2015/01/30 by Thanh Long Vu, Vu, Thanh Long, Konstantin Turitsyn +1
Engineering · Mathematics · #FOS: Electrical engineering #Microgrid Control and Optimization #Numerical methods for differential equations #Optimal Power Flow Distribution #Power System Optimization and Stability #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1501.07884
openalex publication_date 2015/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The increasing development of the electric power grid, the largest engineered\nsystem ever, to an even more complicated and larger system requires a new\ngeneration of stability assessment methods that are computationally tractable\nand feasible in real-time. In this paper we first extend the recently\nintroduced Lyapunov Functions Family (LFF) transient stability assessment\napproach, that has potential to reduce the computational cost on large scale\npower grids, to structure-preserving power grids. Then, we introduce a new\ngeometry-based method to construct the stability region estimate of power\nsystems. Our conceptual demonstration shows that this new method can certify\nstability of a broader set of initial conditions compared to the\nminimization-based LFF method and the energy methods (closest UEP and\ncontrolling UEP methods).\n