Robust Power System Stability Assessment with Extensions to Remedial Actions

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 grid's 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 incorporate remedial actions, such as virtual inertia, or HVDC and FACTS, to guarantee the stability of low-inertia systems. We illustrate our techniques by numerical examples.
Spyridon (Spyros) Chatzivasileiadis is a postdoc at MIT. Prior to that he was with Lawrence Berkeley National Laboratory (LBNL), USA. Spyros holds a PhD from ETH Zurich, Switzerland (2013) and a Diploma in Electrical and Computer Engineering from the National Technical University of Athens (NTUA), Greece (2007). Starting in March 2016, he will be an Assistant Professor at the Technical University of Denmark, in Copenhagen.
www.mit.edu/~chatziva