Derivation of phase-domain model of an induction generator in terms of instantaneous values

It is a common practice that the synchronous machines, induction machines and other rotating machines are modeled in dqO reference frame. However, the external network (transmission lines, etc) is mostly modeled in the phase-domain reference frame. Therefore, if a rotating machine can be modeled in phase-domain reference frame, we can construct the electric network model without reference frame transformation. In this paper, we derive the phase-domain model of an induction generator in terms of instantaneous values, and its validity is analyzed based on numerical simulations