Seminar Details
2015-11-24 (13:00) : Robust Power System Stability Assessment with Extensions to Inertia Control
At Euler building (A002)
Organized by Mathematical Engineering
Speaker :
Spyros Chatzivasileiadis (Massachusetts Institute of Technology
)
Abstract :
Security assessment of large-scale, strongly nonlinear power grids is an extremely computationally expensive task. Targeting at reducing this computational cost, we present a framework for constructing a robust assessment toolbox that can provide mathematically rigorous certificates of the grid stability with respect to the variations in system parameters and the grids ability to withstand a set of faults. By this toolbox we can off-line screen a wide range of contingencies in practice, without reassessing the system stability on a regular basis. In particular, we present two novel robust stability and resiliency problems of power grids subject to the uncertainty in equilibrium points and uncertainty in fault-on dynamics. In that, we bring in the quadratic Lyapunov functions approach to transient stability assessment. We extend these techniques further to address the optimal inertia allocation problem in order to guarantee the stability of low-inertia systems. We illustrate our techniques by numerical examples.