Dynamic stability analysis of power network

Transient stability analysis (TSA) of power system is gaining importance given the dwindling gap of power generation and demand as well as increasing penetration of intermittent renewable energy sources. Current approaches to TSA are primarily based on time-domain, energy-function, and common-Lyapunov-function based analyses. This paper outlines a transient-stability-analysis approach based on polynomial Lyapunov function (PLF), which is determined algorithmically using sum-of-squares (SOS) optimization in order to maximize the region of attraction (ROA) of an equilibrium solution. This procedure precludes the need for prior knowledge of the form of the Lyapunov or energy function and is applicable for lossless and lossy models. In this paper, the tradeoff between accuracy of determining the ROA of a power-system model and the computation overhead incurred is evaluated.