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arXiv 2102.02507math.NAcs.CEcs.NA
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EMT-TS模拟的Aitken-Schwarz异质区域分解

Aitken-Schwarz heterogeneous Domain Decomposition for EMT-TS Simulation

Héléna Schourick, Damien Tromeur-Dervout, Laurent Chedot

摘要:

采用Schwarz非均匀区域分解方法(DDM)对RLC电路进行联合仿真,其中一部分区域采用电磁暂态(EMT)模型,另一部分采用动态相量(TS)模型。域划分不是基于在传输线上的切割,这会像通常那样在解的动态上引入物理延迟,而是仅基于连接性考虑。我们显示的收敛性能的同质DDM EMT-EMT和TS-TS和异构DDM TS-EMT,有和没有重叠,我们使用纯线性发散/收敛的方法,以加速它对搜索的解决方案与艾特肯的加速收敛技术。

英文摘要:

In this paper, a Schwarz heterogeneous domain decomposition method (DDM) is used to co-simulate an RLC electrical circuit where a part of the domain is modeled with Electro-Magnetic Transients (EMT) modeling and the other part with dynamic phasor (TS) modeling. Domain partitioning is not based on cutting at transmission lines which introduces a physical delay on the dynamics of the solution, as is usually done, but only on connectivity considerations. We show the convergence property of the homogeneous DDM EMT-EMT and TS-TS and of the heterogeneous DDM TS-EMT, with and without overlap and we use the pure linear divergence/convergence of the method to accelerate it toward the searched solution with the Aitken's acceleration of the convergence technique.

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