Analysis of Middle Frequency Resonance in DFIG System Considering Phase-Locked Loop

As the wind power technology develops, the doubly fed induction generator (DFIG) based wind power system, when connected to a weak network with large impedance, may suffer resonances, i.e., subsynchronous resonance or high-frequency resonance when connected to the series- or parallel- weak network. Besides these two resonances, a middle frequency resonance (MFR) between 200 and 800 Hz may appear when the phase-locked loop (PLL) with fast control dynamics is applied. In order to analyze the MFR, the DFIG system impedance considering the PLL is studied based on the vector-oriented control strategy in rotor-side converter and grid-side converter. On the basis of the established impedance modeling of the DFIG system, it is found that the PLL with fast control dynamics may result in the occurrence of MFR due to a decreasing phase margin. The simulation results of both a 7.5 kW small-scale DFIG system and a 2 MW large-scale DFIG system are provided to validate the theoretical analysis of the MFR.