Fourier-based accurate reduced-order model for Linear power systems applications

A Fourier, series-based method for model reduction of large linear power system models is introduced. The method approximates the discrete-time system transfer function by a Fourier expansion and preserves the stability properties of the original system. An iterative procedure to determine both, the Fourier coefficients and the reduced-order model (ROM) is proposed. The developed model represents an alternative to model reduction of large-scale dynamical systems and is used to assess the effect of voltage control by means of static VAR compensators on system damping in a real-world power system.