A Modal-Based Approach for System Frequency Response and Frequency Nadir Prediction

Abstract: This letter introduces a novel approach for predicting system frequency response and frequency nadir by leveraging modal information. It significantly differentiates from traditional methods rooted in the average system frequency model. The proposed methodology targets system modes associated with the slower dynamics of the grid, enabling precise predictions through modal decomposition applied to the full system model. This decomposition facilitates an analytical solution for the frequency at the center of inertia, resulting in highly accurate predictions of both frequency response and nadir. Numerical results from a 39-bus, 10-machine test system verify the method's effectiveness and accuracy. This methodology represents a shift from observing a simplified average system frequency response to a more detailed analysis focusing on system dynamics.