Gain Scheduled Adaptive Control Scheme for Damping SSOs in PMSG-Integrated Power System Under High Wind Speed Variability

A gain scheduled adaptive control scheme based on a polytopic linear parameter varying (LPV) system is proposed in this paper to damp sub-synchronous oscillations (SSOs) for power system integrated with permanent magnet synchronous generators (PMSGs) and operating under high wind speed variability. Firstly, the linearized state space model of the PMSG-integrated power system is established. Secondly, a polytopic LPV system is developed to account for the stochastic drift behavior and wind speed variability. Next, a gap metric-based nonlinearity measurement method is used for configuring the vertices of the polytope. The adaptive polytopic LPV controller is solved using linear matrix inequality and gain scheduling control theory, while mode identification based on a sliding window fast Fourier transform is employed for adaptively adjusting the polytopic LPV controller. Finally, the proposed polytopic LPV adaptive control scheme is compared with three other control techniques to demonstrate its effectiveness in suppressing SSOs.