Continuation techniques for reachability analysis of uncertain power systems

The level of uncertainty in power systems is increasing due to substantial growth in renewable generation and increasing reliance on cyber-enabled system-wide responsiveness. In order to guarantee dynamic security of networks, power system designers are in need of practical reachability analysis tools that allow them to assess vulnerability of the system to undesirable outcomes and evaluate the impact of parameter uncertainty. This paper describes a novel suite of parameter continuation algorithms that may be applied to large-scale, stiff, hybrid power systems. They allow the impact of parameter uncertainty to be quantified, thereby enabling secure design through efficient exploration of critical parameter values and initial conditions.