A Coordinated Robust Damping Scheme of STATCOM and Wind Farm Based on \({\varvec{H}}_{2}\) / \({\varvec{H}}_{\infty }\) Control Considering Communication Delays

The proposed work presents a coordinated robust supplementary control scheme for the static synchronous compensator (STATCOM) and wind farm (WNF) to stabilize the multi-machine power network by simultaneously modulating the reactive power of STATCOM and WNF via d-axis control loops. The control scheme is solved based on a linear matrix inequality (LMI) framework with multi-objective mixed- \(H_{2} /H_{\infty }\) output feedback structure, followed by ensuring the predefined damping level of low-frequency modes (LFMs). Furthermore, the design strategy also takes into account multiple input and output channel communication delays. Eigenvalue analysis confirms the significant enhancement in the damping ratio of the dominant mode using the proposed strategy. Finally, time-domain simulations, subject to typical disturbances and uncertainties caused by wind speed and time delays, are used to validate the effectiveness of the strategy.