A Preliminary Exploration of the Coupling Algorithm of the POD-Galerkin Method and FVM in the Temperature Simulation for an IGBT Module

Xiang You Feng; Fan Bai; Hao Ding; Wen Quan Tao

doi:10.1007/978-3-031-66609-4_13

A Preliminary Exploration of the Coupling Algorithm of the POD-Galerkin Method and FVM in the Temperature Simulation for an IGBT Module

Xiang You Feng, Fan Bai, Hao Ding, Wen Quan Tao^*

^*Corresponding author for this work

Xi'an Jiaotong University

Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review

Abstract

The proper orthogonal decomposition-Galerkin method (PGM) is an effective reduced-order method, which can predict in-situ physical fields rapidly and accurately based on a series of ex-situ results. However, the PGM suffers from difficulties in the application to the complex flow with openings and turbulence. This study preliminarily explores the coupling algorithm of the PGM and the finite volume method (FVM) to avoid these difficulties. A temperature simulation for an insulated gate bipolar transistor (IGBT) module is selected as an example for exhibition. The PGM is adopted to calculate the temperature field of the chip and substrate while the FVM is adopted to calculate the temperature fields of the external heat transfer. Moreover, the PGM and FVM performed in different computational domains are coupled at the interface. Two coupling algorithms are analyzed: (1) D-D (Dirichlet-Dirichlet): the temperatures at the interface are selected as the transmission information. (2) D-N (Dirichlet-Neumann): the temperature and the heat flux at the interface are selected as the transmission information. Results suggest that both the above coupling methods can obtain a continuous temperature field within the maximum deviation of 0.0045 ^∘C compared with the results calculated by the FVM on the entire computational domain. The D-N coupling algorithm with additional source term method achieves the best convergence.

Original language	English
Title of host publication	Advances in Computational Heat and Mass Transfer - Proceedings of the 14th International Conference on Computational Heat and Mass Transfer ICCHMT 2023
Editors	Ali Cemal Benim, Rachid Bennacer, Abdulmajeed A. Mohamad, Paweł Ocłoń, Jan Taler, Sang-Ho Suh
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	137-147
Number of pages	11
ISBN (Print)	9783031666087
DOIs	https://doi.org/10.1007/978-3-031-66609-4_13
Publication status	Published - 2024
Externally published	Yes
Event	14th International Conference on Computational Heat and Mass Transfer, ICCHMT 2023 - Düsseldorf, Germany Duration: 4 Sept 2023 → 8 Sept 2023

Publication series

Name	Lecture Notes in Mechanical Engineering
ISSN (Print)	2195-4356
ISSN (Electronic)	2195-4364

Conference

Conference	14th International Conference on Computational Heat and Mass Transfer, ICCHMT 2023
Country/Territory	Germany
City	Düsseldorf
Period	4/09/23 → 8/09/23

Keywords

Coupling algorithm
FVM
IGBT
POD-Galerkin method

Access to Document

10.1007/978-3-031-66609-4_13

Cite this

Feng, X. Y., Bai, F., Ding, H., & Tao, W. Q. (2024). A Preliminary Exploration of the Coupling Algorithm of the POD-Galerkin Method and FVM in the Temperature Simulation for an IGBT Module. In A. C. Benim, R. Bennacer, A. A. Mohamad, P. Ocłoń, J. Taler, & S.-H. Suh (Eds.), Advances in Computational Heat and Mass Transfer - Proceedings of the 14th International Conference on Computational Heat and Mass Transfer ICCHMT 2023 (pp. 137-147). (Lecture Notes in Mechanical Engineering). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-66609-4_13

Feng, Xiang You ; Bai, Fan ; Ding, Hao et al. / A Preliminary Exploration of the Coupling Algorithm of the POD-Galerkin Method and FVM in the Temperature Simulation for an IGBT Module. Advances in Computational Heat and Mass Transfer - Proceedings of the 14th International Conference on Computational Heat and Mass Transfer ICCHMT 2023. editor / Ali Cemal Benim ; Rachid Bennacer ; Abdulmajeed A. Mohamad ; Paweł Ocłoń ; Jan Taler ; Sang-Ho Suh. Springer Science and Business Media Deutschland GmbH, 2024. pp. 137-147 (Lecture Notes in Mechanical Engineering).

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title = "A Preliminary Exploration of the Coupling Algorithm of the POD-Galerkin Method and FVM in the Temperature Simulation for an IGBT Module",

abstract = "The proper orthogonal decomposition-Galerkin method (PGM) is an effective reduced-order method, which can predict in-situ physical fields rapidly and accurately based on a series of ex-situ results. However, the PGM suffers from difficulties in the application to the complex flow with openings and turbulence. This study preliminarily explores the coupling algorithm of the PGM and the finite volume method (FVM) to avoid these difficulties. A temperature simulation for an insulated gate bipolar transistor (IGBT) module is selected as an example for exhibition. The PGM is adopted to calculate the temperature field of the chip and substrate while the FVM is adopted to calculate the temperature fields of the external heat transfer. Moreover, the PGM and FVM performed in different computational domains are coupled at the interface. Two coupling algorithms are analyzed: (1) D-D (Dirichlet-Dirichlet): the temperatures at the interface are selected as the transmission information. (2) D-N (Dirichlet-Neumann): the temperature and the heat flux at the interface are selected as the transmission information. Results suggest that both the above coupling methods can obtain a continuous temperature field within the maximum deviation of 0.0045 ∘C compared with the results calculated by the FVM on the entire computational domain. The D-N coupling algorithm with additional source term method achieves the best convergence.",

keywords = "Coupling algorithm, FVM, IGBT, POD-Galerkin method",

author = "Feng, {Xiang You} and Fan Bai and Hao Ding and Tao, {Wen Quan}",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.; 14th International Conference on Computational Heat and Mass Transfer, ICCHMT 2023 ; Conference date: 04-09-2023 Through 08-09-2023",

