Transient stability analysis of power system using polynomial Lyapunov function based approach

Transient stability analysis (TSA) of power system is gaining significant importance given the dwindling gap of power generation and demand as well as increasing penetration of intermittent renewable energy sources. Traditional approach to TSA has been primarily based on time-domain analysis or energy-function-based approach or based on common-Lyapunov function-based approach. In this paper, exploration of a polynomial-Lyapunov-function based approach is outlined. It promises to overcome the key weaknesses of the traditional approaches with regard to eliminating the need for extensive time-domain simulation or determining specific energy-function or common-Lyapunov forms which is highly intuitive and in several cases are non-existing or do not conform to the definition of Lyapunov's stability.