Structured neural ODE for nonlinear thermal reduced order models of power converters

Accurate thermal modeling is essential for the reliable design and operation of Power Electronic (PE) systems, particularly as nonlinear material properties significantly influence thermal dynamics. In this work, we propose a novel model reduction strategy based on structured Neural Ordinary Differential Equations (Neural ODEs) for the nonlinear thermal behavior of power inverters. Our method leverages a physically-informed architecture that approximates the nonlinear components of the system. The approach is validated on a nonlinear FEM model of a SiC-based inverter. Results demonstrate that the proposed Neural ODE-based Reduced Order Model (ROM) achieves higher accuracy than Proper Orthogonal Decomposition (POD)-Discrete Empirical Interpolation Method (DEIM), with significantly reduced computational cost, achieving up to 100 × speed-up compared to implicit DEIM. Moreover, the resulting model can be seamlessly integrated into system-level simulation platforms, enabling efficient thermal management studies and control design. The proposed Neural ODE-based ROM can be efficiently implemented on modern microcontrollers, with measured inference times on the TC387 of 330 µs per time step and minimal memory requirements, demonstrating its potential for real-time embedded thermal management applications.

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Publication Details

Journal
Thermal Science and Engineering Progress
Published
2026-07-28
DOI
https://doi.org/10.1016/j.tsep.2026.104858
Primary Topic
Model Reduction and Neural Networks
Type
article
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article

Structured neural ODE for nonlinear thermal reduced order models of power converters

Riccardo Torchio, Francesco Pase, Francesco Toso, Riccardo Basei
Thermal Science and Engineering Progress
Model Reduction and Neural Networks
article

Structured neural ODE for nonlinear thermal reduced order models of power converters

Riccardo Torchio, Francesco Pase, Francesco Toso, Riccardo Basei
article en

Abstract

Accurate thermal modeling is essential for the reliable design and operation of Power Electronic (PE) systems, particularly as nonlinear material properties significantly influence thermal dynamics. In this work, we propose a novel model reduction strategy based on structured Neural Ordinary Differential Equations (Neural ODEs) for the nonlinear thermal behavior of power inverters. Our method leverages a physically-informed architecture that approximates the nonlinear components of the system. The approach is validated on a nonlinear FEM model of a SiC-based inverter. Results demonstrate that the proposed Neural ODE-based Reduced Order Model (ROM) achieves higher accuracy than Proper Orthogonal Decomposition (POD)-Discrete Empirical Interpolation Method (DEIM), with significantly reduced computational cost, achieving up to 100 × speed-up compared to implicit DEIM. Moreover, the resulting model can be seamlessly integrated into system-level simulation platforms, enabling efficient thermal management studies and control design. The proposed Neural ODE-based ROM can be efficiently implemented on modern microcontrollers, with measured inference times on the TC387 of 330 µs per time step and minimal memory requirements, demonstrating its potential for real-time embedded thermal management applications.

Thermal Science and Engineering ProgressVol. 77
University of Padua (IT), Foundation for Cardiovascular Biomedical Research and Gene and Cell Therapy (IT)
Openalex Percentile: Top 97%
Model Reduction and Neural Networks
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