Designing Transient Stability Controllers for Power Systems via Sum-of-Squares Programming

Traditional stability controllers are constructed based on the equilibrium points of power systems and fail to meet the performance criteria under large disturbances. In this paper, an algorithm has been proposed to design transient stability controllers for power system using Sum-of-squares (SOS) programming which is a powerful technique able to answer many analysis questions for nonlinear systems. Since the SOS programming only deals with polynomial systems, first we recast the power system model into polynomial form. Then we derive the algorithm from the Lyapunov Theory to search for stability controllers of power systems, by introducing the so-called target region and expanding the estimated stability region. The effectiveness of our algorithm is demonstrated on the IEEE 3-machine-9-bus power system.