Induction machine small-signal impedance for stability studies using dynamic phasor modeling

The presence of both electronic-converter-based and rotating-machine-based energy sources in microgrids poses a challenge for its stable operation. Most of the stability studies in microgrids have been focused on the electronic converters interfacing a renewable energy source to an AC microgrid. However, the rotating machines are still a key component of many microgrids. This paper presents an induction machine model that uses dynamic phasors as an alternative to d-q modeling. The goal of this work is to obtain the small-signal impedances of the machine, which could be further used in stability studies. The results show that the machine model successfully reflects the actual impedance of the machine obtained by simulations. The process by which the practical machine impedance is obtained is also detailed in this paper.