Transient response of three phase variable inductance realized by variable active-passive reactance (VAPAR)

Inductance has a particularly important role in power circuits. For example, the power flow is essentially restricted by a line inductance. The authors have proposed the variable active-passive reactance (VAPAR) which can produce a virtual variable inductance. They analyzed the transient power flow of a balanced three-phase variable inductance and obtained interesting results. In this paper, the transient power flow of a three-phase variable inductance connected to an external constant three-phase inductance is analyzed using instantaneous active and reactive power theorems. The analysis were performed not only about the case of a balanced three phase inductance but also about the case of unbalanced three-phase inductance. The transient power is analyzed theoretically, then the results as verified through simulations and some of them are verified through experiments.