Vector Magnetic Properties Oriented to Magnetic Field Analysis

磁场的数值模拟需要适当的材料建模和控制方程的鲁棒离散化方法。只有鲁棒离散化不足以获得更高的精度和改进设计策略。近年来，材料建模受到工程领域的广泛关注。本课题对作为电机主磁路材料的电工钢板的磁各向异性（矢量磁特性）进行了研究。研究了双激励型单片试验机的标准测量方法，建立了基于有限元公式的各向异性建模方法。然后将其应用于典型电机的分析中进行验证。讨论的内容如下。(1)测量系统的构建，测量精度的检验和改进；(2)各种电工钢板矢量磁性能的测量；（…）更多(3)矢量磁性能的近似方法的建立，用数值模拟方法验证，以及稳定和加速；(4)三相变压器铁芯和内部永磁电机的应用。关于一种测量方法，可以测量不同各向异性程度的各种电钢板高达2 T的磁化性能，测量的重现性在±3%左右，与普通的一维测量相似。因此，所提出的测量方法似乎相当有用。在数值模拟方面，建立了一种利用正态磁化曲线模拟各向异性的方法。由于引入了线搜索技术，其非线性迭代分析的稳定性几乎等同于不考虑各向异性的普通计算。通过对典型电机的分析，验证了该方法的鲁棒性。少

Numerical simulation of magnetic fields requires a proper material modeling as well as a robust method of discretization of governing equations. Only a robust discretization is not enough to get higher accuracy and to improve design strategy. Recently, the material modeling receives large engineering attention. In this project, magnetic anisotropy (vector magnetic property) of electrical steel sheet, which is used as a material for principal magnetic path in electrical machine, is discussed. A standard method of measurement by means of a double-excitation type of single sheet tester is investigated and a modeling method for anisotropy is developed based on the finite element formulation. Then it is applied to the analysis of typical electrical machines for verification. The contents discussed are as follows.(1)Construction of a measuring system, and examination of measurement accuracy and its improvement,(2)Measurements of vector magnetic properties of various electrical steel sheets,( … More 3)Development of an approximation method of vector magnetic property, its verification by using numerical simulation method, and its stabilization and speedup,(4)Application to three-phase transformer core and interior permanent magnet motor.Regarding to a method of measurement, magnetization properties up to 2 T can be measured for various kinds of electrical steel sheets with different degree of anisotropy Reproducibility of the measurement is within about ±3%, which is similar to that for ordinary 1-D measurements. Therefore, the proposed method of measurement seems to be fairly useful.Regarding to numerical simulation, a method of modeling anisotropy using normal magnetization curves are established. Its stability for nonlinear iterative analysis is nearly equivalent to ordinary calculations without taking account of anisotropy because of the introduction of a line search technique. Robustness of the method is verified by applying it to the analysis of typical electrical machines using recently developed cube-textured electrical sheets. Less