkuperäiskieliEnglanti
Artikkeli6302004
Sivumäärä4
JulkaisuIEEE Transactions on Magnetics
Vuosikerta57
Numero6
Varhainen verkossa julkaisun päivämäärähuhtikuuta 2021
DOI - pysyväislinkit
TilaJulkaistu - kesäkuuta 2021
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

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