Complex-root-locus-based analysis of high-frequency resonance in weak grid-connected DFIG wind turbines
摘要
With the expansion of clean energy, wind penetration into power networks is also increasing. Accordingly, the occurrence of high-frequency resonance (HFR) when connecting doubly fed induction generator (DFIG)-based wind farms to parallel compensated weak grids requires further attention. This type of resonance causes non-transient oscillations and occasionally leads to instability of the entire system. Root locus diagrams are fundamental tools commonly used to analyze such phenomena. However, since DFIG controllers are usually implemented in the synchronous reference frame (dq-frame) and the electrical circuits are represented in the stationary reference frame (abc frame), all system equations must be unified into a single reference frame for analysis. This process introduces a complex transfer function, complicating the system analysis and rendering conventional root locus methods impractical. To address this, this study introduces the concept of a complex root locus diagram to examine the pole locations associated with the HFR mode. Based on the poles location, the system’s dynamic behavior is predicted. Comprehensive time-domain simulations are undertaken to validate the utilization of the proposed method for analyzing systems stability, specifically in the context of the proposed HFR methodology.