Field computations by the complementary networks

The method of magnetic circuits has been proposed for evaluating the 3-D magnetodynamic fields in electromagnetic devices [1-3]. In this paper, we elucidate that our previous magnetic circuit method is one of the complementary network methods. Since the complementary network method is fundamentally based on the geometrical dual property associated with the element discretizations, it is found that this method is quite useful to give a circuit interpretation of field computations [4]. As an illustrative example, the dynamic fields in a toroidal reactor are computed by the complementary network method.