2020/07/17 by Chetan Mishra, Mishra, Chetan · 1 citation
Engineering · Mathematics · #Dynamical Systems (math.DS) #FOS: Electrical engineering #FOS: Mathematics #Numerical methods for differential equations #Power System Optimization and Stability #Real-time simulation and control systems #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2007.10813
openalex publication_date 2020/07/17 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
Standard power systems are modeled using differential-algebraic equations\n(DAE). Following a transient event, voltage collapse can occur as a bifurcation\nof the transient load flow solutions which is marked by the system trajectory\nreaching a singular surface in state space where the voltage causality is lost.\nIf the system is under such a risk, preventive control decisions such as\nchanges in AVR setpoints need to be taken to enhance the stability. In this\nregard, the knowledge of sensitivity of critical clearing time (CCT) to\ncontrollable system parameters can be of great help. The stability boundary of\nDAE systems is more complicated than ODE systems where in addition to stable\nmanifolds of unstable equilibrium points (UEP) and periodic orbits, singular\nsurfaces play an important role. In the present work, we derive the expressions\nfor CCT sensitivity for a generic DAE model using trajectory sensitivities with\napplications to power system transient stability analysis (TSA) and preventive\ncontrol. The results are illustrated for multiple test systems which are then\nvalidated against computationally intensive time-domain simulations (TDS).\n