Analyzing Transient Voltage Stability Using DA of A State-Reduction Model of Power Systems

High complexity is one of harsh problems in transient voltage stability analysis (TVSA) of power systems. To overcome this difficulty, a state-reduction model incorporating induction motors (IMs) has been considered. And an expanding interior algorithm based on Sum of Squares (SOS) programming is adopted to estimate the domain of attraction (DA) of the state-reduction model for TVSA. First the state space is transformed to polynomial space using coordinate transformation. Then based on Lyapunov stability theorems, relaxed constraints for the DA are derived. Then the expanding interior algorithm based on SOS programming is utilized to simultaneously optimize the Lyapunov function and the DA. The proposed methodology is validated through modified IEEE test cases, demonstrating its effectiveness and robustness in enhancing transient voltage stability assessment in complex power systems.