H∞ Current Damping Control of DFIG based Wind Farm for Sub-Synchronous Control Interaction Mitigation

Yun Wang, Qiuwei Wu*, Rong Yang, Guoqing Tao, Zhaoxi Liu

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review


This paper proposes an H∞ damping controller for the doubly-fed induction generator (DFIG)
based wind farm (WF) to mitigate sub-synchronous control interactions (SSCI) with series capacitor
compensated lines. A multi-input multi-output (MIMO) uncertain state-space model is developed to
reflect the main SSCI characteristics considering the uncertainties of wind speed, series
compensation (SC) levels and system parameters. The SSCI is analyzed using the eigenvalue
analysis of the uncertain system model. In order to damp the SSCI between the WF and series
capacitor compensated lines under uncertainties, an H∞ damping controller is designed for the rotor
side converter (RSC). The weighting functions are designed to meet the mitigation requirements of
sub-synchronous oscillation currents and output power. The robust stability (RS) and robust
performance (RP) of the system are validated by the µ analysis. The performance of the H ∞
damping controller is demonstrated by time domain simulations of a 90 MW wind farm model with
different wind speed, and SC levels. The case study with 6 m/s wind speed and 70% SC level shows
superior performance of the H∞ damping controller.
Original languageEnglish
JournalInternational Journal of Electrical Power & Energy Systems
Pages (from-to)509-519
Publication statusPublished - 2018


  • Doubly-fed induction generator (DFIG)
  • Robust control
  • Series compensation
  • Subsynchronous control interaction (SSCI)
  • Wind farm

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