Affiliations: [a] Department of Electrical Engineering, Tsinghua University, Haidian, Beijing, China
Correspondence:
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Corresponding authors: Wei-Ying Yuan, Department of Electrical Engineering, Tsinghua University, Haidian District, 100084 Beijing, China. E-mail: [email protected], [email protected] and Jian-Sheng Yuan, Department of Electrical Engineering, Tsinghua University, Haidian District, 100084 Beijing, China. E-mail: [email protected]
Abstract: Previously, 36 TEAM benchmark problems have been established, used to verify the numerical calculation methods of electromagnetic fields. Among them, there is only one problem related to the magnetic field considering magnetic hysteresis, which is problem 32. The results of it are obtained by experimental measurement. In this paper, a same kind of benchmark problem is proposed, in which the field results are obtained by using analytical method. This benchmark problem can be used to verify both 2D and 3D numerical calculation methods. The analytical solving process of the problem is that H is obtained by using Ampere’s law, then B is calculated based on the hysteresis model of the material, so that the field distribution results are formed. The required hysteresis model could be any kind, such as Preisach model, J–A model, etc. As long as the same kind of model is used both in the benchmark problem and in the numerical method, the numerical method can be verified through the proposed benchmark problem. Considering the form of J–A hysteresis model required by the benchmark problem does not exist, which is the field separation-based forward dynamic J–A model, it is derived based on the forward static J–A model.
Keywords: Benchmark problem, field separation-based forward dynamic J–A model, magnetic hysteresis, numerical calculation method
