Proper Generalized Decomposition Method Applied to Solve 3-D Magnetoquasi-Static Field Problems Coupling With External Electric Circuits
Proper Generalized Decomposition Method Applied to Solve 3-D Magnetoquasi-Static Field Problems Coupling With External Electric Circuits
复制标题
应用适当的广义分解方法解决与外部电路耦合的3维磁准静态场问题
DOI：
10.1109/tmag.2014.2383998
复制
发表时间：
2015
影响因子：
2.1
通讯作者：
S. Clénet
中科院分区：
文献类型：
--
作者：
T. Henneron;S. Clénet
在数值计算领域中，固有广义分解（PGD）是一种用可分离函数的截断和来逼近解的方法，它在力学中的应用越来越广泛，并且在计算时间和内存需求方面显示出了它的有效性。我们建议评估的PGD方法来解决三维（3-D）的准静态场与外部电路耦合的问题。数值模型，从PGD制定，用于研究3-D的例子。结果进行了比较，当解决完整的原始问题。本文表明，计算时间速率与时间步长的数量是非常小的相比，在一个经典的时间步长的方法，可以非常有效地解决问题时，需要小的时间步长。
In the domain of numerical computation, proper generalized decomposition (PGD), which consist in approximating the solution by a truncated sum of separable functions, is applied more and more in mechanics, and has shown its efficiency in terms of computation time and memory requirements. We propose to evaluate the PGD method to solve three-dimensional (3-D) quasi-static field problems coupling with an external electric circuit. The numerical model, obtained from the PGD formulation, is used to study the 3-D examples. The results are compared with those obtained when solving the full original problem. It is shown in this paper that the computation time rate versus the number of time steps is very small compared with the one in a classical time-stepping method, and can be very efficient to solve problems when small time steps are required.