The failure of electrical equipment directly or indirectly caused by overheating has become one of the main reasons for equipment accidents. The real-time condition monitoring method of electrical equipment based on digital twin (DT) has received extensive attention and is considered as a technology with great engineering values and excellent application prospects. However, the current calculation of DT mostly relies on the traditional finite element method (CFEM). This method becomes less computationally efficient as the size of the DT increases, especially for electrical equipment with high complexity. It is difficult to meet the requirements real-time calculation in DT. Therefore, starting from the algorithm optimization and parallel architecture, based on the weighted residual method and stabilised conforming nodal integration, a novel discrete method of electrothermal coupling equation is proposed and the data storage structure of the algorithm from the bottom layer is redesigned, and the corresponding GPU and multi-core CPU parallel framework are proposed. Finally, taking the high voltage bushing as an example, the correctness of the method in this paper is verified by the CFEM code and commercial software ABAQUS. Under the same grid and accuracy requirement, the calculation time is shortened by at least five times than ABAQUS. And the method is easy to extend to other types of multi-physics calculations.

中文翻译：

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支持电气设备数字孪生建设的快速电热耦合计算方法

电气设备过热直接或间接引起的故障已成为设备事故的主要原因之一。基于数字孪生（Digital Twin，DT）的电气设备实时状态监测方法受到广泛关注，被认为是一项具有巨大工程价值和良好应用前景的技术。然而，目前对DT的计算大多依赖于传统的有限元法（CFEM）。随着 DT 大小的增加，这种方法的计算效率会降低，特别是对于复杂度高的电气设备。在DT中很难满足实时计算的要求。因此，从算法优化和并行架构出发，基于加权残差法和稳定一致的节点积分，提出了一种新的电热耦合方程的离散方法，从底层重新设计了算法的数据存储结构，并提出了相应的GPU和多核CPU并行框架。最后以高压套管为例，通过CFEM代码和商业软件ABAQUS验证了本文方法的正确性。在相同网格和精度要求下，计算时间比ABAQUS至少缩短5倍。并且该方法易于扩展到其他类型的多物理场计算。以高压套管为例，通过CFEM代码和商业软件ABAQUS验证了本文方法的正确性。在相同网格和精度要求下，计算时间比ABAQUS至少缩短5倍。并且该方法易于扩展到其他类型的多物理场计算。以高压套管为例，通过CFEM代码和商业软件ABAQUS验证了本文方法的正确性。在相同网格和精度要求下，计算时间比ABAQUS至少缩短5倍。并且该方法易于扩展到其他类型的多物理场计算。