Losses in magnetic circuits are closely related to reluctance. Dealing with coils, transformers, stator poles, rotors in motors, and electromagnets with iron slabs in electrical actuators may raise the question regarding the effect of the slope of section profiles on losses and performance. In this letter, with dc and ac sources, through injective section profiles, we obtain complex, negative, and quantified reluctances. The results suggest that the imaginary part of the reluctance can lead to reduced ferromagnetic materials losses. This means that imaginary reluctance is not always related to electrical conductivity and to power losses but also to the interaction of magnetic flux with the shape of the magnetic core. The imaginary reluctance can be used to increase active and reactive power and reduce magnetic losses. The negative reluctance was effective in reducing magnetic flux and magnetic flux density in a magnetic core.

中文翻译：

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注入剖面部分的负磁阻和复磁阻

磁路损耗与磁阻密切相关。处理线圈、变压器、定子磁极、电机中的转子以及电动执行器中带有铁板的电磁体，可能会提出截面轮廓斜率对损耗和性能的影响的问题。在这封信中，使用直流和交流源，通过注入截面轮廓，我们获得了复杂的、负的和量化的磁阻。结果表明，磁阻的虚部可导致铁磁材料损耗的减少。这意味着虚磁阻并不总是与电导率和功率损耗有关，还与磁通量与磁芯形状的相互作用有关。虚磁阻可用于增加有功和无功功率并减少磁损耗。