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Abstract
This paper presents a parallel finite element toolbox for computing large electromagnetic devices on unstructured tetrahedral meshes, FEMAG—Fem for ElectroMagnetics on Adaptive Grids. The finite element toolbox deals with unstructured tetrahedral meshes and can solve electromagnetic eddy current problems in both frequency domain and time domain. It adopts high-order edge element methods and refines the mesh adaptively based on reliable and efficient finite element a posteriori error estimates. We demonstrate the competitive performance of FEMAG by extensive numerical experiments, including TEAM (Testing Electromagnetic Analysis Methods) Problem 21 and the simulation for a single-phase power transformer.
Highlights
Large devices in electric engineering usually have very complicated structures and are made of anisotropic and nonlinear materials
The purpose of this paper is to propose a parallel finite element toolbox, FEMAG (Fem for ElectroMagnetics on Adaptive Grids), and to demonstrate the competitive performance of our finite element algorithms and the FEMAG
We present a numerical experiment on hp-adaptive finite element method for time-harmonic eddy current problem
Summary
Large devices in electric engineering usually have very complicated structures and are made of anisotropic and nonlinear materials. Grain-oriented steel laminations are widely used in iron cores and magnetic shields of large power transformers (see Figure 1 for a TEAM benchmark model) [2]. They are very anisotropic and have multiple scales. We present a numerical experiment on hp-adaptive finite element method for time-harmonic eddy current problem. The second numerical experiment is performed on TEAM Problem 21b-MN which has a magnetic plate and a nonmagnetic plate It shows that, on 12288 CPU cores, FEMAG has very good scalability for nonlinear eddy current problems. The relative error of the iron loss is less than 10%
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