In this paper, a novel massively space-time parallel finite element (FE) transformer model is proposed for power system electromagnetic transient simulations. The method utilizes the reduced magnetic vector potential (RMVP) formulation to solve the electromagnetic field in the transformer, and the 3-D tetrahedral edge element is applied to discretize the RMVP formulation. The discretized nonlinear system is solved by adaptive transmission line modeling (TLM) and matrix-free conjugate gradient iterator, which allows parallelism at the elemental-level and eliminates the need for Newton-Raphson (NR) iterations over the large-scale global matrix. The paper also integrates the parallel-in-time method with the finite element solver to further parallelize the model at space-time level, and the GPU implementation of the model realized a speedup of over 55 and high accuracy, compared with a commercial FE software.

中文翻译：

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具有自适应 TLM 和用于电磁瞬态分析的 Parareal 技术的时空并行 3-D 有限元变压器模型


本文提出了一种用于电力系统电磁暂态仿真的新型大规模时空并行有限元（FE）变压器模型。该方法利用简化磁矢量势（RMVP）公式来求解变压器中的电磁场，并应用3-D四面体边缘单元来离散化RMVP公式。离散非线性系统通过自适应传输线建模 (TLM) 和无矩阵共轭梯度迭代器求解，允许元素级并行，并且无需在大规模全局矩阵上进行牛顿-拉夫森 (NR) 迭代。论文还将时间并行方法与有限元求解器相结合，进一步将模型在时空层面上并行化，模型的GPU实现与商业有限元软件相比，实现了超过55的加速比和高精度。