Modeling of Three-Dimensional Vector Magnetic Property of Laminated Iron-Core Using Homogenization Theory

(1)研制了用感应电机定子测量硅钢片旋转单片测试仪的矢量特性。提出了一种带缝隙的圆形试件，实现了均匀的磁通密度分布。对标量滞回模型和矢量滞回模型进行了推广，提高了标量止退模型对硅钢片滞回特性的描述能力。推导了广义模型的表示定理，发展了辨识方法。研究了两种类型的矢量停打模型：一种是标量模型的几何扩展，另一种是标量模型的叠加。给出了后一类停放模型的识别方法。导出了它们的旋转磁滞损耗。基于均化方法的交流磁滞模型建立了一种基于PRY和Bean模型的均化模型来描述涡流损耗过大的硅钢片的交流磁滞特性。该模型提高了涡流损耗的估算精度，提高了正弦磁通条件下交流BH回路的表达能力。(4)微磁计算技术的发展通过微观模拟来描述铁磁材料的微观磁畴行为与宏观复磁性质之间的关系。开发了并行微磁模拟程序，用于求解PC集群和网格计算中的LLG方程。为了建立磁畴行为的介观模型，提出了一种改进的磁畴结构模型，并与微磁模拟进行了比较。

(1)Measurement of vector property of silicon steel sheetA rotational single sheet tester using a stator of an induction motor is developed. A circular specimen with slits is proposed, which achieves a uniform flux density distribution. Two-dimensional magnetic properties under rotating and alternating flux conditions are measured.(2)Study of scalar and vector hysteretic modelsScalar stop and play models are generalized to improve their representation capability for hysteretic property of silicon steel sheets. Representation theorems of the generalized models are derived and identification methods are developed. Two types of vector stop and play models are examined : one is a geometrical extension of scalar model and the other is a superposition of scalar models. Identification methods for the latter type of stop and play models are developed. Their rotational hysteresis losses are derived. These vector models are generalized to improve their rotational hysteretic properties.(3)AC hysteresis model using homogenization methodA homogenized model based on the Pry and Bean model is developed to represent the AC hysteretic properties of silicon steel sheets exhibiting excess eddy-current loss. The developed model improves the evaluation accuracy of eddy-current loss and the representation of AC BH loops under the sinusoidal magnetic-flux condition. The developed model also accurately represents AC BH loops having minor loops.(4)Development of micromagnetic computation techniquesMicromagnetic simulations are carried out to describe relations between microscopic magnetic-domain behavior and macroscopic complex magnetic properties of ferromagnetic materials. Parallel micromagnetic simulation codes solving the LLG equations for PC cluster and grid computing are developed. To develop a mesoscopic model for magnetic-domain behavior, an improved domain structure model is developed and compared with micromagnetic simulations.