Computing intervals of secure power injection

Abstract: Existing tools used in many power system operations evaluate individual scenarios for power injection and network configuration but fail to consider nearby regions in the operating space. Such tools may lead to market transactions, preventive actions, or corrective actions that are nominally efficient but poor in general. Herein the foundations of an interval method are introduced. The presented results include an algorithm defined within a tractable optimisation framework that computes maximal power injection sets containing power injection profiles that are necessarily secure. The method is demonstrated on a simple 4 bus test system as well as on a medium sized IEEE 30 bus test system