A Spatio-Temporal Framework for Spectral Analysis and Control of Interarea Oscillations in Wind-Integrated Power Systems

This brief presents an analytical method to study the effects of wind farm location on the interarea oscillation spectrum of large radial power systems along with a means to shape this spectrum. We consider a continuum representation of the electromechanical swing equations for the power system with the wind power injection modeled as a spatial point source forcing applied at a certain electrical distance from one end of the transfer path. The resulting forced hyperbolic wave equation for the rotor phase angle is used to derive an analytical expression for the spectrum of the power flow as a function of the wind power injection location. A simulation study shows that judicious siting of the wind farm can provide effective damping to a particular set of modes. Finally, we show how the analysis framework can be extended to provide a means of shaping the interarea oscillation spectrum for a grid with a wind farm at an arbitrary location using a simple optimal control design for the wind power output.