Domain decomposition with subdomain pre-processing for finite element modelling of transformers with stranded conductors

Ismet Tuna Gürbüz; Antti Lehikoinen; Ugur Aydin; Paavo Rasilo; Eelis Takala; Anouar Belahcen

doi:10.1063/1.5130076

Domain decomposition with subdomain pre-processing for finite element modelling of transformers with stranded conductors

Ismet Tuna Gürbüz, Antti Lehikoinen, Ugur Aydin, Paavo Rasilo, Eelis Takala, Anouar Belahcen

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Abstract

Finite element analysis of transformers with stranded conductors can be computationally heavy due to the fine mesh required for winding domains. In this paper, a domain decomposition method with subdomain pre-processing is proposed to overcome with this problem. In order to solve the field-circuit problem with finite element analysis, the winding domain is modelled initially. Next, the reduced matrix system is obtained from the winding domain formulation. The solution of the entire problem is obtained by solving the winding domain formulation and the reduced matrix system separately. The method is tested on a transformer model in no load operation. Accurate solutions are obtained in both frequency and time domains 7-9 times faster than when using brute-force method.

Original language	English
Article number	015133
Number of pages	7
Journal	AIP Advances
Volume	10
Issue number	1
DOIs	https://doi.org/10.1063/1.5130076
Publication status	Published - 16 Jan 2020
MoE publication type	A1 Journal article-refereed
Event	Annual Conference on Magnetism and Magnetic Materials - Las Vegas, United States Duration: 4 Nov 2019 → 8 Nov 2019 Conference number: 64

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AU - Gürbüz, Ismet Tuna

AU - Lehikoinen, Antti

AU - Aydin, Ugur

AU - Rasilo, Paavo

AU - Takala, Eelis

AU - Belahcen, Anouar

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N2 - Finite element analysis of transformers with stranded conductors can be computationally heavy due to the fine mesh required for winding domains. In this paper, a domain decomposition method with subdomain pre-processing is proposed to overcome with this problem. In order to solve the field-circuit problem with finite element analysis, the winding domain is modelled initially. Next, the reduced matrix system is obtained from the winding domain formulation. The solution of the entire problem is obtained by solving the winding domain formulation and the reduced matrix system separately. The method is tested on a transformer model in no load operation. Accurate solutions are obtained in both frequency and time domains 7-9 times faster than when using brute-force method.

AB - Finite element analysis of transformers with stranded conductors can be computationally heavy due to the fine mesh required for winding domains. In this paper, a domain decomposition method with subdomain pre-processing is proposed to overcome with this problem. In order to solve the field-circuit problem with finite element analysis, the winding domain is modelled initially. Next, the reduced matrix system is obtained from the winding domain formulation. The solution of the entire problem is obtained by solving the winding domain formulation and the reduced matrix system separately. The method is tested on a transformer model in no load operation. Accurate solutions are obtained in both frequency and time domains 7-9 times faster than when using brute-force method.

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Domain decomposition with subdomain pre-processing for finite element modelling of transformers with stranded conductors

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