Negative and Complex Reluctance in Injective Profile Section

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.