Model Order Reduction Techniques applied to Magnetodynamic Scalar Potential Formulation
Model Order Reduction Techniques applied to Magnetodynamic Scalar Potential Formulation
复制标题
应用于磁动力标量势公式的模型降阶技术
DOI：
--
复制
发表时间：
2019
期刊：
影响因子：
--
通讯作者：
K. Hameyer
中科院分区：
文献类型：
--
作者：
F. Müller;Lucas Crampen;T. Henneron;S. Clénet;K. Hameyer
从大型方程组中提取重要信息的数值技术是研究的重点，以科普计算工作。本文讨论了模型降阶技术应用于磁标量位公式耦合到电矢量位，称为T-$欧米茄$制定的可行性。与磁矢势公式相比，该公式使用磁场分解为标量势和回路场，以避免显式切割，这是不违反安培定律所必需的。分析了不同的技术，即本征正交分解（POD）和本征一般分解（PGD），适用于三维涡流问题。所提出的方法最后评估的收敛性和计算工作量。
Numerical techniques to extract important information from large systems of equations are in focus of research to cope with the computational effort. This paper discusses the feasibility of model order reduction techniques applied to magnetic scalar potential formulation coupled to the electric vector potential, known as T-$Omega$ formulation. This formulation, compared to the magnetic vector potential formulation, uses a decomposition of the magnetic field into a scalar potential and loop fields to avoid explicit cuts, necessary to not violate Amperés law. The analysis of different techniques, namely the Proper Orthogonal Decomposition (POD) and Proper General Decomposition (PGD), applied to a three dimensional eddy current problem are performed. The presented approach is finally evaluated in terms of convergence and computational effort.