Stability Criterion for Interfacing a Transient Stability Model to a Dynamic Phasor Model

This paper presents a necessary stability criterion for interfacing a transient stability model to a dynamic phasor model. A voltage behind reactance type synchronous machine model, which is used in transient stability studies, is taken as the example case and it is interfaced with a dynamic phasor simulation as an external network. Dynamic phasors can be used in electromechanical-type simulations to extend the bandwidth of the simulation. In this paper a steady state stability analysis is done on the interface between the two models to determine whether the externally connected network is stable as a current injection device or a voltage injection device. The stability criterion is demonstrated using a dynamic simulation of a single machine connected to an infinite bus system.