1. Critical Clearing Time Estimates of Power Grid Faults via a Set-Based Method
- Author
-
Esterhuizen, Willem, Molnár, Gyula, Aschenbruck, Tim, Rußwurm, Franz, Askan, Halil, and Streif, Stefan
- Subjects
J.2 ,34H05 93D20 90C35 93B70 ,Optimization and Control (math.OC) ,FOS: Electrical engineering, electronic engineering, information engineering ,FOS: Mathematics ,Systems and Control (eess.SY) ,Electrical Engineering and Systems Science - Systems and Control ,Mathematics - Optimization and Control - Abstract
This paper is concerned with estimating critical clearing times in the transient stability problem of power grids without extensive time-domain simulations. We consider a highdimensional post-fault system (the grid after the fault is cleared) which we decouple into many smaller subsystems. Then, for each subsystem, we find the so-called safety sets and simulate the faulted system once to deduce the so-called safe and unsafe critical clearing times, which specify the intervals of time over which the fault may remain active before safety is compromised. We demonstrate the approach with a numerical example involving the IEEE 14 bus system., 6 pages, 3 figures. Paper is under review
- Published
- 2022