Dynamic equations of unbalanced three-phase inverters considering magnetic couples

Based on the instantaneous symmetric components transformation, this paper derived the dynamic equations of three-phase inverters with magnetic couples caused by three-pole reactors and three-pole transformers. The equations are in term by the instantaneous symmetric components, and take into account of the magnetic couples in three-phase inverters, which are simple to be solved and realize decouples of magnetic couples between three phase equations. The equations show that the magnetic couples have influences on inverters in unbalance condition, which should be considered in designation.