【摘要】 正确地模拟变压器铁磁材料的动态磁化过程,掌握变压器铁磁材料的动态磁化规律,是提高变压器暂态仿真准确性的关键。作者首次运用分形理论中的基本观点,证明了铁磁材料的磁滞回环族是一种分形图形,从本质上揭示了铁磁材料动态磁化过程中所遵循的规律,从机理上探讨了变压器主、次磁滞回环之间的关系。在此基础上,应用分形学中迭代函数系统的基本理论,对铁磁材料的次磁滞回环拟合提出了一种“变压缩因子”方法,通过对主磁滞回环进行线性迭代压缩计算来生成次磁滞回环。仿真结果验证了这种方法的正确性。更多还原

【Abstract】 Accurately simulating the dynamic magnetizing processes of the ferromagnetic materials used in transformers and mastering the dynamic magnetizing law of the materials are the key factors to improve the transient simulation accuracy of transformers. Applying the basic viewpoint in fractal theory, it is proved that the hysteresis loop family of ferromagnetic materials is a kind of fractal figure, the law which is obeyed in the dynamic magnetizing processes of ferromagnetic materials is revealed in essence. The relation between the major and minor hysteresis loops of transformer is researched. Based on the basic theory of iteration function system in fractal theory, a new method of variable compressed factor is put forward, in which the linear variable compression factor is used in the iteration calculation of the major hysteresis loop, for the fitting of minor hysteresis loop of ferromagnetic materials. The correctness of the presented method is verified by the simulation results.更多还原