A Fourier Series-Based Steady-State Thermal Resistance Model for Power Module
Ma, Haohao, Yang, Yuan, Fan, Zeyang, Huang, Tao, Xiang, Wei, Wen, Yang, and Cobreces, Santiago (2024) A Fourier Series-Based Steady-State Thermal Resistance Model for Power Module. IEEE Journal of Emerging and Selected Topics in Power Electronics, 12 (4). pp. 3912-3924.
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Abstract
The finite-element method (FEM) is conventionally employed to evaluate the thermal performance of power modules (TPPM), but it demands substantial computational resources and time. This study introduces a novel approach for TPPM assessment through a Fourier series-based steady-state thermal resistance model (FSS-TRM), which offers enhanced computational efficiency and accuracy. The FSS-TRM integrates conduction and spreading resistance via a mathematical-physical method, explicitly focusing on redefining conduction resistance to optimize computational efficiency. The accuracy of the FSS-TRM is ensured by solving the heat conduction differential equation to obtain spreading resistance. To assess the reliability of the FSS-TRM, the model is tested across varying direct bonded copper (DBC) configurations and chip sizes. Experimental results reveal that the maximum error of the FSS-TRM compared with the conventional COMSOL approach is below 4%. In addition, the FSS-TRM's capability to predict TPPM is verified through testing a representative power module in a 34-mm package, demonstrating an error of only 0.9% compared with both COMSOL and experimental results. Notably, the computational efficiency of the FSS-TRM is significantly improved, exceling COMSOL by five orders of magnitude. Therefore, the proposed FSS-TRM provides an accurate and efficient alternative to FEM for TPPM estimation.
| Item ID: | 86884 |
|---|---|
| Item Type: | Article (Research - C1) |
| ISSN: | 2168-6785 |
| Keywords: | Fourier series, power module, steady-state thermal resistance, thermal performance, thermal resistance model |
| Copyright Information: | CCBY - IEEE is not the copyright holder of this material. Please follow the instructions via https://creativecommons.org/licenses/by/4.0/ to obtain full-text articles and stipulations in the API documentation. |
| Date Deposited: | 06 Nov 2025 00:23 |
| FoR Codes: | 40 ENGINEERING > 4009 Electronics, sensors and digital hardware > 400911 Power electronics @ 100% |
| SEO Codes: | 17 ENERGY > 1703 Energy storage, distribution and supply > 170399 Energy storage, distribution and supply not elsewhere classified @ 100% |
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