Instantaneous power of power circuit including three phase variable inductance

Inductance has a particularly important role in power circuits. For example, the power flow is essentially restricted by a line inductance. The author has proposed the variable active-passive reactance (VAPAR) which can produce a virtual variable inductance. The author analyzed the transient power flow of a balanced three phase variable inductance and obtained interesting results. In this paper, at first, the analysis of the instantaneous power of a power circuit including a three phase variable inductance is introduced using instantaneous active and reactive power theorem. Then, the power characteristics of three phase inductance with mutual variable inductance is analyzed. In this section, the concept of "anti-mutual inductance" of which mutual induced electromotive force appears in opposite direction to usual mutual inductance is proposed. The interesting characteristics of anti-mutual inductance is analyzed using instantaneous power theorem. The theoretical analyses are verified through simulations and some of them are verified through experiments