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Feng, XY, Bai, F, Ding, H & Tao, WQ 2024, A Preliminary Exploration of the Coupling Algorithm of the POD-Galerkin Method and FVM in the Temperature Simulation for an IGBT Module. in AC Benim, R Bennacer, AA Mohamad, P Ocłoń, J Taler & S-H Suh (eds), Advances in Computational Heat and Mass Transfer - Proceedings of the 14th International Conference on Computational Heat and Mass Transfer ICCHMT 2023. Lecture Notes in Mechanical Engineering, Springer Science and Business Media Deutschland GmbH, pp. 137-147, 14th International Conference on Computational Heat and Mass Transfer, ICCHMT 2023, Düsseldorf, Germany, 4/09/23. https://doi.org/10.1007/978-3-031-66609-4_13

A Preliminary Exploration of the Coupling Algorithm of the POD-Galerkin Method and FVM in the Temperature Simulation for an IGBT Module. / Feng, Xiang You; Bai, Fan; Ding, Hao et al.
Advances in Computational Heat and Mass Transfer - Proceedings of the 14th International Conference on Computational Heat and Mass Transfer ICCHMT 2023. ed. / Ali Cemal Benim; Rachid Bennacer; Abdulmajeed A. Mohamad; Paweł Ocłoń; Jan Taler; Sang-Ho Suh. Springer Science and Business Media Deutschland GmbH, 2024. p. 137-147 (Lecture Notes in Mechanical Engineering).

Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review

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T1 - A Preliminary Exploration of the Coupling Algorithm of the POD-Galerkin Method and FVM in the Temperature Simulation for an IGBT Module

AU - Feng, Xiang You

AU - Bai, Fan

AU - Ding, Hao

AU - Tao, Wen Quan

N1 - Publisher Copyright: © The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.

PY - 2024

Y1 - 2024

N2 - The proper orthogonal decomposition-Galerkin method (PGM) is an effective reduced-order method, which can predict in-situ physical fields rapidly and accurately based on a series of ex-situ results. However, the PGM suffers from difficulties in the application to the complex flow with openings and turbulence. This study preliminarily explores the coupling algorithm of the PGM and the finite volume method (FVM) to avoid these difficulties. A temperature simulation for an insulated gate bipolar transistor (IGBT) module is selected as an example for exhibition. The PGM is adopted to calculate the temperature field of the chip and substrate while the FVM is adopted to calculate the temperature fields of the external heat transfer. Moreover, the PGM and FVM performed in different computational domains are coupled at the interface. Two coupling algorithms are analyzed: (1) D-D (Dirichlet-Dirichlet): the temperatures at the interface are selected as the transmission information. (2) D-N (Dirichlet-Neumann): the temperature and the heat flux at the interface are selected as the transmission information. Results suggest that both the above coupling methods can obtain a continuous temperature field within the maximum deviation of 0.0045 ∘C compared with the results calculated by the FVM on the entire computational domain. The D-N coupling algorithm with additional source term method achieves the best convergence.

AB - The proper orthogonal decomposition-Galerkin method (PGM) is an effective reduced-order method, which can predict in-situ physical fields rapidly and accurately based on a series of ex-situ results. However, the PGM suffers from difficulties in the application to the complex flow with openings and turbulence. This study preliminarily explores the coupling algorithm of the PGM and the finite volume method (FVM) to avoid these difficulties. A temperature simulation for an insulated gate bipolar transistor (IGBT) module is selected as an example for exhibition. The PGM is adopted to calculate the temperature field of the chip and substrate while the FVM is adopted to calculate the temperature fields of the external heat transfer. Moreover, the PGM and FVM performed in different computational domains are coupled at the interface. Two coupling algorithms are analyzed: (1) D-D (Dirichlet-Dirichlet): the temperatures at the interface are selected as the transmission information. (2) D-N (Dirichlet-Neumann): the temperature and the heat flux at the interface are selected as the transmission information. Results suggest that both the above coupling methods can obtain a continuous temperature field within the maximum deviation of 0.0045 ∘C compared with the results calculated by the FVM on the entire computational domain. The D-N coupling algorithm with additional source term method achieves the best convergence.

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KW - IGBT

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Feng XY, Bai F, Ding H, Tao WQ. A Preliminary Exploration of the Coupling Algorithm of the POD-Galerkin Method and FVM in the Temperature Simulation for an IGBT Module. In Benim AC, Bennacer R, Mohamad AA, Ocłoń P, Taler J, Suh SH, editors, Advances in Computational Heat and Mass Transfer - Proceedings of the 14th International Conference on Computational Heat and Mass Transfer ICCHMT 2023. Springer Science and Business Media Deutschland GmbH. 2024. p. 137-147. (Lecture Notes in Mechanical Engineering). doi: 10.1007/978-3-031-66609-4_13