Model reduction for power system with time delay

To improve efficiency for managing power systems with time delay, we propose an improved frequency-weighted model reduction. First, the Padé approximant allows to represent the time delay in the state-space form and build a linear model of the closed-loop power system containing a wide-area damping controller. Then, a weight function is introduced to solve the equilibrium transformation matrix and balance the original system. Finally, residual order reduction is applied to the model of the power system with time delay. We evaluated the proposed method on the two-area four-machines test system and verified the effectiveness of the proposed reduction method.