A Difference Subgridding Method for Solving Multiscale Electro-Thermal Problems

Authors

  • Xiaoyan Zhang School of Information Engineering, East China Jiaotong University, Nanchang 330013, China
  • Ruilong Chen School of Information Engineering, East China Jiaotong University, Nanchang 330013, China
  • Aiyun Zhan School of Information Engineering, East China Jiaotong University, Nanchang 330013, China

DOI:

https://doi.org/10.13052/2022.ACES.J.370204

Keywords:

Electro-thermal problems, finite-difference method (FDM), multiscale, subgridding method

Abstract

Because of less memory costs and time consumption, a finite difference subgrid technique can effectively deal with multiscale problems in electromagnetic fields. When used in Maxwell equation, symmetric elements of the matrix are required; otherwise, the algorithm will be unstable. Usually, the electro-thermal problem also contains multiscale structures. However, the coefficient matrix of the heat transfer equation is asymmetric because the parameters of the equation vary with temperature and the Robbin boundary condition is used as well. In this paper, a three-dimensional (3D) finite difference subgridding method is proposed to simulate the electro-thermal coupling process of the multiscale circuits. The stability condition of the algorithm is deduced with a matrix method. And the efficiency and the effectiveness of the proposed subgridding approach are verified through square- and n-shaped resistances. Compared with the results of the COMSOL software and the traditional finite difference method (FDM), the proposed subgridding method has less unknowns and faster speed.

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Author Biographies

Xiaoyan Zhang, School of Information Engineering, East China Jiaotong University, Nanchang 330013, China

Xianyan Zhang received the B.S. degree in applied physics and the M.S. degree in physical electronics from Yunnan University, Kunming, China, in 2001 and 2004, respectively, and the Ph.D. degree in electromagnetic field and microwave technology from the Institute of Electronics, Chinese Academy of Sciences, Beijing, China, in 2007.

Her research interests include electromagnetic computation, antenna design and wireless power transmission structure design.

Ruilong Chen, School of Information Engineering, East China Jiaotong University, Nanchang 330013, China

Ruilong Chen was born in Hengyang, Hunan, China, in 1996. He received the B.S. degree in communication engineering from Beijing Union University, Beijing, China, in 2018, and the M.S. degree in communication engineering from East China Jiaotong University, Nanchang, China, in 2021.

He is currently working with Wuxi Leihua Science and Technology Co., Ltd. His research interests focus on electromagnetic computation and radar signal processing.

Aiyun Zhan, School of Information Engineering, East China Jiaotong University, Nanchang 330013, China

Aiyun Zhan was born in Nantong, Jiangsu, China, in 1973. She received the B.S. degree from Southwest Jiaotong University, Chengdu, China, in 1997, and he M.S. degree from East China Jiaotong University, Nanchang, China, in 2008. She is currently working with the School of Information Engineering, East China Jiaotong University. Her research interests focus on channel coding and optical communication.

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Published

2022-02-28

How to Cite

[1]
X. . Zhang, R. . Chen, and A. . Zhan, “A Difference Subgridding Method for Solving Multiscale Electro-Thermal Problems”, ACES Journal, vol. 37, no. 02, pp. 168–175, Feb. 2022.

Issue

2022: Vol 37 Iss 2

Section

General Submission