Power system multi-parameter small signal stability analysis based on 2nd order perturbation theory

A novel method based on multi-parameter 2nd order perturbation sensitivity is proposed to analyze the low-frequency oscillation modes in large-scale interconnected power system, since the low-frequency oscillation mode change is hard to determine due to the violent fluctuation of multiple parameters during operation. Firstly, the multi-parameter 2nd order perturbation sensitivity matrices of eigenvalues and eigenvectors are deduced. Then, their multi-parameter 2nd order estimated values are calculated. On the basis of this, the changing system oscillation modes under multiple parameters variation are estimated. The simulation results of WECC (Western Electricity Coordinating Council) system verify that this method is able to assess the small signal stability of the system relatively accurately even several parameters of the system change. Then it can adjust appropriate dispatching method accordingly to improve the damping of dominant oscillation mode. Also, this method makes the solving process direct and clear since it avoids the burdensome derivation calculation of 2nd order sensitivity, and it is time-saving by avoiding solving complicated high-dimensional state matrices.